Axial stress–strain relation of encapsulated granular column

A standard technique for finding the shear stress-strain relation of a material employs a torsion test on a solid circular cylinder. It is shown that the exact solution is easily obtained as a correction to the sometimes-used quasielastic approximation. The solution is extended to the case of hollow cylinders. The analysis is shown to be applicable also to the case where a constant axial stress is present, and to a special case of planar isotropic materials.

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Accurate measurement of stress–strain relation under high strain rate condition by using non-coaxial Hopkinson bar method

DYMAT 2009 - 9th International Conferences on the Mechanical and Physical Behaviour of Materials under Dynamic Loading ◽

10.1051/dymat/2009017 ◽

2009 ◽

Author(s):

T. Umeda ◽

K. Mimura

Keyword(s):

High Strain Rate ◽

Strain Rate ◽

High Strain ◽

Hopkinson Bar ◽

Stress Strain ◽

Rate Condition ◽

Strain Relation ◽

Stress Strain Relation ◽

Strain Rate Condition

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

Fusion Engineering and Design ◽

10.1016/j.fusengdes.2011.02.066 ◽

2011 ◽

Vol 86 (6-8) ◽

pp. 1462-1465 ◽

Cited By ~ 9

Author(s):

E. Briani ◽

C. Gianini ◽

F. Lucca ◽

A. Marin ◽

J. Fellinger ◽

...

Keyword(s):

Limit Analysis ◽

Stress Strain ◽

Strain Relation ◽

Stress Strain Relation

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Comment about “On bending of thin plates of material having a non-linear stress-strain relation”3 by Y. Ohashi and N. Kamiya

International Journal of Mechanical Sciences ◽

10.1016/0020-7403(67)90034-3 ◽

1967 ◽

Vol 9 (11) ◽

pp. 775

Author(s):

John E. Hockett

Keyword(s):

Thin Plates ◽

Stress Strain ◽

Strain Relation ◽

Stress Strain Relation ◽

Non Linear

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Analytical stress-strain relation for soils

Canadian Geotechnical Journal ◽

10.1139/cgj-2021-0043 ◽

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.

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Stress-Strain Relations and Vibrations of a Granular Medium

Journal of Applied Mechanics ◽

10.1115/1.4011605 ◽

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.

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