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首页> 外文期刊>Proceedings of the Institution of Mechanical Engineers. Part L, Journal of Materials: Design and Application >Fracture analysis of plastically graded material with thermo-mechanical J-integral
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Fracture analysis of plastically graded material with thermo-mechanical J-integral

机译：热机械J-积分的塑性分级材料的断裂分析

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摘要

In this paper, the influence of plasticity graded property and thermal boundary conditions have been investigated on the fracture parameter, i.e. J-integral using the extended finite element method. A complete computational methodology has been presented to model elasto-plastic fracture problems with geometrical and material nonlinearities. For crack discontinuity modeling, a partition of unity enrichment concept was employed with additional mathematical functions like Heaviside and branch enrichment for crack discontinuity and stress field gradient, respectively. The modeling of the stress-strain relationship of the material is implemented using the Ramberg-Osgood material model and geometric nonlinearity is modeled using an updated Lagrangian approach. The isotropic hardening and von-Mises yield criteria are considered to check the plasticity condition. The elastic predictor-plastic corrector algorithm is employed to capture elasto-plastic stress in a cracked domain. The variation in plasticity properties for plastically graded material is modeled by exponential law. Furthermore, the nonlinear discrete equations are numerically solved using a Newton-Raphson iterative scheme. Various cracked problem geometries subjected to thermal (adiabatic and isothermal conditions) and thermo-mechanical loads are simulated for stress contours and J-integrals using the elasto-plastic fracture mechanics approach. A comparison of the results obtained using extended finite element method with literature and the finite element analysis (FEA) package shows the accuracy and effectiveness of the presented computational approach. A component-based problem, i.e. a Brazilian disc subjected to thermo-mechanical loading, has been solved to show the adaptability of this work.
机译：本文在裂缝参数上研究了可塑性分级性能和热边界条件的影响，即使用延伸有限元法的J-Intional。已经提出了一种完整的计算方法，以利用几何和材料非线性模拟弹性塑料断裂问题。对于裂纹不连续建模，分别使用统一浓缩概念的分区，例如，额外的数学函数，如沉重的分支，分支富集，用于裂纹不连续性和应力场梯度。使用Ramberg-Osgood材料模型实现材料的应力 - 应变关系的建模，并且使用更新的拉格朗日方法建模几何非线性。各向同性的硬化和von-mises屈服标准被认为检查可塑性条件。弹性预测塑料校正器算法用于捕获裂化结构域中的弹性塑性应力。塑性分级材料的可塑性变化是通过指数律建模的。此外，使用Newton-Raphson迭代方案进行数值求解非线性离散方程。使用弹性塑料断裂力学方法模拟经受热（绝热和等温条件）和热机械负载的各种破裂问题几何图。使用具有文献和有限元分析（FEA）包的延长有限元方法获得的结果的比较显示了所提出的计算方法的准确性和有效性。基于组件的问题，即对热机械负载进行的巴西光盘，已经解决了这项工作的适应性。

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