GENERALIZED MAGNETO-THERMO-MICROSTRETCH RESPONSE OF A HALF-SPACE WITH TEMPERATURE-DEPENDENT PROPERTIES DURING THERMAL SHOCK

Abstract

IN THIS WORK, 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 THEORIES OF GENERALIZED THERMOELASTICITY. THE UPPER SURFACE OF THE HALF-SPACE IS SUBJECTED TO A ZONAL TIME-DEPENDENT HEAT SHOCK. THE PROBLEM IS SOLVED BY APPLYING FINITE ELEMENT METHOD. THE SOLUTION IS OBTAINED BY SOLVING FINITE ELEMENT GOVERNING EQUATIONS OF THE PROBLEM. THE RESULTS, 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 THEORIES OF THERMOELASTICITY 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.