The thermal stresses due to a uniform heat flow past two collinear cracks

Tweed, J.; Melrose, G.

doi:10.1016/0020-7225(88)90064-x

Cited by 8 publications

(2 citation statements)

References 1 publication

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“…[1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]), mainly due to the widespread use of such materials in high-temperature environments. The increasing development of high-strength composite materials has driven researchers to focus on the effects of anisotropy in the thermomechanical fields for fractured bodies.…”

Section: Introductionmentioning

confidence: 99%

Thermally conductive elliptic inhomogeneities in 2D anisotropic solids

Ursescu

Dascalu

2006

Arch Appl Mech

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The problem of a thermally conductive elliptic hole embedded in an anisotropic thermoelastic solid under a remote uniform heat flow is considered. For the plane problem, solutions are derived by the use of an extended thermoelastic version of the Stroh formalism. The hoop stress around the elliptic hole is obtained in an explicit real form. We analyze the influence of the interior thermal conductivity and the cavity thickness on the temperature and stress on the boundary points of the hole. By comparison with the thermally insulated cavity, we show that the consideration of the interior conductivity may lead to significantly different thermomechanical behaviors.

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Section: Introductionmentioning

confidence: 99%

Thermally conductive elliptic inhomogeneities in 2D anisotropic solids

Ursescu

Dascalu

2006

Arch Appl Mech

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“…This is due to their applications in industry in general and the fabrication of electronic components in particular. Most of the studies of dynamical crack problems are done using the equations of the coupled or even uncoupled theories of thermoelasticity (see, e.g., [16], [17], and [18]). This is suitable for most situations where long time effects are sought.…”

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confidence: 99%

A Mode-I Crack Problem for an Infinite Space in Generalized Thermoelasticity

Sherief

El‐Maghraby

2005

Journal of Thermal Stresses

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In this work, we solve a dynamical problem of an infinite space with a finite linear crack inside the medium. The Fourier and Laplace transform techniques are used. The problem is reduced to the solution of a system of four dual integral equations. The solution of these equations is shown to be equivalent to the solution of a Fredholm integral equation of the first kind. This integral equation is solved numerically using the method of regularization. The inverse Laplace transforms are obtained numerically using a method based on Fourier expansion techniques. Numerical values for the temperature, stress, displacement, and the stress intensity factor are obtained and represented graphically.During the second half of the 20th century, nonisothermal problems of the theory of elasticity became increasingly important. This is due mainly to their many applications in widely diverse fields. First, the high velocities of modern aircraft give rise to aerodynamic heating, which produces intense thermal stresses, reducing the strength of the aircraft structure. Second, in the nuclear field, the extremely high temperatures and temperature gradients originating inside nuclear reactors influence their design and operations [1]. Danilovskaya [2] was the first to solve an actual problem in the theory of elasticity with nonuniform heat. The problem was in the context of what became known as the theory of uncoupled thermoelasticity. In this theory, the temperature is governed by a parabolic partial differential equation, which does not contain any elastic terms. It was not much later that many attempts were made to remedy the shortcomings of this theory.Biot [3] formulated the theory of coupled thermoelasticity to eliminate the paradox inherent in the classical uncoupled theory that elastic changes have no effect on the temperature. The heat equations for both theories, however, are of the

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The linear steady thermoelastic problem for a strip with two collinear cracks parallel to its edges

Davidson

1993

Engineering Fracture Mechanics

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The thermal stresses due to a uniform heat flow past two collinear cracks

Cited by 8 publications

References 1 publication

Thermally conductive elliptic inhomogeneities in 2D anisotropic solids

Thermally conductive elliptic inhomogeneities in 2D anisotropic solids

A Mode-I Crack Problem for an Infinite Space in Generalized Thermoelasticity

The linear steady thermoelastic problem for a strip with two collinear cracks parallel to its edges

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