Local analysis and global nonlinear behaviour of periodic assemblies of bodies in elastic contact

Computational Mechanics

Volumn 24, Issue 4, 1999, Pages 217-229

  Zhang, H W ^a   Galvanetto, U ^b   Schrefler, B A ^b  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

^b UNIVERSITY OF PADOVA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011928109     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660050510     Document Type: Article

References (49)

1. Allen DH, Jones RH, Boyd JG (1994) Micromechanical analysis of continuous fiber metal matrix composite including the effects of matrix viscoplasticity and evolving damage. J. Mech. Phys. Solids 42:505-529
2. Body JG, Costanzo F, Allen DH (1993) A micromechanics approach for constructing locally averaged damage dependent constitutive equations in inelastic composites. Int. J. Damage Mech. 2:209-228
3. Bui HD, Ehrlacher A (1980) Propagation dynamique d'une zone endommagée dans un solide élastique-fragile en mode III et en régime permanent. C. R. Acad. Sci. Ser. B290:273-276
4. Carpenter NJ, Taylor RL, Katona MG (1991) Lagrange constraints for transient finite element surface contact. Int. J. Num. Meth. Eng. 32:103-128
5. Chang CS, Misra A, Acheampong K (1992a) Elastoplastic deformation for particulates with frictional contacts. ASCE J. Eng. Mech. 118:1692-1707
6. Chang CS, Chang Y, Kabir MG (1992b) Micromechanical modelling for stress-strain behaviour of granular soils. I: Theory, ASCE J. Geotech. Eng. 118:1959-1974
7. Chang CS, Kabir MG, Chang Y (1992c) Micromechanical modelling for stress-strain behaviour of granular soils. II:Evaluation, ASCE J. Geotech. Eng. 118:1975-1992
8. Costanzo F, Body JG, Allen DH (1996) Micromechanics and homogenization of inelastic composite materials with growing cracks. J. Mech. Phys. Solids 44:333-370
9. Cundall PA, Strack ODL (1979) A discrete numerical model for granular assemplies. Geotechnique 29:47-65
10. Dvorak GJ (1992) Transformation field analysis of inelastic composite materials. Proc. R. Soc. London. A437:311-327
11. Dvorak GJ, Benveniste Y (1992) On transformation strains and uniform fields in multiphase elastic media. Proc. R. Soc. London. A437:291-310
12. Ghosh S, Moorthy S (1995) Elsto-plastic analysis of arbitrary heterogenous materials with the Voronoi-Cell Finite Element Method. Comp. Meth. Appl. Mech. Eng. 121:373-409
13. Hill R (1965a) A self-consistent mechanics of composite materials. J. Mech. Phys. Solids 13:213-222
14. Hill R (1965b) Continuum micro-mechanics of composite materials. J. Mech. Phys. Solids 13:89-101
15. Hill R (1967) The essential structure of constitutive laws for metal composites and polycrystals. J. Mech. Phys. Solids 15:79-95
16. Hill J, Rice JR (1973) Elastic potentials and the structure of inelastic constitutive laws. SIAM J. Appl. Math. 25:448-461
17. Lefik M, Schrefler BA (1994) Application of the homogenisation method to the analysis of superconducting coils. Fusion Eng. Des. 24:231-255
18. Kroner E (1967) Elastic moduli of perfect disordered composite materials. J. Mech. Phys. Solids 15:319-340
19. Mandel J (1964) Proceedings of the 11th international congress on applied Mechanics. Munich:502-509
20. Mandel J (1971) Plasticité Classique et Viscoplaticité, Course and Lectures No.17. CISM, Udine/Springer-Verlag
21. Mandel J (1977) Equations de comportement d'un système élastoviscoplastique dont l'ecrouissage est dû à des contraintes residuelles. C. R. Acad. Sci. Paris 284:257-260
22. Mori T, Tanaka K (1973) Average stress in matrix and average energy of materials with misfitting inclusions. Acta. Metall. 21:571-575
23. Ng TT (1992) A non-linear numerical model for soil mechanics. Int. J. Numer. Anal. Meth. Geomech. 16, 247-263
24. Reiter T, Dvorak GJ (1997) Micromechanical models for graded composite materials. J. Mech. Phys. Solids 45:1281-1302
25. Rice JR (1970) On the structure of stress-strain relations for time-dependent plastic deformation in metals. J. Appl. Mech. Trans. ASME 37:728-737
26. Rice JR (1971) Inelastic constitutive relations for solids: an internal variable theory and its application to metal plasticity. J. Mech. Phys. Solids 19:433-455
27. Rice JR (1975) Constitutive equations in plasticity, 23-79. The MIT Press, Cambridge, MA
28. Rodriguez-Ortiz JM (1974) Estudio del comportamiento de medios granulares heterogeneous mediante modelos discontinuous analogicos y matematicos. Ph.D: Thesis, Universidad Politecnica de Madrid
29. Roscoe R (1952) The viscosity of suspensions of rigid spheres. Brit. J. Appl. Phys. 3:267
30. Rothenburg L, Bathurst RJ (1992) Micromechanical features of granular assemblies with planar elliptical particles. Geotechnique 42:79-95
31. Schrefler AB, Galvanetto U, Pellegrino C, Ohmenhaeuser F (1997) Macroscopic effective yield surfaces taking into account microscopic behaviour. Proc. Of IUTAM/IACM Symposium on Discretisation Methods in Structural Mechanics II, Vienna, Austria
32. Schroeder J (1996) Theoretiche und algorithmische Konzepte zur phaenomeno logischen Beschreibung anisotropen Material-verhaltens Bericht des Instituts für Mechanik. I-1, Universitat Stuttgart
33. Schroeder J, Miehe C (1997) Aspects of computational homogenization analysis of polycrystalline materials. In: Qwen DRJ, Onate E, Hinton E (eds.) Computational Plasticity, Barcelona
34. Serano AA, Rodriguez-Ortiz JM (1973) A contribution to the mechanics of heterogenenous granular media. Proc. Symposium on the Role of Plasticity in Soil Mechanics (ed. A.C. Palmer), Cambridge, 215-228
35. Stolz C (1986) General relationships between micro and macro scales for the non-linear behavior of heterogeneous media. In: Gittus J, Zarka J (eds.) Modelling....Polycrystals, pp 89-115, Elsevier
36. Suquet P (1982) Plastite et homogeneisation, These de Doctorat d'Etat, Universite Pierre et Marie Curie, Paris IV
37. Suquet PM (1985) Local and global aspects in the mathematical theory of plasticity. In: Sawczuk A, Bianchi G (eds.) Plasticity....Applications, pp 279-310, Elsevier Applied Science Publishers
38. Suquet PM (1987) Elements of homogenization of inelastic solid mechanics. In: Sanchez-Palencia E, Zaoui A (eds.) Homogenization Techniques for Composite Media pp 194-275. Springer-Verlag
39. Thorton C, Randall CW (1988) Applications of theoretical contact mechanics to solid particle system simulation. In: Satake M, Jenkins TJ (eds.) Micromechanics of Granular Materials pp 133-142, Elsevier, Amsterdam
40. Tvergaard V (1990) Analysis of tensile properties for whisker-reinforced metal-matrix composites. Acta Metall. Mater. 38:185-194
41. Walton OR, Braun RL (1986) Stress calculation for assemblies of inelastic spheres in uniform shear. Acta Mechanica 63:73-86
42. Wren JR, Borja RI (1995a) Micromechanics of granular media Part I: Generation of overall constitutive equation for assemblies of circular disks. Comp. Meth. Appl. Mech. Eng. 127:13-36
43. Wren JR, Borja RI (1995b) Micromechanics of granular media Part II Overall tangential moduli and localization model for periodic assemblies of circular disks. Comp. Meth. Appl. Mech. Eng. 141:221-246
44. Wriggers P, Wagner W, Stein E (1987) Algorithms for non-linear contact constraints with application to stability problems of rod and shells. Comp. Mech. 2:215-230
45. Wriggers P, Simo JC (1985) A note on tangent stiffness for fully nonlinear contact problems. Comm. A. Num. Meth. 1:195-203
46. Yishino Y (1988) Disc model analysis of granular media. In: Satake M, Jenkins TJ (eds.) Micromechanics of Granular Materials pp 143-152
47. Zhang HW, Zhong WX, Gu YX (1995) A combined programming and iteration algorithm for finite element analysis of three-dimensional contact problems. Acta Mech. Sinica 11:318-326
48. Zhong WX, Zhang HW, Wu CW (1997) Parametric variational principle and it application in engineering. Scientific Publication, Beijing
49. Zhong WX, Zhang RL (1987) Quadratic programming with parametric vector in plasticity and geomechanics. NUMETA'87, Martinus Nijhoff, Dordrecht