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Partial and Lamb waves in non-local elasticity with kernel modification 带核修正的非局部弹性中的部分波和兰姆波
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2025-12-16 DOI: 10.1016/j.euromechsol.2025.106003
Dipendu Pramanik , Andrea Nobili , Santanu Manna
We study dispersion of Rayleigh–Lamb (R-L) waves in an infinite isotropic strip within the theory of non-local elasticity with kernel modification. Within this approach, the set of constitutive boundary conditions (CBCs) embedded in the attenuation functions contain the set of natural boundary conditions (BCs) of the problem and this feature, besides avoiding nonphysical BCs, warrants that the problem is well-posed. We show that, in contrast to local elasticity, the dispersion equation emerges from imposing the equations of motion, given that the BCs are automatically satisfied by the very choice of the attenuation functions. Similarly to local elasticity, the problem naturally decouples into symmetric and anti-symmetric partial modes, although this feature is not obvious here and crucially depends on certain symmetry properties of the kernels. We prove that symmetric and anti-symmetric kernels may be constructed directly, to avoid solving the full problem, and we show how these kernels relate to the original. Explicit dispersion relations for symmetric and anti-symmetric partial waves are obtained, that reveal the size-dependent deviation from the classical predictions. Overall, results reproduce the general features already observed in local elasticity, such as the convergence of the fundamental modes to the Rayleigh speed and of the higher modes to the bulk wave speeds, although these are no longer constants. Yet, both fundamental modes, and especially the symmetric one, significantly depart from the local theory, which fact has important consequences on the corresponding asymptotic model for non-local beams.
利用核修正的非局部弹性理论,研究了瑞利-兰姆波在无限各向同性带中的色散。在这种方法中,嵌入在衰减函数中的本构边界条件(cbc)集包含了问题的自然边界条件(BCs)集,这一特征除了避免了非物理边界条件外,还保证了问题是适定的。我们表明,与局部弹性相反,色散方程来自施加运动方程,假设衰减函数的选择自动满足bc。与局部弹性类似,问题自然解耦为对称和反对称部分模式,尽管这个特征在这里并不明显,而且关键取决于核的某些对称性。我们证明了可以直接构造对称和反对称核,以避免解决完整的问题,并且我们展示了这些核与原始核的关系。得到了对称和反对称部分波的显式色散关系,揭示了与经典预测的尺寸相关的偏差。总的来说,结果再现了在局部弹性中已经观察到的一般特征,例如基模态收敛于瑞利速度,高模态收敛于体波速度,尽管这些不再是常数。然而,两种基本模,特别是对称模,都明显偏离局部理论,这一事实对相应的非局部光束渐近模型有重要影响。
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引用次数: 0
Vibration and stability of two-phase peridynamic Euler-Bernoulli beams under general boundary conditions - Exact and numerical approaches 两相欧拉-伯努利梁在一般边界条件下的振动和稳定性。精确和数值方法
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2025-12-15 DOI: 10.1016/j.euromechsol.2025.105993
Noël Challamel , Ahmad Aftabi-Sani
This paper is devoted to the free vibration and buckling analyses of two-phase peridynamic Euler-Bernoulli beams under general boundary conditions. The kernel of the integral peridynamic formulation is chosen in an exponential form, normalized along the finite beam domain. The integro-differential eigenvalue problems (free vibration or buckling analyses in presence of axial load) can be reformulated as a linear sixth-order differential eigenvalue problem associated to six boundary conditions, namely four classical boundary conditions and two additional constitutive peridynamic boundary conditions. These two additional boundary conditions express the local behaviour of the two-phase peridynamic law at the boundaries. Eigen-frequencies and buckling loads are calculated for simply supported, clamped-free, clamped-clamped and clamped-hinge boundary conditions. The transcendental equations for the eigen-frequencies or the buckling loads are explicitly derived for each considered boundary condition. Numerical results obtained by this analytical method are confirmed by two complementary numerical methods, one based on the Rayleigh quotient of the continuous peridynamic problem, and another based on the discretization of the two-phase peridynamic governing equations, through a FDM quadrature approximation. The variational iterative method of Stodola-Vianello is successfully applied to the two-phase peridynamic eigenvalue problems. The paper discusses the order of convergence of each scheme, which depends on the considered adopted numerical method. Finally, the vibration and buckling problems of multi-segmented peridynamic beam and column are analytically and numerically solved, including the connection between a peridynamic segment with a local one.
本文研究了两相欧拉-伯努利梁在一般边界条件下的自由振动和屈曲分析。积分周动力公式的核以指数形式选择,沿有限梁域归一化。积分-微分特征值问题(轴向载荷下的自由振动或屈曲分析)可以重新表述为与六个边界条件相关的线性六阶微分特征值问题,即四个经典边界条件和两个附加的本构周动力边界条件。这两个附加的边界条件表示了两相周动力律在边界处的局部行为。计算了简支、无夹紧、夹紧-夹紧和夹紧-铰链边界条件下的本征频率和屈曲载荷。对于每个考虑的边界条件,明确地导出了本征频率或屈曲载荷的超越方程。通过两种互补的数值方法,一种是基于连续周期动力学问题的瑞利商,另一种是基于两相周期动力学控制方程的离散化,通过FDM正交逼近,证实了该解析方法的数值结果。将Stodola-Vianello变分迭代方法成功地应用于两相环动力特征值问题。讨论了各方案的收敛阶数,其收敛阶数取决于所考虑采用的数值方法。最后,对多节段环动力梁柱的振动和屈曲问题进行了解析和数值求解,包括环动力节段与局部节段的连接问题。
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引用次数: 0
Effect of solution temperature on mechanical properties and wrinkle resistance of 2219 aluminum alloy 固溶温度对2219铝合金力学性能和抗皱性能的影响
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2025-12-12 DOI: 10.1016/j.euromechsol.2025.105997
Hailong Cui , Bing DU , Chaoyang Huang , Fenghua Liu , Lei Fu , LiJun Wu
The 2219 aluminum alloy has been extensively utilized in aerospace and automotive industries due to its superior mechanical properties. In these fields, parts are mainly manufactured by cold forming first, then quenching and aging. However, the high-performance manufacturing process of quenching-forming-aging developed in recent years has shown significant advantages in avoiding quenching deformation and improving mechanical properties of parts. Nevertheless, the wrinkling phenomena persist during the forming of thin-walled components. Given this, in this study, the relationship between microstructure, mechanical properties evolution, and wrinkling behavior of 2219 aluminum alloy sheets at different solution temperatures was systematically revealed by combining microstructure characterization with macroscopic numerical simulation. A verifiable mapping relationship was established between them. Key findings include: (1) Elevated solution temperature simultaneously enhances yield strength, tensile strength, and elongation while reducing the in-plane anisotropy index; (2) Higher solution temperature promotes the growth and homogeneous distribution of recrystallized grains, modifying texture components through increased Cube texture and decreased Brass/S texture fractions; (3) Increased solution temperature degrades wrinkle resistance, strongly correlated with yield strength variations. Specifically, reducing yield stress in the 45° direction while increasing it in 0° and 90° directions improves wrinkle resistance. (4) The presence of S and Brass textures helps to improve the material wrinkle resistance. The existence of Cube textures makes the material properties tend to be consistent, which is not conducive to improving the material wrinkle resistance to a certain extent. These results confirm that solution temperature optimization critically governs both mechanical properties and wrinkle resistance of 2219 aluminum alloy. This research provides valuable insights for optimizing manufacturing processes of thin-walled aluminum alloy components in industrial applications.
2219铝合金由于其优越的机械性能,在航空航天和汽车工业中得到了广泛的应用。在这些领域中,零件的制造主要是先冷成形,然后淬火和时效。然而,近年来发展起来的淬火-成形-时效高性能制造工艺在避免淬火变形和提高零件力学性能方面表现出了显著的优势。然而,在薄壁件成形过程中,起皱现象仍然存在。鉴于此,本研究采用微观组织表征与宏观数值模拟相结合的方法,系统揭示了2219铝合金薄板在不同固溶温度下的微观组织、力学性能演变与起皱行为之间的关系。在它们之间建立了可验证的映射关系。主要发现包括:(1)提高溶液温度可以提高屈服强度、抗拉强度和延伸率,同时降低面内各向异性指数;(2)较高的固溶温度促进了再结晶晶粒的生长和均匀分布,通过增加Cube织构和降低Brass/S织构来改变织构成分;(3)溶液温度升高会降低抗皱性,且与屈服强度变化密切相关。在45°方向上减小屈服应力,在0°和90°方向上增大屈服应力,可以提高抗皱性。(4) S和黄铜纹理的存在有助于提高材料的抗皱性。立方体织构的存在使材料性能趋于一致,在一定程度上不利于提高材料的抗皱性。结果表明,溶液温度优化对2219铝合金的力学性能和抗皱性能都有重要影响。该研究为工业应用中薄壁铝合金部件的制造工艺优化提供了有价值的见解。
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引用次数: 0
Accuracy-enhanced modeling of 2024 aluminium alloy in electrically-assisted forming based on direct through-thickness strain measurement 基于直接贯穿厚度应变测量的2024铝合金电辅助成形精度增强建模
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2025-12-11 DOI: 10.1016/j.euromechsol.2025.105996
Kaiyu Zhu , Hang Yuan , Xiaojie Hu , Hongrui Dong , Xiaoqiang Li , Bing Pan
Electrically-assisted forming enhances the formability of aluminum alloys while maintaining post-forming mechanical properties. However, the multi-physics coupling loading in electrically-assisted forming poses challenges for modeling the anisotropic behavior of aluminum alloy. Conventional associated flow rules typically require complex high-order yield models and customized tooling. In contrast, the non-associated flow rule combined with low-order models has demonstrated comparable accuracy with significantly reduced complexity. Encouraged by its successful application in room-temperature forming, this work proposes integrating the non-associated flow rule with the classical low-order Hill48 yield model and adopting the Grosman hardening model to characterize the anisotropic behavior of 2024-O aluminum alloy under electrically-assisted forming. Both models require accurate determinations of through-thickness strain (εzz). Conventional indirect methods often rely on experimentally measured in-plane strain and constant volume assumptions that are unreliable in electrically-assisted forming. To address this challenge, the recently developed mirror-assisted MV-DIC (multi-view digital image correlation) technique was adopted for direct measurement of εzz and parameter calibration, which eliminates the reliance on volume conservation assumptions. Electrically-assisted uniaxial tensile tests and anisotropic constitutive modeling were conducted on specimens under five distinct loading conditions. Directly and indirectly measured plastic potential function parameters revealed average relative differences of 6.2 %–14.6 %. The effects of temperature and strain rate on both model parameters and deformation behaviors were also investigated. The experimental and simulation results of shear specimens validated the accuracy of the established model and the superiority of the proposed parameter calibration method.
在保持成形后力学性能的同时,电辅助成形提高了铝合金的成形性。然而,电辅助成形过程中的多物理场耦合载荷对铝合金各向异性行为的建模提出了挑战。传统的关联流规则通常需要复杂的高阶屈服模型和定制的工具。相比之下,与低阶模型相结合的非关联流规则显示出相当的准确性,同时显着降低了复杂性。受其在室温成形中的成功应用鼓舞,本文提出将非关联流动规律与经典的低阶Hill48屈服模型相结合,采用Grosman硬化模型来表征2024-O铝合金在电辅助成形中的各向异性行为。这两种模型都需要精确地确定贯穿厚度应变(εzz)。传统的间接方法通常依赖于实验测量的平面内应变和恒体积假设,这些假设在电辅助成形中是不可靠的。为了解决这一挑战,采用了最近发展的镜面辅助MV-DIC(多视图数字图像相关)技术来直接测量εzz和参数校准,从而消除了对体积守恒假设的依赖。在五种不同加载条件下,对试件进行了电辅助单轴拉伸试验和各向异性本构建模。直接和间接测量的塑性势函数参数平均相对差异为6.2% ~ 14.6%。研究了温度和应变速率对模型参数和变形行为的影响。剪切试件的试验和仿真结果验证了所建立模型的准确性和所提出参数校正方法的优越性。
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引用次数: 0
Yield anisotropy and failure behavior of domestic Zr-2.5Nb pressure tubes: A study combining microstructure and the Hill’48 criterion 国产Zr-2.5Nb压力管屈服各向异性与破坏行为:结合微观结构与Hill’48准则的研究
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2025-12-11 DOI: 10.1016/j.euromechsol.2025.105990
Xikai Xu , Wenjing Ding , Chen Bao , Yupeng Cao , Guannan Zhao
The anisotropic mechanical behavior of domestic Zr-2.5Nb alloy pressure tubes under nuclear reactor service conditions plays a critical role in their structural integrity and reliability. This study systematically investigates the multiscale mechanisms underlying anisotropy in this alloy, integrating microstructural characterization, experimental testing, and numerical modeling. The microstructure and crystallographic texture were examined using electron backscatter diffraction (EBSD), revealing a strong basal texture aligned along the circumferential direction. The critical resolved shear stress (CRSS) and Schmid factors of the dominant slip systems were analyzed to elucidate the deformation mechanisms under different loading orientations. Based on uniaxial tension, compression, and shear tests, all six anisotropy coefficients (F, G, H, L, M, N) of the Hill’48 yield criterion were experimentally calibrated for the domestic alloy. Finite element simulations incorporating these parameters accurately reproduced anisotropic yielding and fracture behaviors of shear and notched specimens, as well as curved compact tension (CCT) specimens. The Hill’48 criterion was shown to capture the directional dependence of yield strength, crack propagation, and fracture toughness with high fidelity. This work establishes, for the first time, a complete and experimentally validated Hill’48 anisotropic framework for domestic Zr-2.5Nb pressure tubes, linking microstructural texture, slip system activation, and macroscopic mechanical response. The developed anisotropic yield criterion can also be directly extended to simulate the burst behavior of full-scale pressure tubes under internal pressure, providing a reliable foundation for structural integrity assessment and safety design in nuclear reactor applications.
国产Zr-2.5Nb合金压力管在核反应堆服役条件下的各向异性力学行为对其结构完整性和可靠性起着至关重要的作用。本研究系统地研究了该合金各向异性的多尺度机制,包括微观组织表征、实验测试和数值模拟。利用电子背散射衍射(EBSD)对其微观结构和晶体织构进行了检测,发现沿周向排列有较强的基底织构。分析了优势滑移体系的临界分解剪应力(CRSS)和施密德因子,阐明了不同加载方向下的变形机制。基于单轴拉伸、压缩和剪切试验,对国产合金的Hill’48屈服准则的6个各向异性系数(F、G、H、L、M、N)进行了实验标定。结合这些参数的有限元模拟准确地再现了剪切和缺口试样以及弯曲紧致拉伸(CCT)试样的各向异性屈服和断裂行为。Hill’48准则被证明能够以高保真度捕获屈服强度、裂纹扩展和断裂韧性的方向依赖性。本研究首次为国产Zr-2.5Nb压力管建立了一个完整且经过实验验证的Hill’48各向异性框架,将微观结构织构、滑移系统激活和宏观力学响应联系起来。所建立的各向异性屈服准则还可以直接推广到全尺寸压力管在内压作用下的破裂行为模拟,为核反应堆应用中的结构完整性评估和安全设计提供可靠的依据。
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引用次数: 0
Experimental verification and theoretical study on nonlinear vibrations of aluminum-based sandwich airfoil plate under external excitations 外激励下铝基夹层翼型板非线性振动的实验验证与理论研究
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2025-12-11 DOI: 10.1016/j.euromechsol.2025.105994
H. Li , W. Zhang , Y.F. Zhang , X.T. Guo , Y.X. Zhang
In the application domains of tactical reconnaissance and high-speed penetration, unmanned aerial vehicles equipped with low-aspect-ratio wings have garnered significant attention due to their high maneuverability, compact structure, and superior high-speed performance. In this paper, the low aspect ratio wing is taken as the research object, and a dynamic model is established for the unified solution of the airfoil quadrilateral wing. This investigation aims to develop a unified methodology for studying nonlinear vibrations of the graphene-reinforced porous aluminum-based (GRPA) sandwich airfoil quadrilateral (GRPA-SAQ) plates under complex boundary conditions, addressing the critical need for analyzing the aeronautical structures with the irregular geometries and reinforced material properties. The GRPA-SAQ plate model is constructed, combining the GRPA core layer with aluminum face sheets, with the arbitrary boundaries simulated by distributed artificial springs. By introducing the four-node coordinate transformation, the airfoil quadrilateral in the Cartesian coordinate system is transformed into the square domain in the natural coordinate system. Based on the first-order shear deformation theory (FSDT), the strain energy, kinetic energy and boundary spring potential energy of the airfoil quadrilateral plate structure in the natural coordinate system are derived. Based on Chebyshev polynomial, the displacement admissible function of equal square plate is constructed. The nonlinear ordinary differential equations for a system are derived using the Lagrange's equation. The model is validated by comparing the natural vibration obtained from modal testing with those from ANSYS simulations. Furthermore, the qualitative agreement between the amplitude-frequency response curves from frequency sweep experiments and the theoretical results further verified the accuracy of the proposed modeling approach. The experimental results demonstrates that the system shows a trend of hard spring characteristics. Subsequently, considering the 1:3 internal resonance of GRPA-SAQ plate, a multi-scale method is adopted in perturbation analysis to obtain the average equation in polar coordinate system for nonlinear response theoretical research. This work establishes an effective method for analyzing the nonlinear vibration of the irregular plate with various boundaries, which provides a new theoretical technique for the dynamic design of the complex geometric structures in the aerospace field.
在战术侦察和高速突防的应用领域,低展弦比机翼的无人机以其高机动性、紧凑的结构和优越的高速性能而备受关注。本文以低展弦比机翼为研究对象,建立了翼型四边形机翼统一求解的动力学模型。本研究旨在建立一种统一的方法来研究复杂边界条件下石墨烯增强多孔铝基(GRPA)夹层翼型四边形(GRPA- saq)板的非线性振动,以解决具有不规则几何形状和增强材料性能的航空结构分析的迫切需要。构建GRPA- saq板模型,将GRPA芯层与铝板结合,采用分布式人工弹簧模拟任意边界。通过引入四节点坐标变换,将直角坐标系下的翼型四边形变换为自然坐标系下的方域。基于一阶剪切变形理论(FSDT),推导了翼型四边形板结构在自然坐标系下的应变能、动能和边界弹簧势能。基于切比雪夫多项式,构造了等方板的位移容许函数。利用拉格朗日方程导出了系统的非线性常微分方程。将模态试验结果与ANSYS仿真结果进行对比,验证了模型的正确性。此外,频率扫描实验的幅频响应曲线与理论结果的定性一致性进一步验证了所提建模方法的准确性。实验结果表明,该系统呈现出硬弹簧特性的趋势。随后,考虑到GRPA-SAQ板的1:3内部共振,采用多尺度摄动分析方法得到极坐标下的平均方程,用于非线性响应理论研究。本文建立了一种分析具有不同边界的不规则板非线性振动的有效方法,为航空航天领域复杂几何结构的动力设计提供了一种新的理论技术。
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引用次数: 0
Flexural-torsional buckling of circular arches with variable cross-section under uniformly distributed radial loads 均布径向荷载作用下变截面圆拱的弯扭屈曲
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2025-12-11 DOI: 10.1016/j.euromechsol.2025.105995
Zixiang Zhang , Weile Wang , Yuanyuan Liu , Airong Liu , Sritawat Kitipornchai , Shaoyu Zhao
Variable cross-section design is a common approach in practical engineering to achieve superior structural characteristics and better landscape effects. This strategy, however, produces complex inner forces in the arch axis and affects the structural out-of-plane flexural-torsional behaviors. To explore the buckling mode and reveal their failure mechanism, this paper carries out an in-depth analysis on the out-of-plane elastic buckling of variable cross-section circular arches with a variable in-plane boundary condition under uniformly distributed radial loads. The cross-section is assumed to be linearized tapered, and the in-plane equilibrium equations of the system are built considering an energy principle. By solving the in-plane governing equations via a harmonic differential quadrature (HDQ) algorithm, the pre-buckling cross-sectional inner forces are obtained. Based on the assumption that the out-of-plane flexural-torsional buckling occurs from an adjacent pre-buckling in-plane deformed equilibrium state, the out-of-plane total potential energy is established. The critical buckling load of variable cross-section circular arches is then determined by solving the out-of-plane governing equations corresponding to lateral displacement and twist angle. Effects of in-plane boundary conditions, cross-section shape, included angle, and slenderness ratio on the flexural-torsional behaviors are further explored. It is found that as the cross-section change parameter continues to grow, the out-of-plane critical buckling load of variable cross-section circular arches decreases gradually, the buckling position shifts towards the arch crown.
变截面设计是在实际工程中实现优越的结构特性和较好的景观效果的常用方法。然而,这种策略在拱轴上产生复杂的内力,并影响结构的面外弯扭行为。为探索其屈曲模式,揭示其破坏机理,本文对均布径向载荷作用下变截面面内边界条件圆拱的面外弹性屈曲进行了深入分析。假设横截面为线性化的锥形,根据能量原理建立了系统的面内平衡方程。通过谐波微分正交(HDQ)算法求解平面内控制方程,得到了预屈曲截面内力。基于面外弯扭屈曲是从相邻的预屈曲面内变形平衡状态发生的假设,建立了面外总势能。然后通过求解横向位移和扭转角对应的面外控制方程,确定变截面圆拱的临界屈曲载荷。进一步探讨了面内边界条件、截面形状、夹角和长细比对弯扭性能的影响。研究发现,随着截面变化参数的不断增大,变截面圆拱的面外临界屈曲载荷逐渐减小,屈曲位置向拱冠方向偏移。
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引用次数: 0
A thermodynamically consistent and strongly coupled chemo–thermo–hygral framework for early-age concrete 早期混凝土的热动力学一致性和强耦合的化学-热-水框架
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2025-12-10 DOI: 10.1016/j.euromechsol.2025.105992
Jian Ding , Xin Wang , Xinyi Ren , Haim Waisman , Zhishen Wu
Concrete is widely used for its high strength and durability. At early ages, hydration, heat transfer, and moisture transport are the main causes of stress. These processes may lead to nonuniform deformation, high tensile stress, and early cracking, which make prediction difficult. Previous chemo–thermo–hygral models often depended on empirical relations or weak coupling assumptions and lacked thermodynamic consistency. As a result, their theoretical rigor and applicability were limited. In this study, a new free energy density function is proposed within a thermodynamically consistent framework, and a strongly coupled chemo–thermo–hygral model for early-age concrete is developed. The governing equations are derived strictly from thermodynamic principles to describe the spatial and temporal evolution of hydration, temperature, and relative humidity. The model is validated by two-dimensional and three-dimensional simulations and experimental data. The results show that the model can accurately capture the evolution of temperature–humidity coupling and has good predictive ability. A parameter analysis shows that the evolution of relative humidity is sensitive and complex, which highlights its key role in the early-age behavior of concrete. The proposed framework overcomes the limitations of existing models and provides a unified and solid basis for the study of coupled reactive porous media, with important implications for structural design, crack control, and durability improvement.
混凝土因其高强度和耐久性而被广泛使用。在早期,水合作用、热量传递和水分输送是应力的主要原因。这些过程可能导致不均匀变形、高拉伸应力和早期开裂,使预测变得困难。以往的化学-热-水模型往往依赖于经验关系或弱耦合假设,缺乏热力学一致性。因此,它们的理论严谨性和适用性受到限制。在本研究中,在热力学一致的框架内提出了一个新的自由能密度函数,并建立了早期混凝土的强耦合化学-热-水模型。控制方程严格根据热力学原理推导,用以描述水化、温度和相对湿度的时空演化。通过二维和三维仿真及实验数据对模型进行了验证。结果表明,该模型能较准确地捕捉温湿度耦合的演变过程,具有较好的预测能力。参数分析表明,相对湿度的演变是敏感和复杂的,突出了其在混凝土早期行为中的关键作用。提出的框架克服了现有模型的局限性,为耦合反应性多孔介质的研究提供了统一、坚实的基础,对结构设计、裂缝控制和耐久性提高具有重要意义。
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引用次数: 0
All admissible shapes of neutral inclusions with the complete Gurtin-Murdoch surface model 具有完整Gurtin-Murdoch表面模型的中性包裹体的所有可接受形状
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2025-12-09 DOI: 10.1016/j.euromechsol.2025.105991
Shichao Xing , Ming Dai , Peter Schiavone
In linear elastostatics, an inclusion embedded into a host foreign matrix is referred to as ‘neutral’ when it does not disturb the original stress field in the matrix. It has been shown that an inclusion of particular shape can be made neutral by designing an appropriate interphase between the inclusion and the matrix. The Gurtin-Murdoch (G-M) interface model has been used extensively in the literature to describe the elastic behavior of an interphase at small scales. It has been shown in the literature that in the case of plane deformation, when the matrix is subjected to external in-plane loading, the use of the simplified version of the G-M interface model (with constant interface parameters), eliminates the possibility of a neutral inclusion except for the case when the inclusion is circular and the (uniform) external in-plane loading is hydrostatic. In this paper, we revisit this scenario and examine the possibility of constructing neutral inclusions using the complete version of the G-M interface model. We identify sufficient and necessary conditions for neutrality in terms of the inclusion shape, the corresponding elastic constants and loading parameters. We find that with the complete version of the G-M interface model (for constant interface parameters), it is indeed possible to construct neutral inclusions for certain non-circular inclusion shapes or non-hydrostatic uniform external in-plane loadings.
在线性弹性静力学中,嵌入到宿主外来矩阵中的内含物,当它不干扰矩阵中的原始应力场时,被称为“中性”。研究表明,通过在夹杂物和基体之间设计合适的界面,可以使特定形状的夹杂物变成中性。Gurtin-Murdoch (G-M)界面模型在文献中被广泛用于描述界面在小尺度上的弹性行为。文献表明,在平面变形的情况下,当基体受到外面内载荷时,使用简化版的G-M界面模型(界面参数恒定),除了包体为圆形且(均匀)外面内载荷为静水载荷的情况外,消除了中性包体的可能性。在本文中,我们重新审视了这种情况,并研究了使用完整版本的G-M界面模型构建中性包裹体的可能性。从夹杂物形状、相应的弹性常数和加载参数等方面确定了中性的充要条件。我们发现,使用G-M界面模型的完整版本(对于恒定的界面参数),对于某些非圆形夹杂形状或非流体静力均匀外平面内载荷,确实可以构建中性夹杂。
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引用次数: 0
The interfacial behavior of fiber-reinforced hydrogels with interphases: Experimental analysis, theoretical modeling and numerical simulation 具有界面相的纤维增强水凝胶的界面行为:实验分析、理论建模和数值模拟
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2025-12-09 DOI: 10.1016/j.euromechsol.2025.105986
Haoyang Wang , Zhen Zhang , Yin Yao , Zhilong Peng , Guangjian Peng , Peijian Chen
Facing the drawbacks of traditional synthetic hydrogels, fiber-reinforced hydrogels are paid more attention due to their advantages such as high strength and fracture toughness, superior fatigue resistance and so on. However, the poor interfacial behavior of fiber-reinforced hydrogels hinders their blooming applications in flexible electronics, biochemistry, soft robotics, etc. Through existing works have dealt with direct bonding between fibers and the matrix, obvious shortcomings occur when the material mismatch is rather serious. Herein, a strategy of introducing interphases to improve the interfacial behavior of fiber-reinforced hydrogels is proposed. The interfacial response of fiber-reinforced hydrogels under single-fiber pull-out loads is comprehensively analyzed through experimental research, theoretical analysis and numerical simulation. It is found that fiber-reinforced hydrogels with interphases exhibit superior interfacial performance, and the corresponding interfacial failures can be effectively avoided due to the significant reduction of interfacial shear stress by up to 80 % and the increase of interfacial strength. What is more, the interfacial behavior of fiber-reinforced hydrogels with interphases can be well improved by tuning various material and geometric factors. These results should be helpful not only for the design of fiber-reinforced hydrogels, but also for the enhancement of knowledge of interfacial mechanics.
面对传统合成水凝胶的种种弊端,纤维增强水凝胶以其高强度、高断裂韧性、优异的抗疲劳性能等优点而备受关注。然而,纤维增强水凝胶不良的界面行为阻碍了其在柔性电子、生物化学、软机器人等领域的广泛应用。通过现有的文献对纤维与基体直接结合的处理,当材料失配比较严重时,存在明显的缺点。本文提出了一种引入界面相来改善纤维增强水凝胶界面行为的策略。通过实验研究、理论分析和数值模拟,全面分析了纤维增强水凝胶在单纤维拉拔载荷作用下的界面响应。结果表明,具有界面相的纤维增强水凝胶具有优越的界面性能,界面剪切应力降低高达80%,界面强度提高,可有效避免界面破坏。此外,纤维增强水凝胶的界面行为可以通过调节各种材料和几何因素得到很好的改善。这些结果不仅有助于纤维增强水凝胶的设计,而且有助于增强界面力学知识。
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European Journal of Mechanics A-Solids
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