This work presents the structural topology optimization for maximizing the fracture resistance in brittle materials. Griffiths’s criteria underline the influence of crack propagation. A phase field for fracture (PF) approach derived from Griffith’s criteria is incorporated for the fracture process in the material, which is proven to be a computationally efficient method to deal with fracture problems. The topology evolution of structure was carried out by non-gradient optimization methodology, proportional topology optimization (PTO). The design variable controls the change of the material properties in the structural design domain using the Solid Isotropic Material with Penalty (SIMP) method. The proposed PF-PTO approach is fully implemented in MATLAB R2023b. For validation of the PF-PTO method, three numerical benchmark examples from the literature are analyzed to examine the optimum topologies of the structure. Furthermore, the effectiveness of the proposed method is confirmed by examining the structures compared with and without cracks. The suggested methodology of the combined PF-PTO algorithm is accurate and efficient in solving structural topology optimization problems in the presence of cracks.

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Structural Topology Optimization of Fractured Materials

  • Rakesh Kumar Tota,
  • Marco Paggi

摘要

This work presents the structural topology optimization for maximizing the fracture resistance in brittle materials. Griffiths’s criteria underline the influence of crack propagation. A phase field for fracture (PF) approach derived from Griffith’s criteria is incorporated for the fracture process in the material, which is proven to be a computationally efficient method to deal with fracture problems. The topology evolution of structure was carried out by non-gradient optimization methodology, proportional topology optimization (PTO). The design variable controls the change of the material properties in the structural design domain using the Solid Isotropic Material with Penalty (SIMP) method. The proposed PF-PTO approach is fully implemented in MATLAB R2023b. For validation of the PF-PTO method, three numerical benchmark examples from the literature are analyzed to examine the optimum topologies of the structure. Furthermore, the effectiveness of the proposed method is confirmed by examining the structures compared with and without cracks. The suggested methodology of the combined PF-PTO algorithm is accurate and efficient in solving structural topology optimization problems in the presence of cracks.