3D J-integral for functionally graded and temperature dependent thermoelastic materials
3D J-integral for functionally graded and temperature dependent thermoelastic materials
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用于功能梯度和温度依赖性热弹性材料的 3D J-integral
DOI：
10.1016/j.prostr.2016.06.281
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发表时间：
2016
期刊：
影响因子：
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中科院分区：
文献类型：
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为了减轻热冲击的影响，许多陶瓷、耐火材料或热保护层由功能梯度（FGM）或层状结构制成。需要断裂力学方法来评估这种结构在热冲击下的抗失效能力。尽管人们对热弹性功能梯度材料中的二维裂纹形态进行了大量的理论研究，但真实的缺陷和结构构件是三维的。在大多数情况下，热弹性材料性质的真实的分级不服从简单的数学函数，而是由于制造而显示出对位置的复杂依赖性。此外，弹性和热力学性质取决于温度本身。在本文中，我们提出了推导的三维J积分的任意位置和温度相关的材料行为。采用等效区域积分技术，在有限元中实现了J积分。将该方法应用于含表面裂纹的功能梯度材料热载荷板。在不同的例子中，材料级配对结果的影响进行了研究。
In order to mitigate the thermal shock impact, many ceramics, refractories or heat protecting layers are made of functionally graded (FGM) or layered structures. Fracture mechanical methods are needed to evaluate the resistance of such structures against failure under thermal shock. Despite a lot of theoretical work has been done for two-dimensional crack configurations in thermo-elastic FGM, real defects and structural components are of three-dimensional (3D) nature. In most cases the real gradation of the thermoelastic material properties does not obey simple mathematical functions, but show a complex dependency on location due to manufacturing. Moreover, the elastic and thermodynamic properties depend on temperature itself. In the paper, we present the derivation of the 3D J-integral for arbitrary location and temperature dependent material behavior. The J-integral is implemented in FEM by means of the equivalent domain integral technique. The method is applied to a thermally loaded plate of FGM with a surface crack. The influence of the material gradation on the results is investigated in various examples.
影响因子：
4.5
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