arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0704.2663cond-mat.mtrl-sci
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无显式演化规律的混凝土损伤标量模型

Scalar damage model for concrete without explicit evolution law

Josko Ozbolt, Sergey Ananiev

摘要:

基于各向同性材料模型的弹性预测量和投影应力张量具有相同的特征向量的事实,它表明,标量损伤可以直接从投影算法获得。这消除了作为混凝土损伤演化的驱动力的等效应变的适当定义的困难。此外,如果特征向量已知,则不必用应力张量的不变量来表示载荷面。在本模型中,加载表面以多项式形式表示。这有两个优点:(i)它自动满足C1连续性和(ii)通过简单地将第三应力设置为零来实现平面应力公式。以混凝土复合型断裂为例说明了模型的有效性。结果表明,对于本例的模型预测强烈依赖于应力退化规律的选择。

英文摘要:

Based on the fact that for an isotropic material model the elastic predictor and the projected stress tensors have the same eigenvectors, it is shown that the scalar damage can be obtained directly from the projection algorithm. This eliminates the difficulty of a proper definition of equivalent strain which serves as a driving force for evolution of damage in concrete. Moreover, if eigenvectors are known it is not more nec-essary to use invariants of the stress tensor for the formulation of loading surface. In the present model the loading surface is represented in the polynomial form. This has two advantages: (i) it automatically fulfils C1 continuity and (ii) plane stress formulation is achieved by simply setting the third stress to zero. The perform-ance of the model is illustrated on example of a mixed-mode fracture of concrete. It is shown that for the pre-sent example the model prediction strongly depends on the choice of the stress degradation law.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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