粉末压制本构模型的双应变公式及其FE实现
Finite-strain formulation and FE implementation of a constitutive model for powder compaction
摘要：
一个有限应变配方的开发，实施和测试的本构模型能够描述从粒状到完全致密状态的陶瓷粉末冷成型过程中的过渡。这种本构模型（以及许多其他用于岩土材料）体现了一些功能，如压敏屈服，复杂的硬化规则和弹塑性耦合，提出了相当大的问题，在有限应变公式和数值实现。提出了一些策略来克服相关的问题，特别是，一个新的虎克型修改的弹性势和通过第二Piola-Kirchhoff应力提到的中间配置来描述屈服。还开发了一种与有限应变弹塑性耦合方程相容的增量格式，并通过应用返回映射算法解决了相应的本构更新问题。
英文摘要：
A finite-strain formulation is developed, implemented and tested for a constitutive model capable of describing the transition from granular to fully dense state during cold forming of ceramic powder. This constitutive model (as well as many others employed for geomaterials) embodies a number of features, such as pressure-sensitive yielding, complex hardening rules and elastoplastic coupling, posing considerable problems in a finite-strain formulation and numerical implementation. A number of strategies are proposed to overcome the related problems, in particular, a neo-Hookean type of modification to the elastic potential and the adoption of the second Piola-Kirchhoff stress referred to the intermediate configuration to describe yielding. An incremental scheme compatible with the formulation for elastoplastic coupling at finite strain is also developed, and the corresponding constitutive update problem is solved by applying a return mapping algorithm.
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