今日更新:Mechanics of Materials 1 篇,Thin-Walled Structures 1 篇
Determination of total crack free surface area creation and failure in quasi-brittle microcracking solids using 2D GraFEA simulations
C. Lawrence, P. Thamburaja, A. Srinivasa, J.N. Reddy, T.E. Lacy
doi:10.1016/j.mechmat.2024.104946
利用二维 GraFEA 模拟确定准脆微裂纹固体中产生和破坏的总裂纹自由表面积
One of the long-standing problems in continuum damage mechanics is accurate prediction of damage evolution that accounts for the distribution of microstructural features. This is particularly true for microcracking solids, such as concrete, where non-uniformity in the size and spatial distribution of defects can lead to non-uniqueness in the continuum-averaged energy release rate (and free surface area creation) for cases where local microcrack growth occurs. In this work, a novel theoretical framework for quantifying the crack free surface area creation is formulated and used along with a previously developed non-local numerical technique known as Graph-based Finite Element Analysis (GraFEA). Using the 2D GraFEA approach and its implementation into a finite element code, the invariance of the crack free surface area created and the total amount of energy dissipated due to fracture was demonstrated. This research aims to honor the lifelong accomplishments of Professor Alan Needleman in computational modeling of deformation and fracture.
连续损伤力学中一个长期存在的问题是如何根据微结构特征的分布准确预测损伤的演变。这对于混凝土等微裂缝固体来说尤为如此,缺陷大小和空间分布的不均匀性会导致局部微裂缝生长情况下连续平均能量释放率(和自由表面积产生)的非唯一性。本研究制定了量化裂纹自由表面积产生的新理论框架,并将其与之前开发的非局部数值技术(即图基有限元分析 (GraFEA))结合使用。利用二维 GraFEA 方法及其在有限元代码中的实施,证明了所产生的裂纹自由表面积和因断裂而耗散的能量总量的不变性。这项研究旨在纪念 Alan Needleman 教授在变形和断裂计算建模方面的毕生成就。
Size parameter calibration of nonlocal strain gradient theory based on molecular dynamics simulation of guided wave propagation in aluminum plates
Cancan Liua, Jiangong Yu, Bo Zhang, Chuanzeng Zhang
doi:10.1016/j.tws.2024.111659
基于铝板导波传播分子动力学模拟的非局部应变梯度理论的尺寸参数校准
The nonlocal strain gradient theory (NSGT) describes long-range interatomic interactions and higher-order strain gradients by introducing size parameters. However, the NSGT is constrained in studying the elastic wave propagation problems due to the difficulty in obtaining the precise size parameters. In this paper, the molecular dynamics (MD) simulations of the elastic wave propagation in the aluminum nano-plate are conducted, and the size parameters in the NSGT are calibrated based on the MD simulation results. The MD simulation process is divided into three stages: relaxation, excitation, and free vibration analysis. The embedded atom method is used to describe the interactions between the metal atoms. During the MD simulations, appropriate boundary conditions and excitation methods are proposed to obtain the group velocities of the elastic bulk, Lamb and SH waves. In addition, based on the three-dimensional (3D) elasticity theory and analytical integration Legendre polynomial method, the theoretical dispersion curves of the elastic wave propagation in the NSGT model are obtained. It is found that both the nonlocal theory and the NSGT can predict the guided elastic wave group velocity, and the NSGT prediction and MD simulation can be well matched when the size parameters are restricted to a certain calibrated regional band. The vibration of atoms in the Lamb wave propagation process is more complex than that in the SH wave propagation, leading to a more substantial size effect on the Lamb wave dispersions.
非局部应变梯度理论(NSGT)通过引入尺寸参数来描述长程原子间相互作用和高阶应变梯度。然而,由于难以获得精确的尺寸参数,NSGT 在研究弹性波传播问题时受到限制。本文对铝纳米板中的弹性波传播进行了分子动力学(MD)模拟,并根据 MD 模拟结果校准了 NSGT 中的尺寸参数。MD 模拟过程分为三个阶段:弛豫、激励和自由振动分析。嵌入原子法用于描述金属原子之间的相互作用。在 MD 模拟过程中,提出了适当的边界条件和激励方法,以获得弹性体波、Lamb 波和 SH 波的群速度。此外,基于三维(3D)弹性理论和解析积分 Legendre 多项式方法,得到了弹性波在 NSGT 模型中传播的理论频散曲线。研究发现,非局部理论和 NSGT 都能预测导波弹性波的群速度,而且当尺寸参数限制在一定的校准区域带时,NSGT 预测和 MD 模拟能很好地匹配。原子在 Lamb 波传播过程中的振动比 SH 波传播过程中的振动更复杂,导致尺寸对 Lamb 波色散的影响更大。