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Thermo-elasto-plastic analysis of thick-walled cylinder made of functionally graded materials using successive approximation method
International Journal of Pressure Vessels and Piping ( IF 3.0 ) Pub Date : 2021-07-06 , DOI: 10.1016/j.ijpvp.2021.104481
Soheil Saeedi 1 , Mohsen Kholdi 1 , Abbas Loghman 1 , Hossein Ashrafi 1 , Mohammad Arefi 1
Affiliation  

In this paper, the thermo-elasto-plastic behavior of a thick walled cylindrical shell made of a Functionally Graded Material (FGM) is analyzed by Successive Approximation Method (SAM). The FGM ingredients include Aluminum and Silicon Carbide in which the effective material properties are estimated using the Modified Rule of Mixture. The shell is subjected to a combination of internal pressure and temperature gradient. After application of equilibrium equations for derivation of governing equations, the Differential Quadrature Method (DQM) is used for numerical solution. It is assumed that the two ends of the cylinder are closed and the plane strain conditions are established. The distribution of elastoplastic stresses and strains along the cylinder's thickness is presented in terms of characteristics of material composition and thermo-mechanical loadings such as volume fraction, in-homogeneous index, internal pressure and thermal loadings. Trueness and accuracy of the present problem is justified through comparison with available results in literature. The results show that by enhancement of ceramic particles percentage in the outer layers of cylinder's wall, amount of plastic strains is reduced at that layers, but at the same time, the amount of plastic strains and range of plastic region, increases at inner layers of thickness.



中文翻译:

用逐次逼近法对功能梯度材料制成的厚壁圆柱体进行热弹塑性分析

在本文中,由功能梯度材料 (FGM) 制成的厚壁圆柱壳的热弹塑性行为通过逐次逼近法 (SAM) 进行分析。FGM 成分包括铝和碳化硅,其中的有效材料特性是使用修改后的混合物规则估计的。壳体承受内部压力和温度梯度的组合。在应用平衡方程推导控制方程后,使用微分正交法 (DQM) 进行数值求解。假设圆柱体两端闭合,平面应变条件成立。弹塑性应力和应变沿圆柱的分布' s 厚度根据材料成分和热机械载荷的特性表示,例如体积分数、非均匀指数、内部压力和热载荷。通过与文献中的可用结果进行比较,证明了当前问题的真实性和准确性。结果表明,通过提高圆柱壁外层陶瓷颗粒的百分比,该层的塑性应变量减少,但同时,内层的塑性应变量和塑性区范围增加。厚度。

更新日期:2021-07-16
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