| 考虑材料各向异性的熔丝制造PLA点阵结构弹性各向同性设计 |
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| 引用本文： | 王书恒,戴时,吴鑫伟,马永彬,邓子辰.考虑材料各向异性的熔丝制造PLA点阵结构弹性各向同性设计[J].力学学报,2022,54(5):1291-1302. |
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| 作者姓名： | 王书恒 戴时 吴鑫伟 马永彬 邓子辰 |
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| 作者单位： | 西北工业大学工程力学系, 西安 710129 |
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| 基金项目： | 国家自然科学基金资助项目（12072266,12072280）； |
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| 摘 要： | 增材制造技术的兴起激发了国内外学者对结构创新设计的热情. 然而, 增材制造材料的各向异性为结构力学性能的预测与设计带来了一定的困难. 为了准确预测熔丝制造聚乳酸(PLA)材料和点阵结构的弹性性能, 并实现点阵结构的弹性各向同性设计, 首先, 本文采用正交各向异性弹性模型来描述PLA材料的弹性行为, 通过实验和计算得到了正交各向异性模型需要的9个独立的弹性常数. 然后, 设计了一种力学性能可调的二维组合桁架点阵结构, 基于代表体元法, 在不考虑材料各向异性的情况下推导出了其平面内等效弹性性能的解析表达式及弹性各向同性条件. 最后, 根据PLA材料的各向异性调整点阵结构内部杆件的弹性模量和厚度, 并基于代表体元法重新推导出了点阵结构平面内等效弹性性能的解析表达式及其弹性各向同性条件. 研究结果表明, 正交各向异性弹性模型适用于描述熔丝制造PLA材料的弹性行为, 基于该模型能够准确预测PLA材料在任意方向上的弹性模量. 在预测与设计熔丝制造点阵结构的力学性能时需要充分考虑材料的各向异性. 在考虑材料的各向异性之后, 基于代表体元法调整点阵结构的几何尺寸, 能够实现部分点阵结构的弹性各向同性设计.
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| 关 键 词： | 熔丝制造 正交各向异性 点阵结构 代表体元法 弹性各向同性设计 |
| 收稿时间： | 2022-01-16 |
DESIGN OF ELASTICALLY ISOTROPIC PLA LATTICE STRUCRURE IN FUSED FILAMENT FABRICATION CONSIDERING MATERIAL ANISOTROPY |
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| Wang Shuheng,Dai Shi,Wu Xinwei,Ma Yongbin,Deng Zichen.DESIGN OF ELASTICALLY ISOTROPIC PLA LATTICE STRUCRURE IN FUSED FILAMENT FABRICATION CONSIDERING MATERIAL ANISOTROPY[J].chinese journal of theoretical and applied mechanics,2022,54(5):1291-1302. |
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| Authors: | Wang Shuheng Dai Shi Wu Xinwei Ma Yongbin Deng Zichen |
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| Affiliation: | Department of Engineering Mechanics, Northwestern Polytechnical University, Xi’an 710129, ChinaMIIT Key Laboratory of Dynamics and Control of Complex Systems, Xi’an 710072, China |
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| Abstract: | The rise of additive manufacturing technology stimulates researchers' enthusiasm for structural innovative design. However, the anisotropy of additive manufactured materials poses certain difficulties for the prediction and design of structural mechanical properties. To accurately predict the elastic properties of polylactic acid (PLA) materials and lattice structures made in fused filament fabrication and realize the elastically isotropic design of lattice structures, firstly, this paper adopts an orthogonal anisotropic elastic model to describe the elastic behavior of the PLA materials, and obtains the nine independent elastic constants needed for the orthogonal anisotropic model through experiments and calculations. Then, a 2D compound truss lattice structure with tunable mechanical properties is designed, and its analytical expressions for the in-plane effective elastic properties and elastic isotropy condition are derived based on the representative volume element (RVE) method without considering the material anisotropy. Finally, the elastic modulus and thickness of the struts in the lattice structure are adjusted according to the anisotropy of the PLA material, and the analytical expressions of the in-plane elastic properties and elastic isotropy condition of the lattice structur are derived based on the RVE method. The results show that the orthogonal anisotropic elastic model is suitable for describing the elastic behavior of fused filament fabricated PLA materials, and the elastic modulus of PLA materials in arbitrary direction can be accurately predicted based on this model. The anisotropy of the material needs to be fully considered when predicting and designing the mechanical properties of the fused filament fabricated lattice structures. After considering the material anisotropy, the elastic isotropy design of part of lattice structures can be realized by adjusting their geometric sizes based on the RVE method. |
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