نتایج جستجو برای: coupled thermoelasticity

تعداد نتایج: 205960  

Journal: :Biophysical journal 1979
R Waugh E A Evans

The elastic properties of the human red blood cell membrane have been measured as functions of temperature. The area compressibility modulus and the elastic shear modulus, which together characterize the surface elastic behavior of the membrane, have been measured over the temperature range of 2-50 degrees C with micropipette aspiration of flaccid and osmotically swollen red cells. In addition,...

2003
Senthil S. Vel R. C. Batra Clifton C. Garvin

An analytical solution is presented for three-dimensional thermomechanical deformations of a simply supported functionally graded (FG) rectangular plate subjected to time-dependent thermal loads on its top and/or bottom surfaces. Material properties are taken to be analytical functions of the thickness coordinate. The uncoupled quasistatic linear thermoelasticity theory is adopted in which the ...

2014
Wei Gao Rui Huang

Thermomechanical properties of monolayer graphene with thermal fluctuation are studied by both statistical mechanics analysis and molecular dynamics (MD) simulations. While the statistical mechanics analysis in the present study is limited by a harmonic approximation, significant anharmonic effects are revealed by MD simulations. The amplitude of out-ofplane thermal fluctuation is calculated fo...

The article is concerned with a new nonlocal model based on Eringen’s nonlocal elasticity and generalized thermoelasticity. A study is made of the magneto-thermoelastic waves in an isotropic conducting thermoelastic finite rod subjected to moving heat sources permeated by a primary uniform magnetic field and rotating with a uniform angular velocity. The Laplace transform technique with respect ...

Journal: :Mathematics and Computers in Simulation 2004
P. Matus Roderick V. N. Melnik Linxiang X. Wang I. Rybak

In this paper, we consider a strongly coupled model of nonlinear thermoelasticity describing the dynamics of materials with shape memory. The model is not amenable to analytical treatments and the development, analysis, and applications of effective numerical approximations for this model is in the focus of the present paper. In particular, we discuss a recently proposed fully conservative diff...

Journal: :Journal of Mathematical Sciences 2021

We construct the analytic solution of a three-dimensional problem thermoelasticity for transversely isotropic space with internal stationary heat sources. By method direct integration, is reduced to system governing equations components stress tensor, which solved by using double integral Fourier transform.

Journal: :Computers & Mathematics with Applications 2012
Nils Zander Stefan Kollmannsberger Martin Ruess Zohar Yosibash Ernst Rank

The recently introduced Finite Cell Method (FCM) combines the fictitious domain idea with the benefits of high-order Finite Elements. While previous publications concentrated on single-field applications, this paper demonstrates that the advantages of the method carry over to the multi-physical context of linear thermoelasticity. The ability of the method to converge with exponential rates is i...

Journal: :Computers & Mathematics with Applications 2014
Alexandr E. Kolesov Petr N. Vabishchevich Maria V. Vasilyeva Victor F. Gornov

In this work, we consider the coupled systems of linear unsteady partial differential equations, which arise in the modeling of poroelasticity processes. Stability estimates of weighted difference schemes for the coupled system of equations are presented. Approximation in space is based on the finite element method. We construct splitting schemes and give some numerical comparisons for typical ...

2007
V. Ciancio R. Quintanilla

In this paper we propose some thermodynamic theories of materials with internal variables. In concrete, we extend the arguments of the theories of the thermoelasticity of type I, II and III proposed by Green and Naghdi to the case of materials with internal variables. We state the system of equations in the linear case when the material is centrosymmetric. We end with an existence and uniquenes...

2003
G. A. Maugin

A Lagrangian-Hamiltonian variational formulation is proposed for the thermoelasticity of heat conductors and its generalization to anelasticity described by means of internal-state variablesby using a gauge-theoretical technique (introduction of an additional variable of state the gradient of thermacy that renders the system apparently Hamiltonian). Projecting the equations resulting from the E...

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