Abstract
The generalized magneto-thermoelastic problem of an infinite homogeneous isotropic microstretch half-space with temperature-dependent material properties placed in a transverse magnetic field is investigated in the context of different generalized thermoelastic theories. The upper surface of the half-space is subjected to a zonal time-dependent heat shock. By solving finite element governing equations, the solution to the problem is obtained, from which the transient magneto-thermoelastic responses, including temperature, stresses, displacements, microstretch, microrotation, induced magnetic field and induced electric field are presented graphically. Comparisons are made in the results obtained under different generalized thermoelastic theories to show some unique features of generalized thermoelasticity, and comparisons are made in the results obtained under three forms of temperature dependent material properties (absolute temperature dependent, reference temperature dependent and temperature-independent) to show the effects of absolute temperature and reference temperature. Weibull or Log-normal.
Highlights
In the scopes of heat energy deposition, nuclear engineering, nuclear scrap disposition, heat design in pipeline of supply, underground tunnel fireproofing and so on, the thermal shock occurs frequently as a result of the large temperature gradient and almost all the materials involved in these engineerings possess microstructure. materials with inner microstructures, such as concrete and various composites
Considering that the engineering materials are composed of inner microstructures, the investigation on thermoelastic problems of materials with inner microstructures under thermal shock has a significant meaning for the application of these materials
The thermoelastic responses of an infinite homogeneous isotropic microstretch half-space with temperature-dependent material properties subjected to a zonal time-dependent heat shock placed in a transverse magnetic field is studied by solving the finite element equations directly in time domain
Summary
In the scopes of heat energy deposition, nuclear engineering, nuclear scrap disposition, heat design in pipeline of supply, underground tunnel fireproofing and so on, the thermal shock occurs frequently as a result of the large temperature gradient and almost all the materials involved in these engineerings possess microstructure. materials with inner microstructures, such as concrete and various composites. In spite of many studies about magneto-thermoelastic problems, hardly any attempt is made to investigate the transient magneto-thermo-microstretch problems of a half-space with temperature-dependent material properties under thermal shock. Tian et al (2005, 2006) solved the generalized thermoelastic problems directly in the time domain by using finite element method (FEM), in the distribution of temperature there is a distinct temperature step on thermal wave front, implies the finite speed of propagation of thermal wave is depicted perfectly by using FEM. In the present work the magneto-thermoelastic problem of an infinite homogeneous isotropic microstretch half-space with temperature-dependent material properties whose surface is subjected to a zonal time-dependent heat shock placed in a transverse magnetic field is investigated on the basis of different generalized thermoelastic theories by using FEM. By taking an appropriate material, the results are plotted graphically to illustrate the problem and compared the results in the case of temperature-independent mechanical properties
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