The Newton-Raphson method used in the non-linear analysis of concrete structures

Siu Yung Alan Ma; Ian  May

doi:https://doi.org/10.1016/0045-7949(86)90277-4

The Newton-Raphson method used in the non-linear analysis of concrete structures

Siu Yung Alan Ma, Ian May

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

The finite element method has been used to analyse reinforced concrete structures from zero load up to collapse. Modified Newton-Raphson method has been used as the basic solution procedure. In this paper, the performance of various accelerators are discussed and compared with each other. The numerical instabilities which have been encountered previously [1, 2 and 30when using the modified Newton-Raphson method are discussed. Techniques to avoid such instabilities are proposed and demonstrated in an example.

Original language	English
Pages (from-to)	177-185
Number of pages	9
Journal	Computers & Structures
Volume	24
Issue number	2
DOIs	https://doi.org/10.1016/0045-7949(86)90277-4
Publication status	Published (VoR) - 1986

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title = "The Newton-Raphson method used in the non-linear analysis of concrete structures",

abstract = "The finite element method has been used to analyse reinforced concrete structures from zero load up to collapse. Modified Newton-Raphson method has been used as the basic solution procedure. In this paper, the performance of various accelerators are discussed and compared with each other. The numerical instabilities which have been encountered previously [1, 2 and 30when using the modified Newton-Raphson method are discussed. Techniques to avoid such instabilities are proposed and demonstrated in an example.",

author = "Ma, {Siu Yung Alan} and Ian May",

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T1 - The Newton-Raphson method used in the non-linear analysis of concrete structures

AU - Ma, Siu Yung Alan

AU - May, Ian

PY - 1986

Y1 - 1986

N2 - The finite element method has been used to analyse reinforced concrete structures from zero load up to collapse. Modified Newton-Raphson method has been used as the basic solution procedure. In this paper, the performance of various accelerators are discussed and compared with each other. The numerical instabilities which have been encountered previously [1, 2 and 30when using the modified Newton-Raphson method are discussed. Techniques to avoid such instabilities are proposed and demonstrated in an example.

AB - The finite element method has been used to analyse reinforced concrete structures from zero load up to collapse. Modified Newton-Raphson method has been used as the basic solution procedure. In this paper, the performance of various accelerators are discussed and compared with each other. The numerical instabilities which have been encountered previously [1, 2 and 30when using the modified Newton-Raphson method are discussed. Techniques to avoid such instabilities are proposed and demonstrated in an example.

U2 - https://doi.org/10.1016/0045-7949(86)90277-4

DO - https://doi.org/10.1016/0045-7949(86)90277-4

M3 - Article

VL - 24

SP - 177

EP - 185

JO - Computers & Structures

JF - Computers & Structures

IS - 2

ER -

The Newton-Raphson method used in the non-linear analysis of concrete structures

Abstract

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