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  • Open Access



    Mahmoud A. Ismaila, Shadia Fathi Mohamed El Sherif a , A. A. El-Baryb,*, Hamdy M. Youssefc

    Frontiers in Heat and Mass Transfer, Vol.14, No.1, pp. 1-7, 2020, DOI:10.5098/hmt.14.3

    Abstract In this paper we will discuss the problem of distribution of thermal stresses and temperature in a generalized magneto–thermo-viscoelastic solid spherical cavity of radius R according to Green- Naghdi (G-N II) and (G-N III) theory. The surface of the cavity is assumed to be free traction and subjected to a constant thermal shock. The Laplace transform technique is used to solve the problem. The state space approach is adopted for the solution of one dimensional problem. Solution of the problem in the physical domain are obtained by using a numerical method of MATLAP Programmer and the expression for the temperature,… More >

  • Open Access


    Three Dimensional Coupling between Elastic and Thermal Fields in the Static Analysis of Multilayered Composite Shells

    Salvatore Brischetto*, Roberto Torre, Domenico Cesare

    CMES-Computer Modeling in Engineering & Sciences, Vol.136, No.3, pp. 2551-2594, 2023, DOI:10.32604/cmes.2023.026312

    Abstract This new work aims to develop a full coupled thermomechanical method including both the temperature profile and displacements as primary unknowns of the model. This generic full coupled 3D exact shell model permits the thermal stress investigation of laminated isotropic, composite and sandwich structures. Cylindrical and spherical panels, cylinders and plates are analyzed in orthogonal mixed curved reference coordinates. The 3D equilibrium relations and the 3D Fourier heat conduction equation for spherical shells are coupled and they trivially can be simplified in those for plates and cylindrical panels. The exponential matrix methodology is used to find the solutions of a… More >

  • Open Access


    Reduced Order Model based on SPOD for Aerothermoelastic Analysis of a Hypersonic Panel

    Chunxiu Ji1, Dan Xie1,*

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.24, No.1, pp. 1-2, 2022, DOI:10.32604/icces.2022.08737

    Abstract This study has established a reduced order model (ROM) based on spectral proper orthogonal decomposition (SPOD) method in order to proceed an aerothermoelastic response analysis of a hypersonic panel. The two-way coupling between aerothermal and aeroelastic systems is applied [1]. Three aspects of POD-ROM are investigated: 1) the selection of snapshots for POD modes; 2) the comparison between classical POD [2] and SPOD [3]; 3) how to find global POD modes in a parameter space of flight altitude and Mach number. The snapshots are sampled from aerothermoelastic response data via the classical Galerkin method. The numerical results show that the… More >

  • Open Access


    A Hybrid Local/Nonlocal Continuum Mechanics Modeling of Damage and Fracture in Concrete Structure at High Temperatures

    Runze Song1, Fei Han1,*, Yong Mei2,*, Yunhou Sun2, Ao Zhang2

    CMES-Computer Modeling in Engineering & Sciences, Vol.133, No.2, pp. 389-412, 2022, DOI:10.32604/cmes.2022.021127

    Abstract This paper proposes a hybrid peridynamic and classical continuum mechanical model for the high-temperature damage and fracture analysis of concrete structures. In this model, we introduce the thermal expansion into peridynamics and then couple it with the thermoelasticity based on the Morphing method. In addition, a thermomechanical constitutive model of peridynamic bond is presented inspired by the classic Mazars model for the quasi-brittle damage evolution of concrete structures under high-temperature conditions. The validity and effectiveness of the proposed model are verified through two-dimensional numerical examples, in which the influence of temperature on the damage behavior of concrete structures is investigated.… More >

  • Open Access


    The Lu-Pister Multiplicative Decomposition Applied to Thermoelastic Geometrically-Exact Rods

    Alexander Humer and Hans Irschik*

    CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1395-1417, 2021, DOI:10.32604/cmes.2021.017944

    Abstract This paper addresses the application of the continuum mechanics-based multiplicative decomposition for thermohyperelastic materials by Lu and Pister to Reissner’s structural mechanics-based, geometrically exact theory for finite strain plane deformations of beams, which represents a geometrically consistent non-linear extension of the linear shear-deformable Timoshenko beam theory. First, the Lu-Pister multiplicative decomposition of the displacement gradient tensor is reviewed in a three-dimensional setting, and the importance of its main consequence is emphasized, i.e., the fact that isothermal experiments conducted over a range of constant reference temperatures are sufficient to identify constitutive material parameters in the stress-strain relations. We address various isothermal… More >

  • Open Access


    Magneto-Thermoelasticity with Thermal Shock Considering Two Temperatures and LS Model

    F. S. Bayones1, S. M. Abo-Dahab2,3, N. S. Hussein4, A. M. Abd-Alla5,*, H. A. Alshehri1

    CMC-Computers, Materials & Continua, Vol.70, No.2, pp. 3365-3381, 2022, DOI:10.32604/cmc.2022.019711

    Abstract The present investigation is intended to demonstrate the magnetic field, relaxation time, hydrostatic initial stress, and two temperature on the thermal shock problem. The governing equations are formulated in the context of Lord-Shulman theory with the presence of bodily force, two temperatures, thermal shock, and hydrostatic initial stress. We obtained the exact solution using the normal mode technique with appropriate boundary conditions. The field quantities are calculated analytically and displayed graphically under thermal shock problem with effect of external parameters respect to space coordinates. The results obtained are agreeing with the previous results obtained by others when the new parameters… More >

  • Open Access


    Numerical Solution of a Problem of Thermal Stresses of a Magnetothermoelastic Cylinder with Rotation by Finite-Difference Method

    F. S. Bayones1, A. M. Abd-Alla2, A. M. Farhan3,4,*

    CMC-Computers, Materials & Continua, Vol.68, No.3, pp. 3339-3352, 2021, DOI:10.32604/cmc.2021.016021

    Abstract The present article deals with the investigation thermal stress of a magnetothermoelastic cylinder subjected to rotation, open or closed circuit, thermal and mechanical boundary conditions. The outer and inner surfaces of the cylinder are subjected to both mechanical and thermal boundary conditions. A The transient coupled thermoelasticity in an infinite cylinder with its base abruptly exposed to a heat flux of a decaying exponential function of time is devised solve by the finite-difference method. The fundamental equations’ system is solved by utilizing an implicit finite-difference method. This current method is a second-order accurate in time and space; it is also… More >

  • Open Access


    A New BEM for Fractional Nonlinear Generalized Porothermoelastic Wave Propagation Problems

    Mohamed Abdelsabour Fahmy1,2,*

    CMC-Computers, Materials & Continua, Vol.68, No.1, pp. 59-76, 2021, DOI:10.32604/cmc.2021.015115

    Abstract The main purpose of the current article is to develop a novel boundary element model for solving fractional-order nonlinear generalized porothermoelastic wave propagation problems in the context of temperature-dependent functionally graded anisotropic (FGA) structures. The system of governing equations of the considered problem is extremely very difficult or impossible to solve analytically due to nonlinearity, fractional order diffusion and strongly anisotropic mechanical and physical properties of considered porous structures. Therefore, an efficient boundary element method (BEM) has been proposed to overcome this difficulty, where, the nonlinear terms were treated using the Kirchhoff transformation and the domain integrals were treated using… More >

  • Open Access


    Model of Fractional Heat Conduction in a Thermoelastic Thin Slim Strip under Thermal Shock and Temperature-Dependent Thermal Conductivity

    F. S. Bayones1, S. M. Abo-Dahab2,*, Ahmed E. Abouelregal3, A. Al-Mullise1, S. Abdel-Khalek1,4, E. M. Khalil1,5

    CMC-Computers, Materials & Continua, Vol.67, No.3, pp. 2899-2913, 2021, DOI:10.32604/cmc.2021.012583

    Abstract The present paper paper, we estimate the theory of thermoelasticity a thin slim strip under the variable thermal conductivity in the fractional-order form is solved. Thermal stress theory considering the equation of heat conduction based on the time-fractional derivative of Caputo of order α is applied to obtain a solution. We assumed that the strip surface is to be free from traction and impacted by a thermal shock. The transform of Laplace (LT) and numerical inversion techniques of Laplace were considered for solving the governing basic equations. The inverse of the LT was applied in a numerical manner considering the… More >

  • Open Access


    Rayleigh Waves Propagation in an Infinite Rotating Thermoelastic Cylinder

    A. M. Farhan1,2,*

    CMC-Computers, Materials & Continua, Vol.67, No.2, pp. 2515-2525, 2021, DOI:10.32604/cmc.2021.014255

    Abstract In this paper, we investigated the inuence of rotating half-space on the propagation of Rayleigh waves in a homogeneous isotropic, generalized thermo-elastic body, subject to the boundary conditions that the surface is traction free. In addition, it is subject to insulating thermal conduction. A general solution is obtained by using Lame’ potential’s and Hankel transform. The dispersion equations has been derived separately for two types of Rayleigh wave propagation properties by solving the equations of motion with appropriate boundary conditions. It is observed that the rotation, frequency and r exert some influence in the homogeneous isotropic medium due to propagation… More >

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