Models: Micro-Macro

The problem of relating mechanical response of materials to their microstructure is common to many areas. It is relevant in mechanics of polycrystalline, granular (and other type) media, in problems of effective moduli and problems of crack propagation and damage formation/evolution. We thus have seven papers in this session. In the following, rather than providing here a review of each of these papers, we give a discussion of salient features and techniques common to various disciplines that these papers represent. This is accompanied by an account of state of the art and future challenges in micromechanics. It is hoped that the reader will see potential applications in study of other types of materials, e.g. cellular, fibrous, biological.

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[2]  M. Ostoja-Starzewski.  Micromechanics as a Basis of Continuum Random Fields , 1994 .

[3]  H. Herrmann,et al.  Statistical models for the fracture of disordered media. North‐Holland, 1990, 353 p., ISBN 0444 88551x (hardbound) US $ 92.25, 0444 885501 (paperback) US $ 41.00 , 1990 .

[4]  Christian Huet,et al.  Application of variational concepts to size effects in elastic heterogeneous bodies , 1990 .

[5]  Stewart K. Kurtz,et al.  Properties of a three-dimensional Poisson-Voronoi tesselation: A Monte Carlo study , 1992 .

[6]  T. Mura.  Micromechanics of Defects , 1992 .

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[9]  D. Fokwa,et al.  Spatial Variability in Concrete: Nature, Structure, and Consequences , 1994 .

[10]  Ching S. Chang,et al.  Estimates of Elastic Modulus for Media of Randomly Packed Granules , 1994 .

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[14]  Voronoi Cell Finite Element Model for Thermoelastoplastic Deformation in Random Heterogeneous Media , 1994 .

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[17]  Toshio Mura,et al.  Micromechanics of defects in solids , 1982 .

[18]  M. Kachanov,et al.  Effective Elastic Properties of Solids with Randomly Located Defects , 1994 .

[19]  D. Jeulin.  Fracture Statistics Models and Crack Propagation in Random Media , 1994 .

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[23]  M. Kachanov,et al.  Effective Moduli of Solids With Cavities of Various Shapes , 1994 .

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[25]  D. Jeulin,et al.  Some aspects of mathematical morphology for physical applications , 1989 .

[26]  Mark Kachanov,et al.  Elastic Solids with Many Cracks and Related Problems , 1993 .

[27]  Martin Ostoja-Starzewski,et al.  Micromechanics as a Basis of Stochastic Finite Elements and Differences: An Overview , 1993 .

[28]  C. Huet.  Experimental Characterization, Micromechanical Simulation and Spatio-Stochastic Approach of Concrete Behaviours Below the Representative Volume , 1994 .

[29]  Modeling Granular Fabric by Tensors and their Statistical Test , 1994 .

[30]  Ching S. Chang.  Micromechanical Model for Randomly Packed Granules , 1994 .

[31]  D. Jeulin.  Morphological Models for Fracture Statistics , 1993 .