多级仿生建模及优化技术
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摘要
针对增材制造模型高硬度和高抗断裂韧性不可共存的问题,受自然界多级生物体结构的启发,提出了一种多级晶格结构建模方法。设计了具有一定力学特性的晶格模型族,对多级体空间进行分级填充,采用等值面几何建模算法实现了晶格间的过渡连接与梯度设计;通过图片映射的方法,利用有限元分析结果来驱动晶格结构的孔隙率、尺寸等参数,多次迭代获得满足生物力学特性的模型。试验验证了该方法可以较好地控制多级晶格的弹性模量及其抗断裂韧性。将该方法运用到牙齿的设计中,取得了良好的效果。
Aimmed at the non-coexistence problems between high hardness and high fracture of the objects produced by additive manufacturing methods. Inspired by the multilevel structures in nature, a multilevel lattice structure modeling methodology was proposed. Firstly, a family of multi lattices with specific mechanical properties was established. Secondly, different lattices were filled in multistage space. Isosurface geometry modeling algorithm was used to achieve transitional connection between the lattices and gradient design. Thirdly, the FEA(finite element analysis) results were used to actuate the porosity and size of lattice structures by using image mapping method. An object which could satisfy biomechanics properties was obtained through multiple iterations. Finally, the experimental results validate this method may well control the elastic modulus and impact toughness. Moreover, this method was applied to the design of teeth, and achieves good results.
Aimmed at the non-coexistence problems between high hardness and high fracture of the objects produced by additive manufacturing methods. Inspired by the multilevel structures in nature, a multilevel lattice structure modeling methodology was proposed. Firstly, a family of multi lattices with specific mechanical properties was established. Secondly, different lattices were filled in multistage space. Isosurface geometry modeling algorithm was used to achieve transitional connection between the lattices and gradient design. Thirdly, the FEA(finite element analysis) results were used to actuate the porosity and size of lattice structures by using image mapping method. An object which could satisfy biomechanics properties was obtained through multiple iterations. Finally, the experimental results validate this method may well control the elastic modulus and impact toughness. Moreover, this method was applied to the design of teeth, and achieves good results.
引文
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[2] TAKABI B,TAI B L.A Review of Cutting Mechanics and Modeling Techniques for Biological Materials[J].Medical Engineering & Physics,2017,45:1-14.
[3] SIGMUND O,TORQUATO S.Design of Smart Composite Materials Using Topology Optimization[J].Smart Materials & Structures,1999,8(3):365-366.
[4] ARMILLOTTA A,PELZER R.Modeling of Porous Structures for Rapid Prototyping of Tissue Engineering Scaffolds[J].International Journal of Advanced Manufacturing Technology,2008,39(5/6):501-511.
[5] GARCIA C R.3D Printed Spatially Variant Anisotropic Metamaterials[M].Richardson:The University of Texas at el Paso,2014.
[6] SCHUMACHER C,BICKEL B,RYS J,et al.Microstructures to Control Elasticity in 3D Printing[J].ACM Transactions on Graphics (TOG),2015,34(4):136.
[7] XU S,SHEN J,ZHOU S,et al.Design of Lattice Structures with Controlled Anisotropy[J].Materials & Design,2016,93:443-447.
[8] ANDREASSEN E,LAZAROV BS,SIGMUND O.Design of Manufacturable 3D Extremal Elastic Microstructure[J].Mechanics of Materials,2014,69(1):1-10.
[9] YANG X Y,HUANG X,RONG J H,et al.Design of 3D Orthotropic Materials with Prescribed Ratios for Effective Young's Moduli[J].Computational Materials Science,2013,67:229-237.
[10] PATZAK B,RYPL D.Object-oriented,Parallel Finite Element Framework with Dynamic Load Balancing[J].Advanced in Engineering Software,2012,47(1):35-50.
[11] LU C,XU L,JIA J.Contrast Preserving Decolorization[C]//2012 IEEE International Conference on Computational Photography (ICCP).New York:IEEE,2012:1-7.
[12] CHEN S,GUAN J,LEVINE MD,et al.Elaboration of Energy Saving Renovation Measures for Urban Existing Residential Buildings in North China Based on Simulation and Site Investigations[J].Building Simulation,2013,6(2):113-25.
[13] SONG E F,XIANG Q,REN K M,et al.Clinical Effect and Action Mechanism of Weicao Capsule(威草胶囊)in Treating Gout[J].Chinese Journal of Integrative Medicine,2008,14(2):103-6.
[14] IVANCIK J,MAJD H,BAJAJ D,et al.Contributions of Aging to the Fatigue Crack Growth Resistance of Human Dentin[J].Acta Biomaterialia,2012,8(7):2737.
[15] GILBERT C,PAULINE S,RADOVAN K,et al.Digital Engineering of Bio-adaptable Dental Implants[J].Implant Dentistry—a Rapidly Evolving Practice,2011,10:251-266.