The Experts below are selected from a list of 150 Experts worldwide ranked by ideXlab platform
Subir Das - One of the best experts on this subject based on the ideXlab platform.
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transient response of collinear Griffith Cracks in a functionally graded strip bonded between dissimilar elastic strips under shear impact loading
Composite Structures, 2021Co-Authors: Ritika Singh, Subir DasAbstract:Abstract This article analyses the interaction between a central and two symmetrically placed collinear Griffith Cracks subjected to transient response under anti-plane shear impact loading . The Cracks are situated in a strip constituted by functionally graded material (FGM) bonded between two dissimilar elastic strips of equal thickness. The material properties of FGM are assumed to vary exponentially as a function of thickness. Applying integral transforms, the boundary value problem reduces to a system of singular integral equations in the Laplace transformed domain. These equations are solved numerically using the Lobatto-Chebyshev collocation quadrature approach. The inverse Laplace transform is used to find the approximate expressions of dynamic stress intensity factors (DSIFs). The striking feature of the article is the study of phenomenal changes of shielding and amplification through dynamic stress magnification factors (DSMFs) at the tips of the Cracks under the sudden impact loading applied at the upper material surface. The effects of impact load applied at different surfaces, positions of Cracks’ axis and the thickness of the strips of the composite material on the possibilities of Cracks’ arrest are depicted graphically for different particular cases.
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investigation of interactions among collinear Griffith Cracks situated in a functionally graded medium under thermo mechanical loading
Journal of Thermal Stresses, 2021Co-Authors: Ritika Singh, Subir DasAbstract:This study deals with the interactions between a central crack and two symmetrically situated collinear Griffith Cracks in an infinite functionally graded medium under thermo-mechanical loading. Th...
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two interfacial collinear Griffith Cracks in thermo elastic composite media
Thermal Science, 2016Co-Authors: P K Mishra, Subir DasAbstract:The objective of the article is to find the stress intensity factors and crack energy for a pair of collinear Griffith Cracks situated at the interface of the two orthotropic materials under steady state temperature field. The problem is reduced to a pair of singular integral equations, which are solved using Jacobi’s polynomials. Numerical computations are carried out for two different pairs of orthotropic materials for different particular cases, which are depicted through figures. The effect of material constants and temperature coefficients on the behavior of physical quantities viz., stress intensity factors and crack energy of the interfacial Cracks is the key feature of the present article.
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interaction of three interfacial Griffith Cracks between bonded dissimilar orthotropic half planes
International Journal of Solids and Structures, 2007Co-Authors: Sriparna Mukherjee, Subir DasAbstract:The paper deals with the interaction of a pair of outer Cracks on a central crack situated at the interface of two dissimilar orthotropic half-planes. The mixed boundary value problem is reduced to solving a pair of simultaneous singular integral equations which have finally been solved numerically by using Jacobi polynomials. The analytical expressions for stress intensity factors at the central crack tip and the expression of the strain energy release rate have been derived for general loading. Numerical values of the interaction effects of the outer Cracks on the central crack have been calculated through stress magnification factors. It is seen that the interaction effects are either shielding or amplification depending on the size of the outer Cracks and their spacing from the central crack.
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interaction of moving interface collinear Griffith Cracks under antiplane shear
International Journal of Solids and Structures, 2006Co-Authors: Subir DasAbstract:The interaction between three moving collinear Griffith Cracks under antiplane shear stress situated at the interface of an elastic layer overlying a different half plane has been studied. Fourier transform and finite Hilbert transform techniques have been employed to solve the problem. Approximate analytical expressions for stress intensity factors at the crack tips have been derived for large thickness of the elastic layer. Numerical results connected to the interaction effect have also been obtained. Depending on the spacing of the Cracks, their common velocity of propagation and the depth of the layer, occurrence of shielding and amplification phenomena of the Cracks have been noticed.
M L Ghosh - One of the best experts on this subject based on the ideXlab platform.
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four coplanar Griffith Cracks moving in an infinitely long elastic strip under antiplane shear stress
Proceedings of the Indian Academy of Sciences - Section A, 1996Co-Authors: J. Sarkar, S C Mandal, M L GhoshAbstract:This paper concerns with the problem of determining the anti-plane dynamic stress distributions around four coplanar finite length Griffith Cracks moving steadily with constant velocity in an infinitely long finite width strip. The two-dimensional Fourier transforms have been used to reduce the mixed boundary value problem to the solution of five integral equations. These integral equations have been solved using the finite Hilbert transform technique to obtain the analytic form of crack opening displacement and stress intensity factors. Numerical results have also been depicted graphically.
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inplane problem of diffraction of elastic waves by a periodic array of coplanar Griffith Cracks
Engineering Fracture Mechanics, 1995Co-Authors: J. Sarkar, M L Ghosh, S C MandalAbstract:This paper represents the analysis of the problem of diffraction of longitudinal waves by a series of periodically spaced coplanar Griffith Cracks in an infinite, isotropic elastic medium. Due to the periodicity of the geometry, the problem with a single crack in a strip with boundaries such that shear stress and normal displacement are zero on them. On use of Fourier transform the mixed boundary value problem for a typical strip has been reduced firstly to the solution of dual integral equations and finally to that of a Fredholm integral equation of the second kind. Numerical values of stress intensity factor and the crack opening displacement have been plotted graphically.
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diffraction of elastic waves by three coplanar Griffith Cracks in an orthotropic medium
International Journal of Engineering Science, 1995Co-Authors: J. Sarkar, S C Mandal, M L GhoshAbstract:Abstract The dynamic response of three co-planar Griffith Cracks situated in an infinite orthotropic medium due to elastic waves incident normally on the Cracks has been treated. The Fourier transform technique has been used to reduce the elastodynamic problem to the solution of a set of four integral equations. These integral equations have been solved by using the finite Hilbert transform technique and Cook's result. The analytical forms of crack opening displacement and stress intensity factors have been derived for low frequency vibration. Numerical results of crack opening displacement and stress intensity factors for several orthotropic materials have been calculated and plotted graphically to display the influence of the material orthotropy.
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interaction of elastic waves with two coplanar Griffith Cracks in an orthotropic medium
Engineering Fracture Mechanics, 1994Co-Authors: J. Sarkar, S C Mandal, M L GhoshAbstract:Abstract The problem of diffraction of normally incident elastic waves by two coplanar Griffith Cracks situated in an infinite orthotropic medium has been analyzed. Fourier and Hubert transforms have been used to solve this mixed boundary value problem. Approximate analytical results for stress intensity factors and crack opening displacement have been derived when the wave lengths are large compared to the crack length. Numerical values of stress intensity factors and the crack opening displacement for several orthotropic materials have been calculated and plotted graphically to show the effect of material orthotropy.
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interaction of elastic waves with a periodic array of coplanar Griffith Cracks in an orthotropic elastic medium
International Journal of Engineering Science, 1994Co-Authors: S C Mandal, M L GhoshAbstract:Abstract The elastodynamic response of a series of periodically spaced coplanar Griffith Cracks in an infinite orthotropic medium due to elastic waves incident normally on the Cracks has been investigated. Due to the periodicity of the geometry, the problem has been reduced to the solution of the problem with a single crack in a strip with boundaries such that shear stress and normal displacement are zero on them. Using Fourier transform the mixed boundary value problem for a typical strip has been reduced firstly to the solution of dual integral equations and finally to that of a Fredholm integral equation of the second kind. Numerical values of stress intensity factor and the crack opening displacement for several orthotropic materials have been calculated and plotted graphically to show the effect of material orthotropy.
Lokenath Debnath - One of the best experts on this subject based on the ideXlab platform.
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on elastodynamical problem of interfacial Griffith Cracks in composite media
International Journal of Engineering Science, 2004Co-Authors: Subir Das, Bichitrananda Patra, Lokenath DebnathAbstract:The plane strain problem of determining stress intensity factors for two equal and parallel moving interfacial Griffith Cracks in composite media consisting of an orthotropic layer bonded two dissimilar orthotropic half planes is considered. The problem is reduced to solution of two pair of simultaneous singular integral equations containing Cauchy kernels. Expressions for stress intensity factor are obtained for the case of a general loading distribution.
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interaction between Griffith Cracks in a sandwiched orthotropic layer
Applied Mathematics Letters, 2003Co-Authors: Subir Das, Lokenath DebnathAbstract:A study is made of the interaction between three coplanar Griffith Cracks which are located symmetrically in the midplane of an orthotropic layer of finite thickness 2h sandwiched between two identical orthotropic half planes. The Fourier transform technique is used to reduce the elastostatic problem to a set of integral equations which have been solved by using the finite Hilbert transform and Cooke's results. Analytical expressions for the stress intensity factors at the tips of Cracks are obtained for large values of h. Numerical results concerning the interaction effects are presented with physical significance. It is shown that interaction effects are either shielding or amplification depending on the location of Cracks, spacing of crack-tips, and the thickness of the layer. The stress magnification factors at the crack-tips are also calculated.
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interaction between three moving Griffith Cracks at the interface of two dissimilar elastic media
Korean Journal of Computational & Applied Mathematics, 2001Co-Authors: Subir Das, Bichitrananda Patra, Lokenath DebnathAbstract:The paper deals with the interaction between three Griffith Cracks propagating under antiplane shear stress at the interface of two dissimilar infinite elastic half-spaces. The Fourier transform technique is used to reduce the elastodynamic problem to the solution of a set of integral equations which has been solved by using the finite Hilbert transform technique and Cooke’s result. The analytical expressions for the stress intensity factors at the crack tips are obtained. Numerical values of the interaction effect have been computed for and results show that interaction effects are either shielding or amplification depending on the location of each crack with respect to other and crack tip spacing.
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stress intensity factors around two co planar Griffith Cracks in an orthotropic layer sandwiched between two identical orthotropic half planes
International Journal of Engineering Science, 2000Co-Authors: S Das, B Patra, Lokenath DebnathAbstract:Abstract An integral transform technique is employed to solve the elastodynamic problem of steady-state propagation of two collinear Griffith Cracks located in an orthotropic elastic layer of finite thickness 2 h sandwiched between two identical orthotropic half planes. For large h analytical expressions for the stress intensity factors are determined up to the order h −4 . Graphical plots of the numerical results are also presented.
S C Mandal - One of the best experts on this subject based on the ideXlab platform.
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p wave diffraction by three collinear Griffith Cracks under normal impact
Waves in Random and Complex Media, 2021Co-Authors: Subhadeep Naskar, Sanatan Jana, S C MandalAbstract:The boundary value problem of P-wave diffraction by three collinear Griffith Cracks under normal impact has been considered. Laplace and Fourier transforms have been applied to convert the problem ...
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moving three collinear Griffith Cracks at orthotropic interface
Journal of Solid Mechanics, 2020Co-Authors: P Mandal, S C MandalAbstract:This work deals with the interaction of P-waves between a moving central crack and a pair of outer Cracks situated at the interface of an orthotropic layer and an elastic half-space. Initially, we considered a two-dimensional elastic wave equation in orthotropic medium. The Fourier transform has been applied to convert the basic problem to solve the set of four integral equations. These set of integral equations have been solved to to get the analytical expressions for the stress intensity factor (SIF) and crack opening displacements (COD) by using the finite Hilbert transform technique and Cooke’s result. The main objective of this work is to investigate the dynamic stress intensity factors and crack opening displacement at the tips of the Cracks. The aims of the study of these physical quantities (SIF, COD) is the prediction of possible arrest of the Cracks within a certain range of crack velocity by monitoring applied load. SIF and COD have been depicted graphically for various types of orthotropic materials. We presented a parametric study to explore the influence of crack growing and propagation. This result is very much applicable in bridges, roads, and buildings fractures.
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four coplanar Griffith Cracks moving in an infinitely long elastic strip under antiplane shear stress
Proceedings of the Indian Academy of Sciences - Section A, 1996Co-Authors: J. Sarkar, S C Mandal, M L GhoshAbstract:This paper concerns with the problem of determining the anti-plane dynamic stress distributions around four coplanar finite length Griffith Cracks moving steadily with constant velocity in an infinitely long finite width strip. The two-dimensional Fourier transforms have been used to reduce the mixed boundary value problem to the solution of five integral equations. These integral equations have been solved using the finite Hilbert transform technique to obtain the analytic form of crack opening displacement and stress intensity factors. Numerical results have also been depicted graphically.
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inplane problem of diffraction of elastic waves by a periodic array of coplanar Griffith Cracks
Engineering Fracture Mechanics, 1995Co-Authors: J. Sarkar, M L Ghosh, S C MandalAbstract:This paper represents the analysis of the problem of diffraction of longitudinal waves by a series of periodically spaced coplanar Griffith Cracks in an infinite, isotropic elastic medium. Due to the periodicity of the geometry, the problem with a single crack in a strip with boundaries such that shear stress and normal displacement are zero on them. On use of Fourier transform the mixed boundary value problem for a typical strip has been reduced firstly to the solution of dual integral equations and finally to that of a Fredholm integral equation of the second kind. Numerical values of stress intensity factor and the crack opening displacement have been plotted graphically.
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diffraction of elastic waves by three coplanar Griffith Cracks in an orthotropic medium
International Journal of Engineering Science, 1995Co-Authors: J. Sarkar, S C Mandal, M L GhoshAbstract:Abstract The dynamic response of three co-planar Griffith Cracks situated in an infinite orthotropic medium due to elastic waves incident normally on the Cracks has been treated. The Fourier transform technique has been used to reduce the elastodynamic problem to the solution of a set of four integral equations. These integral equations have been solved by using the finite Hilbert transform technique and Cook's result. The analytical forms of crack opening displacement and stress intensity factors have been derived for low frequency vibration. Numerical results of crack opening displacement and stress intensity factors for several orthotropic materials have been calculated and plotted graphically to display the influence of the material orthotropy.
J. Sarkar - One of the best experts on this subject based on the ideXlab platform.
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four coplanar Griffith Cracks moving in an infinitely long elastic strip under antiplane shear stress
Proceedings of the Indian Academy of Sciences - Section A, 1996Co-Authors: J. Sarkar, S C Mandal, M L GhoshAbstract:This paper concerns with the problem of determining the anti-plane dynamic stress distributions around four coplanar finite length Griffith Cracks moving steadily with constant velocity in an infinitely long finite width strip. The two-dimensional Fourier transforms have been used to reduce the mixed boundary value problem to the solution of five integral equations. These integral equations have been solved using the finite Hilbert transform technique to obtain the analytic form of crack opening displacement and stress intensity factors. Numerical results have also been depicted graphically.
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inplane problem of diffraction of elastic waves by a periodic array of coplanar Griffith Cracks
Engineering Fracture Mechanics, 1995Co-Authors: J. Sarkar, M L Ghosh, S C MandalAbstract:This paper represents the analysis of the problem of diffraction of longitudinal waves by a series of periodically spaced coplanar Griffith Cracks in an infinite, isotropic elastic medium. Due to the periodicity of the geometry, the problem with a single crack in a strip with boundaries such that shear stress and normal displacement are zero on them. On use of Fourier transform the mixed boundary value problem for a typical strip has been reduced firstly to the solution of dual integral equations and finally to that of a Fredholm integral equation of the second kind. Numerical values of stress intensity factor and the crack opening displacement have been plotted graphically.
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diffraction of elastic waves by three coplanar Griffith Cracks in an orthotropic medium
International Journal of Engineering Science, 1995Co-Authors: J. Sarkar, S C Mandal, M L GhoshAbstract:Abstract The dynamic response of three co-planar Griffith Cracks situated in an infinite orthotropic medium due to elastic waves incident normally on the Cracks has been treated. The Fourier transform technique has been used to reduce the elastodynamic problem to the solution of a set of four integral equations. These integral equations have been solved by using the finite Hilbert transform technique and Cook's result. The analytical forms of crack opening displacement and stress intensity factors have been derived for low frequency vibration. Numerical results of crack opening displacement and stress intensity factors for several orthotropic materials have been calculated and plotted graphically to display the influence of the material orthotropy.
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interaction of elastic waves with two coplanar Griffith Cracks in an orthotropic medium
Engineering Fracture Mechanics, 1994Co-Authors: J. Sarkar, S C Mandal, M L GhoshAbstract:Abstract The problem of diffraction of normally incident elastic waves by two coplanar Griffith Cracks situated in an infinite orthotropic medium has been analyzed. Fourier and Hubert transforms have been used to solve this mixed boundary value problem. Approximate analytical results for stress intensity factors and crack opening displacement have been derived when the wave lengths are large compared to the crack length. Numerical values of stress intensity factors and the crack opening displacement for several orthotropic materials have been calculated and plotted graphically to show the effect of material orthotropy.
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An elastic strip with three co-planar moving Griffith Cracks
Engineering Fracture Mechanics, 1994Co-Authors: A. N. Das, J. SarkarAbstract:Abstract The dynamic anti-plane problem of determining stress and displacement due to three co-planar Griffith Cracks moving steadily at a subsonic speed in an infinite elastic strip has been considered. Employing Fourier integral transform, the problem when the rigidly clamped edges of the strip are pulled apart in opposite directions has been reduced to solving a set of four integral equations. These integral equations have been solved using the finite Hilbert transform technique and Cook's result [Glas. Math. J. 11, 9 (1970)] to obtain the exact form of crack opening displacement and stress intensity factors. Numerical results for stress intensity factors are presented in the form of graphs.
