International Journal of Solids and Structures, ( ISI ), Volume (51), No (1), Year (2014-2) , Pages (1089-1102)

Title : ( Stability boundaries of two-parameter non-linear elastic structures )

Authors: Mohaamad Rezaiee Pajand , Behrang Moghaddasie ,

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Abstract

The load-bearing capacity of structures can be influenced by variations in parameters, such as initial geometric defects, multi-parameter loadings, material specifications and temperature. This paper aims to introduce a new formulation to trace the stability boundaries of two-parameter elastic structures. The proposed procedure can find a set of critical points, both limit and bifurcation ones, via a modified Newton’s method. In the authors’ formulation, the residual force is set to zero, and a critically constraint is satisfied simultaneously. Numerical examples presented in this paper demonstrate the efficiency of the suggested method.

Keywords

, Critical point, Control parameter, Arc-length method, Stability boundary, Equilibrium path, Imperfection
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@article{paperid:1045013,
author = {Rezaiee Pajand, Mohaamad and Moghaddasie, Behrang},
title = {Stability boundaries of two-parameter non-linear elastic structures},
journal = {International Journal of Solids and Structures},
year = {2014},
volume = {51},
number = {1},
month = {February},
issn = {0020-7683},
pages = {1089--1102},
numpages = {13},
keywords = {Critical point; Control parameter; Arc-length method; Stability boundary; Equilibrium path; Imperfection},
}

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%0 Journal Article
%T Stability boundaries of two-parameter non-linear elastic structures
%A Rezaiee Pajand, Mohaamad
%A Moghaddasie, Behrang
%J International Journal of Solids and Structures
%@ 0020-7683
%D 2014

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