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Arabinda Roy

Bio: Arabinda Roy is an academic researcher from University of Calcutta. The author has contributed to research in topics: Half-space & Displacement field. The author has an hindex of 7, co-authored 15 publications receiving 103 citations.

Papers
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Journal ArticleDOI
TL;DR: In this article, the integral equation method was used to obtain the scattered field of a normally incident plane wave from an elliptic crack embedded in an isotropic elastic medium, and it was shown that the determination of the diffracted field depends on the solution of integro-differential equation.

16 citations

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TL;DR: In this paper, a recently developed integral equation method is used to solve the problem of interaction between coplanar, elliptic cracks under normal loading, where the pair of dual integral equations in a Cartesian system is first transformed to four sets of infinite systems of Fredholm integral equations of the second kind in a cylindrical polar coordinate system.

15 citations

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TL;DR: In this paper, an earthquake source is simulated as a simple finite source, and the transient response of the surface displacement of an elastic half space due to the above internal source is calculated, using a series of transformations, followed by the traditional Cagniard-de Hoop technique.
Abstract: An earthquake source has been simulated as a simple finite source, i.e., normal pressure acting over an inclined fault plane. The transient response of the surface displacement of an elastic half space due to the above internal source is calculated. A series of transformations, followed by the traditional Cagniard–de Hoop technique, are used to compute the transient response. Various wave arrivals are discussed. Numerical computations bring out the special character of the finite source vis-a-vis the point source. The originality of the paper lies in the fact that for the first time an exact computation of the surface response due to an inclined finite source has been computed by Cagniard’s approach.

11 citations

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TL;DR: In this paper, the authors considered the effect of the free surface on the stress distribution of an elliptic crack aligned parallel to the free boundary and at a depth h below it.

11 citations

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TL;DR: In this article, the Cagniard De-Hoop technique was used to generate a pulse in an elastic half space by impulsive normal pressure over a circular area on the surface.

9 citations


Cited by
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Journal ArticleDOI
TL;DR: In this article, the authors analyzed the motion of an edge dislocation starting from rest and moving thereafter nonuniformly on its slipplane by means of Laplace transforms in space and time, with detailed treatment of the singularities involved.
Abstract: The motion of an edge dislocation starting from rest and moving thereafter nonuniformly on its slip-plane is analyzed by means of Laplace transforms in space and time, with detailed treatment of the singularities involved. The stress and particle velocities are derived in the form of an integral over the history of the motion in the case of a general motion and in closed form in the special case of a dislocation starting from rest and moving with constant velocity thereafter.

58 citations

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TL;DR: In this paper, high speed dislocations have been identified as the dominant feature governing the plastic response of crystalline materials subjected to high strain rates, controlling deformation and failure.
Abstract: High speed dislocations have long been identified as the dominant feature governing the plastic response of crystalline materials subjected to high strain rates, controlling deformation and failure...

43 citations

Journal ArticleDOI
Jacob Aboudi1
TL;DR: In this paper, a numerical treatment of body forces which are equivalent to seismic sources in elastic media is given, which allows the formulation of sources of different orders and with different spatial and temporal dependence.
Abstract: A numerical treatment of body forces which are equivalent to seismic sources in elastic media is given. This treatment allows the formulation of sources of different orders and with different spatial and temporal dependence. It includes internal sources having different extensions in different directions in space; the internal sources can be located arbitrarily close to a free surface or an interface. The method also handles distributed surface forces acting on a finite area. Complete solutions, calculated for impulsive sources of first, second, and third order, buried in an elastic half‐space and extending over a finite region, and for a distributed surface loading, are illustrated.

37 citations

Journal ArticleDOI
TL;DR: In this article, the authors proposed an approach to determination of the stress-strain state of an infinite body with parallel time-harmonic loaded cracks using the superposition of boundary integral equations with Helmholtz potential singularity, the displacement jumps across the crack faces being the unknown boundary quantities.

32 citations

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TL;DR: In this paper, an improved approach was developed for calculating the phase velocity and the attenuation of ultrasonic waves in a material containing distributed penny-shaped cracks, where the effects of neighboring cracks on a reference crack were approximated by the triads of double forces of strengths proportional to the crack opening volumes, and located at the geometrical centers of the cracks.

24 citations