The topology optimization design for cracked structures. (September 2015)

• Record Type: Journal Article
• Authors: Shobeiri, Vahid
• Is Part Of: Engineering analysis with boundary elements. Volume 58(2015:Sep.)
• Page Start: 26
• Page End: 38
• Publication Date: 2015-09
• Subjects: Topology optimization -- Cracked structures -- Element free Galerkin method (EFG) -- Bi-directional evolutionary structural optimization (BESO); Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2015.03.002
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: In this paper, the element free Galerkin method (EFG) is proposed for topology optimization of cracked structures using the bi-directional evolutionary structural optimization method (BESO). The mathematical formulation of the topology optimization is developed considering the nodal strain energy as the design variable and the minimization of compliance as the objective function. The element free Galerkin method is enriched by the crack-tip enrichment functions to increase the approximation accuracy near the crack-tip. The Lagrange multiplier method is employed to enforce the essential boundary conditions. Several numerical examples are presented to show the effectiveness of the proposed method. Many issues related to topology optimization of cracked structures such as the effects of crack size and location on the optimal topology are addressed in the examples. The common numerical instabilities do not exist in the results.