We investigate the stability of three thermoelastic beam systems with hyperbolic heat conduction. First, we study Bresse-Gurtin-Pipkin system, providing a necessary and sufficient condition for exponential optimal polynomial decay rate when is violated. Second, obtain analogous results Bresse-Maxwell-Cattaneo completing an analysis recently initiated in literature. Finally, consider Timoshenko-...

* Corresponding author, [email protected] ABSTRACT The objective of this research is to develop an appropriate model for simulating the transient heat transfer processes in tissue welding subject to irradiation of ultrashort laser pulses. The ultrafast laser tissue welding process is modeled in three steps. First, there is an immediate local temperature response due to radiation absorption d...

In this paper, a numerical solution of an inverse non-dimensional heat conduction problem by spline method will be considered. The given heat conduction equation, the boundary condition, and the initial condition are presented in a dimensionless form. A set of temperature measurements at a single sensor location inside the heat conduction body is required. The result show that the proposed meth...

This paper presents an analytical solution of the hyperbolic heat conduction equation for moving semi-infinite medium under the effect of time dependent laser heat source. Laser heating is modeled as an internal heat source, whose capacity is given by g x, t I t 1 − R μe−μx while the semi-infinite body has insulated boundary. The solution is obtained by Laplace transforms method, and the discus...

in this paper, the conjugate gradient method coupled with adjoint problem is used in order to solve the inverse heat conduction problem and estimation of the time- dependent heat flux using the temperature distribution at a point in a three layer system with none homogeneous boundary conditions. also, the effect of noisy data on final solution is studied. for solving this problem the general co...