4 papers
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…