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Consistent tangent stiffness for local-nonlocal damage modelling of metals

机译:金属局部非识别造型造型的一致切线刚度

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In the present study we consider an adaptation of Nguyen's model [6] for brittle materials to the case of ductile rupture. We focus our attention on the formulation of a consistent tangent stiffness matrix which is essential for the efficiency and convergence of the implementation within a finite element framework. We demonstrate the capability of the model to generate mesh-independent results and to follow the rupture process very close to failure. Rupture analysis of thin plates of different geometry is presented (symmetric double notch-edged specimen, asymmetric double notch-edged specimen, double notch-edged specimen containing a hole). Further modifications are outlined required to simulate crack growth and paths under the conditions of creep and fatigue.
机译:在本研究中,我们考虑对Nguyen的模型[6]的适应脆性材料与韧性破裂的情况。我们将注意力集中在配方对一致的切线刚度矩阵,这对于有限元框架内实施的效率和收敛是必不可少的。我们展示了模型的能力,以产生与网格无关的结果,并遵循破裂过程非常接近失败。提出了不同几何形状的薄板的破裂分析(对称双凹凸边缘标本,不对称双口腔边缘标本,含有孔的双凹口侧标本)。概述了在蠕变和疲劳条件下模拟裂纹生长和路径所要求的进一步修改。

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