Non-hyper-singular integral-representations for velocity (displacement) gradients in elastic/plastic solids (small or finite deformations)

DOI10.1007/BF00296664zbMath0668.73040OpenAlexW1997192355MaRDI QIDQ1118451

Hiroshi Okada, Satya N. Atluri, Harindra Rajiyah

Publication date: 1989

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00296664

zbMATH Keywords

boundary of the domaininterior of the domaintwo tier system of evaluation of deformation gradients

Mathematics Subject Classification ID

Plastic materials, materials of stress-rate and internal-variable type (74C99) Elastic materials (74B99) Integral equations with kernels of Cauchy type (45E05) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (10)

EVALUATION OF THE STRESS TENSOR IN 3-D ELASTOPLASTICITY BY DIRECT SOLVING OF HYPERSINGULAR INTEGRALS ⋮ Evaluation of nearly singular integrals in isogeometric boundary element method ⋮ Weakly-singular symmetric Galerkin boundary element method in thermoelasticity for the fracture analysis of three-dimensional solids ⋮ Dynamic stress concentration for multiple multilayered inclusions embedded in an elastic half-space subjected to SH-waves ⋮ A boundary element technique for incremental, nonlinear elasticity. I: Formulation. ⋮ 3D elastodynamic crack analysis by a non-hypersingular BIEM ⋮ Evaluation of the stress tensor in 3D elastostatics by direct solving of hypersingular integrals ⋮ A boundary integral equation approach for the calculation of gradients and higher order derivatives in solid mechanics problems ⋮ Accuracy of desingularized boundary integral equations for plane exterior potential problems ⋮ A boundary element analysis of axisymmetric upsetting

Cites Work

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• Post-buckling analysis of shallow shells by the field-boundary-element method
• Direct computation of Cauchy principal value integrals in advanced boundary elements
• Integral equation methods in potential theory. I
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