H.S. Saxena

Stress intensity factor for the cylindrical interface crack between nonhomogeneous coaxial finite elastic cylinders

Abstract The problem of determining the stress intensity factor for a cylindrical interface crack between two dissimilar nonhomogeneous coaxial finite elastic cylinders under axially symmetric longitudinal shear stress is considered. The mixed boundary conditions lead to a pair of dual series equations which are reduced to a Fredholm integral equation of the second kind and then finally to a system of algebraic equations. Numerical values of the stress intensity factor are presented graphically.

A moving Griffith crack at the interface of two dissimilar elastic layers

Abstract The anti-plane shear problem of a Griffith crack traveling with a constant velocity at the interface of two dissimilar isotropic elastic layers is considered. Integral transform method is used to reduce the problem to the solution of a singular integral equation which is further reduced, by using Chebyshev polynomials, to a system of algebraic equations. The results for the particular cases of a moving Griffith crack at the interface of a layer and a half-space and two half-spaces are derived. Numerical results for the stress intensity factor are displayed graphically.

Generalized magnetothermoelastic waves in an infinite elastic solid with a cylindrical cavity

In this article, we deal with the application of generalized thermoelasticity, based on the theories of Lord and Shulman and of Green and Lindsay, to solve a one-dimensional problem related to magnetothermoelastic waves produced by a thermal shock in an infinite elastic solid with a cylindrical cavity. Laplace transform technique is employed to solve the set of basic equations. Analytical results are presented in the case of generalized thermoelasticity. Approximate small-time solutions are obtained in each case. Numerical results for displacement, temperature, and stresses are presented in the form of tables.

EIGENVALUE APPROACH TO COUPLED THERMOELASTICITY

Abstract This paper deals with the general problem in axisymmetric and plane strain cases in coupled thermoelasticity by employing the algebraic eigenvalue approach. In this approach, the original structure of the problem is retained and the use of potential function is avoided. Examples of an infinite space and a half-space are presented to illustrate the application. The obtained results can be used for a broad class of problems in coupled thermoelasticity.

Griffith crack at the interface of two orthotropic elastic layers

Abstract The problem of a Griffith crack at the interface of two orthotropic elastic layers has been considered. The method of Fourier transforms is employed and the problem is reduced to the solution of a system of singular integral equations. The stress intensity factors have been calculated numerically and displayed graphically.

Annular crack surrounding an elastic fibre in transversely isotropic elasticity

Abstract The axisymmetric problem of an infinitely long transversely isotropic elastic fibre perfectly bonded to a dissimilar transversely isotropic elastic matrix containing an annular crack is considered. The annular crack, surrounding the fibre, is subjected to prescribed longitudinal tension. A potential function approach is used to find the solution of the basic equations. The mixed boundary value problem is reduced to the solution of a singular integral equation, which is further reduced, by using Chebyshev polynomials, to a system of algebraic equations.

A Penny-shaped crack at the interface of two bonded dissimilar transversely isotropic elastic half-spaces

Abstract This paper deals with the problem of determining the stress intensity factors when a penny-shaped crack 0 ⩽ r ⩽ 1, z = 0 is located at the interface of two bonded dissimilar transversely isotropic elastic half-spaces. Analytical solutions for contact stresses, stress intensity factors and difference in displacement components near the edge of the crack are obtained. Study of a particular case where the crack is opened by a constant internal pressure is also presented.

Penny-shaped interface crack between dissimilar nonhomogeneous elastic layers under axially symmetric torsion

SummaryThe problem of axially symmetric torsion for dissimilar nonhomogeneous bonded elastic layers containing a penny-shaped interface crack is considered. The mixed boundary value problem is reduced to solving a Fredholm integral equation of the second kind. The Fredholm integral equation is solved numerically by reducing it to a system of simultaneous algebraic equations. Numerical results for the stress intensity factor are presented in the form of graphs.

Antiplanar shear problem for a crack between dissimilar nonhomogeneous isotropic elastic layers

Abstract This paper deals with the problem of determining the stress intensity factor when two dissimilar nonhomogeneous bonded elastic layers have a crack at the interface. It is assumed that the faces of the crack are subjected to prescribed antiplane shear stress. The mixed boundary value problem is reduced to a singular integral equation of the second kind which is further reduced by using Chebyshev polynomials, to a system of algebraic equations. Numerical results for the stress intensity factor are presented in the form of graphs.

Half-space problem in one-dimensional generalized magnetothermoelasticity

The theory of generalized thermoelasticity is used to solve the problem related to magnetothermoelastic waves produced by thermal shock in a half-space possessing finite electric conductivity. Eigenvalue approach is applied to obtain solution of the basic equations. Approximate small time solution is obtained by using Laplace transform method.