Computational Failure Mechanics Of Solids And Structures

建议的研究将集中在数值模拟， 以不连续分叉形式出现的局部失效。 一 将制定统一的方法， 固定网格和移动网格方法中的不连续性， 网格重新对齐。 待开发的计算框架 将提供（i）奇异性丰富的有限元与 在固定的网格布局内传输局部故障的能力， (ii)网格重新调整策略，以捕获 通过节点重新定位的一阶不连续性。 的 拟议的工作还将包括理论和计算 通过非局部方法正则化软化公式的发展 断裂能概念

The proposed research will focus on the numerical simulation of localized failure in the form of discontinuous bifurcation. A unified approach will be developed to capture spatial discontinuities within fixed grid and moving grid methods using mesh re-alignment. The computational framework to be developed will provide (i) singularity-enriched finite elements with the ability to transmit localized failure within a fixed grid lay-out, (ii) grid re-alignment strategies in order to capture discontinuities of the first order via nodal re-location. The proposed work will also encompass theoretical and computational developments to regularize softening formulations via nonlocal fracture energy concepts.