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首页> 外文期刊>Journal of thermal stresses >THERMOELASTICITY OF THIN SHELLS ON THE BASIS OF ASYMMETRICAL THEORY OF ELASTICITY
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THERMOELASTICITY OF THIN SHELLS ON THE BASIS OF ASYMMETRICAL THEORY OF ELASTICITY

机译:基于弹性非对称理论的薄壳热弹性

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摘要

The boundary value problem of general three-dimensional asymmetrical (momental) theory of elasticity for a thin shell is considered. It is assumed that the general stress-deformed state has resulted from interior stress-deformed state and boundary layers. An asymptotic method of integration of three-dimensional boundary value problem of asymmetrical theory of elasticity is applied for approximate computation of the interior stress-deformed state and boundary layers. Depending on the values of dimensionless physical parameters of shell's material, three various asymptotics are constructed. Initial approximation, correspondingly, for the first asymptotics brings to the general theory of micropolar thermoelastic shells with independent rotation, for the second asymptotics-to the general theory of micropolar thermoelastic shells with constraint rotation, and for the third asymptotics-to so-called theory of micropolar thermoelastic shells with "small shift rigidity". Corresponding micropolar thermoelastic boundary layers are constructed and studied. The areas of application of the constructed theories of thermoelasticity of micropolar shells are presented.
机译:考虑了薄壳的通用三维非对称(矩)弹性理论的边值问题。假定一般应力变形状态是由内部应力变形状态和边界层引起的。运用非对称弹性理论的三维边值问题积分的渐近方法,对内部应力变形状态和边界层进行了近似计算。根据壳体材料的无量纲物理参数的值,构造了三种不同的渐近线。相应地,第一个渐近线的初始近似为具有独立旋转的微极热弹性壳的一般理论,第二个渐近线为具有约束旋转的微极热弹性壳的一般理论,第三个渐近线为所谓的理论“小位移刚度”的微极性热弹性壳的制造。构造并研究了相应的微极性热弹性边界层。提出了微极性壳的热弹性构造理论的应用领域。

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