# Mathematics and Mechanics of Granular Materials by Alexander Soifer

By Alexander Soifer

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Extra info for Mathematics and Mechanics of Granular Materials

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Then the macro-motion can be described by x1 = X1 + f1 (X2 , t) , x2 = X2 + f2 (X2 , t) and x3 = X3 , where the spatial co-ordinates xi (i = 1, 2, 3) represent the current position of a 40 E. Bauer (b) (a) (c) Figure 1. Modeling of plane shearing under constant vertical pressure p0 = −σ22 : (a) section of the inﬁnite granular layer between parallel plates with rough surfaces, (b) kinematics of plane shearing with dilatancy and degrees of freedom u1 , u2 and ω3 , (c) stress components σ11 , σ22 , σ33 , σ12 , σ21 and couple-stress components M31 and M32 with respect to the Cartesian co-ordinate system.

32. 33. H. B. Burland, On the generalized stress-strain behavior of ‘wet’ clay. In: J. A. Leckie (eds), Engineering Plasticity. Cambridge: Cambridge University Press (1968) pp. 535–609. G. Gudehus, F. Darve and I. Vardoulakis, Constitutive Relations of Soils. Rotterdam: Balkema (1984) pp. 5–12. A. L. Strack, A discrete numerical model for granular assemblages. G´eotechnique 29 (1979) 47–65. K. Bagi, Stress and strain in granular assemblies. Mech. Mater. 22 (1996) 165–177. A. Cundall, A. L. Strack, Numerical experiments on granular assemblies; measurements and observations.

J. Statist. Phys. 68 (1992) 911–923. 34 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 56. 57. 58. 59. F. J. Herrmann A. Okabe, B. Boots and K. Sugihara, Spatial Tessellations. Concepts and Applications of Voronoi Diagrams. Wiley Series in probability and Mathematical Statistics. Chichester: John Wiley & Sons (1992) 532 pp. J. J. Herrmann, Simulating deformations of granular solids under shear. Physica A 217 (1995) 261–288. P. J. Tildesley, Computer Simulation of Liquids.