The use of a discontinuous Galerkin (DG) formulation for the solution of elasto-dynamic problems with discontinuities in the displacement gradients is examined. Comparisons with exact solutions are presented. The paper demonstrates that space-time finite element methods based on a DG formulation can
On the use of space-time finite elements in the solution of elasto-dynamic fracture problems
β Scribed by Hao Huang; Francesco Costanzo
- Book ID
- 111582674
- Publisher
- Springer Netherlands
- Year
- 2004
- Tongue
- English
- Weight
- 1009 KB
- Volume
- 127
- Category
- Article
- ISSN
- 1573-2673
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## Abstract In this paper two plane strain quadrilateral elements with two and four variables, are proposed. These elements are applied to the analysis of finite strain elastoβplastic problems. The elements are based on the enhanced strain and Bβbar methodologies and possess a stabilizing term. The
Quadratic isoparametric elements which embody the inverse square root singularity are used in the calculation of stress intensity factors of elastic fracture mechanics. Examples of the plane eight noded isoparametric element show that it has the same singularity as other special crack tip elements,