A user-controlled arc-length method for convergence to predefined deformation states

Jinguang Teng; Y. F. Luo

doi:10.1002/(SICI)1099-0887(199801)14:1&lt;51::AID-CNM130&gt;3.0.CO;2-L

A user-controlled arc-length method for convergence to predefined deformation states

Jinguang Teng, Y. F. Luo

Research output: Journal article publication › Journal article › Academic research › peer-review

11 Citations (Scopus)

Abstract

The arc-length method has been widely used in non-linear analysis of structures. While it can handle complex load-deflection paths effectively, the analyst has no control over the load incrementation scheme to achieve convergence to specific locations along the load-deflection path. There are a number of situations in which such control is necessary, for example when convergence to predefined load levels, displacement levels or stress levels is required. This paper describes an improved arc-length method in which this deficiency is overcome.

Original language	English
Pages (from-to)	51-58
Number of pages	8
Journal	Communications in Numerical Methods in Engineering
Volume	14
Issue number	1
DOIs	https://doi.org/10.1002/(SICI)1099-0887(199801)14:1<51::AID-CNM130>3.0.CO;2-L
Publication status	Published - 1 Jan 1998

Keywords

Accumulated arc-length control
Arc-length method
Convergence
Non-linear analysis
Predefined deformation states
User control

ASJC Scopus subject areas

Software
Modelling and Simulation
General Engineering
Computational Theory and Mathematics
Applied Mathematics

More information

10.1002/(SICI)1099-0887(199801)14:1<51::AID-CNM130>3.0.CO;2-L

Cite this

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AU - Luo, Y. F.

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N2 - The arc-length method has been widely used in non-linear analysis of structures. While it can handle complex load-deflection paths effectively, the analyst has no control over the load incrementation scheme to achieve convergence to specific locations along the load-deflection path. There are a number of situations in which such control is necessary, for example when convergence to predefined load levels, displacement levels or stress levels is required. This paper describes an improved arc-length method in which this deficiency is overcome.

AB - The arc-length method has been widely used in non-linear analysis of structures. While it can handle complex load-deflection paths effectively, the analyst has no control over the load incrementation scheme to achieve convergence to specific locations along the load-deflection path. There are a number of situations in which such control is necessary, for example when convergence to predefined load levels, displacement levels or stress levels is required. This paper describes an improved arc-length method in which this deficiency is overcome.

KW - Accumulated arc-length control

KW - Arc-length method

KW - Convergence

KW - Non-linear analysis

KW - Predefined deformation states

KW - User control

UR - https://www.scopus.com/pages/publications/0031649555

U2 - 10.1002/(SICI)1099-0887(199801)14:1<51::AID-CNM130>3.0.CO;2-L

DO - 10.1002/(SICI)1099-0887(199801)14:1<51::AID-CNM130>3.0.CO;2-L

M3 - Journal article

SN - 1069-8299

VL - 14

SP - 51

EP - 58

JO - Communications in Numerical Methods in Engineering

JF - Communications in Numerical Methods in Engineering

IS - 1

ER -

A user-controlled arc-length method for convergence to predefined deformation states

Abstract

Keywords

ASJC Scopus subject areas

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