一种实用的FGM圆盘热应力分析方法

Ayşegül Özgür, K. Aydın, I. Keles
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引用次数: 0

摘要

在这项研究中,引入了一种数值方法来求解由功能梯度材料(FGM)制成的暴露在线性增加的温度分散下的空心盘的弹性应力解。假定FGM圆盘的弹性模量和热膨胀系数在径向上以不同的形式变化,并进一步假定泊松比恒定。它使管理物体在不同材料性质和边界条件下的行为的微分方程成为变系数方程。除了一些简单的等级材料和边界条件外,几乎不可能给出这类方程的解析解。在这种情况下,只能用数值方法来解决问题。利用互补函数法(CFM)求解该问题。采用不同的材料模型,计算相应的径向、切向和等效应力和径向位移。对于磁盘,可以轻松实现简单、有效和结构良好的解决方案步骤。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Practical Jointed Approach to Thermal Stress Analysis of FGM Disc
In this study, a numerical approach has been introduced in the elastic stress solutions of hollow disks made of functionally graded materials (FGM) that are exposed to linearly increasing temperature dispersion. The modulus of elasticity and the coefficient of thermal expansion of the FGM disk is assumed to vary in radial direction in different forms, and it is further assumed that the Poisson’s ratio is constant. It causes the differential equation that manages the behaviour of the object under different material properties and boundary conditions to be a variable coefficient equation. Except for some simple grade materials and boundary conditions, it is hardly possible to produce an analytical solution of such equations. In this case, the solution of the problems can only be found with numerical approaches. Complementary Functions Method (CFM) was used to solve the problem. Different material models were used from the written works and corresponding radial, tangential and equivalent stresses and radial displacements were calculated. Simple, effective and well-structured solution steps can be easily implemented for disks.
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