海角黑料

Speaker's Name: William Coombs
Speaker's Affiliation: Durham University
Speaker's Research Theme(s): Applied Mathematics
Abstract:
Most engineering numerical analyses of solid mechanics problems are conducted using the Finite-Element Method (FEM). However, the FEM suffers from a key issue - the inability to handle large deformations without re-meshing and projection of history-dependent variables, making the simulation of large deformation problems numerically tiresome. The Material Point Method (MPM) is very similar to the FEM, with one key difference; the points that represent the physical material (known as material points or MPs) are allowed to move relative to the mesh, no longer being directly coupled to their parent element unlike conventional quadrature points in the FEM. This allows material to deform through the background grid and avoids mesh distortion and removes the need to re-mesh and makes the MPM seemingly ideal for the simulation of large deformation solid mechanics problems. However, several issues manifest when the points representing the physical material are decoupled from the computational mesh. This seminar will provide an overview of the MPM, explain some of the issues associated with the method, and ways that these issues have been overcome by researchers at Durham University. The numerical analyses presented during the seminar are based on AMPLE (A Material Point Learning Environment, ), which is a MATLAB-based implementation of the MPM developed by Professor Coombs that is ideally suited to people who want to understand the MPM and test out/develop new ideas within the method [1].

Venue: Online
Online Conference Link: