This article studies the equations of adiabatic thermoelasticity endowed with an internal energy satisfying appropriate quasiconvexity assumption which is associated to symmetrisability condition for system. A Gårding-type inequality these quasiconvex functions proved and used establish a weak-strong uniqueness result class dissipative measure-valued solutions.

Some fundamental issues in the formulation of constitutive theories of material response based on the multiplicative decomposition of the deformation gradient are reviewed, with focus on finite deformation thermoelasticity, elastoplasticity, and biomechanics. The constitutive theory of isotropic thermoelasticity is first considered. The stress response and the entropy expression are derived in ...

We investigate corrector estimates for the solutions of a thermoelasticity problem posed in a highly heterogeneous two-phase medium and its corresponding two-scale thermoelasticity model which was derived in [11] by two-scale convergence arguments. The medium in question consists of a connected matrix with disconnected, initially periodically distributed inclusions separated by a sharp interfac...

Most thermal stress analyses assume that the determination of the temperature field is uncoupled from that of the stress and displacement fields, while assuming that the stress and displacement fields depend on the temperature field. This semi-coupled approach to thermoelasticity is not entirely consistent. In this paper the governing equations for the fully coupled theory of thermoelasticity a...

in this paper, the mer-co(nh3)3(no2)3 complex was used as a new precursor for synthesizing spinel-type cobalt oxide nanoparticles (co3o4nps).thermal decomposition of the complex at low temperature (175 °c) resulted in the co3o4nps without using expensive and toxic solvents or complicated equipment. xrd, ft-ir, sem, edx, and tem were employed to characterize the product, and its optical and magn...

This paper is concerned with propagation of thermoelastic longitudinal vibrations of an infinite circular cylinder, in the context of the linear theory of generalized thermoelasticity with two relaxation time parameters (Green and Lindsay theory). Three displacement potential functions are introduced to uncouple the equations of motion. The frequency equation, by using the traction free boundar...

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...

Abstract In the past few decades, many models have been proposed to address shortcomings found in classical theories of thermoelasticity and allow limited speeds heat waves. this context, current paper a new generalized model based on Moore–Gibson–Thompson (MGT) equation has introduced. This can be derived by introducing relaxation time factor into third type Green–Naghdi (GN-III). contrast pre...

spinal muscular atrophy (sma) is an autosomal recessive neuromuscular disorder caused by homozygous deletion of the survival motor neuron gene 1 (smn1) in more than 90% of patients. according to the age of onset and severity of the disease, sma is classified into three groups: type i (severe), type ii (intermediate) and type iii (mild). as reported, the smn2 gene, centromeric copy gene, showed ...