On the bifurcation and post-bifurcation behaviour of thick circular elastic-plastic tubes under lateral pressure

DOI10.1016/0045-7825(82)90134-7zbMath0492.73038OpenAlexW1969763291MaRDI QIDQ1168109

Yoshihiro Tomita, Akio Shindo

Publication date: 1982

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(82)90134-7

zbMATH Keywords

separation of variablessmooth yield surfaceexternal pressureplane strain conditioncircular tubespost-bifurcation behaviournonaxisymmetric bifurcationPrandtl-Reuss equationcollapse after maximum pressure pointdevelopment of unloading regionelastic-plastic workhardening materialHill's uniqueness theoryinfluence of thickness imperfection upon deformation behaviourinfluence of workhardening raterapid reduction of supporting pressureribbon type deformation modethin to thick tubes

Mathematics Subject Classification ID

Bifurcation and buckling (74G60) Plastic materials, materials of stress-rate and internal-variable type (74C99) Membranes (74K15)

Related Items (1)

Experimental/numerical analysis of the collapse behavior of steel pipes

Cites Work

• A general theory of uniqueness and stability in elastic-plastic solids
• Bifurcation and post bifurcation behaviour of internally pressurized elastic-plastic circular tubes under plane strain conditions
• Buckling of long thick-walled circular cylindrical shells of isotropic incompressible hyperelastic materials under uniform external pressure
• Instabilities in thin elastic-plastic tubes
• Bifurcation and instability modes in thick-walled rigid-plastic cylinders under pressure
• A numerical study of necking in circular cylindrical bars
• Post-bifurcation behavior in the plastic range
• ON THE BUCKLING OF RINGS AND LONG TUBES OF FINITE THICKNESS UNDER LATERAL PRESSURE
• Unnamed Item

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