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首页> 外文期刊>Applied Mathematical Modelling >Nonlinear analysis of thermal-mechanical coupling bending of FGP infinite length cylindrical panels based on PNS and NSGT
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Nonlinear analysis of thermal-mechanical coupling bending of FGP infinite length cylindrical panels based on PNS and NSGT

机译：基于PNS和NSGT的FGP无限长度圆柱板的热机械耦合弯曲的非线性分析

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The present paper investigates the nonlinear static bending behavior of infinite length cylindrical panels made of functionally graded porous (FGP) materials. The shell with clamped edges is subjected to uniform temperature rise and transverse pressure loading. Thermomechanical properties of the shell with even distributed porosities are temperature-dependent and are graded along the thickness. The principle of virtual displacement and nonlocal strain gradient theory (NSGT) are employed to derive the equilibrium equations of the shallow shell resting on nonlinear elastic foundation. The concept of physical neutral surface (PNS) and higher-order shear deformation theory are also included into the formulation. Using the uncoupled thermoelasticity and Donnell kinematic assumptions, three differential equations of the shell under thermomechanical loading are established. The nonlinear system of governing equations is solved for the shell with infinite length which is clamped on both straight edges and free at other curved edges. The two-step perturbation technique and Galerkin procedure are employed to derive analytical solutions for the thermal, mechanical, and thermomechanical responses of cylindrical panels. The important parameters governing the bending behavior of shells under thermal-mechanical coupling load are identified and discussed. Parametric studies are given to show the influences of nonlocal/length scale parameter, porosity coefficient, foundation stiffness, geometrical parameter and functionally graded pattern. It is shown that the geometrical parameters have an important role on the bending behavior of cylindrical panels. Also, the temperature dependence of material properties results in higher deflection of the heated shells.
机译：本文研究了由功能梯度多孔（FGP）材料制成的无限长度圆柱板的非线性静态弯曲行为。具有夹紧边缘的壳体经受均匀的温度升高和横向压力负荷。壳体的热机械性能甚至分布式孔隙率均为温度依赖性，沿着厚度分级。虚拟位移和非局部应变梯度理论（NSGT）的原理用于导出在非线性弹性基础上搁置浅壳的平衡方程。物理中性表面（PNS）和高阶剪切变形理论的概念也包括在制剂中。利用解耦热弹性和Donnell运动学假设，建立了在热机械载荷下的三个微分方程。控制方程的非线性系统用于壳体，其具有无限长度的壳体，其在两个直边缘上夹紧并在其他弯曲边缘中自由。双步扰动技术和Galerkin程序用于推导出圆柱板的热，机械和热机械响应的分析解决方案。鉴定并讨论了控制热机械耦合负荷下壳体弯曲行为的重要参数。参数研究显示出非局部/长度比例，孔隙度系数，基础刚度，几何参数和功能分级图案的影响。结果表明，几何参数对圆柱板的弯曲行为具有重要作用。而且，材料特性的温度依赖性导致加热壳的较高偏转。

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