Stress Concentration and Damage Factor Due to Central Elliptical Hole in Functionally Graded Panels Subjected to Uniform Tensile Traction
Stress Concentration and Damage Factor Due to Central Elliptical Hole in Functionally Graded Panels Subjected to Uniform Tensile Traction
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均匀拉伸作用下功能梯度板中心椭圆孔的应力集中和损伤因子
DOI：
10.3390/ma12030422
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发表时间：
2019-02-01
期刊：
影响因子：
3.4
通讯作者：
Shi, Pengpeng
中科院分区：
文献类型：
--
作者：
Wang, Wenshuai;Yuan, Hongting;Shi, Pengpeng
功能梯度材料可以通过设计材料性能的空间变化来优化复合材料的力学性能。本文分析了带中心椭圆孔的功能梯度板在单轴拉伸载荷作用下的应力分布。基于非均匀性变化和三种不同的梯度方向，讨论了非均匀性对应力集中系数和损伤系数的影响。研究结果表明：当杨氏模量随距孔距离的增大而增大时，应力集中系数较均质材料减小，在拉伸载荷作用下，r-FGM的优化设计优于x-FGM和y-FGM。此外，考虑极限应力相关变化时，降低破坏指数方案的选择与强度-模量指数比有关。当强度-模量指数比较小时，破坏指数随幂律指数变化，说明存在最优FGM设计；但当强度-模量指数比较大时，最佳设计模量设计是选择均匀的材料，使各点的模量最大化。这些研究结果对进一步深入理解女性生殖器的非均匀设计具有一定的参考价值。
Functionally graded material (FGM) can optimize the mechanical properties of composites by designing the spatial variation of material properties. In this paper, the stress distribution of functionally graded panel with a central elliptical hole under uniaxial tensile load is analyzed. Based on the inhomogeneity variation and three different gradient directions, the effects of the inhomogeneity on the stress concentration factor and damage factor are discussed. The study results show that when Young's modulus increases with the distance from the hole, the stress concentration factor decreases compared with that of homogeneous material, and the optimal design of r-FGM is better than that of x-FGM and y-FGM when the tensile load. In addition, when the associated variation of ultimate stress is considered, the choice of scheme to reduce the failure index is related to the strength-modulus exponent ratio. When the strength-modulus exponent ratio is small, the failure index changes with the index of power-law, which means there is an optimal FGM design. But when the strength-modulus exponent ratio is large, the optimal design modulus design is to select a uniform material that maximizes the modulus at each point. These research results have a certain reference value for further in-depth understanding of the inhomogeneous design for FGM.