Free material optimumdesign of plates of pre-defined Kelvin moduli

Sławomir Adam Czarnecki , Tomasz Denis Lewiński , Tomasz Mariusz Łukasiak

Abstract

The first part of the present paper deals with optimal design of linearly elastic plates of the Kelvin moduli (or eigenvalues of the reduced elasticity tensor of plane stress) being distributed according to a given pattern. No isoperimetric condition is imposed. The case of two loading conditions is discussed. The optimal plate is characterized by the minimum value of the weighted sum of the compliances corresponding to the two kinds of loads. The problem is reduced to the equilibrium problem of a hyperelastic mixture of properties expressed in terms of two stress fields. Moreover, examples of microstructures corresponding to given sets of Kelvin moduli are constructed by solving the relevant inverse homogenization problem
Author Sławomir Adam Czarnecki IIB
Sławomir Adam Czarnecki,,
- The Institute of Civil Engineering
, Tomasz Denis Lewiński IIB
Tomasz Denis Lewiński,,
- The Institute of Civil Engineering
, Tomasz Mariusz Łukasiak IIB
Tomasz Mariusz Łukasiak,,
- The Institute of Civil Engineering
Pages38, 239-1 CD
Book 9th World Congress on Structural and Multidisciplinary Optimization. Book of abstracts, CD. WCSMO, 2011, ISSMO , 197 p.
Languageen angielski
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Citation count*4 (2018-07-13)
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