首页   按字顺浏览 期刊浏览 卷期浏览 The Strain‐Energy Function of a Hyperelastic Material in Terms of the Extension ...
The Strain‐Energy Function of a Hyperelastic Material in Terms of the Extension Ratios

 

作者: K. C. Valanis,   R. F. Landel,  

 

期刊: Journal of Applied Physics  (AIP Available online 1967)
卷期: Volume 38, issue 7  

页码: 2997-3002

 

ISSN:0021-8979

 

年代: 1967

 

DOI:10.1063/1.1710039

 

出版商: AIP

 

数据来源: AIP

 

摘要:

A simple form of the strain‐energy function of natural rubber results if the latter is expressed an an analytic function of the extension ratios rather than the invariants. For incompressible isotropic materials it is postulated that this is a separable symmetric function of the extension ratios, i.e.,W = w(&lgr;1) +w(&lgr;2) +w(&lgr;3). This form has been substantiated by critical plots using uniaxial and biaxial data reported in the literature by several investigators. The above form appears to be valid over a wide range of deformations (0.2≤&lgr;≤3.5). An explicit representation ofWfor this range is given in graphical form. In the more limited range (0.6≤&lgr;≤2.5)w(&lgr;) has the analytic formw=2 &mgr;&lgr; (ln&lgr;−1).

 

点击下载:  PDF (419KB)



返 回