The paper deals with a formulation for the topology optimization of elastic structures that aims at minimizing the structural weight subject to compliance and local stress constraints. The global constraint provides the expected stiffness to the optimal design while a selected set of local requirements enforce feasibility with respect to the assigned strength of material. The Drucker–Prager failure criterion is implemented as a generalization of the von Mises yield function to cope with bodies that have different behavior in tension and compression. A suitable relaxation of the stress constraints is implemented to overcome the numerical difficulties related to the singularity problem. The achieved results show that the adoption of unequal stress limits in tension and compression considerably affects the topology of the optimal designs. This also points out the crucial role of stress–constrained formulations with respect to pure compliance–based strategies.

Stress-constrained topology optimization using the Drucker-Prager criterion

BRUGGI, MATTEO;
2011

Abstract

The paper deals with a formulation for the topology optimization of elastic structures that aims at minimizing the structural weight subject to compliance and local stress constraints. The global constraint provides the expected stiffness to the optimal design while a selected set of local requirements enforce feasibility with respect to the assigned strength of material. The Drucker–Prager failure criterion is implemented as a generalization of the von Mises yield function to cope with bodies that have different behavior in tension and compression. A suitable relaxation of the stress constraints is implemented to overcome the numerical difficulties related to the singularity problem. The achieved results show that the adoption of unequal stress limits in tension and compression considerably affects the topology of the optimal designs. This also points out the crucial role of stress–constrained formulations with respect to pure compliance–based strategies.
Atti del XX Congresso dell'Associazione Italiana di Meccanica Teorica e Applicata
9788890634000
topology optimization; stress constraints; Drucker–Prager failure criterion
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/632851
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