TY - JOUR
T1 - Critical properties of an elastic fractal
AU - Bergman, David J.
AU - Kantor, Yacov
PY - 1984
Y1 - 1984
N2 - Some solvable fractal models of the percolating backbone are used to investigate the critical behavior of a random, d-dimensional, isotropic, elastic medium. The critical exponent T for the elastic moduli is found to be appreciably greater than the conductivity exponent t, and the ratio of bulk to shear modulus is found to have the universal value 4d. A comparison with the effective-medium and the Clausius-Mossotti-type approximations leads to the conjecture that the result 4d is in fact exact.
AB - Some solvable fractal models of the percolating backbone are used to investigate the critical behavior of a random, d-dimensional, isotropic, elastic medium. The critical exponent T for the elastic moduli is found to be appreciably greater than the conductivity exponent t, and the ratio of bulk to shear modulus is found to have the universal value 4d. A comparison with the effective-medium and the Clausius-Mossotti-type approximations leads to the conjecture that the result 4d is in fact exact.
UR - http://www.scopus.com/inward/record.url?scp=3743148207&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.53.511
DO - 10.1103/PhysRevLett.53.511
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AN - SCOPUS:3743148207
SN - 0031-9007
VL - 53
SP - 511
EP - 514
JO - Physical Review Letters
JF - Physical Review Letters
IS - 6
ER -