今日更新:International Journal of Solids and Structures 1 篇,Journal of the Mechanics and Physics of Solids 1 篇,Mechanics of Materials 1 篇,International Journal of Plasticity 1 篇,Thin-Walled Structures 1 篇
Localizations and mode transition of cylindrical shells with geometrical imperfections under axial compression: Numerical and experimental investigations
V. Ravulapalli, G. Raju, M. Ramji, V. Narayanamurthy
doi:10.1016/j.ijsolstr.2025.113375
轴向压缩下带几何缺陷圆柱壳的局部化和模态转变:数值和实验研究
The bending-dominated post-buckling deformations of cylindrical shells offer valuable opportunities for designing compliant mechanisms in soft materials. A deep understanding of the mechanics behind mode localization and transition phenomena is crucial for tailoring periodic mode shapes in shells. In this study, both finite element and experimental studies are conducted to explain the mechanics of circumferential snaking and mode jump phenomena using strain energy density as a key parameter. The numerical analysis reveals the complex interplay between the geometry and strain energy distribution during the snaking phenomenon. In this process, membrane strain energy stored in the structure is converted into bending strain energy, which is then redistributed to localized geometrical features within the periodic mode shape. Furthermore, the study examines the relationship between bending strain energy evolution and geometric transitions that occur during a mode jump, which leads to a reduction in the circumferential wave number of the shell’s periodic mode shape. Experimental validation is performed on 3D-printed cylindrical shells using a multi-3D Digital Image Correlation (DIC) setup. A methodology based on Sander-Koiter’s kinematics is developed to evaluate the full-field bending strain energy density distributions in the shells. The experimental results align with the numerical simulations, providing valuable insights into the nonlinear post-buckling behavior of cylindrical shells. These findings can be applied to the design of continuous compliant-shell mechanisms in soft robotics paving the way for advanced flexible mechanical systems.
弯曲主导的圆柱壳后屈曲变形为软材料柔顺机构的设计提供了宝贵的机会。深入理解模态局域化和跃迁现象背后的力学对于在壳中裁剪周期模态振型至关重要。本研究以应变能密度为关键参数,采用有限元和实验相结合的方法解释了环向蛇形和模态跳跃现象的机理。数值分析揭示了弯曲过程中几何形态与应变能分布之间复杂的相互作用。在这一过程中,储存在结构中的膜应变能被转换成弯曲应变能,然后被重新分配到周期模态振型内的局部几何特征上。此外,该研究还研究了弯曲应变能演化与模态跳跃期间发生的几何跃迁之间的关系,这种跃迁导致壳的周期模态振型的周向波数减少。利用多三维数字图像相关(DIC)装置对3d打印圆柱壳进行了实验验证。提出了一种基于Sander-Koiter运动学的弹壳全场弯曲应变能密度计算方法。实验结果与数值模拟结果一致,为圆柱壳的非线性后屈曲行为提供了有价值的见解。这些发现可以应用于软机器人中连续柔壳机构的设计,为先进的柔性机械系统铺平道路。
A finite deformation theory of dislocation thermomechanics
Gabriel D. Lima-Chaves, Amit Acharya, Manas V. Upadhyay
doi:10.1016/j.jmps.2025.106141
位错热力学的有限变形理论
A geometrically nonlinear theory for field dislocation thermomechanics based entirely on measurable state variables is proposed. Instead of starting from an ordering-dependent multiplicative decomposition of the total deformation gradient tensor, the additive decomposition of the velocity gradient into elastic, plastic and thermal distortion rates is obtained as a natural consequence of the conservation of the Burgers vector. Based on this equation, the theory consistently captures the contribution of transient heterogeneous temperature fields on the evolution of the (polar) dislocation density. The governing equations of the model are obtained from the conservation of Burgers vector, mass, linear and angular momenta, and the First Law. The Second Law is used to deduce the hyperelastic constitutive equation for the Cauchy stress and the thermodynamical driving force for the dislocation velocity. An evolution equation for temperature is obtained from the First Law and the Helmholtz free energy density, which is taken as a function of the following measurable quantities: elastic distortion, temperature and the dislocation density (the theory allows prescribing additional measurable quantities as internal state variables if needed). Furthermore, the theory allows one to compute the Taylor-Quinney factor, which is material and strain rate dependent. Accounting for the polar dislocation density as a state variable in the Helmholtz free energy of the system allows for temperature solutions in the form of dispersive waves with finite propagation speed, i.e. thermal waves, despite using Fourier’s law of heat conduction as the constitutive assumption for the heat flux vector.
提出了一种完全基于可测状态变量的场位错热力学几何非线性理论。不是从总变形梯度张量的顺序依赖的乘法分解开始,而是将速度梯度分解为弹性、塑性和热畸变率,作为Burgers矢量守恒的自然结果得到。基于该方程,该理论一致地捕获了瞬态非均质温度场对(极性)位错密度演变的贡献。模型的控制方程由Burgers矢量守恒、质量守恒、线性守恒和角动量守恒以及第一定律得到。利用第二定律推导出柯西应力的超弹性本构方程和位错速度的热力学驱动力。从第一定律和亥姆霍兹自由能密度得到温度的演化方程,该方程是以下可测量量的函数:弹性变形、温度和位错密度(如果需要,该理论允许规定额外的可测量量作为内部状态变量)。此外,该理论允许人们计算泰勒-昆尼因子,这是材料和应变率相关。将极性位错密度作为系统亥姆霍兹自由能中的状态变量,尽管使用傅立叶热传导定律作为热通量矢量的本构假设,但仍允许以有限传播速度的色散波(即热波)的形式求解温度。
Coupling between Elastic Waves and Magnetic Spin Waves in Saturated Ferromagnetoelastic Plates
Nian Li, Jiashi Yang
doi:10.1016/j.mechmat.2025.105361
饱和铁磁弹性板中弹性波与磁自旋波的耦合
This study develops a set of two-dimensional equations for saturated ferromagnetoelastic plates through power series expansion of three-dimensional equations along the plate thickness coordinate. The equations are truncated to zero- and first-order equations for extension and flexure with shear deformation. For a plate of cubic crystals, the derived plate equations split into two groups: one is for flexure with shear deformation and the other is for in-plane extension. These equations enable systematic investigation of coupled elastic and spin wave propagation in plate structures. Magnetoelastic coupling mechanisms are observed through dispersion analysis. Particularly, comparative studies reveal the plate theory’s capability and efficiency in characterizing zero- and first-order elastic waves as well as zero- and first-order spin waves. The proposed plate theory provides an effective modeling tool for designing magnetoelastic devices based on the interaction between elastic and spin waves.
本文通过对三维方程沿板厚坐标的幂级数展开,建立了饱和铁磁弹性板的二维方程。该方程被截断为具有剪切变形的伸缩和弯曲的零阶和一阶方程。对于立方晶体平板,导出的平板方程分为两组:一类是具有剪切变形的弯曲方程,另一类是平面内扩展方程。这些方程使系统地研究弹性和自旋波在板结构中的耦合传播成为可能。通过色散分析观察了磁弹性耦合机制。特别地,对比研究揭示了平板理论在表征零阶和一阶弹性波以及零阶和一阶自旋波方面的能力和效率。所提出的板理论为设计基于弹性和自旋波相互作用的磁弹性器件提供了有效的建模工具。
Two-phase microstructure-based crystal plasticity constitutive model for nickel-based single crystal superalloys incorporating Re effects on rafting and dislocation evolution
Xiaowei Li, Yaxin Zhu, Lv Zhao, Shuang Liang, Minsheng Huang, Zhenhuan Li
doi:10.1016/j.ijplas.2025.104343
考虑Re效应的镍基单晶高温合金两相显微组织结晶塑性本构模型
The unique two-phase microstructure of nickel-based single crystal superalloys (NBSCSs) imparts exceptional high-temperature mechanical properties, promoting the use of NBSCSs for turbine blades. A moderate addition of rhenium (Re) can further enhance the mechanical properties by influencing dislocation evolution within the two-phase microstructure and mitigating rafting. The present work aims to quantitatively correlate dislocation evolution and rafting in the two-phase microstructure with the macroscopic mechanical behavior of NBSCSs. To this end, a representative volume element (RVE) consisting of a cubic precipitate surrounded by horizontal and vertical matrix channels is built, and a micromechanical homogenization method based on small perturbation analysis is adopted. To improve the computational efficiency while maintaining a reasonable accuracy, an approximate algorithm is proposed. Based on this, a two-phase microstructure-based crystal plasticity (CP) constitutive model that incorporates Re-influenced dislocation evolution mechanisms and accounts for Re-influenced evolution of the two-phase microstructure (i.e., rafting) has been developed. Using a unified set of constitutive parameters, this CP model successfully predicts both the instantaneous plasticity and prolonged-time creep behaviors of NBSCSs under various temperatures, loading rates and loading orientations. It is noteworthy that the influence of Re doping on both dislocation evolution and rafting is considered in the present CP model, significantly enhancing its ability for describing the mechanical behavior of NBSCSs.
镍基单晶高温合金(NBSCSs)独特的两相组织赋予了其优异的高温力学性能,促进了其在涡轮叶片中的应用。适量添加铼(Re)可以通过影响两相组织内的位错演化和减轻漂流来进一步提高合金的力学性能。本工作旨在定量地将两相微观结构中的位错演化和漂流与nbscs的宏观力学行为联系起来。为此,构建了由水平和垂直基质通道包围的立方沉淀物构成的代表性体积元(RVE),并采用了基于小微扰分析的微力学均质方法。为了在保持合理精度的同时提高计算效率,提出了一种近似算法。在此基础上,建立了一种基于两相微观结构的晶体塑性(CP)本构模型,该模型包含了再影响位错演化机制,并考虑了两相微观结构(即筏化)的再影响演化。该模型采用统一的本构参数集,成功地预测了nbscs在不同温度、加载速率和加载方向下的瞬时塑性和长时间蠕变行为。值得注意的是,该CP模型同时考虑了Re掺杂对位错演化和漂移的影响,显著增强了其描述nbscs力学行为的能力。
Regulating Energy-absorption Mechanism of Sandwich Construction through Encasing High-strength Fabric outside Foam Core
Jianwei Ren, Zhenyu Zhao, Han Meng, Daqiao Zhang, Jian Wu, Bangjie Li, Rui Zhang
doi:10.1016/j.tws.2025.113325
泡沫芯外包覆高强织物调节夹层结构吸能机理
Encasing high-strength composite fabric outside foam core has been proposed to enhance the impact resistance of the overall sandwich structure. Built upon the experimental findings, the dynamic response of sandwich containing an encased foam core, through UHMWPE here, was investigated numerically. First, employing a validation FE calculation, both the physical behavior and energy-absorption mechanism of encasing effect induced by high-strength fabric upon the dynamic response of sandwich construction were explored. Then, the effect of material properties of fabric and foam, as well the boundary condition were discussed from the perspective of structural energy absorption. The presence of fabric alters the strain and stress spatial distribution of the foam core component, thus affecting the energy absorption ratio of each component and leading to an increased 24 % energy absorption for the entire construction. Fabric encasement outside the foam core improves the impact resistance of the loaded target through two aspects: (1) diminishing crack initiation within the foam core, (2) intensifying the energy absorption of the facesheet component by nearly three times. Also, the boundary condition plays an essential role in such an improvement approach, through varying the initiation of structural damage at the loaded target. This research provides a new insight into the design of protective components against blasting scenarios.
提出在泡沫芯外包覆高强复合材料,以提高整体夹层结构的抗冲击性能。在实验结果的基础上,通过超高分子量聚乙烯(UHMWPE)对含包芯泡沫夹层的动力响应进行了数值研究。首先,通过验证有限元计算,探讨了高强织物包围效应对夹层结构动力响应的物理行为和吸能机理。然后,从结构吸能的角度讨论了织物和泡沫材料性能的影响,以及边界条件。织物的存在改变了泡沫芯构件的应变和应力空间分布,从而影响了各构件的吸能比,导致整个结构的吸能增加24%。泡沫芯外的织物包裹通过两个方面提高了加载目标的抗冲击性:(1)减少了泡沫芯内的裂纹起裂;(2)增强了面片组件的能量吸收,增加了近三倍。此外,边界条件在这种改进方法中起着至关重要的作用,它通过改变加载目标处结构损伤的起爆。该研究为爆破防护构件的设计提供了新的思路。