A Taylor-Galerkin algorithm for shock wave propagation and strain localization failure of viscoplastic continua
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Publication:1400695
DOI10.1016/S0045-7825(02)00619-9zbMath1025.74032MaRDI QIDQ1400695
Publication date: 13 August 2003
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Shocks and related discontinuities in solid mechanics (74J40) Anelastic fracture and damage (74R20) Finite element methods applied to problems in solid mechanics (74S05)
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Cites Work
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- Time-accurate solution of advection-diffusion problems by finite elements
- An analysis of time discretization in the finite element solution of hyperbolic problems
- A new finite element based Lax-Wendroff/Taylor-Galerkin methodology for computational dynamics
- An introduction to finite element methods for transient advection problems
- Numerical algorithms for strong discontinuities in elastic-plastic solids
- High-order Taylor-Galerkin and adaptive \(h\)-\(p\) methods for second-order hyperbolic systems: Application to elastodynamics
- Enhanced linear triangle for plasticity problems in \(J_2^\prime\) solids
- High-order Taylor-Galerkin methods for linear hyperbolic systems
- A reappraisal of Taylor-Galerkin algorithm for drying-wetting areas in shallow water computations
- A Taylor-Galerkin method for convective transport problems
- The solution of non-linear hyperbolic equation systems by the finite element method
- Experiments on iterative solution for the semi-implicit characteristic-Galerkin algorithm
- A taylor weak-statement algorithm for hyperbolic conservation laws
- Triangles and tetrahedra in explicit dynamic codes for solids
- A Godunov method for localization in elastoplastic granular flow
- A class of mixed assumed strain methods and the method of incompatible modes
- A high-order Eulerian Godunov method for elastic-plastic flow in solids
