Nonlinear Load-Deflection Relations of Bonded Elastomeric Circular Disks and Strips

Autor:	Peter A. Engel, Yun Ling, William L. Brodsky
Rok vydání:	1992
Předmět:	Physics Power series Polymers and Plastics Mathematical analysis STRIPS Elastomer Finite element method law.invention Strain energy Nonlinear system law Materials Chemistry Empirical formula Shape factor
Zdroj:	Rubber Chemistry and Technology. 65:917-931
ISSN:	1943-4804 0035-9475
DOI:	10.5254/1.3538651
Popis:	The nonlinear load-deflection relations of bonded circular disks and infinitely long strips are studied. Finite element analysis is used to evaluate the empirical formula proposed by Payne, which justifies the need for a better formula to predict the load-deflection relation for blocks with large shape factors under a relatively large deformation. General expressions for the load-deflection relations of blocks under axisymmetrical and plane-strain deformations are presented based on a variational approach, i.e. the Raleigh-Ritz method, in which no specific form of strain energy functions is required. Nonlinear load-deflection relations of circular discs and infinitely long strips made of a Mooney-Rivlin material are explicitly given in a power series form. It is found that these solutions agree well with the finite element results and are much more accurate than the empirical formula. It is shown that the solutions obtained by the Raleigh-Ritz method are not sensitive to deformations assumed.
Databáze:	OpenAIRE
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