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TOPOLOGY OPTIMIZATION OF COUPLED THERMOMECHANICAL ANALYSIS FOR ADDITIVE MANUFACTURING

机译:增材制造耦合热力学分析的拓扑优化。

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Topology optimization methods have been developed over the past three decades to optimize the structural design of composite parts. It is now possible to fabricate complex structures generated from topology optimization with additive manufacturing techniques such as large-scale polymer composite deposition. However, large-scale polymer composite deposition produces strutures with anisotropic material properties. This directional orienation affects the structural response of the part and the structure’s behavior during the printing process where thermal stress can led to unacceptable distortion. This paper presents a topology optimization approach that considers the structural response of the product during its use and the printing process employed in its manufacturing. A finite element-based topology optimization algorithm is developed to model structures under weakly coupled thermomechanical loads and anisotropic material properties. Design derivatives are evaluated using the adjoint variable method for the weakly coupled thermal-mechanical system. An optimality criterion-based algorithm maximizes the stiffness of a two-dimensional design space over material density and direction. We consider a steady-state thermal response where the resulting thermal stresses are included in the mechanical optimization. This weakly coupled thermal analysis and material direction optimization includes the anisotropic Young’s modulus and thermal stresses present in large-scale polymer deposition and extends topology optimization to weakly coupled thermomechanical systems with design-dependent temperature fields. Examples are given to demonstrate our proposed weakly coupled system topology optimization.
机译:在过去的三十年中,已经开发出拓扑优化方法来优化复合零件的结构设计。现在,可以利用诸如大规模聚合物复合材料沉积之类的增材制造技术来制造从拓扑优化生成的复杂结构。但是,大规模的聚合物复合材料沉积会产生具有各向异性材料特性的结构。这种方向性会影响零件的结构响应和打印过程中的结构行为,在打印过程中,热应力会导致不可接受的变形。本文提出了一种拓扑优化方法,该方法考虑了产品在使用过程中的结构响应以及在制造过程中采用的印刷过程。开发了一种基于有限元的拓扑优化算法,以对弱耦合热机械载荷和各向异性材料特性下的结构进行建模。对于弱耦合热力机械系统,使用伴随变量方法评估设计导数。基于最优标准的算法可在材料密度和方向上最大化二维设计空间的刚度。我们考虑稳态热响应,其中所产生的热应力包括在机械优化中。这种弱耦合的热分析和材料方向优化包括大规模聚合物沉积中存在的各向异性杨氏模量和热应力,并将拓扑优化扩展到具有依赖于设计的温度场的弱耦合热机械系统。举例说明了我们提出的弱耦合系统拓扑优化。

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