27 citations · 32 across the 8 of their papers we have counts for
6 papers · 1 filter
Automatic differentiation in finite element stress updating
Mao Ouyang, Alexandros Petalas, William M. Coombs +1
Computational solid mechanics relies on the discretisation of differential equations, requiring numerical differentiation and integration, often via quadrature. Recently, automatic…
An implicit octree-based adaptive Material Point Method
Robert E. Bird, William M. Coombs, Charles E. Augarde +2
The Material Point Method provides an effective approach for modelling the large deformations that often arise from contact interactions between rigid structures and surrounding co…
Caveats on formulating finite elasto-plasticity in curvilinear coordinates
Giuliano Pretti, Robert E. Bird, William M. Coombs +1
Tensor analysis provides a frame-invariant foundation for continuum mechanics, yet numerical implementations rely on matrix representations expressed in user-selected bases. When t…
A dynamic implicit 3D material point-to-rigid body contact approach for large deformation analysis
Robert E. Bird, Giuliano Pretti, William M. Coombs +6
Accurate and robust modelling of large deformation three dimensional contact interaction is an important area of engineering, but it is also challenging from a computational mechan…
A stable poro-mechanical formulation for Material Point Methods leveraging overlapping meshes and multi-field ghost penalisation
Giuliano Pretti, Robert E. Bird, Nathan D. Gavin +2
The Material Point Method (MPM) is widely used to analyse coupled (solid-water) problems under large deformations/displacements. However, if not addressed carefully, MPM u-p formul…
Ghost stabilisation of the Material Point Method for stable quasi-static and dynamic analysis of large deformation problems
William M. Coombs
The unstable nature of the material point method is widely documented and is a barrier to the method being used for routine engineering analyses of large deformation problems. The…