Q1. What have the authors contributed in "A 3d cell-centered ader mood finite volume method for solving updated lagrangian hyperelasticity on unstructured grids" ?
In this paper, the authors present a conservative cell-centered Lagrangian Finite Volume scheme for solving the hyperelasticity equations on unstructured multidimensional grids. The starting point of the present approach is the cell-centered FV discretization named EUCCLHYD and introduced in the context of Lagrangian hydrodynamics. This strategy has been successfully tested in an hydrodynamics context and the present work aims at extending it to the case of hyperelasticity. A relatively large set of numerical test cases is presented to assess the ability of the method to achieve effective second order of accuracy on smooth flows, maintaining an essentially non-oscillatory behavior and general robustness across discontinuities and ensuring at least physical admissibility of the solution where appropriate. These test cases feature material bending, impact, compression, non-linear deformation and further bouncing/detaching motions.
Q2. What future works have the authors mentioned in the paper "A 3d cell-centered ader mood finite volume method for solving updated lagrangian hyperelasticity on unstructured grids" ?
A plan for future work involves the introduction of plasticity into this hyperelasticity model. The authors also plan to investigate the high-order extension over curvilinear simplicial grids of the present FV discretization. Another direction of evolution would be to add some ArbitraryLagrangian-Eulerian capability and the possibility to let two elastic materials interacting with each other, for instance impacting, deforming and further detaching from each others.