TY - JOUR
T1 - Phase-interchange relations for the elastic moduli of two-phase composites
AU - Gibiansky, L. V.
AU - Torquato, S.
N1 - Funding Information:
Acknowledgements--We are grateful to G. W. Milton for stimulating discussions and for help with the references. We gratefully acknowledge the support of the Air Force Office of Scientific research under grant no. F49620-92-J-0501 and of the Department of Energy under grant no. DEFG02-92ER14275.
PY - 1996/5
Y1 - 1996/5
N2 - For Isotropic two-phase composites, we derive phase-interchange inequalities for the bulk and shear moduli in two and three space dimensions. We find optimal microstructures that realize part of the bulk and shear moduli bounds in two dimensions. Geometrical-parameter bounds and the translation method are used to prove the results. The phase-interchange relations are applied to composites with cavities or a perfectly rigid phase, composites near the percolation threshold, incompressible composites, composites with equal bulk or shear phase moduli, and symmetric composites.
AB - For Isotropic two-phase composites, we derive phase-interchange inequalities for the bulk and shear moduli in two and three space dimensions. We find optimal microstructures that realize part of the bulk and shear moduli bounds in two dimensions. Geometrical-parameter bounds and the translation method are used to prove the results. The phase-interchange relations are applied to composites with cavities or a perfectly rigid phase, composites near the percolation threshold, incompressible composites, composites with equal bulk or shear phase moduli, and symmetric composites.
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U2 - 10.1016/0020-7225(95)00130-1
DO - 10.1016/0020-7225(95)00130-1
M3 - Article
AN - SCOPUS:0041621259
SN - 0020-7225
VL - 34
SP - 739
EP - 760
JO - International Journal of Engineering Science
JF - International Journal of Engineering Science
IS - 7
ER -