首页 > 最新文献

International Journal of Solids and Structures最新文献

英文 中文
Hydride induced embrittlement and fracture of non-hardening metals under hydrogen chemical equilibrium 氢化学平衡下非硬化金属的氢化物诱导脆化和断裂
IF 3.4 3区 工程技术 Q1 MECHANICS Pub Date : 2024-09-18 DOI: 10.1016/j.ijsolstr.2024.113073
A.G. Varias

The stress field in the hydride precipitation zone is examined, under conditions of hydrogen chemical equilibrium and constant temperature, in the case of non-hardening metals, by applying slip-line theory. It is proven that the hydride precipitation zone, in any geometry, is a constant stress area. In this area, the principal stresses are equal to the respective principal stresses, before hydride precipitation, minus the difference of hydrostatic stress before and after hydride precipitation. The general relations are applied to the case of a stationary sharp mode-I plane-strain crack and the deviations from Prandtl-field are derived, in the [-π/4, +π/4] sector ahead of the tip, where hydrides precipitate. In this case, the hydride precipitation sector is characterized by a constant hydride volume fraction. In addition, hydride precipitation is associated with the development of elastic sectors along the crack faces and the reduction of the centered fan sectors; the relation between hydride precipitation zone stress trace and the extent of the centered fan sector is presented. The mode-I plane-strain blunted crack is also considered and the deviations from the logarithmic spiral slip-lines is discussed together with the reduction of hydride volume fraction as the blunted crack-tip is approached. A general fracture criterion, based on the strength of hydride platelets, is derived, which indicates that fracture occurs, when a critical hydride precipitation zone stress trace dominates. The criterion is applied, under the condition of a dominant K-field annulus, surrounding the plastic zone, and the estimated threshold stress intensity factor of delayed hydride cracking correlates favorably with experimental measurements.

在氢化学平衡和恒温条件下,通过应用滑移线理论,研究了非硬化金属氢化物析出区的应力场。研究证明,氢化物析出区在任何几何形状下都是一个恒定应力区。在该区域,主应力等于氢化物析出前各自的主应力减去氢化物析出前后的静水压力差。将一般关系应用于静止尖锐模态 I 平面应变裂纹的情况,并推导出在氢化物析出的尖端前方 [-π/4, +π/4] 区域与普朗特场的偏差。在这种情况下,氢化物析出区的特点是氢化物体积分数恒定。此外,氢化物析出还与沿裂纹面弹性扇形区的发展和中心扇形区的减小有关;本文介绍了氢化物析出区应力轨迹与中心扇形区范围之间的关系。此外,还考虑了模式 I 平面应变钝化裂纹,并讨论了对数螺旋滑移线的偏差,以及钝化裂纹顶端接近时氢化物体积分数的减少。根据氢化物板块的强度,得出了一般断裂准则,该准则表明,当临界氢化物析出区应力轨迹占主导地位时,就会发生断裂。该标准是在塑性区周围的 K 场环带占主导地位的条件下应用的,延迟氢化物裂纹的估计临界应力强度因子与实验测量结果密切相关。
{"title":"Hydride induced embrittlement and fracture of non-hardening metals under hydrogen chemical equilibrium","authors":"A.G. Varias","doi":"10.1016/j.ijsolstr.2024.113073","DOIUrl":"10.1016/j.ijsolstr.2024.113073","url":null,"abstract":"<div><p>The stress field in the hydride precipitation zone is examined, under conditions of hydrogen chemical equilibrium and constant temperature, in the case of non-hardening metals, by applying slip-line theory. It is proven that the hydride precipitation zone, in any geometry, is a constant stress area. In this area, the principal stresses are equal to the respective principal stresses, before hydride precipitation, minus the difference of hydrostatic stress before and after hydride precipitation. The general relations are applied to the case of a stationary sharp mode-I plane-strain crack and the deviations from Prandtl-field are derived, in the [-π/4, +π/4] sector ahead of the tip, where hydrides precipitate. In this case, the hydride precipitation sector is characterized by a constant hydride volume fraction. In addition, hydride precipitation is associated with the development of elastic sectors along the crack faces and the reduction of the centered fan sectors; the relation between hydride precipitation zone stress trace and the extent of the centered fan sector is presented. The mode-I plane-strain blunted crack is also considered and the deviations from the logarithmic spiral slip-lines is discussed together with the reduction of hydride volume fraction as the blunted crack-tip is approached. A general fracture criterion, based on the strength of hydride platelets, is derived, which indicates that fracture occurs, when a critical hydride precipitation zone stress trace dominates. The criterion is applied, under the condition of a dominant K-field annulus, surrounding the plastic zone, and the estimated threshold stress intensity factor of delayed hydride cracking correlates favorably with experimental measurements.</p></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"305 ","pages":"Article 113073"},"PeriodicalIF":3.4,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142272621","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Post-Necking full-field FEMU identification of anisotropic plasticity from flat notched tension experiments 从平缺口拉伸实验中识别各向异性塑性的颈后全场有限元分析法
IF 3.4 3区 工程技术 Q1 MECHANICS Pub Date : 2024-09-16 DOI: 10.1016/j.ijsolstr.2024.113076
Emmanouil Sakaridis, Christian C. Roth, Benoit Jordan, Dirk Mohr

This work introduces a finite element model updating (FEMU) identification scheme to determine the material parameters of an anisotropic metal plasticity model. Surround digital image correlation (DIC) data is collected from tensile tests on mildly notched flat specimens and it is used to minimize specimen alignment errors when comparing simulations and experiments. The front surface displacement fields and resultant force history are leveraged to calibrate a Whip-Bezier based material model in a computationally-efficient procedure, which treats the pre- and post-necking regimes separately. Experimental data from specimens with a larger notch radius (NT20) serve as the training set, while data from specimens with a smaller notch radius (NT6) are used for validation. Analysis of identification methods using datasets from virtual experiments highlights the improved generalization ability of the full-field approach compared to solely using force–displacement curves. However, this work also demonstrates that through-thickness necking in real notched tensile experiments is asymmetric. This can hinder the identification of the large strain segment of hardening laws, especially when a FEMU approach incorporates full-field information from one specimen surface only. Consequently, it is recommended to use advanced finite element models that capture asymmetric localized strain fields or to base the identification of large strain hardening responses on experiments that achieve large strains without asymmetric through-thickness strain localization, such as in-plane torsion tests.

本研究介绍了一种有限元模型更新(FEMU)识别方案,用于确定各向异性金属塑性模型的材料参数。环绕数字图像相关(DIC)数据是从轻度缺口平面试样的拉伸试验中收集的,用于在比较模拟和实验时尽量减少试样对齐误差。利用前表面位移场和结果力历史校准基于惠普-贝塞尔(Whip-Bezier)的材料模型,该过程计算效率高,可分别处理颈前和颈后状态。缺口半径较大的试样(NT20)的实验数据作为训练集,缺口半径较小的试样(NT6)的数据用于验证。利用虚拟实验数据集对识别方法进行分析,凸显了全场方法比单纯使用力-位移曲线更强的泛化能力。不过,这项工作也证明,实际缺口拉伸实验中的通厚颈缩是不对称的。这可能会妨碍对硬化规律的大应变段的识别,尤其是当有限元方法只包含一个试样表面的全场信息时。因此,建议使用能捕捉非对称局部应变场的先进有限元模型,或基于能实现大应变而无非对称厚度应变局部化的实验(如面内扭转试验)来识别大应变硬化响应。
{"title":"Post-Necking full-field FEMU identification of anisotropic plasticity from flat notched tension experiments","authors":"Emmanouil Sakaridis,&nbsp;Christian C. Roth,&nbsp;Benoit Jordan,&nbsp;Dirk Mohr","doi":"10.1016/j.ijsolstr.2024.113076","DOIUrl":"10.1016/j.ijsolstr.2024.113076","url":null,"abstract":"<div><p>This work introduces a finite element model updating (FEMU) identification scheme to determine the material parameters of an anisotropic metal plasticity model. Surround digital image correlation (DIC) data is collected from tensile tests on mildly notched flat specimens and it is used to minimize specimen alignment errors when comparing simulations and experiments. The front surface displacement fields and resultant force history are leveraged to calibrate a Whip-Bezier based material model in a computationally-efficient procedure, which treats the pre- and post-necking regimes separately. Experimental data from specimens with a larger notch radius (NT20) serve as the training set, while data from specimens with a smaller notch radius (NT6) are used for validation. Analysis of identification methods using datasets from virtual experiments highlights the improved generalization ability of the full-field approach compared to solely using force–displacement curves. However, this work also demonstrates that through-thickness necking in real notched tensile experiments is asymmetric. This can hinder the identification of the large strain segment of hardening laws, especially when a FEMU approach incorporates full-field information from one specimen surface only. Consequently, it is recommended to use advanced finite element models that capture asymmetric localized strain fields or to base the identification of large strain hardening responses on experiments that achieve large strains without asymmetric through-thickness strain localization, such as in-plane torsion tests.</p></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"305 ","pages":"Article 113076"},"PeriodicalIF":3.4,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142272618","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Compressibility and shear compliance of a pore possessing an (n + 1)-fold axis of symmetry via the use of a conformal mapping function containing an arbitrary number of terms 通过使用包含任意项数的共形映射函数,获得具有 (n + 1) 倍对称轴的孔隙的可压缩性和剪切顺应性
IF 3.4 3区 工程技术 Q1 MECHANICS Pub Date : 2024-09-15 DOI: 10.1016/j.ijsolstr.2024.113075
Xu Wang , Peter Schiavone
We propose a simple yet effective method to determine the compressibility and the shear compliance of a pore possessing an (n + 1)-fold axis of symmetry with n ≥ 2 embedded in an infinite isotropic elastic body. The conformal mapping function which maps the exterior of the pore onto the exterior of the unit circle in the image plane contains an arbitrary number of terms. When the mapping function has N+1 terms, the compressibility and shear compliance are found by solving, respectively, sets of N and 2N coupled linear algebraic equations. Detailed numerical results for the compressibility and shear compliance of equilateral polygonal holes and a five-pointed star shaped hole are presented to demonstrate the proposed solution method.
我们提出了一种简单而有效的方法,用于确定嵌入无限各向同性弹性体中具有 n ≥ 2 的 (n + 1) 倍对称轴的孔隙的可压缩性和剪切顺应性。将孔隙外部映射到图像平面单位圆外部的共形映射函数包含任意数量的项。当映射函数有 N+1 项时,通过分别求解 N 个和 2N 个耦合线性代数方程组,可求得压缩性和剪切顺应性。本文给出了等边多边形孔和五角星形孔的可压缩性和剪切顺应性的详细数值结果,以演示所提出的求解方法。
{"title":"Compressibility and shear compliance of a pore possessing an (n + 1)-fold axis of symmetry via the use of a conformal mapping function containing an arbitrary number of terms","authors":"Xu Wang ,&nbsp;Peter Schiavone","doi":"10.1016/j.ijsolstr.2024.113075","DOIUrl":"10.1016/j.ijsolstr.2024.113075","url":null,"abstract":"<div><div>We propose a simple yet effective method to determine the compressibility and the shear compliance of a pore possessing an (<em>n</em> + 1)-fold axis of symmetry with <em>n</em> ≥ 2 embedded in an infinite isotropic elastic body. The conformal mapping function which maps the exterior of the pore onto the exterior of the unit circle in the image plane contains an arbitrary number of terms. When the mapping function has <em>N</em>+1 terms, the compressibility and shear compliance are found by solving, respectively, sets of <em>N</em> and 2<em>N</em> coupled linear algebraic equations. Detailed numerical results for the compressibility and shear compliance of equilateral polygonal holes and a five-pointed star shaped hole are presented to demonstrate the proposed solution method.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"306 ","pages":"Article 113075"},"PeriodicalIF":3.4,"publicationDate":"2024-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142532420","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Towards a rational approach for multi-axial experimental campaigns for rubberlike material 橡胶类材料多轴实验活动的合理方法
IF 3.4 3区 工程技术 Q1 MECHANICS Pub Date : 2024-09-10 DOI: 10.1016/j.ijsolstr.2024.113060
Benjamin Martin , Erwan Verron , Michel Coret , Nathan Selles

This work takes up the developments around the logarithmic strain tensor and uses the invariants of this tensor to propose a new approach to multi-axiality of fatigue experiments for elastomers. This study leads to the introduction of a new notion, modality, which is intended as the microscopic counterpart of uni- and multi-axiality. This notion is quantified by the K3 invariant (mode of deformation) of the logarithmic strain tensor, and is used to rationalize tension–torsion experimental campaigns. It is illustrated using two examples: the perfect cylinder and the AE2 “diabolo” sample. We then propose a methodology for building a test campaign based on this new definition.

这项工作围绕对数应变张量展开,并利用该张量的不变量提出了弹性体疲劳实验多轴性的新方法。这项研究引入了一个新概念--模态,作为单轴性和多轴性的微观对应概念。这一概念通过对数应变张量的 K3 不变式(变形模式)进行量化,并用于拉伸-扭转实验活动的合理化。我们用两个例子对其进行了说明:完美圆柱体和 AE2 "扯铃 "样品。然后,我们提出了基于这一新定义的试验方法。
{"title":"Towards a rational approach for multi-axial experimental campaigns for rubberlike material","authors":"Benjamin Martin ,&nbsp;Erwan Verron ,&nbsp;Michel Coret ,&nbsp;Nathan Selles","doi":"10.1016/j.ijsolstr.2024.113060","DOIUrl":"10.1016/j.ijsolstr.2024.113060","url":null,"abstract":"<div><p>This work takes up the developments around the logarithmic strain tensor and uses the invariants of this tensor to propose a new approach to multi-axiality of fatigue experiments for elastomers. This study leads to the introduction of a new notion, modality, which is intended as the microscopic counterpart of uni- and multi-axiality. This notion is quantified by the <span><math><msub><mrow><mi>K</mi></mrow><mrow><mn>3</mn></mrow></msub></math></span> invariant (mode of deformation) of the logarithmic strain tensor, and is used to rationalize tension–torsion experimental campaigns. It is illustrated using two examples: the perfect cylinder and the AE2 “diabolo” sample. We then propose a methodology for building a test campaign based on this new definition.</p></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"305 ","pages":"Article 113060"},"PeriodicalIF":3.4,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142232888","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Generalized prismatic tensegrity derived by dihedral symmetric lines 由二面对称线衍生的广义棱柱张弦结构
IF 3.4 3区 工程技术 Q1 MECHANICS Pub Date : 2024-09-10 DOI: 10.1016/j.ijsolstr.2024.113068
Liheng Wu, Jianguo Cai

Classic prismatic tensegrity structures, characterized by dihedral symmetry with one orbit of nodes, are among the simplest and possibly the earliest spatial tensegrity structures invented. This paper introduces a generalized form of the prismatic tensegrity structures by converting a single-loop linkage into truss, in which the lines of joint axes rather than the nodes have dihedral symmetry. Since the vector space formed by the line coordinates of these joints has rank degeneracy one, the generated tensegrity structures are kinematically and statically indeterminate. These tensegrity structures are further proved to be prestress-stable, generally, for the total or partial parameter space of lines based on a second-order analysis of screws, and are called dihedral-line tensegrity structures in this paper. Specifically, this paper focuses on symmetric dihedral-line tensegrity structures, in which the nodes also have dihedral symmetry but in two orbits and members in seven orbits, and are called two-orbit dihedral-line tensegrity structures. It is found that there are at least N struts for the generated tensegrity with DN symmetry. And the classic prismatic tensegrity structures can be recovered from these dihedral-line tensegrity structures by removing certain zero-force members. Symmetric-adapted force density matrices are also provided as well as the relation to that of the classic prismatic tensegrity. Given 4N+6 dimensional parameters inherent to these tensegrity structures, a rich variety of tensegrity structure family is presented.

经典的棱柱式张拉整体结构具有二面对称的特点,节点为一轨道,是最简单也可能是最早发明的空间张拉整体结构之一。本文通过将单环连杆转换为桁架,引入了棱柱式张拉整体结构的广义形式,在这种结构中,连接轴线而不是节点具有二面对称性。由于这些关节的线坐标形成的矢量空间具有秩退化一,因此生成的张拉整体结构在运动学和静力学上都是不确定的。根据对螺钉的二阶分析,进一步证明了这些张拉整体结构在一般情况下对于线的总参数空间或部分参数空间是预应力稳定的,本文将其称为二面体线张拉整体结构。具体而言,本文重点研究对称二面体线张拉整体结构,其中节点也具有二面体对称性,但节点在两个轨道上,而构件在七个轨道上,本文称之为二轨道二面体线张拉整体结构。研究发现,生成的具有 DN 对称性的张拉整体至少有 N 个支点。通过去除某些零力构件,可以从这些二面线张拉结构中恢复出经典的棱柱张拉结构。此外,还提供了对称适应的力密度矩阵以及与经典棱柱型张拉整体结构的关系。考虑到这些张弦结构固有的 4N+6 维参数,呈现了丰富多样的张弦结构族。
{"title":"Generalized prismatic tensegrity derived by dihedral symmetric lines","authors":"Liheng Wu,&nbsp;Jianguo Cai","doi":"10.1016/j.ijsolstr.2024.113068","DOIUrl":"10.1016/j.ijsolstr.2024.113068","url":null,"abstract":"<div><p>Classic prismatic tensegrity structures, characterized by dihedral symmetry with one orbit of nodes, are among the simplest and possibly the earliest spatial tensegrity structures invented. This paper introduces a generalized form of the prismatic tensegrity structures by converting a single-loop linkage into truss, in which the lines of joint axes rather than the nodes have dihedral symmetry. Since the vector space formed by the line coordinates of these joints has rank degeneracy one, the generated tensegrity structures are kinematically and statically indeterminate. These tensegrity structures are further proved to be prestress-stable, generally, for the total or partial parameter space of lines based on a second-order analysis of screws, and are called dihedral-line tensegrity structures in this paper. Specifically, this paper focuses on symmetric dihedral-line tensegrity structures, in which the nodes also have dihedral symmetry but in two orbits and members in seven orbits, and are called two-orbit dihedral-line tensegrity structures. It is found that there are at least <em>N</em> struts for the generated tensegrity with <span><math><mrow><msub><mi>D</mi><mi>N</mi></msub></mrow></math></span> symmetry. And the classic prismatic tensegrity structures can be recovered from these dihedral-line tensegrity structures by removing certain zero-force members. Symmetric-adapted force density matrices are also provided as well as the relation to that of the classic prismatic tensegrity. Given <span><math><mrow><mn>4</mn><mi>N</mi><mo>+</mo><mn>6</mn></mrow></math></span> dimensional parameters inherent to these tensegrity structures, a rich variety of tensegrity structure family is presented.</p></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"305 ","pages":"Article 113068"},"PeriodicalIF":3.4,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142239780","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mixed variational formulation and finite-element implementation of second-order poro-elasticity 二阶孔弹性的混合变分公式和有限元实现
IF 3.4 3区 工程技术 Q1 MECHANICS Pub Date : 2024-09-10 DOI: 10.1016/j.ijsolstr.2024.113055
Hamza Khurshid, Elten Polukhov, Marc-André Keip
We present a variational formulation of second-order poro-elasticity that can be readily implemented into finite-element codes by using standard Lagrangian interpolation functions. Point of departure is a two-field minimization principle in terms of the displacement and the fluid flux as independent variables. That principle is taken as a basis for the derivation of continuous and incremental saddle-point formulations in terms of an extended set of independent variables. By static condensation this formulation is then reduced to a minimization principle in terms of the displacement and fluid flux as well as associated higher-order fields. Once implemented into a finite-element code, the resulting formulation can be applied to the numerical simulation of porous media in consideration of second-order effects. Here, we analyze the model response by means of several example problems including two standard tests in poro-elasticity, namely the consolidation problems of Terzaghi and Mandel, and compare the results with those of a corresponding first-order model. As becomes clear, the second-order formulation can unleash its full potential when applied to the study of porous media having spatial dimensions comparable to the size of their microstructure. In particular, it is capable to regularize steep field gradients at external as well as internal surfaces and to describe material dilatation effects known from experiments.
我们提出了一种二阶孔弹性的变分公式,通过使用标准的拉格朗日插值函数,可以很容易地将其应用到有限元代码中。其出发点是以位移和流体通量为自变量的两场最小化原理。以这一原理为基础,可以推导出以一组扩展自变量为基础的连续和增量鞍点公式。然后,通过静态压缩,将该公式简化为以位移和流体通量以及相关高阶场为单位的最小化原理。一旦将其应用于有限元代码,就可以在考虑二阶效应的情况下对多孔介质进行数值模拟。在此,我们通过几个例题分析了模型的响应,包括两个标准的孔弹性测试,即 Terzaghi 和 Mandel 的固结问题,并将结果与相应的一阶模型进行了比较。显而易见,当二阶模型用于研究空间尺寸与其微观结构尺寸相当的多孔介质时,可以充分发挥其潜力。特别是,它能够正则化外表面和内表面的陡峭场梯度,并能描述实验中已知的材料膨胀效应。
{"title":"Mixed variational formulation and finite-element implementation of second-order poro-elasticity","authors":"Hamza Khurshid,&nbsp;Elten Polukhov,&nbsp;Marc-André Keip","doi":"10.1016/j.ijsolstr.2024.113055","DOIUrl":"10.1016/j.ijsolstr.2024.113055","url":null,"abstract":"<div><div>We present a variational formulation of second-order poro-elasticity that can be readily implemented into finite-element codes by using standard Lagrangian interpolation functions. Point of departure is a two-field minimization principle in terms of the displacement and the fluid flux as independent variables. That principle is taken as a basis for the derivation of continuous and incremental saddle-point formulations in terms of an extended set of independent variables. By static condensation this formulation is then reduced to a minimization principle in terms of the displacement and fluid flux as well as associated higher-order fields. Once implemented into a finite-element code, the resulting formulation can be applied to the numerical simulation of porous media in consideration of second-order effects. Here, we analyze the model response by means of several example problems including two standard tests in poro-elasticity, namely the consolidation problems of Terzaghi and Mandel, and compare the results with those of a corresponding first-order model. As becomes clear, the second-order formulation can unleash its full potential when applied to the study of porous media having spatial dimensions comparable to the size of their microstructure. In particular, it is capable to regularize steep field gradients at external as well as internal surfaces and to describe material dilatation effects known from experiments.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"305 ","pages":"Article 113055"},"PeriodicalIF":3.4,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142322458","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Energy absorption of Kresling pattern thin-walled structures with pre-folded patterns and graded stiffness 具有预折叠图案和分级刚度的克瑞斯林图案薄壁结构的能量吸收
IF 3.4 3区 工程技术 Q1 MECHANICS Pub Date : 2024-09-06 DOI: 10.1016/j.ijsolstr.2024.113057
Xiaolei Wang , Haibo Qu , Buqin Hu , Haoqian Wang , Wenju Liu , Sheng Guo

Traditional thin-walled structures are widely employed in several energy-absorbing engineering fields, and origami patterns inspire novel structures with unique functionalities in this area. In this study, we explore energy-absorbing effects of origami-inspired thin-walled structures from perspective of the predicted stability of the Kresling origami. Our research utilizes finite element analysis and experimental validation to evaluate and contrast the energy-absorbing effects of the Kresling origami-inspired thin-walled structures (KOI-TWSs) with a traditional hexagonal thin-walled structure (HTWS). The results indicate that introducing the Kresling origami pattern into the thin-walled structure to obtain geometric defects (pre-folded pattern) and graded stiffness, and their effects are reflected in improving the buckling deformation stability or reducing the initial peak force. These effects depend on the predicted stability of the Kresling origami and are intuitively reflected in the geometric parameters. On the other hand, the reusability of materials is worth considering for improving the energy absorption of the thin-walled structures. These works provide new contents and perspectives for the KOI-TWSs.

传统的薄壁结构被广泛应用于多个吸能工程领域,而折纸图案则激发了该领域具有独特功能的新型结构。在本研究中,我们从 Kresling 折纸的预测稳定性角度出发,探讨了折纸启发薄壁结构的吸能效果。我们的研究利用有限元分析和实验验证来评估和对比克瑞斯林折纸启发薄壁结构(KOI-TWSs)与传统六边形薄壁结构(HTWS)的能量吸收效果。结果表明,在薄壁结构中引入克瑞斯林折纸图案可获得几何缺陷(预折叠图案)和分级刚度,其效果体现在提高屈曲变形稳定性或降低初始峰值力上。这些效果取决于克瑞斯林折纸的预测稳定性,并直观地反映在几何参数中。另一方面,材料的可重复使用性也值得考虑,以提高薄壁结构的能量吸收能力。这些工作为 KOI-TWS 提供了新的内容和前景。
{"title":"Energy absorption of Kresling pattern thin-walled structures with pre-folded patterns and graded stiffness","authors":"Xiaolei Wang ,&nbsp;Haibo Qu ,&nbsp;Buqin Hu ,&nbsp;Haoqian Wang ,&nbsp;Wenju Liu ,&nbsp;Sheng Guo","doi":"10.1016/j.ijsolstr.2024.113057","DOIUrl":"10.1016/j.ijsolstr.2024.113057","url":null,"abstract":"<div><p>Traditional thin-walled structures are widely employed in several energy-absorbing engineering fields, and origami patterns inspire novel structures with unique functionalities in this area. In this study, we explore energy-absorbing effects of origami-inspired thin-walled structures from perspective of the predicted stability of the Kresling origami. Our research utilizes finite element analysis and experimental validation to evaluate and contrast the energy-absorbing effects of the Kresling origami-inspired thin-walled structures (KOI-TWSs) with a traditional hexagonal thin-walled structure (HTWS). The results indicate that introducing the Kresling origami pattern into the thin-walled structure to obtain geometric defects (pre-folded pattern) and graded stiffness, and their effects are reflected in improving the buckling deformation stability or reducing the initial peak force. These effects depend on the predicted stability of the Kresling origami and are intuitively reflected in the geometric parameters. On the other hand, the reusability of materials is worth considering for improving the energy absorption of the thin-walled structures. These works provide new contents and perspectives for the KOI-TWSs.</p></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"305 ","pages":"Article 113057"},"PeriodicalIF":3.4,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142164961","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Elastic wave propagation in cubic non-centrosymmetric and chiral architectured materials: Insights from strain gradient elasticity 立方非中心对称和手性结构材料中的弹性波传播:应变梯度弹性的启示
IF 3.4 3区 工程技术 Q1 MECHANICS Pub Date : 2024-09-06 DOI: 10.1016/j.ijsolstr.2024.113059
G. Rosi , N. Auffray , C. Combescure

In this paper, we investigate wave propagation in cubic periodic architectured materials. We analyse three different types of unit cells, with distinct symmetries (centrosymmetric, non-centrosymmetric chiral and non-centrosymmetric achiral) with the aim of investigating the consequences of such symmetries on the elastodynamic behaviour of the architectured material. To this end, numerical simulations are performed on unit cells representative of the three types, to extract phase velocities and polarisations of waves along different directions. It is shown that some unconventional couplings between the different eigensolutions give rise to circular or elliptically polarised waves, associated with dispersive effects (acoustical activity). Subsequently, a theoretical analysis using a generalised equivalent continuum model (strain gradient elasticity) is performed to analyse these results and unveil the links between the symmetries of the architecture and the macroscopic elastodynamic behaviour. Indeed, it is shown that strain gradient elasticity is able to discriminate between the three symmetry classes, that are seen as equivalent by a classic continuum theory.

本文研究了立方周期结构材料中的波传播。我们分析了具有不同对称性(中心对称、非中心对称手性和非中心对称非手性)的三种不同类型的单元格,旨在研究这些对称性对建筑材料弹性力学行为的影响。为此,对这三种类型的代表性单元格进行了数值模拟,以提取沿不同方向的相速度和波的极性。结果表明,不同等效解之间的一些非常规耦合会产生圆形或椭圆形极化波,这与分散效应(声学活动)有关。随后,利用广义等效连续模型(应变梯度弹性)进行了理论分析,对这些结果进行了分析,并揭示了结构对称性与宏观弹性力学行为之间的联系。结果表明,应变梯度弹性能够区分经典连续体理论认为等同的三个对称类别。
{"title":"Elastic wave propagation in cubic non-centrosymmetric and chiral architectured materials: Insights from strain gradient elasticity","authors":"G. Rosi ,&nbsp;N. Auffray ,&nbsp;C. Combescure","doi":"10.1016/j.ijsolstr.2024.113059","DOIUrl":"10.1016/j.ijsolstr.2024.113059","url":null,"abstract":"<div><p>In this paper, we investigate wave propagation in cubic periodic architectured materials. We analyse three different types of unit cells, with distinct symmetries (centrosymmetric, non-centrosymmetric chiral and non-centrosymmetric achiral) with the aim of investigating the consequences of such symmetries on the elastodynamic behaviour of the architectured material. To this end, numerical simulations are performed on unit cells representative of the three types, to extract phase velocities and polarisations of waves along different directions. It is shown that some unconventional couplings between the different eigensolutions give rise to circular or elliptically polarised waves, associated with dispersive effects (acoustical activity). Subsequently, a theoretical analysis using a generalised equivalent continuum model (strain gradient elasticity) is performed to analyse these results and unveil the links between the symmetries of the architecture and the macroscopic elastodynamic behaviour. Indeed, it is shown that strain gradient elasticity is able to discriminate between the three symmetry classes, that are seen as equivalent by a classic continuum theory.</p></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"305 ","pages":"Article 113059"},"PeriodicalIF":3.4,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0020768324004189/pdfft?md5=eae4b1d20f1a7b36eda3f7a25c32fb04&pid=1-s2.0-S0020768324004189-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142239781","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Competing behavior of interface delamination and wafer cracking during peeling film from ultra-thin wafer 从超薄晶片剥离薄膜时界面脱层和晶片开裂的竞争行为
IF 3.4 3区 工程技术 Q1 MECHANICS Pub Date : 2024-09-04 DOI: 10.1016/j.ijsolstr.2024.113058
Wei Jian , Hanbin Yin , Ying Chen , Xue Feng

Peeling the front-side film from the flexible and ultra-thin wafer is a critical procedure for the fabrication of ultra-thin chips. For a successful peeling process, the following conditions are required simultaneously: the interface between the film and the wafer is debonded, the interface between the wafer and the substrate remains undelaminated, and the wafer stays intact. However, there are relatively few studies focusing on the underlying mechanism in this peeling process. Here, a theoretical model is developed to investigate the competing behavior of interface delamination and wafer cracking for the bilayer film-substrate system. Based on the constant-stress (Dugdale) cohesive law and Euler-Bernoulli beam theory, both the competing interface delamination criterion and the wafer cracking criterion are determined. The corresponding competing maps of interface delamination and wafer cracking are obtained, in which the interface delamination path and the wafer safety status can be predicted. The effect of several dimensionless parameters on the competing behavior of interface delamination and wafer cracking is examined systematically, including the property of the geometry, the material, and the interface of the bilayer film-substrate system. The theoretical model is validated by both finite element analysis (FEA) and experimental results. This research aims to provide some guidance for optimizing the peeling parameters and contribute to a higher success rate of peeling process.

从柔性超薄晶片上剥离正面薄膜是制造超薄芯片的关键步骤。成功的剥离过程需要同时满足以下条件:薄膜与晶片之间的界面脱粘,晶片与基底之间的界面保持未分层,晶片保持完好。然而,对这一剥离过程的基本机制的研究相对较少。本文建立了一个理论模型,以研究双层薄膜-基底系统中界面分层和晶片开裂的竞争行为。根据恒应力(Dugdale)内聚定律和欧拉-伯努利梁理论,确定了竞争性界面分层准则和晶片开裂准则。得到了相应的界面分层和晶片开裂竞争图,并据此预测了界面分层路径和晶片安全状态。系统研究了几个无量纲参数对界面分层和晶片开裂竞争行为的影响,包括双层薄膜-基底系统的几何特性、材料特性和界面特性。有限元分析(FEA)和实验结果对理论模型进行了验证。这项研究旨在为优化剥离参数提供一些指导,从而提高剥离过程的成功率。
{"title":"Competing behavior of interface delamination and wafer cracking during peeling film from ultra-thin wafer","authors":"Wei Jian ,&nbsp;Hanbin Yin ,&nbsp;Ying Chen ,&nbsp;Xue Feng","doi":"10.1016/j.ijsolstr.2024.113058","DOIUrl":"10.1016/j.ijsolstr.2024.113058","url":null,"abstract":"<div><p>Peeling the front-side film from the flexible and ultra-thin wafer is a critical procedure for the fabrication of ultra-thin chips. For a successful peeling process, the following conditions are required simultaneously: the interface between the film and the wafer is debonded, the interface between the wafer and the substrate remains undelaminated, and the wafer stays intact. However, there are relatively few studies focusing on the underlying mechanism in this peeling process. Here, a theoretical model is developed to investigate the competing behavior of interface delamination and wafer cracking for the bilayer film-substrate system. Based on the constant-stress (Dugdale) cohesive law and Euler-Bernoulli beam theory, both the competing interface delamination criterion and the wafer cracking criterion are determined. The corresponding competing maps of interface delamination and wafer cracking are obtained, in which the interface delamination path and the wafer safety status can be predicted. The effect of several dimensionless parameters on the competing behavior of interface delamination and wafer cracking is examined systematically, including the property of the geometry, the material, and the interface of the bilayer film-substrate system. The theoretical model is validated by both finite element analysis (FEA) and experimental results. This research aims to provide some guidance for optimizing the peeling parameters and contribute to a higher success rate of peeling process.</p></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"305 ","pages":"Article 113058"},"PeriodicalIF":3.4,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142173307","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A “poor-man’s” deformation plasticity based approach to topology optimization of elastoplastic structures 基于 "穷人 "变形塑性的弹塑性结构拓扑优化方法
IF 3.4 3区 工程技术 Q1 MECHANICS Pub Date : 2024-09-03 DOI: 10.1016/j.ijsolstr.2024.113056
Kai Li , Mathias Wallin , Matti Ristinmaa , Gengdong Cheng

This paper presents a topology optimization framework utilizing a deformation plasticity model to approximate the isotropic hardening von-Mises incremental elastoplasticity model under monotone proportional loading. One advantage of the model is that it is based on a yield surface allowing for precise matching to uniaxial elastoplastic isotropic hardening response. The deformation plasticity model and the incremental plasticity model coincides for proportional loading and since the deformation plasticity model is path-independent, the computational cost and implementation complexity reduce significantly compared to the conventional incremental elastoplasticity. To investigate the deformation plasticity model combined with topology optimization, we compare three common elastoplastic optimization objectives: stiffness, strain energy and plastic work. The possibility to limit the peak local plastic work while maximizing the strain energy is also investigated. The consistent analytical sensitivity analysis which only requires the terminal state is derived using adjoint method. Numerical examples demonstrate that the proportionality assumption is reasonable and the deformation plasticity model combined with topology optimization is a competitive alternative to cumbersome incremental elastoplasticity.

本文提出了一个拓扑优化框架,利用变形塑性模型来近似单调比例加载下的各向同性硬化 von-Mises 增量弹塑性模型。该模型的优点之一是以屈服面为基础,可精确匹配单轴弹塑性各向同性硬化响应。变形塑性模型和增量塑性模型在比例加载时是一致的,而且由于变形塑性模型与路径无关,因此与传统的增量弹塑性模型相比,计算成本和实施复杂性大大降低。为了研究与拓扑优化相结合的变形塑性模型,我们比较了三种常见的弹塑性优化目标:刚度、应变能和塑性功。我们还研究了在最大化应变能的同时限制局部塑性功峰值的可能性。通过使用邻接法,得出了一致的分析灵敏度分析,该分析只需要终端状态。数值示例表明,比例假设是合理的,而且变形塑性模型与拓扑优化相结合,可替代繁琐的增量弹塑性模型。
{"title":"A “poor-man’s” deformation plasticity based approach to topology optimization of elastoplastic structures","authors":"Kai Li ,&nbsp;Mathias Wallin ,&nbsp;Matti Ristinmaa ,&nbsp;Gengdong Cheng","doi":"10.1016/j.ijsolstr.2024.113056","DOIUrl":"10.1016/j.ijsolstr.2024.113056","url":null,"abstract":"<div><p>This paper presents a topology optimization framework utilizing a deformation plasticity model to approximate the isotropic hardening von-Mises incremental elastoplasticity model under monotone proportional loading. One advantage of the model is that it is based on a yield surface allowing for precise matching to uniaxial elastoplastic isotropic hardening response. The deformation plasticity model and the incremental plasticity model coincides for proportional loading and since the deformation plasticity model is path-independent, the computational cost and implementation complexity reduce significantly compared to the conventional incremental elastoplasticity. To investigate the deformation plasticity model combined with topology optimization, we compare three common elastoplastic optimization objectives: stiffness, strain energy and plastic work. The possibility to limit the peak local plastic work while maximizing the strain energy is also investigated. The consistent analytical sensitivity analysis which only requires the terminal state is derived using adjoint method. Numerical examples demonstrate that the proportionality assumption is reasonable and the deformation plasticity model combined with topology optimization is a competitive alternative to cumbersome incremental elastoplasticity.</p></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"305 ","pages":"Article 113056"},"PeriodicalIF":3.4,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142157712","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
期刊
International Journal of Solids and Structures
全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1