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Prediction of the stress distribution in an elastic pancake using a neo‐hookean strain energy function
Author(s) -
Kakavas P. A.
Publication year - 1997
Publication title -
polymer engineering and science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.503
H-Index - 111
eISSN - 1548-2634
pISSN - 0032-3888
DOI - 10.1002/pen.11686
Subject(s) - materials science , natural rubber , strain energy , composite material , stress (linguistics) , stress–strain curve , strain (injury) , constraint (computer aided design) , mechanics , structural engineering , finite element method , deformation (meteorology) , mathematics , geometry , physics , engineering , anatomy , medicine , linguistics , philosophy
The aim of this article is to evaluate the axial stress of a thin cylindrical rubber specimen bonded between two steel cylindrical plates. The thickness of the rubber with respect to its diameter is small. It was assumed that the rubber is described by a Neo‐Hookean strain energy function. A theoretical equation was developed to correlate the diametral contraction η with respect to strain ε within the sample. The equilibrium equations of motion and the incompressibility constraint with the free stress condition of R = A were used to determined the axial stress state.