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| Topology optimization of hyperelastic structures via Moving Morphable Void (MMV) approach |
| Received:July 02, 2018 Revised:November 07, 2018 |
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| DOI：10.7511/jslx20180702001 |
| KeyWord:topology optimization Moving Morphable Void (MMV) B-spline hyperelastic structure |
| Author | Institution |
| 薛日野 |
大连理工大学 工程力学系, 工业装备结构分析国家重点实验室, 国际计算力学研究中心, 大连 |
| 杜宗亮 |
大连理工大学 工程力学系, 工业装备结构分析国家重点实验室, 国际计算力学研究中心, 大连 |
| 郭旭 |
大连理工大学 工程力学系, 工业装备结构分析国家重点实验室, 国际计算力学研究中心, 大连 |
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| Abstract: |
| Existing implicit topology optimization methods have many issues in design of hyperelastic structures,such as the large number of design variables,convergence difficulties in finite element analysis of intermediate designs,inconsistency between the optimized designs and CAD/CAE systems.In order to overcome such issues,an explicit topology optimization method is proposed based on Moving Morphable Void (MMV) to design hyperelastic structures undergoing large deformation.The hyperelasticity is characterized by the widely-adopted Mooney-Rivlin material model.Firstly,both the basic idea underpinning the MMV-based approach and the explicit description of the morphable voids are introduced.Secondly,the mathematical formulation and the corresponding sensitivity results for the optimal design of hyperelastic structures are presented.Finally,a numerical example demonstrates the effectiveness of the proposed approach.It is verified that,by using fewer design variables,through a robust and stable optimization process,optimized hyperelastic structures with B-spline-described boundaries,which can be transferred to the CAD/CAE system directly,can be obtained by the proposed approach. |
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