Aspects of earthquake energy.- Construction of earth models.- The Fe2O theory of planetary cores.- Principles of fracture mechanics.- Fracture problems in a nonhomogeneous medium.- Dynamics, of fracture propagation.- Nonlocal elasticity and waves.- On the problem of crack tip in nonlocal elasticity.- Statistical problems in the theory of elasticity.- Internal stresses in crystals and in the earth.- The elements of non-linear continuum mechanics.- Anisotropic elastic and plastic materials.- Symmetric micromorphic continuum: Wave propagation, point source solutions and some applications to earthquake processes.- Surface deformation in Iceland and crustal stress over a mantle plume.- Fault displacement and ground tilt during small earthquakes.

Continuum Mechanics Aspects of Geodynamics and Rock Fracture Mechanics : Proceedings of the NATO Advanced Study Institute held in Reykjavik, Iceland, 11-20 August, 1974

Thermoelastic waves in a fractional-order initially stressed micropolar diffusive porous medium

This article describes the impacts of variable thermal conductivity and diffusivity on an infinite thermoelastic diffusion circular plate of finite width with a heat source due to axisymmetric thermal and chemical potential loadings in the light of two-temperature generalized thermoelastic diffusion theory. The thermal conductivity and diffusivity are assumed to be linear functions of thermodynamic temperature and concentration, respectively. The governing equations are transformed into the linear form by applying Kirchhoff’s transform. These equations are solved by using the Laplace–Hankel transform technique. In the transformed region, the closed form expressions for conductive and thermodynamic temperatures, displacement and stress components, concentration, and chemical potential are obtained. To transform the solutions to the original domain, a numerical inversion technique is applied. Numerical results for thermodynamic and conductive temperatures, normal stress component, and chemical potential are depicted graphically to illustrate the impacts of two temperatures, ramping time parameter, variable thermal conductivity and diffusivity. A validation of the obtained results is also presented.

Transient response of a thermo-diffusive elastic thick circular plate with variable conductivity and diffusivity

Advancements in nanotechnology have inspired the development of magnetic polymer composites (MPCs) exhibiting magneto-static, magnetic permeability, and electromagnetism (EM). These have influenced...

Novel Trends in Magnetic Polymeric Nanoarchitectures

This article explores the effects of two temperatures on the combined problem of wave propagation and thermomechanical loading in a homogeneous isotropic plate. The governing equations are converte...

Analysis of wave motion and deformation in elastic plate based on two temperature theory of thermoelasticity

This paper is devoted to study the characteristics of various reflected waves in a homogeneous anisotropic fiber-reinforced magneto-thermoelastic diffusive solid under dual-phase lag theory of gene...

Plane wave propagation in a fiber-reinforced diffusive magneto-thermoelastic half space with two-temperature

The study is concerned with the reflection phenomenon in a rotating fiber-reinforced thermodiffusive half space with initial stress under the purview of Green-Lindsay theory of generalized thermoelasticity. Four basic waves namely qP (quasi-P), qMD (quasi-mass diffusion), qT (quasi-thermal) and qSV (quasi-SV) that travel with distinct speeds are found to be coupled due to the presence of reinforcement and rotation. With the application of boundary conditions, reflection coefficients and energy ratios for these reflected waves are presented in the closed form. With the help of MATLAB programming, different characteristics of waves like the phase velocity, reflection coefficient and energy ratio are computed numerically and plotted graphically against angle of incidence to evince the significance of rotation, initial stress, relaxation times, diffusion and reinforcement. The law of conservation of energy at the surface is also verified. Finally, it is shown that under certain conditions, previous results in the literature are special cases of our results. The study finds applications in composite engineering, geology, seismology, control system and acoustics, exploration of valuable materials beneath the earth’s surface.

Reflection of waves at an initially stressed surface of a rotating thermodiffusive half space with fiber reinforcement

The present investigation deals with the study of propagation of plane waves in a homogeneous, isotropic, nonlocal viscothermoelastic half space with temperature-dependent properties in the context...

Plane waves in nonlocal viscothermoelastic medium with temperature-dependent properties under three-phase-lag theory

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One Dimensional State Space Approach to Thermoelastic Interactions with Viscosity

Present work is concerned with the analysis of transient wave phenomena in a piezo-thermoelastic medium with diffusion, fiber reinforcement and two-temperature, when an elastic wave is made incident obliquely at the traction free plane boundary of the considered medium. The formulation is applied under the purview of generalized theory of thermoelasticity with one relaxation time. The problem is solved analytically and it is found that there exists four coupled quasi waves: qp (quasi-p ), qMD (quasi mass diffusion), qT (quasi thermal) and qSV (quasi-SV ) waves propagating with different speeds in a two-dimensional model of the solid. The amplitude ratios, phase velocities and energy ratios for the reflected waves are derived and the numerical computations have been carried out with the help of MATLAB programming. Effect of presence of diffusion is analyzed theoretically, numerically and graphically. The number of reflected waves reduce to three in the absence of diffusion as qMD wave will disappear in that case which is physically admissible. Influence of piezoelectric effect, two temperature and anisotropy is discussed on different characteristics of reflected waves such as phase velocity and reflection coefficients. It has been verified that there is no dissipation of energy at the boundary surface during reflection. Thus, the energy conservation law holds at the surface. Finally, all the reflection coefficients are represented graphically through 3D plots to estimate and highlight the effects of frequency and angle of incidence.

http://jsm.iau-arak.ac.ir/article_679661_66e3a721ff760fd66bc2e14ff1b15626.pdf

Kavita Jain

Papers

Plane wave propagation in a fiber-reinforced diffusive magneto-thermoelastic half space with two-temperature

Reflection of waves at an initially stressed surface of a rotating thermodiffusive half space with fiber reinforcement

Plane waves in nonlocal viscothermoelastic medium with temperature-dependent properties under three-phase-lag theory

One Dimensional State Space Approach to Thermoelastic Interactions with Viscosity

Analysis of Reflection Phenomena in a Fiber Reinforced Piezo-Thermoelastic Half Space with Diffusion and Two-Temperature