scholarly journals Geometrically nonlinear finite element implementation based on highly accurate 1st and 2nd numerical derivative scheme using hyper-dual numbers

2016 ◽  
Vol 82 (834) ◽  
pp. 15-00454-15-00454 ◽  
Author(s):  
Masaki FUJIKAWA ◽  
Kiyotaka ISHIKAWA ◽  
Chobin MAKABE ◽  
Masato TANAKA ◽  
Takashi SASAGAWA ◽  
...  
Keyword(s):  
Finite Element ◽  
Nonlinear Finite Element ◽  
Geometrically Nonlinear ◽  
Dual Numbers ◽  
Finite Element Implementation ◽  
Numerical Derivative

Two-Dimensional Geometrically Nonlinear Finite Element Formulation for Analysis of Straight Pipes

2020 ◽  
Author(s):  
Saher Attia ◽  
Magdi Mohareb ◽  
Michael Martens ◽  
Nader Yoosef Ghodsi ◽  
Yong Li ◽  
...  
Keyword(s):  
Finite Element ◽  
Virtual Work ◽  
Strain Tensor ◽  
Structural Response ◽  
Small Strain ◽  
Nonlinear Finite Element ◽  
Finite Element Formulation ◽  
Single Element ◽  
Element Formulation ◽  
Geometrically Nonlinear

Abstract The paper presents a new and simple geometrically nonlinear finite element formulation to simulate the structural response of straight pipes under in-plane loading and/or internal pressure. The formulation employs the Green-Lagrange strain tensor to capture finite deformation-small strain effects. Additionally, the First Piola-Kirchhoff stress tensor and Saint Venant-Kirchhoff constitutive model are adopted within the principle of virtual work framework in conjunction with a total Lagrangian approach. The formulation is applied for a cantilever beam under three loading conditions. Results are in good agreement with shell models in ABAQUS. Although the solution is based on a single element, the formulation provides reasonable displacement and stress predictions.

Geometrically nonlinear finite element simulation of smart laminated shells using a modified first-order shear deformation theory

2019 ◽  
Vol 30 (4) ◽  
pp. 517-535 ◽  
Author(s):  
Hanen Mallek ◽  
Hanen Jrad ◽  
Mondher Wali ◽  
Fakhreddine Dammak
Keyword(s):  
Finite Element ◽  
Shear Deformation ◽  
Deformation Theory ◽  
Piezoelectric Materials ◽  
Shear Deformation Theory ◽  
Nonlinear Finite Element ◽  
Shear Stresses ◽  
Geometrically Nonlinear ◽  
Element Analysis ◽  
First Order

This article investigates geometrically nonlinear and linear analysis of multilayered shells with integrated piezoelectric materials. An efficient nonlinear shell element is developed to solve piezoelastic response of laminated structure with embedded piezoelectric actuators and sensors. A modified first-order shear deformation theory is introduced in the present method to remove the shear correction factor and improve the accuracy of transverse shear stresses. The electric potential is assumed to be a linear function through the thickness of each active sub-layer. Several numerical tests for different piezolaminated geometries are conducted to highlight the reliability and efficiency of the proposed implementation in linear and geometrically nonlinear finite element analysis.

Modal Substructuring of Geometrically Nonlinear Finite-Element Models

AIAA Journal ◽  
2016 ◽  
Vol 54 (2) ◽  
pp. 691-702 ◽  
Author(s):  
Robert J. Kuether ◽  
Matthew S. Allen ◽  
Joseph J. Hollkamp
Keyword(s):  
Finite Element ◽  
Nonlinear Finite Element ◽  
Finite Element Models ◽  
Geometrically Nonlinear

LATERAL BUCKLING OF THE STRUTS IN BEAM STRING STRUCTURES CONSIDERING THE LAYOUT OF STRINGS

2012 ◽  
Vol 12 (03) ◽  
pp. 1250015 ◽  
Author(s):  
MINGER WU ◽  
KENICHI HIRAI
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Nonlinear Finite Element ◽  
Lateral Stiffness ◽  
Geometrically Nonlinear ◽  
Nonlinear Finite Element Method ◽  
Rotational Stiffness ◽  
Lateral Buckling ◽  
String Structure ◽  
Parametric Studies

The struts in a beam string structure (BSS) may buckle laterally under compression. The lateral buckling of the struts is determined not only by the rotational stiffness of the beam–strut joints and the length and bending stiffness of the struts, but also by the rise and lateral stiffness of the beam, the number of struts, and the layout of strings. In this paper, the multi-strut BSS with several types of layout of strings is studied. An analytical method for estimating the lateral buckling load of the struts in BSS is proposed. Parametric studies are carried out to investigate the variation of the lateral buckling of the struts in the BSS for different string layouts. In the end, the validity of the proposed method is examined by means of numerical simulations using the geometrically nonlinear finite element method.

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