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Article
Elastic State of a Sliding Short Fiber Inclusion in a Three-Dimensional Matrix
The three-dimensional problem of load transfer between an unbounded matrix and an arbitrarily shaped inclusion that are in sliding contact is solved using the theory of elasticity and the boundary-element meth...
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Article
Interaction between a compliant disk-shaped inclusion and a crack upon incidence of an elastic wave
The propagation of harmonic elastic wave in an infinite three-dimensional matrix containing an interacting low-rigidity disk-shaped inclusion and a crack. The problem is reduced to a system of boundary integra...
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Article
Numerical solution of three-dimensional static problems of elasticity for a body with a noncanonical inclusion
A boundary-element scheme is proposed for the numerical determination of the stress-strain state of a three-dimensional composite body, which is an elastic inclusion of arbitrary shape perfectly bonded to an i...
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Article
Stress concentration around a spheroidal crack caused by a harmonic wave incident at an arbitrary angle
A method is proposed to study the stress concentration around a shallow spheroidal crack in an infinite elastic body. The stress concentration is due to the diffraction of a low-frequency plane longitudinal wa...
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Article
Stress Concentration Near an Elliptic Crack in the Interface Between Elastic Bodies under Steady-State Vibrations
The paper addresses the three-dimensional problem on steady-state vibrations of an elastic body consisting of two perfectly joined dissimilar half-spaces with an elliptic mode I crack located in one of the hal...
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Article
Opening-Function Simulation of the Three-Dimensional Nonstationary Interaction of Cracks in an Elastic Body
Integral relations between three-dimensional dynamic displacements (stresses) in an infinite elastic body with arbitrarily located plane cracks and discontinuities in the displacements of the opposite crack fa...
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Article
Boundary-integral formulation of dynamic nonstationary problems for an elastic space with a mathematical cut along a nonclosed Lyapunov surface
By satisfying the boundary conditions on the discontinuity surfaces using specially constructed integral representations of the solutions, we obtain a system of boundary integral equations for the functions of...
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Article
Boundary-integral formulation of three-dimensional problems of steady vibrations of an infinite body with a crack located on an open Lyapunov surface
We construct integral representations of the solutions of three-dimensional problems in the form of a combination of Helmholtz potentials [1] whose coefficients are determined in terms of the geometric paramet...
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Article
Dynamic interaction of parallel cracks in elastic bodies
We study time dependences of the stress intensity factors in an infinite isotropic elastic body with parallel cracks whose faces are subjected to impact loads. The original problem is reduced to the solution o...
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Article
Application of classical wave potentials for the solution of three-dimensional dynamical problems concerning a crack in an elastic medium
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Article
The interaction of coplanar cracks in an infinite body caused by steady external loads
We study the interaction of coplanar cracks in an infinite body such that the surfaces of the cracks are loaded with tensile and shear strains that vary harmonically with time. We give the graphs of the depend.....
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Article
Interaction between coplanar cracks under dynamic shock loading
A study is made on the interaction between coplanar cracks in an unbounded body when dynamic loads act on thier surfaces that are described as Heaviside or Dirac delta functions. Graphs are given relating the ...
