Large Deformations of an Elastic Solid

1948 ◽  
Vol 15 (4) ◽  
pp. 362-368
Author(s):  
E. G. Chilton

Abstract Hencky’s stress-strain relation for large deformations of a rubberlike material is reviewed. It is then applied to the specific cases of pure tension, compression, bending, shear, and torsion. Each of these cases is verified experimentally on samples made from natural rubber. Particular emphasis is placed on the shear and torsion analysis because of its importance to practical applications.

2011 ◽  
Vol 86 (6-8) ◽  
pp. 1462-1465 ◽  
Author(s):  
E. Briani ◽  
C. Gianini ◽  
F. Lucca ◽  
A. Marin ◽  
J. Fellinger ◽  
...  

Author(s):  
Kristian Krabbenhoft ◽  
J. Wang

A new stress-strain relation capable of reproducing the entire stress-strain range of typical soil tests is presented. The new relation involves a total of five parameters, four of which can be inferred directly from typical test data. The fifth parameter is a fitting parameter with a relatively narrow range. The capabilities of the new relation is demonstrated by the application to various clay and sand data sets.


1957 ◽  
Vol 24 (4) ◽  
pp. 585-593
Author(s):  
J. Duffy ◽  
R. D. Mindlin

Abstract A differential stress-strain relation is derived for a medium composed of a face-centered cubic array of elastic spheres in contact. The stress-strain relation is based on the theory of elastic bodies in contact, and includes the effects of both normal and tangential components of contact forces. A description is given of an experiment performed as a test of the contact theories and the differential stress-strain relation derived from them. The experiment consists of a determination of wave velocities and the accompanying rates of energy dissipation in granular bars composed of face-centered cubic arrays of spheres. Experimental results indicate a close agreement between the theoretical and experimental values of wave velocity. However, as in previous experiments with single contacts, the rate of energy dissipation is found to be proportional to the square of the maximum tangential contact force rather than to the cube, as predicted by the theory for small amplitudes.


2009 ◽  
Vol 65 (4) ◽  
pp. 548-563 ◽  
Author(s):  
Mitsuyoshi AKIYAMA ◽  
Hideki NAITO ◽  
Kiyoshi ONO ◽  
Nobutaka SHIRAHAMA ◽  
Daisuke MATSUMOTO ◽  
...  

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