Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 329, Issue -, Pages 1-23Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2017.09.001
Keywords
Topology optimization; Stress minimization; Stress constraints; Level set method
Funding
- European Office of Aerospace Research of the US Air Force Office of Scientific Research [FA8655-13-1-3056]
- Engineering and Physical Sciences Research Council [EP/M002322/2]
- EPSRC [EP/M002322/2] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/M002322/2] Funding Source: researchfish
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This paper proposes a level set method to solve minimum stress and stress-constrained shape and topology optimization problems. The method solves a sub-optimization problem every iteration to obtain optimal boundary velocities. A p-norm stress functional is used to aggregate stresses in a single constraint. The shape sensitivity function is derived and a computational procedure based on a least squares interpolation approach is devised in order to compute sensitivities at the boundaries. Adaptive constraint scaling is used to enforce exact control of stress limits. Numerical results show that the method is able to solve the problem efficiently for single and multiple load cases obtaining solutions with smooth boundaries. (C) 2017 The Authors. Published by Elsevier B.V.
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