Linear Theory Of Micropolar Thermoelasticity Research Articles

Fundamental solution of steady oscillations for porous materials with dual-phase-lag model in micropolar thermoelasticity

This article deals with the study of propagation of plane waves in an isotropic thermoelastic medium for porous materials with the linear theory of micropolar thermoelasticity. The problem is treated in the context of dual-phase-lag model of thermoelasticity. It is found that, for one-dimensional model, there exists three longitudinal waves, namely elastic (E-mode), thermal (T-mode), and volume fraction (V-mode) in addition to transverse waves which get decoupled from rest of the motion and not affected by thermal and volume fraction fields. In case of steady oscillations, the fundamental solution of the system of differential equations in terms of elementary functions has been constructed. The phase velocity and attenuation coefficient of these waves are computed numerically and presented graphically.

Plane waves and vibrations in the theory of micropolar thermoelasticity for materials with voids

The present paper concerns with the linear theory of micropolar thermoelasticity for materials with voids. Some basic properties of wave numbers of the longitudinal and transverse plane harmonic waves are treated. The existence theorems of non-trivial solutions and eigenfrequencies of the interior homogeneous boundary value problems of steady vibrations are proved. The connection between plane harmonic waves and eigenfrequencies of the aforementioned problems is established.

On representations of a general solution in the theory of micropolar thermoelasticity without energy dissipation

In the present paper, the linear theory of micropolar thermoelasticity without energy dissipation is considered. This work is organized as follows: Section 2 is devoted to basic equations for micropolar thermoelastic materials, supposed to be isotropic and homogeneous, and to assumptions on constitutive constants. In Section 3, some theorems related to representations of a general solution are studied.

Fundamental Solution in the Theory of Micropolar Thermoelasticity for Materials with Voids

This paper concerns with the linear theory of micropolar thermoelasticity for materials with voids. We construct the fundamental solution of the system of differential equations in the case of steady oscillations in terms of elementary functions. Some basic properties of this solution are established.

Fundamental Solution in the Theory of Micropolar Thermoelasticity without Energy Dissipation

ABSTRACT This paper concerns the linear theory of micropolar thermoelasticity without energy dissipation. We construct the fundamental solution of the system of differential equations in the case of steady oscillations in terms of elementary functions.

On some theorems in the theory of micropolar thermoelasticity

The paper is concerned with the linear theory of micropolar thermoelasticity. First, we establish a uniqueness theorem with no definiteness assumption on the elasticities and in the absence of restriction that the conductivity tensor is positive definite. Then, we establish a basic relation which implies in a simple way the reciprocal theorem and another uniqueness result.

Some applications of micropolar mechanics to earthquake problems

In this paper the theory of micropolar continua has been used to study some earthquake problems. In the first part of the paper the changes in the Earth's inertia tensor due to earthquake faulting are calculated by using a reciprocal relation. The case of a homogeneous and isotropic elastic Earth model is analyzed. The result is compared to that of the classical theory. In the second part of the paper the problem of body loadings equivalent to a seismic dislocation, in the framework of the linear theory of micropolar thermoelasticity, is studied.

PROPAGATION OF MICROPOLAR THERMOELASTIC WAVES IN AN INFINITE ELASTIC SPACE CONTAINING A CYLINDRICAL BORE

The propagation of waves in an infinite micropolar elastic solid containing a cylindrical cavity and under the influence of temperature is investigated. Waves with axial symmetry with respect to the axis of the cavity are discussed, using the linear theory of micropolar thermoelasticity.

Thermal stresses in micropolar elastic cylinders

The present paper is concerned with the static problem in the linear theory of micropolar thermoelasticity for homogeneous and isotropic cylinders. The problem is solved using some results established in [1]–[5].

Thermal stresses in micropolar elastic solids

Two general solutions to the linear theory of micropolar thermoelasticity are presented; one representation involves deformation potentials, the other employs stress-functions. The two representations are used to analyze the thermal stresses and thermal couple stresses in the vicinity of a cavity and a rigid inclusion during uniform heat flow.

On thermal stresses in plane strain of isotropic micropolar elastic solids

We consider the static problem of plane strain in the linear theory of micropolar thermoelasticity assuming that heat sources are absent. We give a method for the reduction of the thermoelastic problem to an isothermal one with certain known boundary conditions. In the case of a multiply connected region this leads to the notion of dislocations.

The linear theory of micropolar thermoelasticity

In this paper is developed the linear theory of micropolar thermoelasticity. The constitutive equations are constructed and the displacement, micro-rotation and the stress, couple stress formulations are given. Uniqueness theorems are proved. The Duhamel-Neumann analogy is extended to micropolar materials and the thermoelastic problem is reduced to a corresponding isothermal one with zero body forces and couples.