Axisymmetric generalized thermoelastic problems

With the rapid development of science and technology , engineering super rapid thermal conduction and microscale heat transfer and the emergence of more and more problems , using the classical Fourier law of heat conduction calculation will result in large errors . This paper summarizes and comments on the basis of the results of previous studies , using the theory of generalized thermoelastic axisymmetric body temperature distribution and coupled and uncoupled thermoelastic discuss the impact of the Non - Fourier effect . The obtained analytical solution of the one-dimensional solid cylindrical Non - Fourier heat conduction , and the two-dimensional thermal conductivity and thermal stress has been calculated using the finite element algorithm programming ; paper also presents a concise and practical calculation coupled thermoelastic problem the Finite Element Method . The calculation results show that the Non - Fourier effect so that the temperature response generation of the hysteresis coupling effect of a certain period of time there is a certain damping effect to changes in temperature and stress , affect the amplitude and the time and location in the elastomer ; However , in the conventional scale and thermal the speed of the impact of the two effects is not large.