In this paper the Quasi-Static poro-thermoelasticity model of a hollow and solid sphere under radial symmetric loading condition (r, t) is considered. A full analytical method is used and an exact unique solution of the Quasi-Static equations is presented. The thermal, mechanical and pressure boundary conditions, the body force, the heat source and the injected volume rate per unit volume of a ...

Abstract A fast approximation method to three dimensional equations in quasi-static uncoupled thermoelasticity is proposed. We approximate the density via Gaussian approximating functions introduced approximations. In this way action of integral operators on such presented a simple analytical form. If has separated representation, problem reduced computation one-dimensional integrals which admi...

Abstract In this paper, we consider the energy decay of some problems involving domains with radial symmetry. Three different settings are studied: a strong porous dissipation and heat conduction, weak conduction poro-thermoelasticity microtemperatures. all three problems, exponential is shown. Moreover, for each them finite element simulations presented to numerically demonstrate behavior.

For 1-D parabolic PDEs with disturbances at both boundaries and distributed disturbances we provide ISS estimates in various norms. Due to the lack of an ISS Lyapunov functional for boundary disturbances, the proof methodology uses (i) an eigenfunction expansion of the solution, and (ii) a finite-difference scheme. The ISS estimate for the sup-norm leads to a refinement of the well-known maximu...

In this paper, we investigate a model of poro-thermoelasticity with microtemperatures, where the behavior body is influenced by history both temperature and microtemperatures. Mathematically, translates into system partial integro-differential equations. Under suitable condition on tensors appearing in model, prove that resulting well posed. one-dimensional case, exponential decay energy proved.

This paper introduces a fully implicit partitioned coupling scheme for problems of thermoelasticity at finite strains utilizing the p-version of the finite element method. The mechanical and the thermal fields are partitioned into symmetric subproblems where algorithmic decoupling has been obtained by means of an isothermal operator-split. Numerical relaxation methods have been implemented to a...

In this paper, the classic coupled poro-thermoelasticity model of hollow and solid cylinders under radial symmetric loading condition is considered. A full analytical method is used and an exact unique solution of the classic coupled equations is presented. The thermal and pressure boundary conditions, the body force, the heat source and the injected volume rate per unit volume of a distribute ...

We consider a recent plate model obtained as scaled limit of the three-dimensional Biot system poro-elasticity. The result is ‘2.5’-dimensional linear that couples traditional Euler–Bernoulli dynamics to pressure equation in three dimensions, where diffusion acts only transversely. allow permeability function be time dependent, making problem non-autonomous and disqualifying much standard abstr...

The stress-strain state of a layered composite cylindrical shell under local heating by the environment due to convective heat exchange has been studied. equation six-modal theory thermoelasticity and two-dimensional thermal conductivity inhomogeneous anisotropic shells are used for this purpose. solution nonstationary transfer problem quasi-static finite hinged orthogonally reinforced symmetri...