首页 > 最新文献

Forces in mechanics最新文献

英文 中文
A closed-form energy expression ensuring consistency in the atomistic-continuum coupling: A one-dimensional atomic chain study 确保原子-连续体耦合一致性的封闭形式能量表达式:一维原子链研究
IF 3.2 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-03-11 DOI: 10.1016/j.finmec.2025.100311
Pouya Towhidi, Manouchehr Salehi
It is well known that coupling atomistic and continuum domains introduces inconsistencies near the interface. These inconsistencies manifest as nonphysical forces, known as “ghost forces,” which can lead to significant errors in the solution. In this paper, we propose a novel approach to achieve a consistent atomistic-continuum interface for the quasicontinuum method, applicable to two-body potentials with unlimited range of interaction. To this end, artificial nodes and elements are introduced located at specified positions, and appropriate constraints are applied. We show that in this way, not only ghost forces are eliminated but also the energy remains compatible through the interface. The method is applied to model surface effect and void defect in static problems, as well as to simulate wave propagation. The results demonstrate that the approach substantially improves accuracy in both static and dynamic problems.
众所周知,耦合原子和连续域会在界面附近引入不一致性。这些不一致表现为非物理力,称为“幽灵力”,这可能导致解决方案中的重大错误。在本文中,我们提出了一种新的方法来实现准连续介质方法的一致原子-连续介质界面,适用于具有无限相互作用范围的两体势。为此,在指定位置引入人工节点和元素,并施加适当的约束。我们表明,这样不仅消除了鬼力,而且能量通过界面保持兼容。该方法用于模拟静力问题中的表面效应和空洞缺陷,以及模拟波的传播。结果表明,该方法大大提高了静态和动态问题的精度。
{"title":"A closed-form energy expression ensuring consistency in the atomistic-continuum coupling: A one-dimensional atomic chain study","authors":"Pouya Towhidi,&nbsp;Manouchehr Salehi","doi":"10.1016/j.finmec.2025.100311","DOIUrl":"10.1016/j.finmec.2025.100311","url":null,"abstract":"<div><div>It is well known that coupling atomistic and continuum domains introduces inconsistencies near the interface. These inconsistencies manifest as nonphysical forces, known as “ghost forces,” which can lead to significant errors in the solution. In this paper, we propose a novel approach to achieve a consistent atomistic-continuum interface for the quasicontinuum method, applicable to two-body potentials with unlimited range of interaction. To this end, artificial nodes and elements are introduced located at specified positions, and appropriate constraints are applied. We show that in this way, not only ghost forces are eliminated but also the energy remains compatible through the interface. The method is applied to model surface effect and void defect in static problems, as well as to simulate wave propagation. The results demonstrate that the approach substantially improves accuracy in both static and dynamic problems.</div></div>","PeriodicalId":93433,"journal":{"name":"Forces in mechanics","volume":"19 ","pages":"Article 100311"},"PeriodicalIF":3.2,"publicationDate":"2025-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143716068","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Investigating the orthotropic damage and phase trans-formation for steel 316 at ambient temperature 研究常温下 316 钢的正交破坏和相变
IF 3.2 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-02-21 DOI: 10.1016/j.finmec.2025.100310
Reza Barkhordari , Mehdi Ganjiani , Shahram Etemadi Haghighi
This research investigates the evolution of plastic strain-induced damage and martensite transformation at ambient temperature in austenitic stainless steels AISI-316. A constitutive model is developed within the Continuum Damage Mechanics framework to account for strain-induced phase transformation and damage growth during plastic deformation. This model is implemented using the UMAT subroutine in ABAQUS/STANDARD for numerical simulations. Experimental tests, including tensile and torsional tests with loading-unloading, have been conducted to assess the damage. X-ray diffraction has been used to measure the volume fraction of martensite. This 3D model accurately predicts the hardening behavior, martensite evolution, and damage growth at room temperature. Simulation results and experimental data have been compared for verification purposes.
本文研究了奥氏体不锈钢AISI-316在室温下塑性应变损伤和马氏体转变的演变过程。在连续损伤力学框架内建立了一个本构模型来解释塑性变形过程中应变诱导的相变和损伤增长。该模型采用ABAQUS/STANDARD中的UMAT子程序进行数值模拟。试验测试,包括拉伸和扭转试验与加载-卸载,进行了评估损伤。用x射线衍射法测定了马氏体的体积分数。该三维模型可准确预测室温下的硬化行为、马氏体演化和损伤生长。仿真结果与实验数据进行了对比验证。
{"title":"Investigating the orthotropic damage and phase trans-formation for steel 316 at ambient temperature","authors":"Reza Barkhordari ,&nbsp;Mehdi Ganjiani ,&nbsp;Shahram Etemadi Haghighi","doi":"10.1016/j.finmec.2025.100310","DOIUrl":"10.1016/j.finmec.2025.100310","url":null,"abstract":"<div><div>This research investigates the evolution of plastic strain-induced damage and martensite transformation at ambient temperature in austenitic stainless steels AISI-316. A constitutive model is developed within the Continuum Damage Mechanics framework to account for strain-induced phase transformation and damage growth during plastic deformation. This model is implemented using the UMAT subroutine in ABAQUS/STANDARD for numerical simulations. Experimental tests, including tensile and torsional tests with loading-unloading, have been conducted to assess the damage. X-ray diffraction has been used to measure the volume fraction of martensite. This 3D model accurately predicts the hardening behavior, martensite evolution, and damage growth at room temperature. Simulation results and experimental data have been compared for verification purposes.</div></div>","PeriodicalId":93433,"journal":{"name":"Forces in mechanics","volume":"19 ","pages":"Article 100310"},"PeriodicalIF":3.2,"publicationDate":"2025-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143521140","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Response characteristics analysis of a simply supported double-beam system under harmonic variable magnitude travelling load 简支双梁系统在谐波变幅行载作用下的响应特性分析
IF 3.2 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-02-15 DOI: 10.1016/j.finmec.2025.100307
B. Omolofe, N.P. Okafor
In this study, dynamic characteristics of a simply supported double-beam system under the actions of harmonic variable magnitude travelling load was investigated. The system is made up of two parallel prismatic thick beams connected constantly by a layer of viscoelastic material. The governing equations describing the motion of this double-beam when under the actions of a moving load is a set of two fourth order non homogeneous partial differential equations with singular and variable coefficients. To solve this coupled partial differential equations, a versatile method of solution capable of treating this class of problem for all variants of boundary conditions is employed. This involves the application of the Generalized Fourier Sine Transform Method (GFSTM), in conjunction with a modified Asymptotic Method of Struble (AMS) and the Differential Transform Method (DTM). The GFSTM was employed in the first instance to transform the set of partial differential equations of order four governing the motions of the structural members into a sequence of coupled second order ordinary differential equations. The transformed coupled ordinary differential equations was further simplified using AMS. The differential transform method was finally applied to obtain a mathematical expressions representing the coordinates in modal space. Thus, an approximate analytical solutions representing the displacement amplitude of the double-beam system under the action of the traversing load was obtained for the moving force and moving mass models respectively. Analysis of the approximate analytical solutions was presented. Various results were discussed and displayed in plotted curves. Effects of some vital load and structural parameters on the response characteristics of the beam-load system were examined and presented. Conditions under which the systems experiences resonance phenomenon were established and reported.
本文研究了简支双梁系统在谐波变幅行荷载作用下的动力特性。该系统由两个平行的棱柱形厚梁组成,由一层粘弹性材料连续连接。描述这种双梁在移动荷载作用下运动的控制方程是两个四阶非齐次变系数奇异偏微分方程的集合。为了求解这类耦合偏微分方程,采用了一种通用性的解法,能够处理这类问题的所有边界条件的变量。这涉及到广义傅立叶正弦变换方法(GFSTM)的应用,结合改进的渐近故障方法(AMS)和微分变换方法(DTM)。首先利用GFSTM将控制构件运动的四阶偏微分方程转化为一组耦合的二阶常微分方程。利用AMS进一步简化了变换后的耦合常微分方程。最后应用微分变换方法得到模态空间坐标的数学表达式。由此,分别得到了运动力模型和运动质量模型在横向荷载作用下双梁系统位移幅值的近似解析解。给出了近似解析解的分析。讨论了各种结果,并绘制了曲线。研究了一些重要荷载和结构参数对梁载系统响应特性的影响。建立并报道了系统发生共振现象的条件。
{"title":"Response characteristics analysis of a simply supported double-beam system under harmonic variable magnitude travelling load","authors":"B. Omolofe,&nbsp;N.P. Okafor","doi":"10.1016/j.finmec.2025.100307","DOIUrl":"10.1016/j.finmec.2025.100307","url":null,"abstract":"<div><div>In this study, dynamic characteristics of a simply supported double-beam system under the actions of harmonic variable magnitude travelling load was investigated. The system is made up of two parallel prismatic thick beams connected constantly by a layer of viscoelastic material. The governing equations describing the motion of this double-beam when under the actions of a moving load is a set of two fourth order non homogeneous partial differential equations with singular and variable coefficients. To solve this coupled partial differential equations, a versatile method of solution capable of treating this class of problem for all variants of boundary conditions is employed. This involves the application of the Generalized Fourier Sine Transform Method (GFSTM), in conjunction with a modified Asymptotic Method of Struble (AMS) and the Differential Transform Method (DTM). The GFSTM was employed in the first instance to transform the set of partial differential equations of order four governing the motions of the structural members into a sequence of coupled second order ordinary differential equations. The transformed coupled ordinary differential equations was further simplified using AMS. The differential transform method was finally applied to obtain a mathematical expressions representing the coordinates in modal space. Thus, an approximate analytical solutions representing the displacement amplitude of the double-beam system under the action of the traversing load was obtained for the moving force and moving mass models respectively. Analysis of the approximate analytical solutions was presented. Various results were discussed and displayed in plotted curves. Effects of some vital load and structural parameters on the response characteristics of the beam-load system were examined and presented. Conditions under which the systems experiences resonance phenomenon were established and reported.</div></div>","PeriodicalId":93433,"journal":{"name":"Forces in mechanics","volume":"19 ","pages":"Article 100307"},"PeriodicalIF":3.2,"publicationDate":"2025-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143422105","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Enhancing repair of cracked plate using fiber-reinforced composite patch: Experimental and simulation analysis 纤维增强复合材料补片增强裂纹板修复:实验与仿真分析
IF 3.2 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-02-01 DOI: 10.1016/j.finmec.2024.100302
Abdul Aabid , Muhammad Nur Syafiq Bin Rosli , Meftah Hrairi , Muneer Baig
In this study, a fiber-reinforced composite patch was bonded to one side of a cracked aluminum plate using Araldite-2014 adhesive. Experimental tensile tests were conducted on both repaired and unrepaired plates, with further analysis of the effects of patch material and dimensions performed using ANSYS simulations. The effectiveness of the patch repair was evaluated through the stress intensity factor (SIF), as obtained from both experimental and finite element methods. To optimize patch parameters—such as material, thickness, width, and height design of experiments (DOE) approach was applied. Results indicate that the use of fiber-reinforced composite patches is an effective technique for repairing cracked aluminum structures, as it significantly reduces SIF. The findings suggest that repair efficiency can be further enhanced by carefully considering key factors such as patch dimensions, adhesive thickness, and crack length.
在本研究中,使用araltite -2014粘合剂将纤维增强复合材料贴片粘接在开裂铝板的一侧。对修复板和未修复板进行了实验拉伸试验,并利用ANSYS仿真进一步分析了贴片材料和尺寸的影响。通过应力强度因子(SIF)来评估补丁修复的有效性,这是由实验和有限元方法获得的。为了优化贴片的材料、厚度、宽度和高度等参数,采用实验设计(DOE)方法。结果表明,使用纤维增强复合材料修补是一种有效的修复铝结构裂纹的技术,可以显著降低SIF。研究结果表明,通过仔细考虑补丁尺寸、胶粘剂厚度和裂缝长度等关键因素,可以进一步提高修复效率。
{"title":"Enhancing repair of cracked plate using fiber-reinforced composite patch: Experimental and simulation analysis","authors":"Abdul Aabid ,&nbsp;Muhammad Nur Syafiq Bin Rosli ,&nbsp;Meftah Hrairi ,&nbsp;Muneer Baig","doi":"10.1016/j.finmec.2024.100302","DOIUrl":"10.1016/j.finmec.2024.100302","url":null,"abstract":"<div><div>In this study, a fiber-reinforced composite patch was bonded to one side of a cracked aluminum plate using Araldite-2014 adhesive. Experimental tensile tests were conducted on both repaired and unrepaired plates, with further analysis of the effects of patch material and dimensions performed using ANSYS simulations. The effectiveness of the patch repair was evaluated through the stress intensity factor (SIF), as obtained from both experimental and finite element methods. To optimize patch parameters—such as material, thickness, width, and height design of experiments (DOE) approach was applied. Results indicate that the use of fiber-reinforced composite patches is an effective technique for repairing cracked aluminum structures, as it significantly reduces SIF. The findings suggest that repair efficiency can be further enhanced by carefully considering key factors such as patch dimensions, adhesive thickness, and crack length.</div></div>","PeriodicalId":93433,"journal":{"name":"Forces in mechanics","volume":"18 ","pages":"Article 100302"},"PeriodicalIF":3.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143129661","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The effect of non-singular term (T-stress) on mode I/III cracking parameters of brittle materials, Numerical and experimental study using different beam and disc shape specimens made of marble rock 非奇异项(t应力)对脆性材料I/III型开裂参数的影响,采用大理岩不同梁形和盘形试样进行数值和试验研究
IF 3.2 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-02-01 DOI: 10.1016/j.finmec.2024.100303
Amir Mousavi , M.R.M. Aliha , Hadi Khoramishad , Hamid Reza Karimi
This study focuses on less-studied mode I/III fracture cracking behaviour. Seven specimens (ENDC, DNDC, SCB, ENDB, ATPB, TPB-IC, and SENB) were analyzed numerically and experimentally. Results show in pure mode-I, the specimens show identical KIc values (1.22 to 1.54 MPa√m). Especially if the KIc was measured by compressive specimens (ENDC and DNDC with KIc of 1.22 and 1.30 MPa√m, respectively) and was neglected. In these cases, the difference in measured KIc values directly relates to the T-stress value in pure mode-I. So, higher T-stress values increase the KIc and vice versa. In pure mode-III, which can only simulated by ENDB, ENDC, and DNDC specimens, the difference in measured KIIIc values was enormous, as 0.99 MPa√m for ENDB, 2.0 MPa√m for ENDC and 2.53 MPa√m for DNDC. Comparing the trend of KIIIc for specimens shows the same as KIc, KIIIc also has a direct relation with the T-stress. The affectability of fracture toughness from T-stress shows the importance of accounting for it in calculations. The trends show that the ENDB, ENDC, and DNDC specimens have considerably negative T-stress values, with different trends. Moving from pure mode-I to pure mode-III, the ENDB has a low-negative T-stress that becomes high-negative (about -0.32 to -2.5 MPa). Meanwhile, of DNDC, it is the opposite; the T-stress is high-negative for pure mode-I and becomes low-negative for pure mode-III (about -2.54 to -0.77 MPa). For ENDC, the T-stress is almost constant moderate-negative in all the mixed mode I/III conditions (about -2.1 MPa).
这项研究的重点是研究较少的I/III型断裂开裂行为。对7种样品(ENDC、DNDC、SCB、ENDB、ATPB、TPB-IC和SENB)进行了数值和实验分析。结果表明,纯i型试样的KIc值相同(1.22 ~ 1.54 MPa / m)。特别是当KIc是通过压缩试样测量时(ENDC和DNDC的KIc分别为1.22和1.30 MPa / m),而忽略了KIc。在这些情况下,测量到的KIc值的差异与纯模式i下的t应力值直接相关。因此,较高的t应力值会增加KIc,反之亦然。在仅能通过ENDB、ENDC和DNDC试件模拟的纯模式iii中,测量到的KIIIc值差异巨大,ENDB为0.99 MPa√m, ENDC为2.0 MPa√m, DNDC为2.53 MPa√m。对比试件KIIIc的变化趋势与KIc相同,KIIIc与t应力也有直接关系。t应力对断裂韧性的影响表明了在计算中考虑这一影响的重要性。趋势表明,ENDB、ENDC和DNDC试件的t应力值均为负,但趋势不同。从纯模式i到纯模式iii, ENDB具有低负t应力,变为高负t应力(约为-0.32至-2.5 MPa)。与此同时,对于ddc,情况正好相反;纯模式i的t应力为高负,纯模式iii的t应力为低负(约为-2.54 ~ -0.77 MPa)。对于ENDC,在所有I/III混合模式条件下,t应力几乎恒定为中负(约为-2.1 MPa)。
{"title":"The effect of non-singular term (T-stress) on mode I/III cracking parameters of brittle materials, Numerical and experimental study using different beam and disc shape specimens made of marble rock","authors":"Amir Mousavi ,&nbsp;M.R.M. Aliha ,&nbsp;Hadi Khoramishad ,&nbsp;Hamid Reza Karimi","doi":"10.1016/j.finmec.2024.100303","DOIUrl":"10.1016/j.finmec.2024.100303","url":null,"abstract":"<div><div>This study focuses on less-studied mode I/III fracture cracking behaviour. Seven specimens (ENDC, DNDC, SCB, ENDB, ATPB, TPB-IC, and SENB) were analyzed numerically and experimentally. Results show in pure mode-I, the specimens show identical <em>K</em><sub>Ic</sub> values (1.22 to 1.54 MPa√m). Especially if the <em>K</em><sub>Ic</sub> was measured by compressive specimens (ENDC and DNDC with <em>K</em><sub>Ic</sub> of 1.22 and 1.30 MPa√m, respectively) and was neglected. In these cases, the difference in measured <em>K</em><sub>Ic</sub> values directly relates to the <em>T</em>-stress value in pure mode-I. So, higher T-stress values increase the <em>K</em><sub>Ic</sub> and vice versa. In pure mode-III, which can only simulated by ENDB, ENDC, and DNDC specimens, the difference in measured <em>K</em><sub>IIIc</sub> values was enormous, as 0.99 MPa√m for ENDB, 2.0 MPa√m for ENDC and 2.53 MPa√m for DNDC. Comparing the trend of <em>K</em><sub>IIIc</sub> for specimens shows the same as <em>K</em><sub>Ic</sub>, <em>K</em><sub>IIIc</sub> also has a direct relation with the T-stress. The affectability of fracture toughness from <em>T</em>-stress shows the importance of accounting for it in calculations. The trends show that the ENDB, ENDC, and DNDC specimens have considerably negative <em>T</em>-stress values, with different trends. Moving from pure mode-I to pure mode-III, the ENDB has a low-negative T-stress that becomes high-negative (about -0.32 to -2.5 MPa). Meanwhile, of DNDC, it is the opposite; the T-stress is high-negative for pure mode-I and becomes low-negative for pure mode-III (about -2.54 to -0.77 MPa). For ENDC, the <em>T</em>-stress is almost constant moderate-negative in all the mixed mode I/III conditions (about -2.1 MPa).</div></div>","PeriodicalId":93433,"journal":{"name":"Forces in mechanics","volume":"18 ","pages":"Article 100303"},"PeriodicalIF":3.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143129663","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamics of nonlocal stress-driven Rayleigh Beam 非局部应力驱动瑞利梁动力学
IF 3.2 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-02-01 DOI: 10.1016/j.finmec.2024.100299
D. Indronil
This paper presents a novel investigation of the dynamic behavior of Rayleigh nanobeams using a nonlocal stress-driven differential elasticity model, extending the foundational work of Barretta. Unlike previous studies that exclusively employed the Euler-Bernoulli beam theory and neglected rotary inertia, this work is the first to incorporate the rotary inertia term within the stress-driven nonlocal framework, providing a more accurate and comprehensive analysis of nanoscale beam dynamics. The equilibrium equations are derived using a variational approach and solved analytically via the Laplace transform technique, yielding closed-form expressions for the natural frequencies of nanobeams under various boundary conditions, including simply supported, clamped, and cantilevered configurations. The results demonstrate that nonlocal stress effects significantly increase the natural frequencies, particularly in higher vibrational modes, where sensitivity to size-dependent interactions is most pronounced. These findings highlight the inadequacy of classical elasticity models and the necessity of accounting for nonlocal and rotary inertia in dynamic analyses. The proposed model shows excellent agreement with existing literature, validating its robustness and offering valuable insights for designing and optimizing nanoscale devices such as MEMS, NEMS, and nanocomposites. This study sets a new benchmark in nonlocal elasticity by addressing rotary inertia, paving the way for more refined studies of nanoscale dynamics.
本文利用非局部应力驱动的微分弹性模型对瑞利纳米梁的动力行为进行了新的研究,扩展了Barretta的基础工作。与以往只使用欧拉-伯努利梁理论而忽略转动惯量的研究不同,这项工作首次将转动惯量项纳入应力驱动的非局部框架中,为纳米尺度梁动力学提供了更准确和全面的分析。利用变分方法推导了平衡方程,并通过拉普拉斯变换技术进行了解析求解,得到了不同边界条件下纳米梁的固有频率的封闭表达式,包括简支、夹紧和悬臂结构。结果表明,非局部应力效应显著增加了固有频率,特别是在高振动模式下,对尺寸依赖相互作用的敏感性最为明显。这些发现突出了经典弹性模型的不足,以及在动力分析中考虑非局部和旋转惯性的必要性。所提出的模型与现有文献非常吻合,验证了其稳健性,并为MEMS、NEMS和纳米复合材料等纳米级器件的设计和优化提供了有价值的见解。这项研究通过解决旋转惯性,为非局部弹性设定了新的基准,为更精细的纳米尺度动力学研究铺平了道路。
{"title":"Dynamics of nonlocal stress-driven Rayleigh Beam","authors":"D. Indronil","doi":"10.1016/j.finmec.2024.100299","DOIUrl":"10.1016/j.finmec.2024.100299","url":null,"abstract":"<div><div>This paper presents a novel investigation of the dynamic behavior of Rayleigh nanobeams using a nonlocal stress-driven differential elasticity model, extending the foundational work of Barretta. Unlike previous studies that exclusively employed the Euler-Bernoulli beam theory and neglected rotary inertia, this work is the first to incorporate the rotary inertia term within the stress-driven nonlocal framework, providing a more accurate and comprehensive analysis of nanoscale beam dynamics. The equilibrium equations are derived using a variational approach and solved analytically via the Laplace transform technique, yielding closed-form expressions for the natural frequencies of nanobeams under various boundary conditions, including simply supported, clamped, and cantilevered configurations. The results demonstrate that nonlocal stress effects significantly increase the natural frequencies, particularly in higher vibrational modes, where sensitivity to size-dependent interactions is most pronounced. These findings highlight the inadequacy of classical elasticity models and the necessity of accounting for nonlocal and rotary inertia in dynamic analyses. The proposed model shows excellent agreement with existing literature, validating its robustness and offering valuable insights for designing and optimizing nanoscale devices such as MEMS, NEMS, and nanocomposites. This study sets a new benchmark in nonlocal elasticity by addressing rotary inertia, paving the way for more refined studies of nanoscale dynamics.</div></div>","PeriodicalId":93433,"journal":{"name":"Forces in mechanics","volume":"18 ","pages":"Article 100299"},"PeriodicalIF":3.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143129660","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An analytical solution for the evaluation of residual stresses in coiling of metal sheets 金属卷取过程中残余应力评估的解析解
IF 3.2 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-02-01 DOI: 10.1016/j.finmec.2025.100305
D.P. Yesane , R.S. Hingole , R.V. Bhortake
The coiling process is widely used in the manufacturing industry for the compact storage and transportation of metal sheets. However, this process can induce residual stress in the material, which significantly affects the mechanical properties and performance of the final product. This paper presents a closed-form analytical solution for predicting residual stresses in steel sheets resulting from coiling before cold forming into sections. The study models the coiling process as an elastic-plastic plane-strain pure-bending problem, assuming that the steel obeys the Von Mises yield criterion and the Prandtl-Reuss flow rule. This paper explores the impact of coiling radius and steel yield stress on residual stresses, emphasizing the nonlinear variations in residual stresses across the thickness of steel sheets. The analytical predictions of residual stress were experimentally validated using X-ray diffraction, demonstrating close agreement with the finite element analysis (FEA) results. The impact of coiling radius and yield stress on the final residual stresses was also examined. The developed analytical method provides solutions for developed residual stresses during the coiling of metal sheets with higher accuracy, zero cost, and less time-consuming than current available experimental methods for measuring residual stresses.
卷取工艺在制造业中广泛应用于金属薄板的紧凑储存和运输。然而,这一过程会在材料中产生残余应力,从而显著影响最终产品的力学性能和性能。本文提出了一种预测钢板冷成形前卷取残余应力的封闭解析解。假设钢服从Von Mises屈服准则和Prandtl-Reuss流动准则,将卷取过程建模为弹塑性平面应变纯弯曲问题。本文探讨了卷取半径和钢材屈服应力对残余应力的影响,强调了残余应力在钢板厚度上的非线性变化。利用x射线衍射实验验证了残余应力的分析预测,证明了与有限元分析(FEA)结果的密切一致性。研究了卷取半径和屈服应力对最终残余应力的影响。与现有的残余应力测量实验方法相比,所开发的分析方法具有更高的精度、零成本和更短的时间,为金属板卷取过程中产生的残余应力提供了解决方案。
{"title":"An analytical solution for the evaluation of residual stresses in coiling of metal sheets","authors":"D.P. Yesane ,&nbsp;R.S. Hingole ,&nbsp;R.V. Bhortake","doi":"10.1016/j.finmec.2025.100305","DOIUrl":"10.1016/j.finmec.2025.100305","url":null,"abstract":"<div><div>The coiling process is widely used in the manufacturing industry for the compact storage and transportation of metal sheets. However, this process can induce residual stress in the material, which significantly affects the mechanical properties and performance of the final product. This paper presents a closed-form analytical solution for predicting residual stresses in steel sheets resulting from coiling before cold forming into sections. The study models the coiling process as an elastic-plastic plane-strain pure-bending problem, assuming that the steel obeys the Von Mises yield criterion and the Prandtl-Reuss flow rule. This paper explores the impact of coiling radius and steel yield stress on residual stresses, emphasizing the nonlinear variations in residual stresses across the thickness of steel sheets. The analytical predictions of residual stress were experimentally validated using X-ray diffraction, demonstrating close agreement with the finite element analysis (FEA) results. The impact of coiling radius and yield stress on the final residual stresses was also examined. The developed analytical method provides solutions for developed residual stresses during the coiling of metal sheets with higher accuracy, zero cost, and less time-consuming than current available experimental methods for measuring residual stresses.</div></div>","PeriodicalId":93433,"journal":{"name":"Forces in mechanics","volume":"18 ","pages":"Article 100305"},"PeriodicalIF":3.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143129803","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Residual stresses in 4D printed structures: A review on causes, effects, measurements, mitigations and its applications 在4D打印结构的残余应力:对原因,影响,测量,缓解及其应用的审查
IF 3.2 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-02-01 DOI: 10.1016/j.finmec.2024.100304
Chandramohan Abhishek, Nadimpalli Raghukiran
3D printing of stimulus responsive materials or smart materials are referred to as 4D printing. The ability of these materials to change their shape or properties over time is considered the fourth dimension. 4D printed parts possess residual stress just as any other manufactured object. Residual stress is that which remains in an object despite the absence of a load. It may develop during the printing process, or post printing. This paper presents an original review on the causes, adverse effects, measurement techniques, and mitigation of residual stresses in 4D printing. A simple sequence for checking the adverse effects of residual stress on 4D printed parts, and applying mitigation techniques is proposed. Building on the review, discussions on original results from design strategy, experimentation, characterization, and finite element analysis were presented. The applications of residual stress mitigation, and the prospects of this work are also discussed.
刺激响应材料或智能材料的3D打印称为4D打印。这些材料随时间改变其形状或特性的能力被认为是第四个维度。4D打印部件具有残余应力,就像任何其他制造对象。残余应力是物体在没有载荷的情况下仍然存在的应力。它可能在印刷过程中或印刷后形成。本文提出了对原因,不利影响,测量技术,并缓解残余应力在4D打印的原始审查。提出了一种简单的序列,用于检查残余应力对4D打印部件的不利影响,并应用缓解技术。在回顾的基础上,讨论了设计策略、实验、表征和有限元分析的原始结果。最后讨论了残余应力消除技术的应用,并对今后的研究工作进行了展望。
{"title":"Residual stresses in 4D printed structures: A review on causes, effects, measurements, mitigations and its applications","authors":"Chandramohan Abhishek,&nbsp;Nadimpalli Raghukiran","doi":"10.1016/j.finmec.2024.100304","DOIUrl":"10.1016/j.finmec.2024.100304","url":null,"abstract":"<div><div>3D printing of stimulus responsive materials or smart materials are referred to as 4D printing. The ability of these materials to change their shape or properties over time is considered the fourth dimension. 4D printed parts possess residual stress just as any other manufactured object. Residual stress is that which remains in an object despite the absence of a load. It may develop during the printing process, or post printing. This paper presents an original review on the causes, adverse effects, measurement techniques, and mitigation of residual stresses in 4D printing. A simple sequence for checking the adverse effects of residual stress on 4D printed parts, and applying mitigation techniques is proposed. Building on the review, discussions on original results from design strategy, experimentation, characterization, and finite element analysis were presented. The applications of residual stress mitigation, and the prospects of this work are also discussed.</div></div>","PeriodicalId":93433,"journal":{"name":"Forces in mechanics","volume":"18 ","pages":"Article 100304"},"PeriodicalIF":3.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143129662","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Residual stresses in cold-formed steel sections: An overview of influences and measurement techniques 冷弯型钢截面的残余应力:影响和测量技术概述
IF 3.2 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-02-01 DOI: 10.1016/j.finmec.2025.100306
Ayad Mutafi , J.M. Irwan , Noorfaizal Yidris , Abdullah Faisal Alshalif , Yazid Saif , Hamdi Abdulrahman , Ala Mutaafi , Yasser Yahya Al-Ashmori , Mugahed Amran , Nelson Maureira-Carsalade , Siva Avudaiappan
Cold-formed steel (CFS) members offer significant advantages over hot-rolled sections, primarily due to their high strength-to-weight ratio and versatility in forming various cross-sectional shapes. These attributes make CFS an efficient choice for design and construction. This paper reviews current design methods for CFS, focusing on the impact of initial imperfections. It also examines various techniques for measuring residual stress in CFS sections, including analytical, experimental, and numerical approaches. The study concludes that while analytical methods are effective, they become complex when accounting for material anisotropy. Laboratory techniques provide reliable measurements but are limited in detecting through-thickness residual stresses. Numerical approaches offer comprehensive insights but require further validation across different material and geometric configurations. The paper highlights the need for advanced analytical models, improved laboratory methods, and expanded numerical techniques to address existing knowledge gaps in residual stress assessment for CFS structures.
冷弯型钢(CFS)成员与热轧型钢相比具有显著的优势,主要是由于其高强度重量比和形成各种截面形状的通用性。这些特性使CFS成为设计和施工的有效选择。本文综述了现有的CFS设计方法,重点讨论了初始缺陷的影响。它还检查了各种技术测量残余应力在CFS部分,包括分析,实验和数值方法。该研究得出结论,虽然分析方法是有效的,但在考虑材料各向异性时,它们变得复杂。实验室技术提供了可靠的测量,但在检测厚度残余应力方面受到限制。数值方法提供了全面的见解,但需要进一步验证不同的材料和几何结构。本文强调需要先进的分析模型、改进的实验室方法和扩展的数值技术来解决现有的CFS结构残余应力评估的知识空白。
{"title":"Residual stresses in cold-formed steel sections: An overview of influences and measurement techniques","authors":"Ayad Mutafi ,&nbsp;J.M. Irwan ,&nbsp;Noorfaizal Yidris ,&nbsp;Abdullah Faisal Alshalif ,&nbsp;Yazid Saif ,&nbsp;Hamdi Abdulrahman ,&nbsp;Ala Mutaafi ,&nbsp;Yasser Yahya Al-Ashmori ,&nbsp;Mugahed Amran ,&nbsp;Nelson Maureira-Carsalade ,&nbsp;Siva Avudaiappan","doi":"10.1016/j.finmec.2025.100306","DOIUrl":"10.1016/j.finmec.2025.100306","url":null,"abstract":"<div><div>Cold-formed steel (CFS) members offer significant advantages over hot-rolled sections, primarily due to their high strength-to-weight ratio and versatility in forming various cross-sectional shapes. These attributes make CFS an efficient choice for design and construction. This paper reviews current design methods for CFS, focusing on the impact of initial imperfections. It also examines various techniques for measuring residual stress in CFS sections, including analytical, experimental, and numerical approaches. The study concludes that while analytical methods are effective, they become complex when accounting for material anisotropy. Laboratory techniques provide reliable measurements but are limited in detecting through-thickness residual stresses. Numerical approaches offer comprehensive insights but require further validation across different material and geometric configurations. The paper highlights the need for advanced analytical models, improved laboratory methods, and expanded numerical techniques to address existing knowledge gaps in residual stress assessment for CFS structures.</div></div>","PeriodicalId":93433,"journal":{"name":"Forces in mechanics","volume":"18 ","pages":"Article 100306"},"PeriodicalIF":3.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143129659","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Modified CEL method for determination of defect formation mechanism in underwater stationary shoulder FSW based on softened pressure-overclosure contact relationship 基于软化压力-过闭接触关系的水下静肩FSW缺陷形成机理的改进CEL方法
IF 3.2 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-12-01 DOI: 10.1016/j.finmec.2024.100296
Akbar Hosseini, Alireza Fallahi Arezoudar
The Coupled Eulerian-Lagrangian (CEL) method was employed to simulate underwater friction stir welding with a stationary shoulder tool (USSFSW). The governing equations in the CEL method were formulated for FSW based on the immersed boundary method. A new softened pressure-overclosure model was introduced to define contact pressure within the overclosure zone, and an initial nodal clearance control method was implemented to prevent the penetration of Eulerian elements into the Lagrangian domain. For modeling the mechanical and thermal interactions between surfaces, the VUINTERACTION subroutine was utilized. The study focused on the defect formation mechanisms during USSFSW, highlighting the roles of material flow velocity and nodal forces. Simulation results demonstrated close alignment with experimental data, revealing three flow paths that developed during the process, merging in the empty area behind the pin and generating upward material flow. Notably, the maximum flow velocity at the boundary of the third and fourth quadrants ranged from 0.189 to 0.495 m/s, while the overall maximum material flow velocity varied from 0.193 to 0.502 m/s. The nodal force was found to vary between 180 and 600 N; notably, when this force dropped below 200 N, the driving force for material flow decreased, resulting in the inability to fill the cavity behind the tool. Conversely, increasing the nodal force enhanced both backward flow (BF) and horizontal flow (HF), promoting higher material extrusion into the cavity. ​Ultimately, when the flow velocity fell below approximately 0.25 mm/s and the nodal force dropped below about 200 N, cavity defects in USSFSW became inevitable.
采用耦合欧拉-拉格朗日(CEL)方法对静肩工具水下搅拌摩擦焊接进行了数值模拟。基于浸入边界法,建立了等效等效等效法的控制方程。引入了一种新的软化压力-过闭模型来定义过闭区内的接触压力,并采用初始节点间隙控制方法来防止欧拉单元渗透到拉格朗日域。为了模拟表面之间的力学和热相互作用,使用了VUINTERACTION子程序。重点研究了USSFSW过程中缺陷的形成机制,强调了材料流速和节点力的作用。模拟结果与实验数据非常接近,揭示了在过程中形成的三条流动路径,在引脚后面的空白区域合并并产生向上的物质流。值得注意的是,第三和第四象限边界处的最大流速范围为0.189 ~ 0.495 m/s,而整体最大物料流速范围为0.193 ~ 0.502 m/s。节点力在180 ~ 600牛之间变化;值得注意的是,当该力低于200 N时,物料流动的驱动力减小,导致无法填充工具后面的空腔。相反,增加节点力会增强回流(BF)和水平流动(HF),促进更高的材料挤压入腔。最终,当流速降至0.25 mm/s左右,节点力降至200 N左右时,USSFSW的空腔缺陷不可避免。
{"title":"Modified CEL method for determination of defect formation mechanism in underwater stationary shoulder FSW based on softened pressure-overclosure contact relationship","authors":"Akbar Hosseini,&nbsp;Alireza Fallahi Arezoudar","doi":"10.1016/j.finmec.2024.100296","DOIUrl":"10.1016/j.finmec.2024.100296","url":null,"abstract":"<div><div>The Coupled Eulerian-Lagrangian (CEL) method was employed to simulate underwater friction stir welding with a stationary shoulder tool (USSFSW). The governing equations in the CEL method were formulated for FSW based on the immersed boundary method. A new softened pressure-overclosure model was introduced to define contact pressure within the overclosure zone, and an initial nodal clearance control method was implemented to prevent the penetration of Eulerian elements into the Lagrangian domain. For modeling the mechanical and thermal interactions between surfaces, the VUINTERACTION subroutine was utilized. The study focused on the defect formation mechanisms during USSFSW, highlighting the roles of material flow velocity and nodal forces. Simulation results demonstrated close alignment with experimental data, revealing three flow paths that developed during the process, merging in the empty area behind the pin and generating upward material flow. Notably, the maximum flow velocity at the boundary of the third and fourth quadrants ranged from 0.189 to 0.495 m/s, while the overall maximum material flow velocity varied from 0.193 to 0.502 m/s. The nodal force was found to vary between 180 and 600 N; notably, when this force dropped below 200 N, the driving force for material flow decreased, resulting in the inability to fill the cavity behind the tool. Conversely, increasing the nodal force enhanced both backward flow (BF) and horizontal flow (HF), promoting higher material extrusion into the cavity. ​Ultimately, when the flow velocity fell below approximately 0.25 mm/s and the nodal force dropped below about 200 N, cavity defects in USSFSW became inevitable.</div></div>","PeriodicalId":93433,"journal":{"name":"Forces in mechanics","volume":"17 ","pages":"Article 100296"},"PeriodicalIF":3.2,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143134917","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
期刊
Forces in mechanics
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:604180095
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