Remarks on variational shape sensitivity analysis based on local coordinates

DOI10.1016/j.enganabound.2007.09.007zbMath1244.74109OpenAlexW2015248128MaRDI QIDQ443356

Franz-Joseph Barthold

Publication date: 7 August 2012

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2007.09.007

zbMATH Keywords

sensitivity analysissingular value decompositiondifferentiable manifoldslocal coordinatescontinuum mechanicsshape optimisationfictitious loadconvected coordinatesintrinsic conceptintrinsic coordinatespseudo load

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Finite element methods applied to problems in solid mechanics (74S05) Optimization problems in solid mechanics (74P99)

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Cites Work

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• A new mathematical theory of simple materials
• Variational design sensitivity analysis in the context of structural optimization and configurational mechanics
• On variational sensitivity analysis and configurational mechanics
• Design sensitivity analysis of structural systems
• Manifolds, tensor analysis, and applications.
• Mathematical biology. Vol. 1: An introduction.
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Design sensitivity analysis of structures based upon the singular value decomposition
• Configuration forces as basic concepts of continuum physics
• Mechanics of material forces. Proceedings of the EUROMECH colloquium 445 on mechanics of material forces, Kaiserslautern, Germany, May 21--24, 2003.
• An exposition of the material derivative approach for structural shape sensitivity analysis
• A systematic approach to shape sensitivity analysis
• A frame-free formulation of elasticity
• A Structural Optimization Viewpoint on Configurational Mechanics
• Consistent linearization in mechanics of solids and structures
• Mechanics in Material Space