Elasto-plastic large deformation analysis of PR steel frames for LRFD

Achintya Haldar, Nee Ker-Ming

Research output: Contribution to journalArticle

31 Citations (Scopus)

Abstract

An efficient second-order finite element-based method is presented here considering geometric and material nonlinear behavior of steel frames with nonlinear flexible connections and local plasticity effects. The assumed stress method is used to derive the governing equations which satisfy joint equilibrium and displacement compatibility conditions. An explicit form of the tangent stiffness matrix of the structure is obtained that makes the proposed method extremely efficient in nonlinear analysis. In deriving governing equations for large deformation, each element is characterized as a beam-column which undergoes arbitrary large rigid displacement but small relative displacement. The behavior of flexible connections is represented by an exponential function. In solving the nonlinear equations, the Newton-Raphson method with arc-length control is used in tracing the post-buckling behavior. Several numerical examples are given to demonstrate the robustness, accuracy and efficiency of the proposed method.

Original languageEnglish (US)
Pages (from-to)811-823
Number of pages13
JournalComputers and Structures
Volume31
Issue number5
DOIs
StatePublished - 1989
Externally publishedYes

Fingerprint

Steel
Exponential functions
Nonlinear analysis
Stiffness matrix
Plastic Deformation
Newton-Raphson method
Large Deformation
Elasto-plastic
Nonlinear equations
Buckling
Plasticity
Plastics
Governing equation
Postbuckling
Arc length
Compatibility Conditions
Stiffness Matrix
Tracing
Nonlinear Analysis
Tangent line

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Mechanics

Cite this

Elasto-plastic large deformation analysis of PR steel frames for LRFD. / Haldar, Achintya; Ker-Ming, Nee.

In: Computers and Structures, Vol. 31, No. 5, 1989, p. 811-823.

Research output: Contribution to journalArticle

@article{e782e25694fb4ab9a08ee1d2ab82442e,
title = "Elasto-plastic large deformation analysis of PR steel frames for LRFD",
abstract = "An efficient second-order finite element-based method is presented here considering geometric and material nonlinear behavior of steel frames with nonlinear flexible connections and local plasticity effects. The assumed stress method is used to derive the governing equations which satisfy joint equilibrium and displacement compatibility conditions. An explicit form of the tangent stiffness matrix of the structure is obtained that makes the proposed method extremely efficient in nonlinear analysis. In deriving governing equations for large deformation, each element is characterized as a beam-column which undergoes arbitrary large rigid displacement but small relative displacement. The behavior of flexible connections is represented by an exponential function. In solving the nonlinear equations, the Newton-Raphson method with arc-length control is used in tracing the post-buckling behavior. Several numerical examples are given to demonstrate the robustness, accuracy and efficiency of the proposed method.",
author = "Achintya Haldar and Nee Ker-Ming",
year = "1989",
doi = "10.1016/0045-7949(89)90215-0",
language = "English (US)",
volume = "31",
pages = "811--823",
journal = "Computers and Structures",
issn = "0045-7949",
publisher = "Elsevier Limited",
number = "5",

}

TY - JOUR

T1 - Elasto-plastic large deformation analysis of PR steel frames for LRFD

AU - Haldar, Achintya

AU - Ker-Ming, Nee

PY - 1989

Y1 - 1989

N2 - An efficient second-order finite element-based method is presented here considering geometric and material nonlinear behavior of steel frames with nonlinear flexible connections and local plasticity effects. The assumed stress method is used to derive the governing equations which satisfy joint equilibrium and displacement compatibility conditions. An explicit form of the tangent stiffness matrix of the structure is obtained that makes the proposed method extremely efficient in nonlinear analysis. In deriving governing equations for large deformation, each element is characterized as a beam-column which undergoes arbitrary large rigid displacement but small relative displacement. The behavior of flexible connections is represented by an exponential function. In solving the nonlinear equations, the Newton-Raphson method with arc-length control is used in tracing the post-buckling behavior. Several numerical examples are given to demonstrate the robustness, accuracy and efficiency of the proposed method.

AB - An efficient second-order finite element-based method is presented here considering geometric and material nonlinear behavior of steel frames with nonlinear flexible connections and local plasticity effects. The assumed stress method is used to derive the governing equations which satisfy joint equilibrium and displacement compatibility conditions. An explicit form of the tangent stiffness matrix of the structure is obtained that makes the proposed method extremely efficient in nonlinear analysis. In deriving governing equations for large deformation, each element is characterized as a beam-column which undergoes arbitrary large rigid displacement but small relative displacement. The behavior of flexible connections is represented by an exponential function. In solving the nonlinear equations, the Newton-Raphson method with arc-length control is used in tracing the post-buckling behavior. Several numerical examples are given to demonstrate the robustness, accuracy and efficiency of the proposed method.

UR - http://www.scopus.com/inward/record.url?scp=0024904518&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024904518&partnerID=8YFLogxK

U2 - 10.1016/0045-7949(89)90215-0

DO - 10.1016/0045-7949(89)90215-0

M3 - Article

AN - SCOPUS:0024904518

VL - 31

SP - 811

EP - 823

JO - Computers and Structures

JF - Computers and Structures

SN - 0045-7949

IS - 5

ER -