Saturation of the even-order bounds on effective elastic moduli by finite-rank laminates
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.
Publication Source (Journal or Book title)
Journal of Applied Physics
Lipton, R. (1990). Saturation of the even-order bounds on effective elastic moduli by finite-rank laminates. Journal of Applied Physics, 67 (12), 7300-7306. https://doi.org/10.1063/1.344515