题目 : GraFEA: A Nonlocal Computational Approach for Fracture in Brittle Solids
报告人:J.N.Reddy Texas A&M University
时间:2026年8月12日星期三上午10:00
地点:上海大学延长校区力学所200学术报告厅
专家简介
Dr. Reddy is a Distinguished Professor, Regents' Professor, and the holder of the O'Donnell Foundation Chair IV in Mechanical Engineering at Texas A&M University, College Station, Texas. Dr. Reddy, an ISI Highly Cited Researcher, is known for his significant contributions to the field of applied mechanics through the authorship of many textbooks (25) and journal papers (>850). His pioneering works on the development of shear deformation theories (that bear his name in the iterature as the Reddy third-order plate theory and the Reddy layerwise theory) have had a major impact and have led to new research developments and applications.
摘要信息
This lecture deals with a thermodynamically consistent fracture model for brittle and quasi-brittle materials plates using a Graph-based Finite Element (GraFEA) approach. Previous studies by this group have considered a small-strain-based approach to describe fracture in quasi-brittle and brittle elastic solids. These studies formulated a graph-based approach in two and three dimensions, implementing it in Abaqus/Explicit using a vectorized user material subroutine (VUMAT). However, conducting a three-dimensional simulation can be computationally demanding when dealing with thin structural elements like plates and shells, where the planform dimensions are much larger than the thickness. Hence, in this study, a computational model based on GraFEA which describes the deformation kinematics of the plate using the first-order shear deformation theory (FSDT) is developed. The fundamental idea of this model is the presence of multiple microcracks traversing through a material point on the top and bottom surfaces of the plate. Crack planes represent these microcracks, oriented at specific angles relative to the x-axis. The state of a crack plane evolves based on the probabilistic description provided in the previous studies. An elastic corrector-fracture predictor method and a velocity-verlet algorithm are used to solve the static and dynamic versions of the governing equations in a finite element framework. It is shown that the proposed formulation compares well with the numerical results from the GraFEA 3D simulations and experimental observations from the literature.
