A boundary element approach for recovery of shape sensitivities in three- dimensional elastic solids

DOI10.1016/0045-7825(89)90087-XzbMath0711.73266OpenAlexW2091375385MaRDI QIDQ922843

Elsie Sterbin Gottlieb

Publication date: 1989

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(89)90087-x

zbMATH Keywords

three-dimensional shape optimizationdesign sensitivitiesinfinite elastic soliddisplacement sensitivitiessingular integration schemesstraightforward numerical integration proceduresstress sensitivitiestriaxial ellipsoidal cavity

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Stress concentrations, singularities in solid mechanics (74G70) Optimization problems in solid mechanics (74P99)

Related Items (12)

An algorithm for handling corners in the boundary element method: Application to conduction-convection equations ⋮ Optimal design of nonlinear parabolic systems. II: Variable spatial domain with applications to casting optimization ⋮ Comparison of shape design sensitivity analysis formulations via material derivative-adjoint variable and implicit differentiation techniques for 3-D and 2-D curved boundary element ⋮ Implementation of regularized isogeometric boundary element methods for gradient‐based shape optimization in two‐dimensional linear elasticity ⋮ Shape sensitivity and optimization for transient heat diffusion problems using the bem ⋮ Shape optimization with hybrid-Trefftz displacement elements ⋮ Second-order design sensitivity analysis for linear elastic problems by the derivative boundary element method ⋮ Sensitivity analysis scheme of boundary value problem of 2D Poisson equation by using trefftz method ⋮ A new inverse analysis approach for multi-region heat conduction BEM using complex-variable-differentiation method ⋮ Boundary element based formulations for crack shape sensitivity analysis ⋮ Error estimation and adaptive mesh refinement in boundary element method, an overview ⋮ A new sensitivity analysis scheme for coupled vibro-acoustic system using wave based method

Cites Work

• Design sensitivity analysis of structural systems
• A new method for evaluating singular integrals in stress analysis of solids by the direct boundary element method
• Direct computation of Cauchy principal value integrals in advanced boundary elements
• Boundary integral equation method for shape optimization of elastic structures
• On the numerical evaluation of two-dimensional principal value integrals
• Optimal arrangement of holes in a two-dimensional heat conductor by a special boundary integral method
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