Relaxed grain cluster (RGC) homogenization scheme

Homogenization scheme for acoustic metamaterials

Min Yang,1,* Guancong Ma,1 Ying Wu,3 Zhiyu Yang,1 and Ping Sheng1,2,† 1Department of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China 2Institute of Advanced Study, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China 3Division of Computer, Electrical and Mathematical Science and Engineering, King Abdullah U...

Self-consistent scheme for toughness homogenization

Considering a semi-infinite planar crack propagating along a plane where the local toughness is a random field, the addressed problem is to compute the effective (or homogeneous and macroscopic) toughness. After a brief introduction to the two regimes — strong and weak pinning — that are expected depending on the system size, a self-consistent homogenization scheme is introduced. It is shown th...

The Gap-Tooth Scheme for Homogenization Problems

An important class of problems exhibits smooth behaviour in space and time on a macroscopic scale, while only a microscopic evolution law is known. For such time-dependent multi-scale problems, an “equationfree framework” has been proposed, of which the gap-tooth scheme is an essential component. The gap-tooth scheme is designed to approximate a time-stepper for an unavailable macroscopic equat...

A Selectable k-Times Relaxed Anonymous Authentication Scheme

Total Mass Estimate for the Nearby Relaxed Cluster a 3571

We constrain the total mass distribution in the cluster A3571, combining spatially resolved ASCA temperature data with ROSAT imaging data with the assumption that the cluster is in hydrostatic equilibrium.