V. S. Kirilyuk

Interaction of an ellipsoidal inclusion with an elliptic crack in an elastic material under triaxial tension

The interaction of an elastic ellipsoidal inclusion with an elliptic crack in an infinite elastic medium under triaxial loading is analyzed. The stress state in the elastic space is represented as a superposition of the principal state and perturbed states, which are due to the presence and interaction of the inclusion and the crack. The analytical solution of the problem is found using the method of equivalent inclusion, the potential of an inhomogeneous ellipsoid, and a system of harmonic functions for an elliptic crack. The effect of triaxial loading on the stress intensity factors is analyzed

THE STRESS STATE OF AN ELASTIC MEDIUM WITH AN ELLIPTIC CRACK AND TWO ELLIPSOIDAL CAVITIES

This paper is a study into the interaction of two triaxial ellipsoidal cavities whose surfaces are under different pressures with an elliptic crack in an infinite elastic medium. The stress state in the elastic space is represented by a superposition of perturbed states due to the presence and interaction of the cavities and the crack. The exact solution of the problem is constructed by using a modified method of equivalent inclusion, the potential of an inhomogeneous ellipsoid, and a system of harmonic functions for the elliptic crack. A numerical analysis is carried out to find how the geometry of the cavities and the crack, the distance between them, and the pressure on their surfaces affect the stress intensity factors

Equilibrium of a Transversally Isotropic Body with an Elliptic Crack under Thermal Action

A nonuniform thermal effect on the surface of an elliptic crack in a transversally isotropic medium is studied. Use is made of the previous result on the analogy between elastic and thermoelastic problems for an arbitrary smooth flat crack in isotropic and transversally isotropic materials. A numerical analysis is performed to study how the stress intensity factors depend on the parameters and orientation of the crack

Interaction of Anisotropic Ellipsoidal Inclusions in an Isotropic Medium under Mechanical Loads and Uniform Heating

Eshelbys equivalent-inclusion method is extended to a finite number of arbitrarily oriented anisotropic ellipsoidal inclusions in an elastic isotropic matrix under polynomial mechanical loading and heating. The interaction of two identical and two different triaxial ellipsoidal inclusions in an elastic medium is studied as numerical examples. In special cases, the results are compared with those obtained by other authors