نتایج جستجو برای: Lord-Shulman model

تعداد نتایج: 2107682  

Journal: :Appl. Math. Lett. 2017
M. C. Leseduarte Ramón Quintanilla Reinhard Racke

We study solutions for the one-dimensional problem of the Green-Lindsay and the Lord-Shulman theories with two temperatures. First, existence and uniqueness of weakly regular solutions are obtained. Second, we prove the exponential stability in the Green-Lindsay model, but the nonexponential stability for the Lord-Shulman model.

Journal: :Applied Mathematics & Optimization 2020

2009
S. K. Bhullar

Abstract This paper is concerned to study temperature distribution, thermal stresses and displacement components for a magnetothermoelastic problem of a halfspace subjected to (i) moving heat source and (ii) moving load. Classical Dynamical Coupled, Lord-Shulman and Green Lindsay theories of thermoelasticity are used for mathematical analysis. It is found that the Lord-Shulman theory is more pr...

P Sharma R Kumar,

The basic governing equations in anisotropic elastic material under the effect of porous piezothermoelastic are presented. Biot [1], Lord & Shulman [4] and Sherief et al. [5] theories are used to develop the basic equations for porous piezothermoelastic with mass diffusion material. The variational principle, uniqueness theorem and theorem of reciprocity in this model are established under the ...

Journal: :journal of solid mechanics 0
j.j tripathi department of mathematics, dr. ambedkar college, deekshabhoomi, nagpur -440010, maharashtra, india g.d kedar department of mathematics, r.t.m. nagpur university, nagpur-440033 maharashtra, india k.c deshmukh department of mathematics, r.t.m. nagpur university, nagpur-440033 maharashtra, india

a two dimensional generalized thermoelastic problem of a thick circular plate of finite thickness and infinite extent subjected to continuous axisymmetric heat supply and an internal heat generation is studied within the context of generalized thermoelasticity. unified system of equations for classical coupled thermoelasticity, lord-shulman and green-lindsay theory is considered. an exact solut...

M.G Gorla R Kumar, R Vohra,

In the present work, the mathematical model of a homogeneous, isotropic thermoelastic double porous micro-beam, based on the Euler-Bernoulli theory is developed in the context of Lord-Shulman [1] theory of thermoelasticity. Laplace transform technique has been used to obtain the expressions for lateral deflection, axial stress, axial displacement, volume fraction field and temperature distribut...

G.D Kedar J.J Tripathi, K.C Deshmukh

A two dimensional generalized thermoelastic problem of a thick circular plate of finite thickness and infinite extent subjected to continuous axisymmetric heat supply and an internal heat generation is studied within the context of generalized thermoelasticity. Unified system of equations for classical coupled thermoelasticity, Lord-Shulman and Green-Lindsay theory is considered. An exact solut...

Journal: :Archive of Applied Mechanics 2022

Abstract We study a time-dependent thermoelastic coupling within free vibrations of piezomagnetic (PM) microbeams considering the flexomagnetic (FM) phenomenon. The flexomagneticity relates to magnetic field with gradient strains. Here, we use generalized thermoelasticity theory Lord–Shulman analyze interaction between elastic deformation and thermal conductivity. uniform is permeated in line t...

In the present investigation, we study the reflection of plane waves, that is, Longitudinal displacement wave(P-Wave), Thermal wave(T-Wave) and Mass Diffusive wave(MD-Wave) in thermodiffusion elastic-half medium which is subjected to impedence boundary condition in context of one relaxatioon time theory given by Lord and Shulman theory (L-S) and the Coupled theory (C-T) of thermoelasticity. The...

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