Compatibility condition in theory of solid mechanics (Elasticity, structures, and design optimization)

DOI10.1007/S11831-007-9011-9zbMath1170.74388OpenAlexW2056703100WikidataQ113323963 ScholiaQ113323963MaRDI QIDQ841705

Dale A. Hopkins, Surya N. Patnaik, Shantaram S. Pai

Publication date: 18 September 2009

Published in: Archives of Computational Methods in Engineering (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2060/20070021749

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Thin bodies, structures (74K99) Optimization problems in solid mechanics (74P99) Numerical and other methods in solid mechanics (74S99)

Uses Software

• HSL

Cites Work

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• A Note on the Conditions of Compatibility
• The integrated force method versus the standard force method
• The variational energy formulation for the integrated force method
• Gradients of behaviour constraints and reanalysis via the integrated force method
• Integrated force method versus displacement method for finite element analysis
• Modified fully utilized design (MFUD) method for stress and displacement constraints
• Completed Beltrami-Michell formulation for analyzing mixed boundary value problems in elasticity
• A variational principle for the formulation of partitioned structural systems
• Fidelity of the integrated force method solution
• Singularity in structural optimization

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