Role of particle rotations and rolling resistance in a semi-infinite particulate solid indented by a rigid flat punch

Particle rotations, and in particular, rolling resistance are known to have a dominant influence on the macroscopic behaviour of particulate materials. We examine the influence of these factors in the constitutive response of a semi-infinite material to indentation by a rigid flat punch on the material boundary. Extensive particle rotations are found to occur near the edges of the punch where stress concentrations exist, and from where plastic strains which localise into so-called shear bands emanate. The effects of rolling resistance are found to have a significant influence on the load-deflection characteristics of the punch.

[1]  R. Hill The mathematical theory of plasticity , 1950 .

[2]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .

[3]  G. Gladwell Contact Problems in the Classical Theory of Elasticity , 1980 .

[4]  Masanobu Oda,et al.  Experimental micromechanical evaluation of strength of granular materials: Effects of particle rolling , 1982 .

[5]  M. Oda,et al.  Microstructure of shear bands and its relation to the mechanisms of dilatancy and failure of dense granular soils , 1998 .

[6]  Antoinette Tordesillas,et al.  Frictional indentation of dilatant granular materials , 1999, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[7]  J. Barbera,et al.  Contact mechanics , 1999 .

[8]  M. Oda,et al.  Micro-Deformation Mechanism of Shear Banding Process Based on Modified Distinct Element Method , 1999 .

[9]  Masanobu Oda,et al.  Study on couple stress and shear band development in granular media based on numerical simulation analyses , 2000 .

[10]  W. Ehlers Foundations of multiphasic and porous materials , 2002 .

[11]  A. Tordesillas,et al.  Incorporating rolling resistance and contact anisotropy in micromechanical models of granular media , 2002 .

[12]  Richard P. Jensen,et al.  Discrete Element Methods: Numerical Modeling of Discontinua , 2002 .

[13]  Antoinette Tordesillas,et al.  A thermomechanical approach to the development of micropolar constitutive models of granular media , 2004 .

[14]  J. Peters,et al.  Insights into 1D localisation theory and micromechanical constitutive laws , 2004 .

[15]  Antoinette Tordesillas,et al.  Shear band evolution and accumulated microstructural development in Cosserat media , 2004 .

[16]  Yi Liu,et al.  A Nonlinear Finite Element Model of Soft Tissue Indentation , 2004, ISMS.

[17]  Antoinette Tordesillas,et al.  Micromechanics of shear bands , 2004 .

[18]  S. Walsh,et al.  Finite element methods for micropolar models of granular materials , 2006 .