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Thermally induced nonlinear stability and imperfection sensitivity of temperature- and size-dependent FG porous micro-tubes

机译:热诱导的非线性稳定性和温度依赖性FG多孔微管的缺陷敏感性

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摘要

An attempt is made in the current research to analyse the nonlinear thermal stability and imperfection sensitivity of functionally graded (FG) porous micro-tubes. Temperature-dependent properties of the geometrically imperfect micro-tube are graded across the radius of cross-section. It is assumed that the micro-tube with different end conditions is in contact with a two-parameter elastic foundation. The nonlinear component of the elastic foundation can be of the hardening or softening type. The equilibrium equations are obtained within the framework of von Karman nonlinear assumptions and high-order shear deformation tube theory. The governing equations are reformulated for the case of imperfect micro-tubes based on the modified couple stress theory. The system of nonlinear differential equations is solved using the two-step perturbation technique and Galerkin procedure. The analytical solutions are obtained for three different types of immovable boundary conditions which are clamped-rolling, simply-supported and clamped-clamped. The closed-form expressions are given to obtain the large deflection in the micro-tube as a function of the elevated temperature. Novel parametric studies are given to explore the thermal stability and imperfection sensitivity analysis of the perfect and imperfect micro-tubes, respectively. The effects of boundary conditions, couple stress components, porosity coefficient, elastic foundation, FG pattern, temperature dependence and geometrical parameters are studied.
机译:在目前的研究中尝试分析功能梯度(FG)多孔微管的非线性热稳定性和缺陷敏感性。几何不完全微管的温度依赖性特性越过横截面的半径。假设具有不同端部条件的微管与双参数弹性基础接触。弹性基础的非线性部件可以是硬化或软化型。在Von Karman非线性假设和高阶剪切变形管理论的框架内获得了平衡方程。基于修改的夫妇应力理论,为缺乏无瑕的微管的情况重新制定了控制方程。使用双步扰动技术和Galerkin程序来解决非线性微分方程系统。用于三种不同类型的不可移动边界条件的分析溶液,其被夹紧,简单地支撑和夹紧夹紧。给出闭合形式的表达式以获得微管中的大偏转作为升高的温度。给出了新的参数研究,分别探讨了完美和不完全的微管的热稳定性和缺陷敏感性分析。研究了边界条件,耦合应力分量,孔隙度系数,弹性基础,FG图案,温度依赖性和几何参数的影响。

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