On variational sensitivity analysis and configurational mechanics

DOI10.1007/s00466-007-0223-5zbMath1162.74423OpenAlexW2012350658MaRDI QIDQ1021117

Daniel Materna, Franz-Joseph Barthold

Publication date: 8 June 2009

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

Full work available at URL: https://doi.org/10.1007/s00466-007-0223-5

zbMATH Keywords

shape optimizationmesh optimizationconfigurational mechanicsvariational sensitivity analysis

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Energy minimization in equilibrium problems in solid mechanics (74G65) Compliance or weight optimization in solid mechanics (74P05)

Related Items (8)

Nonlinear reanalysis for structural modifications based on residual increment approximations ⋮ An integrated approach to shape optimization and mesh adaptivity based on material residual forces ⋮ ``Bubble-and-grain method and criteria for optimal positioning inhomogeneities in topological optimization ⋮ Regularization of shape optimization problems using FE-based parametrization ⋮ The inner structure of sensitivities in nodal based shape optimisation ⋮ Remarks on variational shape sensitivity analysis based on local coordinates ⋮ Goal-oriented \(r\)-adaptivity based on variational arguments in the physical and material spaces ⋮ Two-scale shape optimisation based on numerical homogenisation techniques and variational sensitivity analysis

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