AI 中文总结
研究非弹性材料微观力学测试模拟中裂缝的无矩阵相场建模，通过在开源库中实现特定本构框架，引入流变断裂单元，利用GPU进行高阶有限元计算，对合成微观结构模拟，再现了非弹性响应和裂纹扩展模式。
AI 中文摘要
在裂缝的相场建模中，解决弥散裂缝上陡峭的损伤梯度有利于使用高阶有限元，无矩阵方法可为其提供卓越性能和可扩展性。本文在一个支持无矩阵算子的开源固体力学库中，为粘弹塑性材料实现了Peric&Dettmer本构框架，采用p多重网格预处理在GPU上进行高阶有限元计算。引入串联组装的流变断裂单元，使非弹性和断裂特性仅在均匀化长度尺度上相互影响。在El Capitan高性能计算原型上对合成颗粒-基体微观结构进行拉伸和压缩试验的数值模拟，结果再现了特征非弹性响应和裂纹扩展模式。
英文摘要
Resolving steep damage gradients across diffuse cracks in the phase-field modeling of fracture favors the use of high-order finite elements, for which matrix-free methods can provide superior performance and scalability. Here, we implement the Peric & Dettmer constitutive framework for visco-elastoplastic materials in an open source solid mechanics library supporting matrix-free operators for high-order finite elements with p-multigrid preconditioning on GPUs. We introduce a rheological fracture element assembled in series so that inelastic and fracture properties can appear to affect each other only at homogenization length scales. Numerical simulations of tensile and compressive tests are conducted for synthetic particle-matrix microstructures on an El Capitan high performance computing prototype. Results are shown to reproduce characteristic inelastic responses and crack propagation patterns.
Comments30 pages, 14 figures
