A finite element method for plane strain deformations of incompressible solids

DOI10.1016/0045-7825(78)90025-7zbMath0379.73078OpenAlexW2082302067MaRDI QIDQ1247231

K. Appert

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0045-7825(78)90025-7

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Elastic materials (74B99) Numerical methods for partial differential equations, boundary value problems (65N99)

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Finite element analyses of three-dimensional fully plastic solutions using quasi-nonsteady algorithm and tetrahedral elements, Finite difference modeling of phase changes and localization in elasticity, Recent finite element studies in plasticity and fracture mechanics, Isochoric constant strain finite elements, A priori identification of shear locking and stiffening in triangular Mindlin elements, Some applications of the finite element method to nonlinear fracture mechanics, Semi-analytical expressions to describe stress fields near the tip of mode-I crack under plane-strain conditions, Neural network‐based parameter estimation for non‐linear finite element analyses

Cites Work

• Fully plastic crack problems: the center-cracked strip under plane strain
• A finite element displacement model valid for any value of the compressibility
• Linear systems with a large number of sparse constraints with applications to incompressible materials
• Isochoric constant strain finite elements
• Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
• On numerically accurate finite element solutions in the fully plastic range
• Large natural strains and some special difficulties due to non-linearity and incompressibility in finite elements
• Stresses in nearly incompressible materials by finite elements with application to the calculation of excess pore pressures
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