A Renormalization Group Procedure for Fiber Bundle Models

Frontiers in Physics

Pradhan, Srutarshi¹  Hansen, Alex¹  Ray, Purusattam² 

[1] PoreLab, Department of Physics, Norwegian University of Science and Technology, Norway;The Institute of Mathematical Sciences, CIT Campus, India

关键词: fiber bundle model;    Renormalization Group;    order space;    Real space;    Damage mechanics;    order statistics;    numerical simulation;   

DOI  :  10.3389/fphy.2018.00065

学科分类：物理（综合）

来源: Frontiers

【 摘 要 】

We introduce two versions of a renormalization group scheme for the equal load sharing fiber bundle model. The renormalization group is based on formulating the fiber bundle model in the language of damage mechanics. A central concept is the work performed on the fiber bundle to produce a given damage. The renormalization group conserves this work. In the first version of the renormalization group, we take advantage of ordering the strength of the individual fibers. This procedure, which is the simpler one, cannot be generalized to other fiber bundle models such as the local load sharing one. The second renormalization group scheme based on the physical location of the individual fibers may be generalized to other fiber bundle models.

【 授权许可】

CC BY