Moderate deformations in extension-torsion of incompressible isotropic elastic materials

作者: L. Anand

DOI: 10.1016/0022-5096(86)90021-9

关键词:

摘要: Abstract It has been previously shown by anand (1979) that the classical strain energy function of infinitesimal isotropic elasticity is in good agreement with experiment for a wide class materials moderately large deformations, provided measure occurring replaced Hencky or logarithmic finite strain. The basis Anand's paper relating Hencky's to was data from experiments on metals and rubbers uniaxial strain, simple tension compression, pure shear. Here, test further validity this moderate its predictions twisting moment axial force torsion combined extension-torsion solid cylinders incompressible are calculated be R ivlin S aunders (1951) vulcanized natural rubber. Indeed, better accord than widely used Mooney (or Mooney-Rivlin) function.

参考文章(10)
M. Mooney, A Theory of Large Elastic Deformation Journal of Applied Physics. ,vol. 11, pp. 582- 592 ,(1940) , 10.1063/1.1712836
R.W. Ogden, P. Chadwick, On the deformation of solid and tubular cylinders of incompressible isotropic elastic material Journal of the Mechanics and Physics of Solids. ,vol. 20, pp. 77- 90 ,(1972) , 10.1016/0022-5096(72)90032-4
L. Anand, On H. Hencky’s Approximate Strain-Energy Function for Moderate Deformations Journal of Applied Mechanics. ,vol. 46, pp. 78- 82 ,(1979) , 10.1115/1.3424532
L. R. G. Treloar, D. J. Montgomery, The physics of rubber elasticity ,(1949)
C. Truesdell, The mechanical foundations of elasticity and fluid dynamics Indiana University Mathematics Journal. ,vol. 1, pp. 125- 300 ,(1952) , 10.1512/IUMJ.1952.1.51005
R. S. Rivlin, Torsion of a Rubber Cylinder Journal of Applied Physics. ,vol. 18, pp. 444- 449 ,(1947) , 10.1063/1.1697674
Large Elastic Deformations of Isotropic Materials. VII. Experiments on the Deformation of Rubber Philosophical Transactions of the Royal Society A. ,vol. 243, pp. 251- 288 ,(1951) , 10.1098/RSTA.1951.0004
H. Hencky, The Elastic Behavior of Vulcanized Rubber Rubber Chemistry and Technology. ,vol. 6, pp. 217- 224 ,(1933) , 10.5254/1.3547545