TY - JOUR
T1 - Elastic moduli of two-dimensional composites with sliding inclusions-A comparison of effective medium theories
AU - Jun, Sukky
AU - Jasiuk, Iwona
N1 - Funding Information:
Acknowledgements-We would like to thank Professors Michael Thorpe and Martin Ostoja-Starzewski for numerous discussions on this project and the reviewers for their comments and constructive criticism. This research was supported by the Composite Materials and Structures Center at Michigan State University through the Research Excellence Fund from State of Michigan.
PY - 1993
Y1 - 1993
N2 - We study the effective elastic moduli of two-dimensional (2D) composite materials containing sliding circular inclusions distributed randomly in the matrix. To simulate sliding we introduce a sliding parameter, which in two limiting cases gives perfect bonding and pure sliding boundary conditions. We evaluate elastic moduli using four effective medium theories; the self-consistent method, the differential scheme, the Mori-Tanaka method and the generalized self-consistent method. In this paper we focus on two aspects: one is the study of the effect of interface on the elastic constants of composites and the other is a comparison of the results from effective medium theories for the cases of both sliding and perfect bonding. In the discussion we use the recently-stated Cherkaev-Lurie-Milton theorem, which gives general relations between the effective elastic constants of 2D composites. We also compare the results from the effective medium theories with those from numerical simulations.
AB - We study the effective elastic moduli of two-dimensional (2D) composite materials containing sliding circular inclusions distributed randomly in the matrix. To simulate sliding we introduce a sliding parameter, which in two limiting cases gives perfect bonding and pure sliding boundary conditions. We evaluate elastic moduli using four effective medium theories; the self-consistent method, the differential scheme, the Mori-Tanaka method and the generalized self-consistent method. In this paper we focus on two aspects: one is the study of the effect of interface on the elastic constants of composites and the other is a comparison of the results from effective medium theories for the cases of both sliding and perfect bonding. In the discussion we use the recently-stated Cherkaev-Lurie-Milton theorem, which gives general relations between the effective elastic constants of 2D composites. We also compare the results from the effective medium theories with those from numerical simulations.
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U2 - 10.1016/0020-7683(93)90163-2
DO - 10.1016/0020-7683(93)90163-2
M3 - Article
AN - SCOPUS:0027277631
SN - 0020-7683
VL - 30
SP - 2501
EP - 2523
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
IS - 18
ER -