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首页> 外文期刊>International Journal of Solids and Structures >An implicit tensorial gradient plasticity model - Formulation and comparison with a scalar gradient model
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An implicit tensorial gradient plasticity model - Formulation and comparison with a scalar gradient model

机译：隐式张量梯度可塑性模型-与标量梯度模型的公式化和比较

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Many rate-independent models for metals utilize the gradient of effective plastic strain to capture size-dependent behavior. This enhancement, sometimes termed as "explicit" gradient formulation, requires higher-order tractions to be imposed on the evolving elasto-plastic boundary and the resulting numerical framework is complicated. An "implicit" scalar gradient model was thus developed in Peerlings [Peerlings, R.H.J.; 2007. On the role of moving elastic-plastic boundaries in strain gradient plasticity. Model. Simul. Mater. Sci. Eng. 15, 109-120] that has only C~0 continuity requirements and its implementation is straightforward. However, both explicit and implicit scalar gradient models can be problematic when the effective plastic strains do not have smooth profiles. To address this limitation, an implicit tensorial gradient model is proposed in this paper based on the generalized micromorphic framework. It is also demonstrated that the scalar and tensorial implicit gradient models give similar results when the effective plastic strains fluctuate smoothly.
机译：金属的许多速率无关模型都利用有效塑性应变的梯度来捕获尺寸依赖性行为。这种增强有时被称为“显式”梯度公式，需要对不断发展的弹塑性边界施加更高阶的牵引力，并且所得的数值框架很复杂。因此在Peerlings中开发了“隐式”标量梯度模型[Peerlings，R.H.J .; 2007。关于移动弹塑性边界在应变梯度可塑性中的作用。模型。同谋母校科学。 [15，109-120]仅具有C〜0的连续性要求，并且其实现非常简单。但是，当有效塑性应变不具有平滑轮廓时，显式和隐式标量梯度模型都可能存在问题。为了解决这一局限性，本文在广义微形态框架的基础上提出了隐式张量梯度模型。还证明了，当有效塑性应变平稳波动时，标量和张量隐式梯度模型给出相似的结果。

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