Nonlinear Analysis

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K.s. Kim - One of the best experts on this subject based on the ideXlab platform.

  • geometrically Nonlinear Analysis of laminated composite plates by two new displacement based quadrilateral plate elements
    Composite Structures, 2006
    Co-Authors: Y. X. Zhang, K.s. Kim
    Abstract:

    Abstract Two simple displacement-based 4-node quadrilateral elements RDKQ-NL20 and RDKQ-NL24 are developed in this paper for geometrically Nonlinear Analysis of thin to moderately thick laminated composite plates. The proposed quadrilateral Nonlinear laminated composite plate elements are based on the first-order shear deformation theory (FSDT) and von-Karman’s large deflection theory, and the total Lagrangian approach is employed to formulate the elements. The deflection and rotation functions of the element boundary are obtained from Timoshenko’s laminated composite beam functions, thus convergence can be ensured theoretically for very thin laminates. The linear displacement interpolation functions of the standard 4-node quadrilateral isoparametric plane element and the in-plane displacement functions of a quadrilateral plane element with drilling degrees of freedom are taken as the in-plane displacements of elements RDKQ-NL20 and RDKQ-NL24, respectively. The developed elements are simple in formulation, free from shear-locking, and include conventional engineering degrees of freedom. Numerical examples demonstrate that they are accurate and efficient for large deformation, small rotation Nonlinear Analysis of thin to moderately thick laminated composite plates.

  • linear and geometrically Nonlinear Analysis of plates and shells by a new refined non conforming triangular plate shell element
    Computational Mechanics, 2005
    Co-Authors: Y. X. Zhang, K.s. Kim
    Abstract:

    A refined non-conforming triangular plate/shell element for linear and geometrically Nonlinear Analysis of plates and shells is developed in this paper based on the refined non-conforming element method (RNEM). A conforming triangle membrane element with drilling degrees of freedom in Cartesian coordinates and the refined non-conforming triangular plate-bending element RT9, in which Kirchhoff kinematic assumption was adopted, are used to construct the present element. The displacement continuity condition along the interelement boundary is satisfied in an average sense for plate Analysis, and the coupled displacement continuity requirement at the interelement is satisfied in an average sense, thereby improving the performance of the element for shell Analysis. Selectively reduced integration with stabilization scheme is employed in this paper to avoid membrane locking. Numerical examples demonstrate that the present element behaves quite satisfactorily either for the linear Analysis of plate bending problems and plane problems or for the geometrically Nonlinear Analysis of thin plates and shells with large displacement, moderate rotation but small strain.

Sabine Mall - One of the best experts on this subject based on the ideXlab platform.

  • Nonlinear Analysis of bonded composite patch repair of cracked aluminum panels
    Composite Structures, 1998
    Co-Authors: Sam Naboulsi, Sabine Mall
    Abstract:

    Analyses of adhesively bonded composite patches to repair cracked structures have been the focus of many studies. Most of these studies investigated the damage tolerance of the repaired structure by using linear Analysis. This study involves Nonlinear Analysis of the adhesively bonded composite patch to investigate its effects on the damage tolerance of the repaired structure. The Nonlinear Analysis utilizes the three-layer technique which includes geometric Nonlinearity to account for large displacements of the repaired structure and also material Nonlinearity of the adhesive. The three-layer technique uses two-dimensional finite element Analysis with Mindlin plate elements to model the cracked plate, adhesive and composite patch. The effects of geometric Nonlinearity on the damage tolerance of the cracked plate is investigated by computing the stress intensity factor and fatigue growth rate of the crack in the plate. The adhesive is modeled as a Nonlinear material to characterize debond behavior. The elastic-plastic Analysis of the adhesive utilizes the extended Drucker-Prager model. A detailed discussion on the effects of Nonlinear Analysis for a bonded composite patch repair of a cracked aluminum panel is presented in this paper.

Y. X. Zhang - One of the best experts on this subject based on the ideXlab platform.

  • geometrically Nonlinear Analysis of laminated composite plates by two new displacement based quadrilateral plate elements
    Composite Structures, 2006
    Co-Authors: Y. X. Zhang, K.s. Kim
    Abstract:

    Abstract Two simple displacement-based 4-node quadrilateral elements RDKQ-NL20 and RDKQ-NL24 are developed in this paper for geometrically Nonlinear Analysis of thin to moderately thick laminated composite plates. The proposed quadrilateral Nonlinear laminated composite plate elements are based on the first-order shear deformation theory (FSDT) and von-Karman’s large deflection theory, and the total Lagrangian approach is employed to formulate the elements. The deflection and rotation functions of the element boundary are obtained from Timoshenko’s laminated composite beam functions, thus convergence can be ensured theoretically for very thin laminates. The linear displacement interpolation functions of the standard 4-node quadrilateral isoparametric plane element and the in-plane displacement functions of a quadrilateral plane element with drilling degrees of freedom are taken as the in-plane displacements of elements RDKQ-NL20 and RDKQ-NL24, respectively. The developed elements are simple in formulation, free from shear-locking, and include conventional engineering degrees of freedom. Numerical examples demonstrate that they are accurate and efficient for large deformation, small rotation Nonlinear Analysis of thin to moderately thick laminated composite plates.

  • linear and geometrically Nonlinear Analysis of plates and shells by a new refined non conforming triangular plate shell element
    Computational Mechanics, 2005
    Co-Authors: Y. X. Zhang, K.s. Kim
    Abstract:

    A refined non-conforming triangular plate/shell element for linear and geometrically Nonlinear Analysis of plates and shells is developed in this paper based on the refined non-conforming element method (RNEM). A conforming triangle membrane element with drilling degrees of freedom in Cartesian coordinates and the refined non-conforming triangular plate-bending element RT9, in which Kirchhoff kinematic assumption was adopted, are used to construct the present element. The displacement continuity condition along the interelement boundary is satisfied in an average sense for plate Analysis, and the coupled displacement continuity requirement at the interelement is satisfied in an average sense, thereby improving the performance of the element for shell Analysis. Selectively reduced integration with stabilization scheme is employed in this paper to avoid membrane locking. Numerical examples demonstrate that the present element behaves quite satisfactorily either for the linear Analysis of plate bending problems and plane problems or for the geometrically Nonlinear Analysis of thin plates and shells with large displacement, moderate rotation but small strain.

Sam Naboulsi - One of the best experts on this subject based on the ideXlab platform.

  • Nonlinear Analysis of bonded composite patch repair of cracked aluminum panels
    Composite Structures, 1998
    Co-Authors: Sam Naboulsi, Sabine Mall
    Abstract:

    Analyses of adhesively bonded composite patches to repair cracked structures have been the focus of many studies. Most of these studies investigated the damage tolerance of the repaired structure by using linear Analysis. This study involves Nonlinear Analysis of the adhesively bonded composite patch to investigate its effects on the damage tolerance of the repaired structure. The Nonlinear Analysis utilizes the three-layer technique which includes geometric Nonlinearity to account for large displacements of the repaired structure and also material Nonlinearity of the adhesive. The three-layer technique uses two-dimensional finite element Analysis with Mindlin plate elements to model the cracked plate, adhesive and composite patch. The effects of geometric Nonlinearity on the damage tolerance of the cracked plate is investigated by computing the stress intensity factor and fatigue growth rate of the crack in the plate. The adhesive is modeled as a Nonlinear material to characterize debond behavior. The elastic-plastic Analysis of the adhesive utilizes the extended Drucker-Prager model. A detailed discussion on the effects of Nonlinear Analysis for a bonded composite patch repair of a cracked aluminum panel is presented in this paper.

A Blazquez - One of the best experts on this subject based on the ideXlab platform.

  • geometrically Nonlinear Analysis of functionally graded power based and carbon nanotubes reinforced composites using a fully integrated solid shell element
    Composite Structures, 2016
    Co-Authors: J Reinoso, A Blazquez
    Abstract:

    Abstract Functionally graded materials are multi-phase composites which are characterized by continuous and smooth variation of the volume fractions of two or more constituents within the structure domain. In this study, geometrically Nonlinear Analysis of functionally graded power-based (FGMs) and carbon-nanotubes reinforced composites (FG-CNTRCs) is performed using a fully integrated first-order solid shell finite element. This formulation relies on the alternative parametrization of the so-called 7-parameter shell model. The central aspects that motivate the use of this formulation are: (i) the use of unmodified three-dimensional constitutive laws, and (ii) the consideration of the thickness variation of the shell along the deformation process. Locking treatment is carried out by means of the combination of the Enhanced Assumed Strain (EAS) and the Assumed Natural Strain (ANS) methods. This solid shell element is numerically implemented into the commercial FE code ABAQUS through the user subroutine UEL . Several numerical examples are conducted with the aim of examining the effects of different material parameters on the structural response. These applications show the applicability of the current formulation for FG composite simulations undergoing geometrically Nonlinear effects.