The Experts below are selected from a list of 67158 Experts worldwide ranked by ideXlab platform
S Rajendran - One of the best experts on this subject based on the ideXlab platform.
-
postbuckling analysis of laminated composite plates using the mesh free kp ritz method
Computer Methods in Applied Mechanics and Engineering, 2006Co-Authors: K M Liew, J Wang, Ming Jen Tan, S RajendranAbstract:Abstract A Ritz method based on kernel Particle Approximation for the field variables is proposed for the postbuckling analysis of laminated composite plates. The first-order shear deformation plate theory (FSDT) is employed to model the plate flexure. The Ritz method is used to obtain the discretized non-linear equations. A geometrically non-linear analysis is used to trace the postbuckling paths of the plate. Typical numerical examples including isotropic plates, and cross-ply and angle-ply laminated composite plates have been solved using the proposed method. The results are in close agreement with the series solution as well as previous finite element results available in the literature.
-
nonlinear analysis of laminated composite plates using the mesh free kp ritz method based on fsdt
Computer Methods in Applied Mechanics and Engineering, 2004Co-Authors: K M Liew, J Wang, Ming Jen Tan, S RajendranAbstract:A mesh-free kp-Ritz method of solution based on the kernel Particle Approximation for the field variables is proposed for the large deflection flexural analysis of laminated composite plates. The first-order shear deformation theory (FSDT) is used for modeling the flexure. The nonlinear solution algorithm is based on the total Lagrangian formulation with Green's strain measures and von Karman assumptions. The incremental form of nonlinear equations is obtained by Taylor series expansion, and Newton's method is used to solve these equations. Test problems involving square and rectangular composite plates with SSSS and CCCC boundary conditions are solved to assess the efficacy of the proposed method. The results are in excellent agreement with the series solution as well as the finite element solution already reported in the literature.
K M Liew - One of the best experts on this subject based on the ideXlab platform.
-
postbuckling analysis of laminated composite plates using the mesh free kp ritz method
Computer Methods in Applied Mechanics and Engineering, 2006Co-Authors: K M Liew, J Wang, Ming Jen Tan, S RajendranAbstract:Abstract A Ritz method based on kernel Particle Approximation for the field variables is proposed for the postbuckling analysis of laminated composite plates. The first-order shear deformation plate theory (FSDT) is employed to model the plate flexure. The Ritz method is used to obtain the discretized non-linear equations. A geometrically non-linear analysis is used to trace the postbuckling paths of the plate. Typical numerical examples including isotropic plates, and cross-ply and angle-ply laminated composite plates have been solved using the proposed method. The results are in close agreement with the series solution as well as previous finite element results available in the literature.
-
nonlinear analysis of laminated composite plates using the mesh free kp ritz method based on fsdt
Computer Methods in Applied Mechanics and Engineering, 2004Co-Authors: K M Liew, J Wang, Ming Jen Tan, S RajendranAbstract:A mesh-free kp-Ritz method of solution based on the kernel Particle Approximation for the field variables is proposed for the large deflection flexural analysis of laminated composite plates. The first-order shear deformation theory (FSDT) is used for modeling the flexure. The nonlinear solution algorithm is based on the total Lagrangian formulation with Green's strain measures and von Karman assumptions. The incremental form of nonlinear equations is obtained by Taylor series expansion, and Newton's method is used to solve these equations. Test problems involving square and rectangular composite plates with SSSS and CCCC boundary conditions are solved to assess the efficacy of the proposed method. The results are in excellent agreement with the series solution as well as the finite element solution already reported in the literature.
A Buonanno - One of the best experts on this subject based on the ideXlab platform.
-
gravitational self force correction to the binding energy of compact binary systems
Physical Review Letters, 2012Co-Authors: Alexandre Le Tiec, Enrico Barausse, A BuonannoAbstract:Using the first law of binary black-hole mechanics, we compute the binding energy $E$ and total angular momentum $J$ of two nonspinning compact objects moving on circular orbits with frequency $\ensuremath{\Omega}$, at leading order beyond the test-Particle Approximation. By minimizing $E(\ensuremath{\Omega})$ we recover the exact frequency shift of the Schwarzschild innermost stable circular orbit induced by the conservative piece of the gravitational self-force. Comparing our results for the coordinate-invariant relation $E(J)$ to those recently obtained from numerical simulations of comparable-mass nonspinning black-hole binaries, we find a remarkably good agreement, even in the strong-field regime. Our findings confirm that the domain of validity of perturbative calculations may extend well beyond the extreme mass-ratio limit.
-
gravitational self force correction to the binding energy of compact binary systems
Physical Review Letters, 2012Co-Authors: Alexandre Le Tiec, Enrico Barausse, A BuonannoAbstract:Using the first law of binary black-hole mechanics, we compute the binding energy E and total angular momentum J of two nonspinning compact objects moving on circular orbits with frequency Ω, at leading order beyond the test-Particle Approximation. By minimizing E(Ω) we recover the exact frequency shift of the Schwarzschild innermost stable circular orbit induced by the conservative piece of the gravitational self-force. Comparing our results for the coordinate-invariant relation E(J) to those recently obtained from numerical simulations of comparable-mass nonspinning black-hole binaries, we find a remarkably good agreement, even in the strong-field regime. Our findings confirm that the domain of validity of perturbative calculations may extend well beyond the extreme mass-ratio limit.
-
the complete non spinning effective one body metric at linear order in the mass ratio
Physical Review D, 2012Co-Authors: Enrico Barausse, A Buonanno, Alexandre Le TiecAbstract:Using the main result of a companion paper, in which the binding energy of a circular-orbit nonspinning compact binary system is computed at leading-order beyond the test-Particle Approximation, the exact expression of the effective-one-body (EOB) metric component ${g}_{tt}^{\mathrm{eff}}$ is obtained through first order in the mass ratio. Combining these results with the recent gravitational self-force calculation of the periastron advance for circular orbits in the Schwarzschild geometry, the EOB metric component ${g}_{rr}^{\mathrm{eff}}$ is also determined at linear order in the mass ratio. These results assume that the mapping between the real and effective Hamiltonians at the second and third post-Newtonian (PN) orders holds at all PN orders. Our findings also confirm the advantage of resumming the PN dynamics around the test-Particle limit if the goal is to obtain a flexible model that can smoothly connect the test-mass and equal-mass limits.
J Wang - One of the best experts on this subject based on the ideXlab platform.
-
postbuckling analysis of laminated composite plates using the mesh free kp ritz method
Computer Methods in Applied Mechanics and Engineering, 2006Co-Authors: K M Liew, J Wang, Ming Jen Tan, S RajendranAbstract:Abstract A Ritz method based on kernel Particle Approximation for the field variables is proposed for the postbuckling analysis of laminated composite plates. The first-order shear deformation plate theory (FSDT) is employed to model the plate flexure. The Ritz method is used to obtain the discretized non-linear equations. A geometrically non-linear analysis is used to trace the postbuckling paths of the plate. Typical numerical examples including isotropic plates, and cross-ply and angle-ply laminated composite plates have been solved using the proposed method. The results are in close agreement with the series solution as well as previous finite element results available in the literature.
-
nonlinear analysis of laminated composite plates using the mesh free kp ritz method based on fsdt
Computer Methods in Applied Mechanics and Engineering, 2004Co-Authors: K M Liew, J Wang, Ming Jen Tan, S RajendranAbstract:A mesh-free kp-Ritz method of solution based on the kernel Particle Approximation for the field variables is proposed for the large deflection flexural analysis of laminated composite plates. The first-order shear deformation theory (FSDT) is used for modeling the flexure. The nonlinear solution algorithm is based on the total Lagrangian formulation with Green's strain measures and von Karman assumptions. The incremental form of nonlinear equations is obtained by Taylor series expansion, and Newton's method is used to solve these equations. Test problems involving square and rectangular composite plates with SSSS and CCCC boundary conditions are solved to assess the efficacy of the proposed method. The results are in excellent agreement with the series solution as well as the finite element solution already reported in the literature.
Ming Jen Tan - One of the best experts on this subject based on the ideXlab platform.
-
postbuckling analysis of laminated composite plates using the mesh free kp ritz method
Computer Methods in Applied Mechanics and Engineering, 2006Co-Authors: K M Liew, J Wang, Ming Jen Tan, S RajendranAbstract:Abstract A Ritz method based on kernel Particle Approximation for the field variables is proposed for the postbuckling analysis of laminated composite plates. The first-order shear deformation plate theory (FSDT) is employed to model the plate flexure. The Ritz method is used to obtain the discretized non-linear equations. A geometrically non-linear analysis is used to trace the postbuckling paths of the plate. Typical numerical examples including isotropic plates, and cross-ply and angle-ply laminated composite plates have been solved using the proposed method. The results are in close agreement with the series solution as well as previous finite element results available in the literature.
-
nonlinear analysis of laminated composite plates using the mesh free kp ritz method based on fsdt
Computer Methods in Applied Mechanics and Engineering, 2004Co-Authors: K M Liew, J Wang, Ming Jen Tan, S RajendranAbstract:A mesh-free kp-Ritz method of solution based on the kernel Particle Approximation for the field variables is proposed for the large deflection flexural analysis of laminated composite plates. The first-order shear deformation theory (FSDT) is used for modeling the flexure. The nonlinear solution algorithm is based on the total Lagrangian formulation with Green's strain measures and von Karman assumptions. The incremental form of nonlinear equations is obtained by Taylor series expansion, and Newton's method is used to solve these equations. Test problems involving square and rectangular composite plates with SSSS and CCCC boundary conditions are solved to assess the efficacy of the proposed method. The results are in excellent agreement with the series solution as well as the finite element solution already reported in the literature.
