Moving interfaces that separate loose and compact phases of elastic aggregates: A mechanism for drastic reduction or increase in macroscopic deformation

Continuum Mechanics and Thermodynamics

Volumn 25, Issue 2-4, 2013, Pages 311-341

  Deseri, Luca ^a   Owen, David R ^b  

^a UNIVERSITY OF TRENTO   (Italy)

^b CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

Elastic aggregates; Granular materials; Phase transitions; Structured deformations

Indexed keywords

DEFORMATION; ELASTICITY; FREE ENERGY; GRANULAR MATERIALS; PHASE TRANSITIONS;

CONVEXITY PROPERTIES; ENERGY RESPONSE; MACROSCOPIC DEFORMATIONS; MOVING INTERFACE; MOVING SURFACES; STRESS-FREE STATE; STRUCTURED DEFORMATION; VOLUME CHANGE;

AGGREGATES;

EID: 84879690306     PISSN: 09351175     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00161-012-0260-y     Document Type: Article

References (15)

1. Del Piero G., Owen D.R.: Structured deformations of continua. Arch. Ration. Mech. Anal. 124, 99-155 (1993)
2. Capriz, G., Giovine, P., Mariano, P.M. (eds.): Mathematical Models of Granular Materials, Lecture Notes in Mathematics, vol. 1937, Springer, Berlin, Heidelberg (2008)
3. Deseri L., Owen D.R.: Toward a field theory for elastic bodies undergoing disarrangements. J. Elast. 70, 197-236 (2003)
4. Deseri L., Owen D.R.: Submacroscopically stable equilibria of elastic bodies undergoing dissipation and disarrangements. Math. Mech. Solids 15, 611-638 (2010)
5. Khakhar D.: Rheology and mixing of granular materials. Macromol. Mater. Eng. 296, 278-289 (2011)
6. Bićanić B.: Discrete element methods. In: Stein, I., de Borst, R., Hughes, T. (eds.) Encyclopedia of Computational Mechanics, vol. I, chap. 11, Wiley, London (2007)
7. Soroush A., Ferdowsi B.: Three dimensional discrete element modeling of granular media under cyclic constant volume loading: a micromechanical perspective. Powder Technol. 212, 1-16 (2011)
8. Alam M., Luding S.: First normal stress difference and crystallization in a dense sheared granular fluid. Phys. Fluids 15, 2298-2312 (2003)
9. Mueggenburg, N.: Behavior of granular materials under cyclic shear. Phys. Rev. E 71, 031301-0313010 (2005)
10. Ciarlet, P.G.: Mathematical Elasticity, vol. I: Three Dimensional Elasticity. Studies in Mathematics and its Applications. vol. 20, North Holland, Amsterdam (1988)
11. Abeyaratne R., Knowles J.K.: Kinetic relations and the propagation of phase boundaries in solids. Arch. Ration. Mech. Anal. 114, 119-154 (1991)
12. Owen D.R.: Field equations for elastic constituents undergoing disarrangements and mixing. In: Šilhavý, M. (ed.) Mathematical Modelling of Bodies with Complicated Bulk and Boundary Behavior. Quaderni di Matematica 20, pp. 101-133. Aracne, Rome (2007)
13. Mizel V.J.: On the ubiquity of fracture in nonlinear elasticity. J. Elast. 52, 257-266 (1999)
14. Šilhavý, M.: Energy minimization for isotropic nonlinear elastic bodies. In: Del Piero, G., Owen, D.R. (eds.) Multiscale Modeling in Continuum Mechanics and Structured Deformations, pp. 1-51, CISM Courses and Lectures No. 447, Springer, Heidelberg (2004)
15. Gajo A., Bigoni D., Muir-Wood D.: Multiple shear band development and related instabilities in granular materials. J. Mech. Phys. Solids 52, 2683-2724 (2004)