In-plane limit moment for an elbow. Lower-bound analytical solution and finite element processing by elastic compensation method

Based on the equilibrium equations used by Reissner and Clark, we suggest a closed-form lower-bound solution of the limit moment for an infinite elbow (without adjacent straight sections) in-plane bending, which improves the solution suggested by Calladine. The finite element solution is simultaneou...

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Bibliographic Details
Published inThe International journal of pressure vessels and piping Vol. 71; no. 1; pp. 29 - 34
Main Authors Desquines, Jean, Plancq, David, Wielgosz, Christian
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.04.1997
Elsevier
Subjects
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Inelasticity (thermoplasticity, viscoplasticity...)
Physics
Solid mechanics
Structural and continuum mechanics
Viscoelasticity, plasticity, viscoplasticity
Finite element method
Stress analysis
Analytical method
Flexural strength
Theoretical study
Tubes
Plastic deformation
Closed form equation
Curved shape
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Summary:Based on the equilibrium equations used by Reissner and Clark, we suggest a closed-form lower-bound solution of the limit moment for an infinite elbow (without adjacent straight sections) in-plane bending, which improves the solution suggested by Calladine. The finite element solution is simultaneously obtained by means of a module programmed with the Castem 2000 code, which enables the perfectly plastic problem to be solved by means of a sequence of incompressible elastic calculations.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0308-0161
1879-3541
DOI:10.1016/S0308-0161(96)00038-5