Transverse Coordinate

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Olivier Polit - One of the best experts on this subject based on the ideXlab platform.

  • thermal and thermo mechanical solution of laminated composite beam based on a variables separation for arbitrary volume heat source locations
    Applied Mathematical Modelling, 2017
    Co-Authors: P. Vidal, Isabelle Ranc, Laurent Gallimard, Olivier Polit
    Abstract:

    In this work, a method to compute explicit thermal solutions for laminated and sandwich beams with arbitrary heat source location is developed. The temperature is written as a sum of separated functions of the axial Coordinate x , the Transverse Coordinate z and the volumetric heat source location x 0. The derived non-linear problem implies an iterative process in which three 1D problems are solved successively at each iteration. In the thickness direction, a fourth-order expansion in each layer is considered. For the axial description , classical Finite Element method is used. The presented approach is assessed on various laminated and sandwich beams and comparisons with reference solutions with a fixed heat source location are proposed. Based on the accurate results of the thermal analysis , thermo-mechanical response is also addressed using also a separated representation.

  • modeling of composite plates based on reissner s mixed variational theorem with variables separation
    Composites Part B-engineering, 2016
    Co-Authors: P. Vidal, Laurent Gallimard, Olivier Polit
    Abstract:

    In this work, the modeling of laminated composite plates is performed through a variables separation approach based on a Reissner's Variational Mixed Theorem (RMVT). Both the displacement and trans-verse stress fields are approximated as a sum of separated functions of the in-plane Coordinates x,y and the Transverse Coordinate z. This choice yields to a non-linear problem that can be solved by an iterative process. That consists of solving a 2D and 1D problem successively at each iteration. In the thickness direction, a fourth-order expansion in each layer is considered. For the in-plane description, classical Finite Element method is used. Numerical examples involving several representative laminates are addressed to show the accuracy of the present LayerWise (LW) method. It is shown that it can provide quasi-3D results less costly than classical LW computations. In particular, the estimation of the Transverse stresses which are of major importance for damage analysis is very good.

  • assessment of variable separation for finite element modeling of free edge effect for composite plates
    Composite Structures, 2015
    Co-Authors: P. Vidal, Laurent Gallimard, Olivier Polit
    Abstract:

    This paper deals with the assessment of an approach based on the separation of variables for the modeling of the free edge effect in laminated composite plates. This is of major importance for damage of composite structures. The displacement field is approximated as a sum of separated functions of the in-plane Coordinates x,y and the Transverse Coordinate z. This choice yields to an iterative process that consists of solving a 2D and 1D problem successively at each iteration. In the thickness direction, a fourth-order expansion in each layer is considered. For the in-plane description, classical finite element method is used. Numerical examples involving several representative laminates subjected to uniaxial tension are addressed to show the capability of the present LW method to capture the steep Transverse stress gradients occurring in the vicinity of free edges. It is shown that it can provide quasi-3D results less costly than 3D FEM computations.

Narinder Kumar - One of the best experts on this subject based on the ideXlab platform.

  • charge and longitudinal momentum distributions in Transverse Coordinate space
    Physical Review D, 2016
    Co-Authors: Chandan Mondal, Narinder Kumar, Harleen Dahiya, Dipankar Chakrabarti
    Abstract:

    We investigate the charge distributions for the $u$ and $d$ quarks in Transverse Coordinate space in a light-front quark-diquark model for the nucleons using the overlaps of the wave functions constructed from the soft-wall AdS/QCD prediction. We have also obtained the charge distributions for proton and neutron in Transverse Coordinate space and compared it with the distributions obtained in impact-parameter space. Further, we study the longitudinal momentum distributions using the wave functions in the Transverse Coordinate space. We have also shown the explicit fermionic and bosonic contributions for different struck $u$ and $d$ quarks.

  • charge and magnetization densities in Transverse Coordinate and impact parameter space
    Physical Review D, 2014
    Co-Authors: Narinder Kumar, Harleen Dahiya
    Abstract:

    Electromagnetic form factors obtained from the overlap of light front wave functions (LFWFs) have been used to study the Transverse densities of charge and magnetization. The calculations have been carried out to develop a relation between the charge distribution of the quarks inside nucleon in the Transverse Coordinate space as well as in the impact parameter space. When a comparison is carried out, it is found that the Transverse distribution in the impact parameter space, where the longitudinal momentum fraction $x$ can be fixed, falls off faster than the spatial distribution in the Transverse Coordinate space where there is some contribution from the longitudinal momentum as well. The anomalous magnetization density of the nucleon has also been discussed. Further, we have also presented the results of the QCD Transverse AdS charge density inspired from the holographic QCD model.

Harleen Dahiya - One of the best experts on this subject based on the ideXlab platform.

  • charge and longitudinal momentum distributions in Transverse Coordinate space
    Physical Review D, 2016
    Co-Authors: Chandan Mondal, Narinder Kumar, Harleen Dahiya, Dipankar Chakrabarti
    Abstract:

    We investigate the charge distributions for the $u$ and $d$ quarks in Transverse Coordinate space in a light-front quark-diquark model for the nucleons using the overlaps of the wave functions constructed from the soft-wall AdS/QCD prediction. We have also obtained the charge distributions for proton and neutron in Transverse Coordinate space and compared it with the distributions obtained in impact-parameter space. Further, we study the longitudinal momentum distributions using the wave functions in the Transverse Coordinate space. We have also shown the explicit fermionic and bosonic contributions for different struck $u$ and $d$ quarks.

  • charge and magnetization densities in Transverse Coordinate and impact parameter space
    Physical Review D, 2014
    Co-Authors: Narinder Kumar, Harleen Dahiya
    Abstract:

    Electromagnetic form factors obtained from the overlap of light front wave functions (LFWFs) have been used to study the Transverse densities of charge and magnetization. The calculations have been carried out to develop a relation between the charge distribution of the quarks inside nucleon in the Transverse Coordinate space as well as in the impact parameter space. When a comparison is carried out, it is found that the Transverse distribution in the impact parameter space, where the longitudinal momentum fraction $x$ can be fixed, falls off faster than the spatial distribution in the Transverse Coordinate space where there is some contribution from the longitudinal momentum as well. The anomalous magnetization density of the nucleon has also been discussed. Further, we have also presented the results of the QCD Transverse AdS charge density inspired from the holographic QCD model.

P. Vidal - One of the best experts on this subject based on the ideXlab platform.

  • thermal and thermo mechanical solution of laminated composite beam based on a variables separation for arbitrary volume heat source locations
    Applied Mathematical Modelling, 2017
    Co-Authors: P. Vidal, Isabelle Ranc, Laurent Gallimard, Olivier Polit
    Abstract:

    In this work, a method to compute explicit thermal solutions for laminated and sandwich beams with arbitrary heat source location is developed. The temperature is written as a sum of separated functions of the axial Coordinate x , the Transverse Coordinate z and the volumetric heat source location x 0. The derived non-linear problem implies an iterative process in which three 1D problems are solved successively at each iteration. In the thickness direction, a fourth-order expansion in each layer is considered. For the axial description , classical Finite Element method is used. The presented approach is assessed on various laminated and sandwich beams and comparisons with reference solutions with a fixed heat source location are proposed. Based on the accurate results of the thermal analysis , thermo-mechanical response is also addressed using also a separated representation.

  • modeling of composite plates based on reissner s mixed variational theorem with variables separation
    Composites Part B-engineering, 2016
    Co-Authors: P. Vidal, Laurent Gallimard, Olivier Polit
    Abstract:

    In this work, the modeling of laminated composite plates is performed through a variables separation approach based on a Reissner's Variational Mixed Theorem (RMVT). Both the displacement and trans-verse stress fields are approximated as a sum of separated functions of the in-plane Coordinates x,y and the Transverse Coordinate z. This choice yields to a non-linear problem that can be solved by an iterative process. That consists of solving a 2D and 1D problem successively at each iteration. In the thickness direction, a fourth-order expansion in each layer is considered. For the in-plane description, classical Finite Element method is used. Numerical examples involving several representative laminates are addressed to show the accuracy of the present LayerWise (LW) method. It is shown that it can provide quasi-3D results less costly than classical LW computations. In particular, the estimation of the Transverse stresses which are of major importance for damage analysis is very good.

  • assessment of variable separation for finite element modeling of free edge effect for composite plates
    Composite Structures, 2015
    Co-Authors: P. Vidal, Laurent Gallimard, Olivier Polit
    Abstract:

    This paper deals with the assessment of an approach based on the separation of variables for the modeling of the free edge effect in laminated composite plates. This is of major importance for damage of composite structures. The displacement field is approximated as a sum of separated functions of the in-plane Coordinates x,y and the Transverse Coordinate z. This choice yields to an iterative process that consists of solving a 2D and 1D problem successively at each iteration. In the thickness direction, a fourth-order expansion in each layer is considered. For the in-plane description, classical finite element method is used. Numerical examples involving several representative laminates subjected to uniaxial tension are addressed to show the capability of the present LW method to capture the steep Transverse stress gradients occurring in the vicinity of free edges. It is shown that it can provide quasi-3D results less costly than 3D FEM computations.

Dipankar Chakrabarti - One of the best experts on this subject based on the ideXlab platform.

  • charge and longitudinal momentum distributions in Transverse Coordinate space
    Physical Review D, 2016
    Co-Authors: Chandan Mondal, Narinder Kumar, Harleen Dahiya, Dipankar Chakrabarti
    Abstract:

    We investigate the charge distributions for the $u$ and $d$ quarks in Transverse Coordinate space in a light-front quark-diquark model for the nucleons using the overlaps of the wave functions constructed from the soft-wall AdS/QCD prediction. We have also obtained the charge distributions for proton and neutron in Transverse Coordinate space and compared it with the distributions obtained in impact-parameter space. Further, we study the longitudinal momentum distributions using the wave functions in the Transverse Coordinate space. We have also shown the explicit fermionic and bosonic contributions for different struck $u$ and $d$ quarks.