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FE approach for thermodynamically consistent gradient-dependent plasticity

机译:热力学一致梯度相关塑性的有限元方法

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In this work a dual-mixed FE-formulation for thermodynamically consistent gradient-dependent plasticity is proposed which leads to a fixed point iterative schema. At the constitutive level, the gradient-based Drucker-Prager model for cohesive-frictional material by Vrech and Etse (2005) is considered, which was formulated in the framework of the thermodynamically consistent gradient plasticity theory by Svedberg (1999). The robustness and efficiency of the proposed numerical tools are verified by means of computational analysis of inhomogeneous, uniaxial compression and tensile tests. These numerical results also demonstrate the capability of the gradient-dependent plasticity formulation to regularize the post peak response behavior regarding the mesh density as well as the influence of the internal length on the width of the plastic strains band.
机译:在这项工作中,提出了一种用于热力学上一致的梯度依赖性可塑性的双混合有限元配方,该配方导致了一个定点迭代方案。在本构层次上,考虑了Vrech和Etse(2005)的粘性摩擦材料基于梯度的Drucker-Prager模型,该模型是在Svedberg(1999)的热力学一致梯度可塑性理论的框架内制定的。通过对非均匀,单轴压缩和拉伸试验的计算分析,验证了所提出数值工具的鲁棒性和效率。这些数值结果还证明了依赖于梯度的可塑性公式化关于网格密度以及内部长度对塑性应变带宽度的影响而规范峰后响应行为的能力。

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