Free material optimumdesign of plates of pre-defined Kelvin moduli
Sławomir Adam Czarnecki , Tomasz Denis Lewiński , Tomasz Mariusz Łukasiak
AbstractThe 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
|Pages||38, 239-1 CD|
|Book||9th World Congress on Structural and Multidisciplinary Optimization. Book of abstracts, CD. WCSMO, 2011, ISSMO , 197 p.|
|Citation count*||4 (2018-02-23)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.