The finite deformation of a pressurized circular tube for a class of compressible materials

DOI10.1007/BF00947935zbMath0539.73038OpenAlexW1997483006MaRDI QIDQ794488

A. H. Jafari, Cornelius O. Horgan, Rohan C. Abeyaratne

Publication date: 1984

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00947935

zbMATH Keywords

plane strainstress singularitystress distributiondeformationstress concentration factorinternal pressurestress fieldshollow circular cylinderexternal pressurestrain energy density functionclassical linearized stabilityclosing of the body's cavity is predictedcritical value of the applied pressureexplicit closed formharmonic materialhomogeneous, isotropic, compressible elastic materialindependent of the material propertieslargest hoop stress becomes unboundedno instabilitynon- axisymmetric states of plane strain

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Bifurcation and buckling (74G60) Membranes (74K15)

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