Total Lagrange formulation

In the present paper, a 2D nonlinear beam element based on the geometrically exact formulation for large displacement theory of beams developed by Zienkiewicz [7] is formulated on the basis of the first-order shear deformation theory and the total Lagrangian method. The displacements of the element are described through the original (reference) configuration.

9p dathienlang1012 03-05-2024 2 0   Download

In this work, geometrically nonlinear behavior of sandwich composite beams reinforced by carbon nanotubes is studied, taking into account the influence of agglomeration of the carbon nanotubes (CNTs). The core of the sandwich beams is homogeneous while the two face sheets are made of CNT reinforced composite with the effective material properties being estimated by the Eshelby-Mori-Tanaka approach.

16p viwolverine 11-07-2023 5 2   Download

Large deflections of FG-CNTRC sandwich beams partially supported by a two-parameter elastic foundation are studied in this paper by a nonlinear finite element procedure. The core of the beams is homogeneous while the top and bottom are of CNTRC material.

6p bobietbay 22-12-2021 8 0   Download

In the present work, the large displacement behaviour of FGSW beams in thermal environment is studied by a finite element formulation. The beams considered herein consist of three layers, a homogeneous core and two FGM skin layers. The material properties are assumed to be temperature dependent, and they are graded in the thickness direction by a power gradation law. Based on Antman beam model, a nonlinear beam element using linear interpolation is formulated in the context of the total Lagrange formulation.

20p nguaconbaynhay11 07-04-2021 17 1   Download