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Numerical Analysis Applied to Nonlinear Problems

机译:数值分析应用于非线性问题

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摘要

The present paper shows the applicability of the Dual Boundary Element Method to analyze plastic, visco-plastic and creep behavior in fracture mechanics problems. Several models with a crack, including a square plate, a holed plate and a notched plate are analyzed. Special attention is taken when the discretization of the domain is done. In Fact, for the plasticity and viscoplasticity cases only the region susceptible to yielding was discretized, whereas, the creep case required the discretization of the whole domain. The proposed formulation is presented as an alternative technique to study this kind of non-linear problems. Results from the present formulation are compared to those of the well-established Finite Element Technique, and they are in good agreement. Important fracture mechanic parameters such as K_Ⅰ, K_Ⅱ, J- and C-integrals are also included. In general, the results, for the plastic, visco-plastic and creep cases, show that the highest stress concentrations are in the vicinity of the crack tip and they decrease as the distance from the crack tip is increased.
机译:本文显示了双重边界元方法在分析断裂力学问题中的塑性,粘塑性和蠕变行为方面的适用性。分析了几种带有裂纹的模型,包括正方形板,带孔板和带缺口的板。完成域的离散化时要特别注意。实际上,对于可塑性和粘塑性情况,仅对易屈服的区域进行离散化,而对于蠕变情况,则需要对整个区域进行离散化。提出的提议公式是研究此类非线性问题的替代技术。将本配方的结果与公认的有限元技术的结果进行比较,结果非常吻合。还包括重要的断裂力学参数,例如K_Ⅰ,K_Ⅱ,J和C积分。通常,对于塑性,粘塑性和蠕变情况,结果表明,最高应力集中在裂纹尖端附近,并且随着距裂纹尖端距离的增加而减小。

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