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A theory for grain boundaries with strain-gradient plasticity

机译:具有应变梯度可塑性的晶界理论

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In this work, the effect of the material microstructural interface between two materials (i.e., grain boundary in polycrystalls) is adopted into a thermodynamic-based higher order strain gradient plasticity framework. The developed grain boundary flow rule accounts for the energy storage at the grain boundary due to the dislocation pile up as well as energy dissipation caused by the dislocation transfer through the grain boundary. The theory is developed based on the decomposition of the thermodynamic conjugate forces into energetic and dissipative counterparts which provides the constitutive equations to have both energetic and dissipative gradient length scales for the grain and grain boundary. The numerical solution for the proposed framework is also presented here within the finite element context. The material parameters of the gradient framework are also calibrated using an extensive set of micro-scale experimental measurements of thin metal films over a wide range of size and temperature of the samples.
机译:在这项工作中,两种材料之间的材料微结构界面的影响(即多晶中的晶界)被引入到基于热力学的高阶应变梯度可塑性框架中。发达的晶界流规则解释了位错堆积引起的晶界处的能量存储以及位错通过晶界转移所引起的能量耗散。该理论是基于将热力学共轭力分解为高能和耗散对应物而开发的,该方程提供了本构方程,使晶粒和晶界同时具有高能和耗散梯度长度尺度。在有限元环境下,还提出了所提出框架的数值解决方案。梯度框架的材料参数也可以在一系列大小和温度范围内使用广泛的金属薄膜微尺度实验测量来校准。

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