Topology optimization of hyperelastic bodies including non-zero prescribed displacements

Authors:
Anders Klarbring;Niclas Strömberg
Affiliations:
Mechanics, Department of Management and Engineering, The Institute of Technology, Linköping University, Linköping, Sweden 581 83;Department of Mechanical Engineering, Jönköping University, Jönköping, Sweden 551 11
Venue:
Structural and Multidisciplinary Optimization
Year:
2013

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Abstract

Stiffness topology optimization is usually based on a state problem of linear elasticity, and there seems to be little discussion on what is the limit for such a small rotation-displacement assumption. We show that even for gross rotations that are in all practical aspects small (