The Experts below are selected from a list of 309 Experts worldwide ranked by ideXlab platform

Cristóvão M. Mota Soares - One of the best experts on this subject based on the ideXlab platform.

  • Geometrically Nonlinear Analysis of sandwich structures
    Composite Structures, 2016
    Co-Authors: José Mateus Simões Moita, Aurélio L. Araújo, Cristóvão M. Mota Soares, Carlos A. Mota Soares, José Herskovits
    Abstract:

    Abstract In this work a finite element model is extended for Geometrically Nonlinear Analysis of sandwich plate–shell structures, to study the Nonlinear static response of sandwich plates or curved shells which can have a hard or soft core sandwiched between stiff elastic layers. The finite element is obtained by assembling all element-layers through the thickness using specific assumptions on the displacement continuity at the interfaces between layers, but allowing for different behavior of the layers. The stiff elastic layers are modeled using the classic plate theory and the core is modeled using the Reddy’s third order shear deformation theory. Using the Newton–Raphson incremental–iterative method, the equilibrium path is obtained, and in case of snap-through occurrence the automatic arc-length method is used to track the full load displacement distribution. This simple and fast element model is a non-conforming triangular flat plate/shell element with 24 degrees of freedom for the generalized displacements. It is benchmarked in the solution of some illustrative plate–shell examples and the results are presented and discussed with numerical and experimental alternative models.

  • buckling and Geometrically Nonlinear Analysis of sandwich structures
    International Journal of Mechanical Sciences, 2015
    Co-Authors: José Mateus Simões Moita, Aurélio L. Araújo, Cristóvão M. Mota Soares, V Franco M Correia
    Abstract:

    Abstract In this work a finite element model is presented for buckling and Nonlinear Analysis of multilayer sandwich plates and shells, with a soft core sandwiched between stiff elastic layers. The finite element is obtained by assembling all element-layers through the thickness using specific assumptions on the displacement continuity at the interfaces between layers, but allowing for different behaviors of the layers. The stiff elastic layers are modelled using the classic plate theory and the core is modelled using Reddy׳s third order shear deformation theory. The present finite element model is a non-conforming triangular plate/shell element with 24 degrees of freedom for the generalized displacements. This model is applied in the solution of illustrative examples and the results are presented and discussed.

Selda Oterkus - One of the best experts on this subject based on the ideXlab platform.

  • Ordinary state-based peridynamics for Geometrically Nonlinear Analysis of plates
    Theoretical and Applied Fracture Mechanics, 2021
    Co-Authors: Cong Tien Nguyen, Selda Oterkus
    Abstract:

    Abstract This study presents a novel ordinary state-based peridynamic model for Geometrically Nonlinear Analysis of plates. The Nonlinear strain energy density and Nonlinear equations of motion for a plate in peridynamics are obtained based on the principle of virtual displacements by using Total Lagrange formulation. The numerical procedure for Geometrically Nonlinear Analysis of a plate is also provided. The accuracy of the proposed Nonlinear peridynamic model is validated by considering large deformations of a plate subjected to bending and a plate subjected to transverse shear forces. To further demonstrate the capabilities of the proposed Nonlinear model, damages on a plate with a single crack subjected to stretching and tearing, a plate with two parallel cracks subjected to tearing, and a plate subjected to torsional loading are predicted.

  • Ordinary state-based peridynamic model for Geometrically Nonlinear Analysis
    Engineering Fracture Mechanics, 2020
    Co-Authors: Cong Tien Nguyen, Selda Oterkus
    Abstract:

    Abstract This study presents a novel ordinary state-based peridynamic model for Geometrically Nonlinear Analysis. A new definition of logarithmic bond stretch for large deformations has been proposed. The peridynamic formulations for one-dimensional, two-dimensional and three-dimensional structures are obtained based on the principle of virtual displacements by using Total Lagrange formulation. The capability of the developed peridynamic model is demonstrated by predicting large deformations for a bar, a plate, and a three-dimensional structure. To further demonstrate the capabilities of the proposed model, damage on a plate and a three-dimensional structure are simulated.

  • Peridynamics for Geometrically Nonlinear Analysis of three-dimensional beam structures
    Engineering Analysis with Boundary Elements, 1
    Co-Authors: Cong Tien Nguyen, Selda Oterkus
    Abstract:

    Abstract This study presents a novel peridynamic model for Geometrically Nonlinear Analysis of three-dimensional beam structures. The formulations of Nonlinear strain energy densities for a beam is obtained by using Total Lagrange formulation. The peridynamic formulations for beam structures are obtained based on the principle of virtual displacements. The capability of the proposed peridynamic model is demonstrated by considering large deformations of straight beams and curved beams subjected to different loading conditions. To further demonstrate the capabilities of the proposed Nonlinear model, damages on a dry spaghetti subjected to different loading conditions are simulated.

Siu Lai Chan - One of the best experts on this subject based on the ideXlab platform.

  • A simplified co-rotational method for quadrilateral shell elements in Geometrically Nonlinear Analysis
    International Journal for Numerical Methods in Engineering, 2017
    Co-Authors: Yi Qun Tang, Zhi Hua Zhou, Siu Lai Chan
    Abstract:

    Summary This paper presents a simplified co-rotational formulation for quadrilateral shell elements inheriting the merit of element-independence from the traditional co-rotational approach in literature. With the objective of application to Nonlinear Analysis of civil engineering structures, the authors further simply the formulation of the geometrical stiffness using the small strain assumption which is valid in the co-rotational approach, with the warping effects considered as eccentricities. Compared with the traditional element-independent co-rotational method, the projector is neglected both in the tangent stiffness matrix and the internal force vector for simplicity in formulation. Meanwhile, a quadrilateral flat shell element allowing for drilling rotations is adopted and incorporated into this simplified co-rotational algorithm for Geometrically Nonlinear Analysis involved with large displacements and large rotations. Several benchmark problems are presented to confirm the efficiency and accuracy of the proposed method for practical applications.

  • Geometrically Nonlinear Analysis of shells by quadrilateral flat shell element with drill, shear, and warping
    International Journal for Numerical Methods in Engineering, 2016
    Co-Authors: Yi Qun Tang, Zhi Hua Zhou, Siu Lai Chan
    Abstract:

    Summary In this paper, a four-node quadrilateral flat shell element is proposed for Geometrically Nonlinear Analysis based on updated Lagrangian formulation with the co-rotational kinematics concept. The flat shell element combines the membrane element with drilling degrees of freedom and the plate element with shear deformation. By means of these linearized elements, a simplified Nonlinear Analysis procedure allowing for warping of the flat shell element and large rotation is proposed. The tangent stiffness matrix and the internal force recovery are formulated in this paper. Several classic benchmark examples are presented to validate the accuracy and efficiency of the proposed new and more proficient element for practical engineering Analysis of shell structures. Copyright © 2016 John Wiley & Sons, Ltd.

Robert Levy - One of the best experts on this subject based on the ideXlab platform.

  • Geometrically Nonlinear Analysis of shell structures using a flat triangular shell finite element
    Archives of Computational Methods in Engineering, 2006
    Co-Authors: Robert Levy
    Abstract:

    This paper presents a state of the art review on Geometrically Nonlinear Analysis of shell structures that is limited to the co-rotational approach and to flat triangular shell finite elements. These shell elements are built up from flat triangular membranes and plates. We propose an element comprised of the constant strain triangle (CST) membrane element and the discrete Kirchhoff (DKT) plate element and describe its formulation while stressing two main issues: the derivation of the geometric stiffness matrix and the isolation of the rigid body motion from the total deformations. We further use it to solve a broad class of problems from the literature to validate its use.

Jaehong Lee - One of the best experts on this subject based on the ideXlab platform.

  • Geometrically Nonlinear Analysis of thin-walled open-section composite beams
    Computers & Structures, 2010
    Co-Authors: Jaehong Lee
    Abstract:

    A Geometrically Nonlinear model for general thin-walled open-section composite beams with arbitrary lay-ups under various types of loadings based on the classical lamination theory is presented. It accounts for all structural coupling coming from the material anisotropy and geometric Nonlinearity. Nonlinear governing equations are derived and solved by means of an incremental Newton-Raphson method. The finite element model that accounts for the geometric Nonlinearity in the von Karman sense is developed to solve the problem. Numerical results are obtained for thin-walled composite Z-beam and I-beam to investigate effects of geometric Nonlinearity, fiber orientation and warping restraint on the flexural-torsional response.

  • Geometrically Nonlinear Analysis of thin-walled composite box beams
    Computers & Structures, 2008
    Co-Authors: Jaehong Lee
    Abstract:

    A general Geometrically Nonlinear model for thin-walled composite space beams with arbitrary lay-ups under various types of loadings has been presented by using variational formulation based on the classical lamination theory. The Nonlinear governing equations are derived and solved by means of an incremental Newton-Raphson method. A displacement-based one-dimensional finite element model that accounts for the geometric Nonlinearity in the von Karman sense is developed. Numerical results are obtained for thin-walled composite box beam under vertical load to investigate the effect of geometric Nonlinearity and address the effects of the fiber orientation, laminate stacking sequence, load parameter on axial-flexural-torsional response.