Yui-Chuin Shiah^{1, *}, Sheng-Chi Huang¹, M. R. Hematiyan²

CMC-Computers, Materials & Continua, Vol.64, No.2, pp. 701-727, 2020, DOI:10.32604/cmc.2020.010417

Abstract In engineering practice, analysis of interfacial thermal stresses in composites is a crucial task for assuring structural integrity when sever environmental temperature changes under operations. In this article, the directly transformed boundary integrals presented previously for treating generally anisotropic thermoelasticity in two-dimension are fully regularized by a semi-analytical approach for modeling thin multi-layers of anisotropic/isotropic composites, subjected to general thermal loads with boundary conditions prescribed. In this process, an additional difficulty, not reported in the literature, arises due to rapid fluctuation of an integrand in the directly transformed boundary integral equation. In conventional analysis, thin adhesives are usually neglected due… More >

Fatima Bayones¹, Abdelmooty Abd-Alla^{2, *}, Raghad Alfatta³, Hoda Al-Nefaie³

CMC-Computers, Materials & Continua, Vol.62, No.2, pp. 551-567, 2020, DOI:10.32604/cmc.2020.08420

Abstract The propagation of thermoelastic waves in a homogeneous, isotropic elastic semi-infinite space is subjected to rotation and initial stress, which is at temperature T₀ - initially, and whose boundary surface is subjected to heat source and load moving with finite velocity. Temperature and stress distribution occurring due to heating or cooling and have been determined using certain boundary conditions. Numerical results have been given and illustrated graphically in each case considered. Comparison is made with the results predicted by the theory of thermoelasticity in the absence of rotation and initial stress. The results indicate that the effect of the rotation… More >

Najat A. Alghamdi¹, Hamdy M. Youssef^2,3,*

FDMP-Fluid Dynamics & Materials Processing, Vol.15, No.5, pp. 597-611, 2019, DOI:10.32604/fdmp.2019.05131

Abstract A mathematical model is elaborated for a thermoelastic infinite body with a spherical cavity. A generalized set of governing equations is formulated in the context of three different models of thermoelasticity: the Biot model, also known as “coupled thermoelasticity” model; the Lord-Shulman model, also referred to as “generalized thermoelasticity with one-relaxation time” approach; and the Green-Lindsay model, also called “generalized thermoelasticity with two-relaxation times” approach. The Adomian’s decomposition method is used to solve the related mathematical problem. The bounding plane of the cavity is subjected to harmonic thermal loading with zero heat flux and strain. Numerical results for the temperature,… More >

A.V. Ekhlakov², O.M. Khay², Ch. Zhang², J. Sladek³, V. Sladek³

Structural Durability & Health Monitoring, Vol.6, No.3&4, pp. 329-350, 2010, DOI:10.3970/sdhm.2010.006.329

Abstract In this paper, transient crack analysis in two-dimensional, isotropic, continuously non-homo -ge -neous and linear elastic functionally graded materials is presented. A boundary-domain element method based on boundary-domain integral representations is developed. The Laplace-transform technique is utilized to eliminate the dependence on time. Laplace-transformed fundamental solutions of linear coupled thermoelasticity for isotropic, homogeneous and linear elastic solids are applied to derive boundary-domain integral equations. The numerical implementation is performed by using a collocation method for the spatial discretization. The time-dependent numerical solutions are obtained by the Stehfest's inversion algorithm. For an edge crack in a finite domain under thermal shock,… More >

Mohamed I. A. Othman¹, Magda E. M. Zidan¹, Mohamed I. M. Hilal¹

CMC-Computers, Materials & Continua, Vol.40, No.3, pp. 179-201, 2014, DOI:10.3970/cmc.2014.040.179

Abstract This investigation is aimed to study the two dimensional problem of thermoelastic medium with voids under the effect of the gravity. The modulus of elasticity is taken as a linear function of the reference temperature and employing the two-temperature generalized thermoelasticity. The problem is studied in the context of Green-Naghdi (G-N) theory of types II and III. The normal mode analysis method is used to obtain the exact expressions for the physical quantities which have been shown graphically by comparison between two types of the (G-N) theory in the presence and the absence of the gravity, the temperature dependent properties… More >

Victor A. Eremeyev

The International Conference on Computational & Experimental Engineering and Sciences, Vol.19, No.3, pp. 81-82, 2011, DOI:10.3970/icces.2011.019.081

Abstract The aim of this work is to discuss the nonlinear theory of shells made of material undergoing phase transitions (PT). The interest to mechanics and thermodynamics of thin-walled structures with PT is motivated by the recent investigations of thin martensitic films and biological membranes. Here we present statements of the boundary-value problems of shells and plates with PT within the dynamically and kinematically exact theory of shells. In this shell theory the translation and rotation fields are the kinematically independent variables. The theoretical model is illustrated by the examples of thin circular cylindrical shell and circular plate made of two-phase… More >

J. Sladek¹, V. Sladek¹, Ch. Zhang², C.L. Tan³

The International Conference on Computational & Experimental Engineering and Sciences, Vol.3, No.2, pp. 87-92, 2007, DOI:10.3970/icces.2007.003.087

Abstract In this paper, the Meshless Local Petrov-Galerkin (MLPG) method for two-dimensional (2-d), linear and transient coupled thermoelastic analysis in orthotropic solids is presented. To eliminate the time-dependence in the governing equations, the Laplace-transform technique is used. Local integral equations are derived for small circular sub-domains which surround nodal points distributed over the analyzed domain. As for the spatial variations of the displacements and temperature, they are approximated by the Moving Least-Squares (MLS) scheme. More >

Y.C. Shiah¹, T.L. Guao¹, C.L. Tan²

CMES-Computer Modeling in Engineering & Sciences, Vol.7, No.3, pp. 321-338, 2005, DOI:10.3970/cmes.2005.007.321

Abstract It is well known in elastic stress analysis using the boundary element method (BEM) that an additional volume integral appears in the basic form of the boundary integral equation if thermal effects are considered. In order to restore this general numerical tool as a truly boundary solution technique, it is perhaps most desirable to transform this volume integral exactly into boundary ones. For general 2D anisotropic thermo-elastostatics without heat sources, this was only achieved very recently. The presence of concentrated heat sources in the domain, however, leads to singularities at these points that pose additional difficulties in the volume-to-surface integral… More >

Cong Xie¹, Guangyu Shi^1,2

CMES-Computer Modeling in Engineering & Sciences, Vol.108, No.6, pp. 397-427, 2015, DOI:10.3970/cmes.2015.108.397

Abstract The static and dynamic thermoelastic analyses of the beams made of functionally graded materials (FGMs) are presented in this paper. Based on the refined third-order shear deformation beam theory proposed by the senior author and the variational principle, the governing equations of FG beams are deduced. The influence of temperature on Young’s modulus and coefficients of thermal expansion is taken into account when FG beams are subjected to thermal loading. The resulting governing equations are a system of the eighth-order differential equations in terms of displacement variables, and the thermoelastic coupling is included in the equations. An accurate and reliable… More >

Jan Sladek¹, Vladimir Sladek¹, Peter Stanak¹

CMES-Computer Modeling in Engineering & Sciences, Vol.106, No.4, pp. 229-262, 2015, DOI:10.3970/cmes.2015.106.229

Abstract The scaled boundary finite element method (SBFEM) is presented to study thermoelastic problems in materials with voids. The SBFEM combines the main advantages of the finite element method (FEM) and the boundary element method (BEM). In this method, only the boundary is discretized with elements leading to a reduction of spatial dimension by one. It reduces computational efforts in mesh generation and CPU. In contrast to the BEM, no fundamental solution is required, which permits to analyze general boundary value problems, where the conventional BEM cannot be applied due to missing fundamental solution. The computational homogenization technique is applied for… More >