A Differential Stress-Strain Relation for the Hexagonal Close-Packed Array of Elastic Spheres

1959 ◽  
Vol 26 (1) ◽  
pp. 88-94
Author(s):  
J. Duffy
Keyword(s):  
Contact Forces ◽  
Stress Strain ◽  
Differential Stress ◽  
Hexagonal Close Packed ◽  
Elastic Bodies ◽  
Strain Relation ◽  
Stress Strain Relation

Abstract A differential stress-strain relation is derived for a medium composed of a hexagonal close-packed 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. Results of an experiment performed as a test of the differential stress-strain relation are presented.

Stress-Strain Relations and Vibrations of a Granular Medium

1957 ◽  
Vol 24 (4) ◽  
pp. 585-593
Author(s):  
J. Duffy ◽  
R. D. Mindlin
Keyword(s):  
Energy Dissipation ◽  
Contact Forces ◽  
Face Centered Cubic ◽  
Stress Strain ◽  
Differential Stress ◽  
Elastic Bodies ◽  
Strain Relation ◽  
Stress Strain Relation ◽  
Face Centered ◽  
Experimental Values

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.

scholarly journals Limit analysis of narrow support elements in W7-X considering the serration effect of the stress–strain relation at 4K

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

Analytical stress-strain relation for soils

2021 ◽  
Author(s):  
Kristian Krabbenhoft ◽  
J. Wang
Keyword(s):  
Test Data ◽  
Narrow Range ◽  
Strain Range ◽  
Data Sets ◽  
Soil Tests ◽  
Stress Strain ◽  
Strain Relation ◽  
Stress Strain Relation ◽  
Typical Test ◽  
Typical Soil

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.

scholarly journals A MODEL FOR STRESS-STRAIN RELATION OF PRESTRESSING STEELS UNDER CYCLIC LOAD

2001 ◽  
Vol 66 (550) ◽  
pp. 7-14
Author(s):  
Masashi HIRAO ◽  
Tadashi NAKATSUKA ◽  
Shigeru MIZOGUCHI
Keyword(s):  
Cyclic Load ◽  
Stress Strain ◽  
Strain Relation ◽  
Stress Strain Relation

scholarly journals CONCENTRIC LOADING TESTS OF CONCRETE FILLED SPIRAL STEEL TUBES AND STRESS-STRAIN RELATION OF CONCRETE CONFINED BY STEEL TUBES

2009 ◽  
Vol 65 (4) ◽  
pp. 548-563 ◽  
Author(s):  
Mitsuyoshi AKIYAMA ◽  
Hideki NAITO ◽  
Kiyoshi ONO ◽  
Nobutaka SHIRAHAMA ◽  
Daisuke MATSUMOTO ◽  
...  
Keyword(s):  
Stress Strain ◽  
Steel Tubes ◽  
Strain Relation ◽  
Stress Strain Relation ◽  
Loading Tests ◽  
Concentric Loading
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