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THE RELATION BETWEEN STRESS AND STRAIN IN MULTIAXIAL DEFORMATIONS OF ELASTOMERS

 

作者: W. D. Hutchinson,  

 

期刊: Applied Physics Letters  (AIP Available online 1967)
卷期: Volume 11, issue 7  

页码: 235-237

 

ISSN:0003-6951

 

年代: 1967

 

DOI:10.1063/1.1755114

 

出版商: AIP

 

数据来源: AIP

 

摘要:

Using appropriate force and displacement parameters it is shown that the response of elastomers in multiaxial stress fields is identical to their response to uniaxial stresses. These parameters were chosen from consideration of the molecular model assumed in the theory of Kuhn and Grun [Koll. Z.,101, 248 (1942)]. The required force is established to be given by|&sgr;|=(&sgr;12+&sgr;22+&sgr;32)1/2where the quantities&sgr;iare the forces along orthogonal axes on the deformed cross‐sectional area; the displacement is given by |e| = (e12+e22+e32)1/2where the quantitieseiare the strains along three orthogonal axes. The angle between the force and displacement vectors is found to be independent of the axiality of the stress field.

 

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