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Numerical simulation of functionally graded cracked plates using NURBS based XIGA under different loads and boundary conditions

机译：基于NURBS的XIGA在不同载荷和边界条件下功能梯度板的数值模拟

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In this paper, extended isogeometric analysis (XIGA) is performed to simulate the cracked functionally graded material (FGM) plates using first order shear deformation theory (FSDT) under different types of loading and boundary conditions. The gradation in material properties of the plate vary exponentially along thickness direction. The top and bottom surfaces of the plate are composed of ceramic and metal respectively. The properties of the equivalent composite are evaluated by rule of mixtures. The crack faces are modeled using Heaviside function, whereas the singularity in the stress field at the crack tip is modeled by employing crack tip enrichment functions. The domain integral approach is used for evaluating the stress intensity factor. The results obtained by XIGA for FGM plate are compared with equivalent composite plate. (C) 2015 Elsevier Ltd. All rights reserved.
机译：在本文中，使用一阶剪切变形理论（FSDT）在不同类型的载荷和边界条件下，进行了扩展的等几何分析（XIGA），以模拟开裂的功能梯度材料（FGM）板。板的材料特性的渐变沿厚度方向呈指数变化。板的顶面和底面分别由陶瓷和金属组成。等效复合材料的性能通过混合规则进行评估。裂纹面使用Heaviside函数建模，而裂纹尖端应力场的奇异性则通过使用裂纹尖端富集函数建模。区域积分法用于评估应力强度因子。将XIGA获得的FGM板的结果与等效的复合板进行比较。 （C）2015 Elsevier Ltd.保留所有权利。

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