An explicit time-stepping technique for elastic waves under concepts of Green's functions computed locally by the FEM

DOI10.1016/j.enganabound.2014.09.015zbMath1403.74046OpenAlexW2077810946MaRDI QIDQ1653622

J. E. A. Silva, F. S. Loureiro, Webe Joao Mansur

Publication date: 6 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2014.09.015

zbMATH Keywords

FEMelastic waveslocal Green's functionstime steppingprinciple of causality

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Linear waves in solid mechanics (74J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80)

Related Items (11)

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Uses Software

• FEAPpv

Cites Work

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• Convolution quadrature time-domain boundary element method for 2-D and 3-D elastodynamic analyses in general anisotropic elastic solids
• Transient elastodynamic three-dimensional problems in cracked bodies
• A novel time-marching scheme using numerical Green's functions: a comparative study for the scalar wave equation
• Dynamic representation formulas and fundamental solutions for piezoelectricity
• An efficient time-domain FEM/BEM coupling approach based on FEM implicit Green's functions and truncation of BEM time convolution process
• On the numerical stability of time-domain elastodynamic analyses by BEM
• Explicit time integration algorithms for structural dynamics with optimal numerical dissipation
• A new visco- and elastodynamic time domain boundary element formulation
• ``Causal shape functions in the time domain boundary element method
• 3-D and 2-D dynamic Green's functions and time-domain bies for piezoelectric solids
• Application of hierarchical matrices to boundary element methods for elastodynamics based on Green's functions for a horizontally layered halfspace
• Explicit time-domain approaches based on numerical Green's functions computed by finite differences the ExGa family
• Fundamental Solutions in Elastodynamics
• A boundary element formulation to solve transient dynamic elastoplastic problems
• Dynamic Green’s functions in anisotropic piezoelectric, thermoelastic and poroelastic solids
• A time domain FEM approach based on implicit Green's functions for non-linear dynamic analysis

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