Topic: Mechanical & Industrial Engineering
Download (124) times
Last Download at Monday 23rd of April 2012 12:17:35 AM
A New Discontinuous Galerkin Method For Non-linear Mechanics
A discontinuous Galerkin framework for large deformations of solids is established. The method is based on a general Hu-Washizu-de Veubeke functional allowing for displacement and stress discontinuities in the domain interior. The focus of this paper is on the treat- mentoflargeelasto-plastic deformations. The method is shown to possess the required numerical properties: consistency in the non-linear range and linearized stability.
In order to demonstrate the versatility, accuracy and robustness of the method examples of application and convergence studies in three dimensions are provided. Further developments of the method will lead to applications where physical discontinuities must be modeled like fragmentation or failure.
The main interest in this paper is to develop a discontinuous Galerkin method that can be applied to problems involving large plastic deformations. Towards this end, the constitutive model based on the so called variational updates described in 12,13 is implemented and employed in the simulations. The main feature of this formulation is that the stress tensor always derives from an incremental potential, even if plastic deformations occur.
A discontinuous Galerkin method that can be applied to non-linear mechanics, involving plasticity is proposed. Robustness and accuracy of the method are demonstrated in the linear and in the non-linear range. This general method is a first step toward applications involving more complex material failure.
Source: isn-csm.mit.edu
Related PDF Files
Comments for A New Discontinuous Galerkin Method For Non-linear Mechanics