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Bounds on elastic energy in solids of orthotropic materials

Bounds on elastic energy in solids of orthotropic materials Elastic energy is the measure for the overall stiffness/flexibility of a solid. For orthotropic materials, a combined finite element/optimization procedure is described, by which the orientation field of the most stiff/flexible solid can be determined. A study of these bounds for possible materials is performed and more general insight obtained. Recent analytical results from sensitivity analysis are applied and the paper also adds to theoretical aspects, such as proving coinciding directions for principal strains and principal stresses, even with different (but optimal) principal directions of the material. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Structural and Multidisciplinary Optimization Springer Journals

Bounds on elastic energy in solids of orthotropic materials

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References (5)

Publisher
Springer Journals
Copyright
Copyright © 1990 by Springer-Verlag
Subject
Engineering; Theoretical and Applied Mechanics; Computational Mathematics and Numerical Analysis; Engineering Design
ISSN
1615-147X
eISSN
1615-1488
DOI
10.1007/BF01743521
Publisher site
See Article on Publisher Site

Abstract

Elastic energy is the measure for the overall stiffness/flexibility of a solid. For orthotropic materials, a combined finite element/optimization procedure is described, by which the orientation field of the most stiff/flexible solid can be determined. A study of these bounds for possible materials is performed and more general insight obtained. Recent analytical results from sensitivity analysis are applied and the paper also adds to theoretical aspects, such as proving coinciding directions for principal strains and principal stresses, even with different (but optimal) principal directions of the material.

Journal

Structural and Multidisciplinary OptimizationSpringer Journals

Published: May 5, 2005

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