The thermoelastic field and also thermal and elastic wave propagation are studied in thick hollow cylinder using meshless local Petrov-Galerkin method. The thermoelastic governing equations based on Green-Naghdi theory of coupled thermoelasticity (without energy dissipation) has been used to compute the radial displacement and temperature distributions. The cylinder is considered to be under axisymmetric and plane strain conditions and inner bounding surface of cylinder to be under thermal shock loading. The meshless local Petrov-Galerkin method is developed to solve the boundary value problem. A weak formulation for the set of governing equations is transformed into local integral equations on local subdomains by using a Heaviside test function. Nodal points are randomly distributed along the radius of the cylinder and each node is surrounded by a uni-directional subdomain to which a local integral equation is applied. The temporal variation of the temperature and radial displacement are obtained using Newmark finite difference method. The propagation of thermal and elastic waves is discussed in details. The presented method shows high capability and efficiency for coupled thermoelasticity problems.

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