Saturation of the even-order bounds on effective elastic moduli by finite-rank laminates
- 15 June 1990
- journal article
- research article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 67 (12) , 7300-7306
- https://doi.org/10.1063/1.344515
Abstract
Sufficient conditions on the phase geometry for the reduction of even-order bounds to bounds of second order are derived. It is found that finite-rank laminates satisfy the sufficient conditions asymptotically as the length scale of the laminar microstructure goes to zero. This result is used to show that the effective elastic tensors of finite-rank laminates saturate the even-order bounds in the fine-scale limit.This publication has 14 references indexed in Scilit:
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