扩展塑性公式的耗散一致建模和分类
Dissipation-consistent modelling and classification of extended plasticity formulations
摘要：
提出了一个扩展塑性模型的统一分类框架。该模型包括众所周知的微观形态和应变梯度塑性配方。统一的处理是可能的，由于应变梯度塑性作为一个Eringen型微观形态连续体的代表。分类是基于形式的能量和耗散模型结构，并利用耗散一致性建模的框架来阐明流动关系和屈服条件。模型被识别为串行或并行。这个名称也适用于我们熟悉的经典塑性模型。特别注意的是由选择一个光滑的耗散潜力所产生的速率相关的问题。无法局部确定区域的容许应力的非光滑（率无关）的平行模型的塑性是明确的。
英文摘要：
A unified classification framework for models of extended plasticity is presented. The models include well known micromorphic and strain gradient plasticity formulations. A unified treatment is possible due to the representation of strain gradient plasticity as an Eringen-type micromorphic continua. The classification is based on the form of the energetic and dissipative model structures and exploits the framework of dissipation-consistent modelling to elucidate the flow relation and yield condition. Models are identified as either serial or parallel. This designation is also applicable to familiar models of classical plasticity. Particular attention is paid to the rate-dependent problem arising from the choice of a smooth dissipation potential. The inability to locally determine the region of admissible stresses for the non-smooth (rate-independent) parallel models of plasticity is made clear.
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