Finite element methods for coupled thermoelasticity and coupled consolidation of clay

DOI10.1051/M2AN/1984180201831zbMath0539.73005OpenAlexW2526872445MaRDI QIDQ3327873

Alexander Ženíšek

Publication date: 1984

Published in: RAIRO. Analyse numérique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/1984180201831

zbMATH Keywords

ellipticexistencehyperbolicspatial domaindynamical thermoelasticityconsolidation of claydependent variables being the displacements and temperaturedisplacements and pore water pressurefinite element triangulation of the Hermitean typelinear and coupled two-dimensional problemsmaximum rate of convergencequasistatical thermoelasticitytime domain is approximated by means of the Newmark method

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Variational methods applied to PDEs (35A15) Soil and rock mechanics (74L10) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30) Numerical and other methods in solid mechanics (74S99)

Related Items (10)

The existence and uniqueness theorem in Biot's consolidation theory ⋮ Finite element method for the reconstruction of a time-dependent heat source in isotropic thermoelasticity systems of type-III ⋮ Unnamed Item ⋮ On the structure preserving high-order approximation of quasistatic poroelasticity ⋮ Recovery of a time-dependent heat source in one-dimensional thermoelasticity of type-III ⋮ Regularized coupling multiscale method for thermomechanical coupled problems ⋮ Uniformly well-posed hybridized discontinuous Galerkin/hybrid mixed discretizations for Biot's consolidation model ⋮ Unnamed Item ⋮ Diffusion in poro-elastic media ⋮ Analysis of approximate solutions of coupled dynamical thermoelasticity and related problems

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