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| A topology optimization method for shape memory alloy structures |
| Received:May 15, 2021 Revised:June 15, 2021 |
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| DOI：10.7511/jslx20210515406 |
| KeyWord:shape memory alloy topology optimization material and geometric nonlinearity mechanical properties optimization |
| Author | Institution |
| 朱继宏 |
西北工业大学 航宇材料结构一体化设计与增材制造装备技术国际联合研究中心, 西安 ;西北工业大学 金属高性能增材制造与创新设计工信部重点实验室, 西安 ;西北工业大学 无人系统技术研究院-智能材料与结构研究所, 西安 |
| 韦畅 |
西北工业大学 航宇材料结构一体化设计与增材制造装备技术国际联合研究中心, 西安 |
| 侯杰 |
西北工业大学 航宇材料结构一体化设计与增材制造装备技术国际联合研究中心, 西安 ;西北工业大学 金属高性能增材制造与创新设计工信部重点实验室, 西安 |
| 杨开科 |
中国工程物理研究院 激光聚变研究中心, 绵阳 |
| 谷小军 |
西北工业大学 航宇材料结构一体化设计与增材制造装备技术国际联合研究中心, 西安 ;西北工业大学 金属高性能增材制造与创新设计工信部重点实验室, 西安 ;西北工业大学 无人系统技术研究院-智能材料与结构研究所, 西安 |
| 张卫红 |
西北工业大学 航宇材料结构一体化设计与增材制造装备技术国际联合研究中心, 西安 ;西北工业大学 金属高性能增材制造与创新设计工信部重点实验室, 西安 |
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| Abstract: |
| Shape memory alloy (SMA) has drawn wide attention due to its excellent mechanical properties, and has been innovatively applied in many fields. In order to improve mechanical properties of SMA structures, a topology optimization method based on solid isotropic materials with penalization (SIMP) was proposed. The ZM model was adopted, and the elastic modulus of austenite and martensite as well as the phase change yield stresses of intermediate density materials introduced during the topology optimization process are interpolated. In order to obtain accurate mechanical responses, the material nonlinearity effect and geometric nonlinearity effect are considered. The three-field scheme are used to avoid checkerboarding patterns, mesh-dependency issues and intermediate density elements in the final results. The super element method is used to avoid the numerical instability caused by low density elements in nonlinear finite element analysis. Sensitivities are calculated via adjoint method. Finally, 2D and 3D numerical examples are presented to demonstrate the effectiveness of the proposed optimization method. The results show that the SMA structures with expected performance can be designed by the topology optimization framework proposed in this paper. |
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