Static and dynamic boundary element analysis in incompressible linear elasticity

DOI10.1016/S0997-7538(98)80058-2zbMath0929.74121WikidataQ127202974 ScholiaQ127202974MaRDI QIDQ1286040

D. Polyzos, Dimitrios E. Beskos, Stefanos V. Tsinopoulos

Publication date: 27 January 2000

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

zbMATH Keywords

Poisson ratiohydrostatic pressureelastostatics\(p\)-wavenumberfrequency domain elastodynamicsincompressible fundamental tensors

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items

A local domain boundary element method for solving 2D incompressible fluid flow problems ⋮ A new LBIE method for solving elastodynamic problems ⋮ Three-dimensional BEM for transient elastodynamics based on the velocity reciprocal theorem ⋮ A MLPG(LBIE) numerical method for solving 2D incompressible and nearly incompressible elastostatic problems ⋮ Time-harmonic Green's function and boundary integral formulation for incremental nonlinear elasticity: dynamics of wave patterns and shear bands ⋮ Numerical evaluation of strain gradients in classical elasticity through the boundary element method ⋮ Boundary contour analysis for surface stress recovery in 2-D elasticity and Stokes flow ⋮ Numerical determination of modal dispersion and AE signal characterization in waveguides through LBIE/BEM and time-frequency analysis ⋮ A novel boundary element approach to time-harmonic dynamics of incremental nonlinear elasticity: the role of pre-stress on structural vibrations and dynamic shear banding ⋮ ACA/BEM for solving large-scale cathodic protection problems ⋮ An analytic algorithm for shape reconstruction from low-frequency moments ⋮ Fast multipole boundary element method (FMM/BEM) for the solution of the Navier-Stokes in primitive variables based on the Burton and Miller formulation in two-dimensions ⋮ A symmetric Galerkin boundary/domain element method for finite elastic deformations ⋮ A MLPG(LBIE) approach in combination with BEM

Cites Work

• A finite element displacement model valid for any value of the compressibility
• Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
• Finite element analysis of incompressible material by residual energy balancing
• An assumed stress hybrid finite element method for an incompressible and nearincompressible material
• On a variational theorem for incompressible and nearly-incompressible orthotropic elasticity
• A variational principle for incompressible and nearly-incompressible anisotropic elasticity
• The use of orthogonal projections to handle constraints with applications to incompressible four‐node quadrilateral elements
• A conforming finite element method for two-dimensional incompressible elasticity
• A novel isoparametric finite element displacement formulation for axisymmetric analysis of nearly incompressible materials
• Incompressibility and axisymmetry: A modified mixed and penalty formulation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Static and dynamic boundary element analysis in incompressible linear elasticity