Development of consistent simulation methods for electrothermomechanically coupled systems

开发电热机械耦合系统的一致仿真方法

基本信息

  • 批准号:
    443238377
  • 负责人:
  • 金额:
    --
  • 依托单位:
  • 依托单位国家:
    德国
  • 项目类别:
    Research Grants
  • 财政年份:
    2020
  • 资助国家:
    德国
  • 起止时间:
    2019-12-31 至 2022-12-31
  • 项目状态:
    已结题

项目摘要

This proposal focuses on the development of consistent and efficient simulation methods for electrothermomechanically coupled systems. Finite deformations and nonlinear constitutive laws are assumed. In the funding phase, electrothermoviscoelastodynamically coupled systems will be investigated and efficient numerical methods will be developed. Examples of applications are electroactive polymers and dielectric elastomers in particular. Advanced consistent and efficient simulation methods can be obtained on the one hand by mixed Hu-Washizu-like formulations with special FE approaches and subsequent static condensation and on the other hand by structure-preserving integrators, which are also consistent in the time discrete setting with respect to the mechanical balance equations as well as the laws of thermodynamics. Methods such as GENERIC formalism and polyconvex-inspired formulations using the tensor cross product significantly simplify the structure of the equations and facilitate the design of structure-preserving integrators. In addition, discrete gradients obtained from polyconvexity-inspired frameworks are characterized by a particularly simple shape which is in stark contrast to classic projection-based discrete gradients.
该提案的重点是发展一致的和有效的模拟方法的电热机械耦合系统。有限变形和非线性本构关系假设。在供资阶段,将研究电热粘弹性动力耦合系统,并开发有效的数值方法。应用的例子是电活性聚合物和介电弹性体。先进的一致性和有效的模拟方法,可以得到一方面的混合胡Washizu-样配方与特殊的FE方法和随后的静态冷凝,另一方面的结构保持积分,这也是一致的时间离散设置相对于机械平衡方程以及热力学定律。方法,如通用形式主义和多凸启发配方使用张量积显着简化了方程的结构,并有利于结构保持积分器的设计。此外,从多凸启发框架获得的离散梯度的特征在于特别简单的形状,这与经典的基于投影的离散梯度形成鲜明对比。

项目成果

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Dr.-Ing. Marlon Franke其他文献

Dr.-Ing. Marlon Franke的其他文献

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