Normal and tangential force-displacement relations for frictional elasto-plastic contact of spheres

[1]  H. Hertz.  Ueber die Berührung fester elastischer Körper. , 1882 .

[2]  R. M. Davies,et al.  The determination of static and dynamic yield stresses using a steel ball , 1949, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[3]  Raymond D. Mindlin,et al.  Compliance of elastic bodies in contact , 1949 .

[4]  R. D. Mindlin.  Elastic Spheres in Contact Under Varying Oblique Forces , 1953 .

[5]  W. Goldsmith,et al.  Impact: the theory and physical behaviour of colliding solids. , 1960 .

[6]  J. Bitter.  A study of erosion phenomena part I , 1963 .

[7]  C. N. Baronet,et al.  The elasto‐plastic indentation of a half‐space by a rigid sphere , 1971 .

[8]  G. B. Sinclair,et al.  Quasi-static normal indentation of an elasto-plastic half-space by a rigid sphere—II. Results , 1984 .

[9]  K. Johnson.  Contact Mechanics: Frontmatter , 1985 .

[10]  N. Chandrasekaran,et al.  A nonlinear higher order shear deformation shell element for dynamic explicit analysis: part II. performance validation through standard tests , 1987 .

[11]  C. Thornton,et al.  Applications of Theoretical Contact Mechanics to Solid Particle System Simulation , 1988 .

[12]  James C. M. Li,et al.  Photoelastic and finite element analysis of different size spheres in contact , 1992 .

[13]  J. Jaeger.  Elastic impact with friction , 1992 .

[14]  David B. Bogy,et al.  Elastic-Plastic Finite Element Analysis of Repeated Indentation of a Half-Space by a Rigid Sphere , 1993 .

[15]  Mihail C. Roco,et al.  Particulate two-phase flow , 1993 .

[16]  B. Mishra.  Ball Charge Dynamics in a Planetary Mill , 1995 .

[17]  David B. Bogy,et al.  Finite Element Analysis of Repeated Indentation of an Elastic-Plastic Layered Medium by a Rigid Sphere, Part II: Subsurface Results , 1995 .

[18]  Spahn,et al.  Model for collisions in granular gases. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[19]  Thomas A. Dow,et al.  Contact Between Elastic Bodies With an Elliptic Contact Interface in Torsion , 1997 .

[20]  C. Thornton.  Coefficient of Restitution for Collinear Collisions of Elastic-Perfectly Plastic Spheres , 1997 .

[21]  L. Vu-Quoc,et al.  An elastoplastic contact force–displacement model in the normal direction: displacement–driven version , 1999, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[22]  A Generalization of Cattaneo-Mindlin for Thin Strips , 1999 .

[23]  L. Vu-Quoc,et al.  A 3-D discrete-element method for dry granular flows of ellipsoidal particles , 2000 .

[24]  L. Vu-Quoc,et al.  A Normal Force-Displacement Model for Contacting Spheres Accounting for Plastic Deformation: Force-Driven Formulation , 2000 .