Mechanical/Thermal Sources in a Micropolar Thermoelastic Medium Possessing Cubic Symmetry without Energy Dissipation

Abstract

The present problem is concerned with the study of the deformation of a thermoelastic micropolar solid possessing cubic symmetry under the influence of various sources acting on the plane surface. The analytic expressions of displacement components, microrotation, force stress, couple stress, and temperature distribution are obtained in the physical domain for the Green and Nagdhi (G-N) theory of thermoelasticity by applying the integral transforms. A numerical inversion technique has been applied to obtain the solution in the physical domain. The numerical results are presented graphically for a particular material.

Thermoelastic Study of an Infinite Functionally Graded Body with a Cylindrical Cavity Using the Green-Naghdi Model

“…To show a sudden jump of the temperature distribution in the position of the heat wave front, the non-dimensional temperature along radial direction is shown in Figure 6. In Figure 6, as expected, there is a sudden jump of the temperature distribution for type II, while it hasn't been depicted in the previous studies [19,27,28]. The temperature step becomes indistinct along with the passage of time (as shown at t = 1 0 in Figure 6).…”

“…The second jump in the stress rr is caused by the giant temperature gradient at heat wave front in Figure 6. The stress jump didn't appear in the previous studies [19,27,28]. In Figure 10, the axis stress zz have their minimum values at the surface of the cavity, then decreases with the increase of axial distance z and then finally diminishes.…”

“…Though the inverse integral transformation can be done by numerical method, the results are not as accurate as in analytical solution, and there isn't a distinct temperature step at thermal wave front. The finite speed of heat propagation can not be depicted perfectly [19,27,28].…”

Thermomechanical Deformation in an Orthotropic Micropolar Thermoelastic Solid

“…Martynenko and Bosyakov [17] investigated the wave process in a thermoelastic micropolar solid body by the method of the theory of characteristics. Recently, Kumar and Ailawalia [18][19][20][21] discussed various problems in micropolar thermoelasticity.…”

Effect of initial stress and rotation on magneto-thermoelastic half-space with gravity field and without energy dissipation

“…According to three theories of thermoelasticity, Ezzat et al 17 looked into generalized thermoelectricity with temperature-dependent elastic coefficients. The solution of the out-of-eigenvalue method to micropolar thermoelectricity without energy dissipation was developed by Kumar et al 18 Hetnarski and Ignaczak 19 browsed key features of generalized thermoelectricity. Thermoplastic interaction in cubic elastomeric crystals heated arbitrarily as shown by Abbas et al 20 Kumar and Deswal 21 look at the disturbance brought on by thermo-mechanical causes in a thermoplastic homogenous micropolar in the shape of a half-space.…”