Topology Optimization of Strut and Tie Structures with Multiple Tensile/compressive Asymmetry Materials

doi:10.3901/JME.2025.09.449

Abstract

Abstract: Composite materials composed of materials with different tensile and compressive properties are widely used in practical engineering, however, there are few studies on the topology optimization design of tensile/compressive structures composed of such materials, and in-depth research is urgently needed. A topology optimization method for tension/compression structures based on a four phase material model consisting of pure tension, pure compression, orthotropic materials, and void property materials. is proposed. The method adopts a hybrid stress element discrete design domain and establishes a criterion for determining the tension/compression state of elements based on principal stress values and tension/compression tolerances. This can more accurately identify the tension/compression state of elements and achieve material distribution based on element stress states. For the design of multiple load cases, a method for determining the element tensile/compressive state under multiple load cases based on the tolerance limit of tensile/compressive strain energy difference is constructed. The use of four phase materials models for tensile/compressive structural design can achieve better performance design results. The effectiveness of proposed method is verified through several numerical examples, as well as the influence of various parameters, boundary conditions, and multiple load conditions on the design results.

Key words: topology optimization, tension/compression asymmetric material, principal stress, composite structures, hybrid stress element

CLC Number:

TG156

CAI Jinhu, RONG Jianhua, DING Huibing, ZHAO Lei, ZHANG Mingjun, ZHAO Zhijun. Topology Optimization of Strut and Tie Structures with Multiple Tensile/compressive Asymmetry Materials[J]. Journal of Mechanical Engineering, 2025, 61(9): 449-460.

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