A NEW STRESS BASED TOPOLOGY OPTIMIZATION METHOD TO PREVENT STATIC AND DYNAMIC FAILURES OF DUCTILE OR BRITTLE MATERIAL

A NEW STRESS BASED TOPOLOGY OPTIMIZATION METHOD TO PREVENT STATIC AND DYNAMIC FAILURES OF DUCTILE OR BRITTLE MATERIAL

Jeong, S.H.; Choi, D. H.; Yoon, G. H.

Full Article:

A new stress-based topology optimization method (STOM) is developed in order to consider various static failure criteria such as the maximum shear stress (MSS) theory, the brittle Coulomb-Mohr (DCM) theory, and the modified Mohr (MM) theory. Because of non-differentiability of failure criteria of these static failure theories, it seems that a successfull topology optimization (TO) method considering the static failure has not been proposed yet. In order to solde TO problem which minimize the usage of material subject to the non-differentiable static failure criteri, we formulate the differentiable failure criteria by using maximum and minimum operators. For a stable TO process, the p-norm stress measure approximating the maximum value of the stress norms and the adjustment parameter in the segregated design domain are implemented. Furthermore, a preliminary research considering the dynamic fatigue failure in the framework of the modified Goodman theory is presented. The validity and usefulness of the present STOM are demonstrated by solving typical TO benchmark problems.

A new stress-based topology optimization method (STOM) is developed in order to consider various static failure criteria such as the maximum shear stress (MSS) theory, the brittle Coulomb-Mohr (DCM) theory, and the modified Mohr (MM) theory. Because of non-differentiability of failure criteria of these static failure theories, it seems that a successfull topology optimization (TO) method considering the static failure has not been proposed yet. In order to solde TO problem which minimize the usage of material subject to the non-differentiable static failure criteri, we formulate the differentiable failure criteria by using maximum and minimum operators. For a stable TO process, the p-norm stress measure approximating the maximum value of the stress norms and the adjustment parameter in the segregated design domain are implemented. Furthermore, a preliminary research considering the dynamic fatigue failure in the framework of the modified Goodman theory is presented. The validity and usefulness of the present STOM are demonstrated by solving typical TO benchmark problems.

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DOI: 10.5151/meceng-wccm2012-18416

Referências bibliográficas

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Como citar:

Jeong, S.H.; Choi, D. H.; Yoon, G. H.; "A NEW STRESS BASED TOPOLOGY OPTIMIZATION METHOD TO PREVENT STATIC AND DYNAMIC FAILURES OF DUCTILE OR BRITTLE MATERIAL", p-1424-1431. In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 23580828, DOI 10.5151/meceng-wccm2012-18416