The Experts below are selected from a list of 324 Experts worldwide ranked by ideXlab platform
Eleuterio F Toro - One of the best experts on this subject based on the ideXlab platform.
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musta type upwind fluxes for non Linear Elasticity
International Journal for Numerical Methods in Engineering, 2008Co-Authors: V A Titarev, E Romenski, Eleuterio F ToroAbstract:The present paper is devoted to the construction and comparative study of upwind methods as applied to the system of one-dimensional non-Linear Elasticity equations with particular attention to robustness and accurate resolution of delicate features such as Linearly degenerate fields. Copyright © 2007 John Wiley & Sons, Ltd.
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MUSTA‐type upwind fluxes for non‐Linear Elasticity
International Journal for Numerical Methods in Engineering, 2008Co-Authors: V A Titarev, E Romenski, Eleuterio F ToroAbstract:The present paper is devoted to the construction and comparative study of upwind methods as applied to the system of one-dimensional non-Linear Elasticity equations with particular attention to robustness and accurate resolution of delicate features such as Linearly degenerate fields. Copyright © 2007 John Wiley & Sons, Ltd.
Subrata Mukherjee - One of the best experts on this subject based on the ideXlab platform.
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A local method for solutions in two-dimensional potential theory and Linear Elasticity
International Journal of Solids and Structures, 2004Co-Authors: Salil S. Kulkarni, Subrata Mukherjee, Mircea GrigoriuAbstract:A numerical method called the Boundary Walk Method (BWM) is used to solve problems in two-dimensional potential theory and Linear Elasticity in multiply connected domains. The BWM is a local method in the sense that it directly gives the solution at the point of interest. It is based on a global integral representation of the unknown function in the form of a potential, followed by evaluating the integrals in the resulting series solution using Monte Carlo simulation. Appropriate integral formulations which can be used with the BWM to solve problems in potential theory and Linear Elasticity in multiply-connected domains are presented. Numerical results for some sample problems based on these formulations are also presented.
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Local solutions in potential theory and Linear Elasticity using Monte Carlo methods
Journal of Applied Mechanics, 2003Co-Authors: Salil S. Kulkarni, Subrata Mukherjee, Mircea GrigoriuAbstract:A numerical method called the boundary walk method is described in this paper. The boundary walk method is a local method in the sense that it directly gives the solution at the point of interest. It is based on a global integral representation of the unknown solution in the form of potentials, followed by evaluating the integrals in the resulting series solutions using Monte Carlo simulation. The boundary walk method has been applied to solve interior problems in potential theory with either Dirichlet or Neumann boundary conditions. It has also been applied to solve interior problems in Linear Elasticity with either displacement or traction boundary conditions. Weakly singular integral formulations in Linear Elasticity, to which the boundary walk method has been applied, are also derived. Finally, numerical results, which are computed by applying the boundary walk method to solve some two-dimensional problems over convex domains in potential theory and Linear Elasticity, are presented. These solutions are compared with the known analytical solutions (when available) or with solutions from the standard boundary element method.
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the boundary node method for three dimensional Linear Elasticity
International Journal for Numerical Methods in Engineering, 1999Co-Authors: Mandar K Chati, Subrata Mukherjee, Yu Xie MukherjeeAbstract:The Boundary Node Method (BNM) is developed in this paper for solving three-dimensional problems in Linear Elasticity. The BNM represents a coupling between Boundary Integral Equations (BIE) and Moving Least-Squares (MLS) interpolants. The main idea is to retain the dimensionality advantage of the former and the meshless attribute of the later. This results in decoupling of the ‘mesh’ and the interpolation procedure.For problems in Linear Elasticity, free rigid-body modes in traction prescribed problems are typically eliminated by suitably restraining the body. However, an alternative approach developed recently for the Boundary Element Method (BEM) is extended in this work to the BNM. This approach is based on ideas from Linear algebra to complete the rank of the singular stiffness matrix. Also, the BNM has been extended in the present work to solve problems with material discontinuities and a new procedure has been developed for obtaining displacements and stresses accurately at internal points close to the boundary of a body. Copyright © 1999 John Wiley & Sons, Ltd.
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two dimensional Linear Elasticity by the boundary node method
International Journal of Solids and Structures, 1999Co-Authors: Vasanth S Kothnur, Subrata Mukherjee, Yu Xie MukherjeeAbstract:Abstract This paper presents a further development of the Boundary Node Method (BNM) for 2-D Linear Elasticity. In this work, the Boundary Integral Equations (BIE) for Linear Elasticity have been coupled with Moving Least Square (MLS) interpolants; this procedure exploits the mesh-less attributes of the MLS and the dimensionality advantages of the BIE. As a result, the BNM requires only a nodal data structure on the bounding surface of a body. A cell structure is employed only on the boundary in order to carry out numerical integration. In addition, the MLS interpolants have been suitably truncated at corners in order to avoid some of the oscillations observed while solving potential problems by the BNM ( Mukherjee and Mukherjee, 1997a ) . Numerical results presented in this paper, including those for the solution of the Lame and Kirsch problems, show good agreement with analytical solutions.
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On the corner tensor in three-dimensional Linear Elasticity
Engineering Analysis With Boundary Elements, 1996Co-Authors: Subrata MukherjeeAbstract:The subject of this paper is the corner tensor C that appears in the free term in a boundary integral equation formulation for three-dimensional Linear Elasticity. A general corner, locally composed of piecewise flat and curved surfaces, is considered in explicit fashion. The solid angle at the corner appears in the expression for C. A new formula for the solid angle at a general corner, in terms of line integrals, is derived in this paper. Finally, examples for cones are presented and discussed.
Yu Xie Mukherjee - One of the best experts on this subject based on the ideXlab platform.
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the boundary node method for three dimensional Linear Elasticity
International Journal for Numerical Methods in Engineering, 1999Co-Authors: Mandar K Chati, Subrata Mukherjee, Yu Xie MukherjeeAbstract:The Boundary Node Method (BNM) is developed in this paper for solving three-dimensional problems in Linear Elasticity. The BNM represents a coupling between Boundary Integral Equations (BIE) and Moving Least-Squares (MLS) interpolants. The main idea is to retain the dimensionality advantage of the former and the meshless attribute of the later. This results in decoupling of the ‘mesh’ and the interpolation procedure.For problems in Linear Elasticity, free rigid-body modes in traction prescribed problems are typically eliminated by suitably restraining the body. However, an alternative approach developed recently for the Boundary Element Method (BEM) is extended in this work to the BNM. This approach is based on ideas from Linear algebra to complete the rank of the singular stiffness matrix. Also, the BNM has been extended in the present work to solve problems with material discontinuities and a new procedure has been developed for obtaining displacements and stresses accurately at internal points close to the boundary of a body. Copyright © 1999 John Wiley & Sons, Ltd.
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two dimensional Linear Elasticity by the boundary node method
International Journal of Solids and Structures, 1999Co-Authors: Vasanth S Kothnur, Subrata Mukherjee, Yu Xie MukherjeeAbstract:Abstract This paper presents a further development of the Boundary Node Method (BNM) for 2-D Linear Elasticity. In this work, the Boundary Integral Equations (BIE) for Linear Elasticity have been coupled with Moving Least Square (MLS) interpolants; this procedure exploits the mesh-less attributes of the MLS and the dimensionality advantages of the BIE. As a result, the BNM requires only a nodal data structure on the bounding surface of a body. A cell structure is employed only on the boundary in order to carry out numerical integration. In addition, the MLS interpolants have been suitably truncated at corners in order to avoid some of the oscillations observed while solving potential problems by the BNM ( Mukherjee and Mukherjee, 1997a ) . Numerical results presented in this paper, including those for the solution of the Lame and Kirsch problems, show good agreement with analytical solutions.
V A Titarev - One of the best experts on this subject based on the ideXlab platform.
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musta type upwind fluxes for non Linear Elasticity
International Journal for Numerical Methods in Engineering, 2008Co-Authors: V A Titarev, E Romenski, Eleuterio F ToroAbstract:The present paper is devoted to the construction and comparative study of upwind methods as applied to the system of one-dimensional non-Linear Elasticity equations with particular attention to robustness and accurate resolution of delicate features such as Linearly degenerate fields. Copyright © 2007 John Wiley & Sons, Ltd.
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MUSTA‐type upwind fluxes for non‐Linear Elasticity
International Journal for Numerical Methods in Engineering, 2008Co-Authors: V A Titarev, E Romenski, Eleuterio F ToroAbstract:The present paper is devoted to the construction and comparative study of upwind methods as applied to the system of one-dimensional non-Linear Elasticity equations with particular attention to robustness and accurate resolution of delicate features such as Linearly degenerate fields. Copyright © 2007 John Wiley & Sons, Ltd.
E Romenski - One of the best experts on this subject based on the ideXlab platform.
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musta type upwind fluxes for non Linear Elasticity
International Journal for Numerical Methods in Engineering, 2008Co-Authors: V A Titarev, E Romenski, Eleuterio F ToroAbstract:The present paper is devoted to the construction and comparative study of upwind methods as applied to the system of one-dimensional non-Linear Elasticity equations with particular attention to robustness and accurate resolution of delicate features such as Linearly degenerate fields. Copyright © 2007 John Wiley & Sons, Ltd.
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MUSTA‐type upwind fluxes for non‐Linear Elasticity
International Journal for Numerical Methods in Engineering, 2008Co-Authors: V A Titarev, E Romenski, Eleuterio F ToroAbstract:The present paper is devoted to the construction and comparative study of upwind methods as applied to the system of one-dimensional non-Linear Elasticity equations with particular attention to robustness and accurate resolution of delicate features such as Linearly degenerate fields. Copyright © 2007 John Wiley & Sons, Ltd.
