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We develop a new numerical model based on a precise integration method to investigate the coupled thermo-mechanical performance of layered transversely isotropic media around a cylindrical/tubular heat source. To obtain the relational matrices of the extended precise integration method, we first convert the governing equations of the problem into ordinary differential matrix equations through the...
The governing equations for axisymmetric thermal consolidation of transversely isotropic poroelastic material are treated by employing Laplace–Hankel transforms to deduce the standard differential equations. Then the extended precise integration method is applied to solve the above standard differential equations. Combining with the continuity conditions and the boundary conditions, the solution in...
This paper presents a numerical solution for the analysis of the axisymmetric thermo‐elastic problem in transversely isotropic material due to a buried heat source by means of extended precise integral method. By virtue of the Laplace–Hankel transform applied into the basic governing equations, an ordinary differential matrix equation is achieved, which describes the relationship between the generalized...
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