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Investigation on effects of stochastic loading at the boundary under thermoelasticity with two relaxation parameters

机译:具有两个松弛参数的热弹性边界随机载荷的影响研究

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摘要

The main objective of the present work is to study the responses of stochastic type mechanical distribution at the boundary of an elastic half space in the context of generalized thermoelasticity. In order to compare the results under the stochastic mechanical distribution, we have also considered the case of deterministic mechanical distribution prescribed at the boundary. The stochastic mechanical distribution is considered in such a way that it reduces to a deterministic type distribution as a special case. Laplace transform technique is used to solve the problem and its inversion is carried out by using asymptotic expansions valid for short times to obtain the solution of all the physical field variables like, stress and temperature distributions in the physical domain. Numerical results are found out to compare the effects of stochastic and deterministic load prescribed at the boundary of the elastic half space.
机译:本文的主要目的是研究广义热弹性条件下弹性半空间边界处的随机型机械分布的响应。为了比较随机机械分布下的结果,我们还考虑了边界处规定的确定性机械分布的情况。考虑随机机械分布,以使其在特殊情况下减少为确定性类型分布。使用拉普拉斯变换技术来解决该问题,并通过使用对短时间有效的渐近展开进行求逆,以获得所有物理场变量(如物理域中的应力和温度分布)的解。发现了数值结果,以比较在弹性半空间边界处规定的随机载荷和确定性载荷的影响。

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