A boundary element method for analysis of thermoelastic deformations in materials with temperature dependent properties

Matsumoto, Toshiro; Guzik, Artur; Tanaka, Michihiko

doi:10.1002/nme.1412

Cited by 14 publications

(6 citation statements)

References 14 publications

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“…Discretization of integral representation of Navier's equations (2), again employing the DRM, yields the system of equations [11]: The temperature dependent vector {b} on the righthand-side of (19) can be expressed as:…”

Section: Bem Formulation For Non-linear Thermoelasticitymentioning

confidence: 99%

An inverse estimation of multi-dimensional load distributions in thermoelasticity problems via dual reciprocity BEM

et al. 2005

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The paper deals with inverse thermoelasticity problems. A general, robust, and numerically efficient technique, for retrieving the multi-dimensional, highly varying distributions of boundary conditions is presented. In the class of considered inverse problems, both input data and sought-for quantities are usually specified at the domain boundary, only. As a sequence of forward sub-solutions underlies the inverse analysis, the numerical method of choice for solving the field problem is the boundary element method (BEM). The derived inverse technique is capable of retrieving boundary condition distributions in steady state and transient problems. The accuracy and stability of the algorithm are verified by considering problems involving constant, functionally graded, and temperature dependent material properties. Strain components and temperatures, subject to uncertainties, are used as input data. Presented numerical examples show that the method is capable of reconstructing mechanical and thermal loads with reasonable accuracy.

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Section: Bem Formulation For Non-linear Thermoelasticitymentioning

confidence: 99%

An inverse estimation of multi-dimensional load distributions in thermoelasticity problems via dual reciprocity BEM

et al. 2005

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“…Fahmy [2007] used boundary element method to obtain thermal stresses in a nonhomogeneous anisotropic solid. A more extensive applications of boundary element methods may be found in Matsumoto et al [2005]; Fahmy and El-Shahat [2008]; Canelas and Sensale [2010]; Karlis et al [2010]; Hou et al [2011]; Davi and Milazzo [2011]. A completely different approach to handle dynamic problems utilizing static fundamental solutions is the so-called dual reciprocity boundary element method (DRBEM).…”

Section: Introductionmentioning

confidence: 99%

A Time-Stepping Drbem for Magneto-Thermo-Viscoelastic Interactions in a Rotating Nonhomogeneous Anisotropic Solid

Fahmy

2011

Int. J. Appl. Mechanics

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A numerical model based on the dual reciprocity boundary element method (DRBEM) for studying the transient magneto-thermo-viscoelastic stresses in a nonhomogeneous anisotropic solid subjected to a heat source is presented. The formulation is tested through its application to the problem of a solid placed in a constant primary magnetic field acting in the direction of the z-axis and rotating about this axis with a constant angular velocity. In the case of plane deformation, a numerical scheme for the implementation of the method is presented and the numerical computations are carried out for the temperature, displacement components and stress components. The validity of DRBEM is examined by considering a magneto-thermo-viscoelastic solid occupies a rectangular region and good agreement is obtained with existent results. The results obtained are presented graphically to show the effects of inhomogeneity and heat source on the temperature, displacement components and thermal stress components.

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“…El-Naggar, et al [1,2] proposed explicit finite difference scheme to obtain thermal stresses in a non-homogeneous media. The boundary element method is well known for its accuracy and efficiency in stress analysis (see, for example, Brebbia and Nardini [3], Wrobel and Brebbia [4], Partridge, et al [5], Divo and Kassab [6], Gaul, et al [7], Matsumoto, et al [8], Fahmy [9][10][11], Davi and Milazzo [12]).…”

Section: Introductionmentioning

confidence: 99%

Influence of Inhomogeneity and Initial Stress on the Transient Magneto-Thermo-Visco-Elastic Stress Waves in an Anisotropic Solid

Fahmy¹

2011

WJM

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The object of the present paper is to study the transient magneto-thermo-visco-elastic stresses in a non-ho- mogeneous anisotropic solid under initial stress. The system of fundamental equations is solved by means of a dual reciprocity boundary element method (DRBEM). In the case of plane deformation, a numerical scheme for the implementation of the method is presented and the numerical computations are presented graphically to show the effects of initial stress and inhomogeneity on the displacement components and thermal stress components

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A boundary element method for analysis of thermoelastic deformations in materials with temperature dependent properties

Cited by 14 publications

References 14 publications

An inverse estimation of multi-dimensional load distributions in thermoelasticity problems via dual reciprocity BEM

An inverse estimation of multi-dimensional load distributions in thermoelasticity problems via dual reciprocity BEM

A Time-Stepping Drbem for Magneto-Thermo-Viscoelastic Interactions in a Rotating Nonhomogeneous Anisotropic Solid

Influence of Inhomogeneity and Initial Stress on the Transient Magneto-Thermo-Visco-Elastic Stress Waves in an Anisotropic Solid

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