Interaction Model for “Shelled Particles” and Small-Strain Modulus of Granular Materials

Author:

Zhou Shun-hua1,Guo Peijun23,Stolle Dieter F. E.4

Affiliation:

1. Professor Key Laboratory of Road and Traffic Engineering of the State Ministry of Education, Tongji University, Shanghai 200092, China e-mail:

2. Professor Key Laboratory of Road and Traffic Engineering of the State Ministry of Education, Tongji University, Shanghai 200092, China;

3. Department of Civil Engineering, McMaster University, Hamilton L8S 4L7, ON, Canada e-mail:

4. Professor Department of Civil Engineering, McMaster University, Hamilton L8S 4L7, ON, Canada e-mail:

Abstract

The elastic modulus of a granular assembly composed of spherical particles in Hertzian contact usually has a scaling law with the mean effective pressure p as K∼G∼p1/3. Laboratory test results, however, reveal that the value of the exponent is generally around 1/2 for most sands and gravels, but it is much higher for reclaimed asphalt concrete composed of particles coated by a thin layer of asphalt binder and even approaching unity for aggregates consisting of crushed stone. By assuming that a particle is coated with a thin soft deteriorated layer, an energy-based simple approach is proposed for thin-coating contact problems. Based on the features of the surface layer, the normal contact stiffness between two spheres varies with the contact force following kn∼Fnm and m∈[1/3,  1], with m=1/3 for Hertzian contact, m=1/2 soft thin-coating contact, m=2/3 for incompressible soft thin-coating, and m=1 for spheres with rough surfaces. Correspondingly, the elastic modulus of a random granular packing is proportional to pm with m∈[1/3,  1].

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference49 articles.

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2. Über Die Beruhrüng Fester Elastischer Körper;J. Für Die Reine Angew. Math.,1881

3. Elastic Spheres in Contact Under Varying Oblique Force;ASME J. Appl. Mech.,1953

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