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首页> 外文期刊>Journal of thermal stresses >ASYMPTOTIC THERMOELASTIC ANALYSIS OF ANISOTROPIC INHOMOGENEOUS AND LAMINATED PLATES
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ASYMPTOTIC THERMOELASTIC ANALYSIS OF ANISOTROPIC INHOMOGENEOUS AND LAMINATED PLATES

机译：各向异性非均质和层合板的渐近热弹性分析

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摘要

On the basis of three-dimensional elasticity without a priori assumptions, we develop an asymptotic theory for the thermoelastic analysis of anisotropic inhomogeneous plates subject to general temperature variations and under the action of lateral loads. The inhomogeneities considered are in the thickness direction, and the laminated plate represents an important special case. Through reformulation of the basic equations and nondimensionalization of the field variables, we find that the method of asymptotic expansions is well suited for the problem. Upon using the asymptotic expansion, we obtain sets of recurrence equations that can be integrated successively to determine the solution for a problem. We show that the classical laminated plate theory (CLT) is merely the leading-order approximation in the asymptotic theory. Furthermore, the higher-order equations are essentially the same as the CLT equations, only with nonhomogeneous terms that are completely determined from the lower-order solutions. As a result, the three-dimensional asymptotic solution for a thermoelasticity problem of the laminated plate can be obtained in a systematic way no more difficult than the CLT. The theory is illustrated by considering an inhomogeneous plate subject to a temperature variation and a laminated plate subject to a general thermomechanical loading.
机译：在没有先验假设的三维弹性的基础上，我们开发了一种渐近理论，用于各向异性各向异性板的热弹性分析，该各向异性板受一般温度变化和侧向载荷作用。考虑的不均匀性在厚度方向上，并且层压板代表重要的特殊情况。通过基本公式的重新公式化和场变量的无量纲化，我们发现渐近展开法非常适合该问题。使用渐近展开时，我们获得了可以连续积分以确定问题解决方案的递归方程组。我们证明了经典叠层板理论（CLT）只是渐近理论中的前导逼近。此外，高阶方程与CLT方程基本相同，仅具有完全由低阶解确定的非齐次项。结果，可以以不比CLT困难的系统方式获得用于层压板的热弹性问题的三维渐近解。通过考虑经受温度变化的不均匀板和经受一般热机械载荷的层压板来说明该理论。

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