Topology optimization of shape memory polymer structures with programmable morphology
Topology optimization of shape memory polymer structures with programmable morphology
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DOI：
10.1007/s00158-020-02784-0
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发表时间：
2021-02
影响因子：
3.9
通讯作者：
Anurag Bhattacharyya;K. James
中科院分区：
文献类型：
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作者：
Anurag Bhattacharyya;K. James
我们提出了一种新的优化框架，通过结合形状记忆聚合物（SMPs）来优化设计具有记忆特性的结构。smp是一类能够承受和恢复施加变形的记忆材料。采用结合小应变加性分解的有限元分析方法，分析和预测了smp的温度依赖性记忆特性。有限元方法由粘弹性材料模型与温度相关的应变存储机制相结合，赋予了smp的特性。利用smp的热机械特性来驱动结构偏转，使其向目标形状变形。通过递归算法实现的时变伴随灵敏度公式用于计算拓扑优化算法所需的梯度。采用多材料拓扑优化和热-机械规划循环相结合的方法，在设计域内对主动和被动SMP材料进行优化分布。这使我们能够通过利用两种SMP材料的玻璃化转变温度的差异来定制结构的响应，以设计具有特定目标位移的结构。正演分析和灵敏度计算结合在基于petsc的优化框架中，可以实现有效的多功能、多材料结构设计和控制变形。
We present a novel optimization framework for optimal design of structures exhibiting memory characteristics by incorporating shape memory polymers (SMPs). SMPs are a class of memory materials capable of undergoing and recovering applied deformations. A finite-element analysis incorporating the additive decomposition of small strain is implemented to analyze and predict temperature-dependent memory characteristics of SMPs. The finite element method consists of a viscoelastic material modelling combined with a temperature-dependent strain storage mechanism, giving SMPs their characteristic property. The thermo-mechanical characteristics of SMPs are exploited to actuate structural deflection to enable morphing toward a target shape. A time-dependent adjoint sensitivity formulation implemented through a recursive algorithm is used to calculate the gradients required for the topology optimization algorithm. Multimaterial topology optimization combined with the thermo-mechanical programming cycle is used to optimally distribute the active and passive SMP materials within the design domain. This allows us to tailor the response of the structures to design them with specific target displacements, by exploiting the difference in the glass-transition temperatures of the two SMP materials. Forward analysis and sensitivity calculations are combined in a PETSc-based optimization framework to enable efficient multi-functional, multimaterial structural design with controlled deformations.