On the use of space-time finite elements in the solution of elasto-dynamic problems with strain discontinuities.

DOI10.1016/S0045-7825(02)00460-7zbMath1083.74587MaRDI QIDQ1871013

Yanyan Li

Publication date: 6 May 2003

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

dynamic fracturedynamic phase transitiondiscontinuous Galerkin FEM

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Anelastic fracture and damage (74R20) Finite element methods applied to problems in solid mechanics (74S05) Dynamics of phase boundaries in solids (74N20)

Related Items (15)

Discontinuous Galerkin method based on peridynamic theory for linear elasticity ⋮ Nonlinear thermo-electromagnetic analysis of inductive heating processes ⋮ Treatment of fast moving loads in elastodynamic problems with a space-time variational formulation ⋮ A method for multidimensional wave propagation analysis via component-wise partition of longitudinal and shear waves ⋮ A two-dimensional space-time absolute nodal coordinates cable element and its application in shape memory alloy ⋮ A time-discontinuous implicit variational integrator for stress wave propagation analysis in solids ⋮ Multi-field spacetime discontinuous Galerkin methods for linearized elastodynamics ⋮ Space–time discontinuous Galerkin method for dynamics of solids ⋮ Higher order accurate discontinuous and continuous p‐Galerkin methods for linear elastodynamics ⋮ Proof of unconditional stability for a single-field discontinuous Galerkin finite element formulation for linear elastodynamics ⋮ Vibration analysis for elastic multi-beam structures by theC⁰-continuous time-stepping finite element method ⋮ Vibration analysis of plane elasticity problems by the \(C^0\)-continuous time stepping finite element method ⋮ A space-time discontinuous Galerkin finite element method for fully coupled linear thermo-elasto-dynamic problems with strain and heat flux discontinuities ⋮ A numerical verification for an unconditionally stable FEM for elastodynamics ⋮ A low-order locking-free hybrid discontinuous Galerkin element formulation for large deformations

Cites Work

• Unnamed Item
• Unnamed Item
• On the driving traction acting on a surface of strain discontinuity in a continuum
• On the energy release rate in elastodynamic crack propagation
• Space-time finite element methods for second-order hyperbolic equations
• Introduction to continuum mechanics for engineers
• Discontinuity-capturing operators for elastodynamics
• The elastic energy-momentum tensor
• Discontinuous Galerkin finite element methods for second order hyperbolic problems
• Dynamics of propagating phase boundaries: Thermoelastic solids with heat conduction
• Space-time finite element methods for elastodynamics: Formulations and error estimates
• The nature of configurational forces
• An introduction to continuum mechanics

This page was built for publication: On the use of space-time finite elements in the solution of elasto-dynamic problems with strain discontinuities.