复合多层介质在可变温度和集中荷载作用下的位移和应力

研究了多层介质中的热弹性位移和应力.多层介质具有不同厚度,各层又具有不同的弹性性质,最上层表面上作用热荷载和集中荷载.假设各层分别是均匀、各向同性弹性材料,各层相关的位移分量是轴对称的,对称轴为各层表面的垂线.因此,各层应力函数满足无体力的单一方程.利用积分变换法求解了该方程,对由任意多个层数构造的多层介质,给出了其相应层数基础热弹性位移和应力的解析表达式.并对3层介质和4层介质时的数值结果进行了比较.

Displacements and Stresses in a Composite Mult-Layered Media Due to Varying Temperature and Concentrated Load

The determination of the thermo-elastic displacements and stresses in a multi-layered body set up in different layers of different thickness having different elastic properties due to the application of heat and a concentrated load in the uppermost surface of the medium is studied.Each layer is assumed to be made of homogeneous and isotropic elastic material.The relevant displacement components for each layer were taken to be axisymmetric about a line,which is perpendicular to the plane surfaces of all layers.The stress function for each layer,therefore,satisfies a single equation in absence of any body force.The equation was then solved by integral transform technique.Analytical expressions for thermo-elastic displacements and stresses in the underlying mass and the corresponding numerical codes have been constructed for any number of layers.However,the numerical comparison was made for three and four layers.