LCE: Collaborative Researach: Computational Methods for Mechanism-Based Higher-Order Continuum Theories

基于机构学的高阶连续统理论的计算方法首页--期刊主要分类--期刊细介绍--期刊题录与文摘--文摘内容黄某，系。目标是为最近提出的虚拟内部键(VIB)方法开发新的计算方法。VIB方法将经典连续介质力学的应用范围扩展到在更小的长度尺度(例如，弹性变形中的晶格间距)下模拟粘性弹性。这种理论应用的一个主要障碍是缺乏对涉及多个不同材料长度尺度的高阶或非局部连续体理论的有效数值方法。在这里，我们计划开发一种稳健和可靠的数值方法来分析经典连续介质理论无法处理的多尺度现象。我们的努力将包括开发用于多尺度计算的高效和可伸缩的数值方法。我们将把数值结果与实验结果进行比较，以验证理论，并用数值方法研究经典连续介质理论无法解决的几个基本问题。

Computational Methods for Mechanism-Based Higher-Order Continuum TheoriesH. Gao, Division of Mechanics and Computation, Stanford University, Palo Alto, CA 94305Y. Huang, Dept. of Mechanical and Industrial Engr., University of Illinois, Urbana, CA 61801The objective is to develop novel computational methods for the recently proposed virtual internal bond (VIB) method. The VIB method extends the application range of classical continuum mechanics to modeling cohesive elasticity at much smaller length scales (e.g., lattice spacing in elastic deformation). A major obstacle to the application of such theory is the lack of efficient numerical methods for higher order or nonlocal continuum theories involving multiple distinct materials length scales. Here we plan to develop a robust and reliable numerical method to analyze multiscale phenomena that cannot be addressed by classical continuum theories. Our effort will include the development of efficient and scalable numerical methods for multiscale computation. We will compare the numerical results with experiments to validate the theory, and use the numerical method to investigate several fundamental problems that cannot be addressed by classical continuum theories.