Transient analysis of thermo-elastic waves in thick hollow cylinders using a stochastic hybrid numerical method, considering Gaussian mechanical properties

Abstract

a b s t r a c tThis article attempts to study the stochastic coupled thermo-elasticity of thick hollow cylinders subjected to thermal shock loading considering uncertainty in mechanical properties. The thermo-elastic governing equations based on Green-Naghdi theory (without energy dissipation) are stochastically solved using a hybrid numerical method (combined Galerkin finite element and Newmark finite difference methods). The mechanical properties are considered as random variables with Gaussian distribution, which are generated using Monte Carlo simulation method with various coefficients of variations (COVs). The effects of uncertainty in mechanical properties with various coefficients of variations on thermo-elastic wave propagation are studied in detail. Also, the maximum, mean and variance of temperature, displacement and stresses are illustrated across thickness of cylinder in various times.

Nonlocal response of multi‐field coupling elastic medium based on fractional order strain

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Stochastic Analysis of Heat Conduction and Thermal Stresses in Solids: A Review

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“…It is shown that thermal properties have no effect on the circumerential SH wave and the thermoelasticity has very limited effects on the other circumferential modes. In 2011, a work on the randomness of thermoelasticity wave in thick hollowed cylinder was reported [15]. They analytically studied the thermal and mechanical waves using theory of coupled thermoelasticity without energy dissipationbased on Green-Naghdi model.…”