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TOPOLOGY OPTIMIZATION OF COUPLED THERMOMECHANICAL ANALYSIS FOR ADDITIVE MANUFACTURING

机译:添加剂制造耦合热机械分析的拓扑优化

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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:过去三十年来开发了拓扑优化方法,以优化复合部件的结构设计。现在可以用诸如大规模聚合物复合材料沉积的添加剂制造技术来制造从拓扑优化产生的复杂结构。然而,大规模的聚合物复合沉积产生具有各向异性材料特性的支撑。这种定向厌恶影响了部分的结构响应和结构在印刷过程中的行为,其中热应力可以导致不可接受的失真。本文介绍了一种拓扑优化方法,介绍了产品在使用过程中的结构响应以及其制造业的印刷过程。基于有限的基于元素的拓扑优化算法是为了在弱耦合的热机械载荷和各向异性材料特性下进行模拟结构。使用伴随耦合的热机械系统的伴随变量方法评估设计衍生物。基于最优标准的算法在材料密度和方向上最大化了二维设计空间的刚度。我们考虑一种稳态热响应,其中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,并延长设计依赖性温度场的弱耦合热机械系统的拓扑优化。给出了示例以证明我们提出的弱耦合系统拓扑优化。

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