The geometric non-linear analysis of thin-walled structures by finite strips

1984 ◽  
Vol 2 (1) ◽  
pp. 27-50 ◽  
Author(s):  
J.T. Gierlinski ◽  
T.R. Graves Smith
Keyword(s):  
Linear Analysis ◽  
Thin Walled Structures ◽  
Non Linear ◽  
Thin Walled

Non-linear analysis of thin-walled structures using plate elements

1994 ◽  
Vol 37 (10) ◽  
pp. 1697-1711 ◽  
Author(s):  
C. K. Chin ◽  
F. G. A. Al-Bermani ◽  
S. Kitipornchai
Keyword(s):  
Linear Analysis ◽  
Thin Walled Structures ◽  
Plate Elements ◽  
Non Linear ◽  
Thin Walled

Non-linear thermoelastic analysis of thin-walled structures with cohesive-like interfaces relying on the solid shell concept

2022 ◽  
Vol 202 ◽  
pp. 103696
Author(s):  
Pavan Kumar Asur Vijaya Kumar ◽  
Aamir Dean ◽  
Shahab Sahraee ◽  
Jose Reinoso ◽  
Marco Paggi
Keyword(s):  
Solid Shell ◽  
Thermoelastic Analysis ◽  
Thin Walled Structures ◽  
Non Linear ◽  
Thin Walled

Application of Finite Strip Method in Vehicle Design: Part 2 of 2—Post Buckling Analysis of Thin Walled Structures

2011 ◽  
Author(s):  
Umesh Gandhi ◽  
Stephane Roussel ◽  
K. Furusu ◽  
T. Nakagawa
Keyword(s):  
Load Capacity ◽  
High Strength ◽  
Maximum Load ◽  
Element Formulation ◽  
Tangent Stiffness Matrix ◽  
Finite Strip ◽  
Thin Walled Structures ◽  
Non Linear ◽  
Post Buckling ◽  
Thin Walled

Thin walled parts of high strength steel, under compressive loads are likely to buckle locally, and then depending on geometry and material properties the section may continue to carry additional load. For the post buckling conditions the deformations are large but finite. Therefore we need to consider geometrical non linearity in the calculations. In this paper we are extending the linear finite strip element formulation to include geometrical non linearity. Method to derive secant and tangent stiffness matrix for non linear finite strip element is developed and then the element formulation is verified for inplane and center load on a plate using Newton Raphson solver. The new non linear finite strip element can be useful in estimating maximum load capacity (including post buckling) of thin walled structures from 2D data.

LOCAL AND INTERACTIVE POST-BUCKLING OF RHS THIN-WALLED MEMBERS — COMPARING A NEW SPECIAL BEAM FINITE ELEMENT WITH SHELL FE MODELS

2007 ◽  
Vol 07 (02) ◽  
pp. 213-241 ◽  
Author(s):  
HERVE DEGEE ◽  
NICOLAS BOISSONNADE ◽  
BARBARA ROSSI
Keyword(s):  
Finite Element ◽  
Local Buckling ◽  
Linear Analysis ◽  
Local Deformation ◽  
Theoretical Formulation ◽  
Non Linear ◽  
Beam Displacement ◽  
Post Buckling ◽  
Thin Walled ◽  
Global And Local

This paper presents a special thin-walled plane beam finite element that accounts for the in-plane cross-section local deformation. The element is based on the superposition of a classical beam displacement field and of an additional field describing local effects, with an approximation on the local second-order membrane stress field. The theoretical formulation is summarized and an application of the resulting numerical tool to the post-buckling analysis of RHS thin-walled members with moderate local and global slenderness susceptible to both global and local buckling is then performed. Different types of analyses are presented (computation of critical bifurcation loads, geometrically non-linear analysis, geometrically and materially non-linear analysis). The results obtained with the proposed beam finite element are compared to values provided by shell FE models.

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