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A staggered nonlocal multiscale model for a heterogeneous medium
Author(s) -
Fish Jacob,
Jiang Tao,
Yuan Zheng
Publication year - 2012
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.4259
Subject(s) - quantum nonlocality , convergence (economics) , finite element method , overhead (engineering) , computer science , statistical physics , mathematics , phase (matter) , point (geometry) , mathematical optimization , physics , geometry , quantum , quantum mechanics , quantum entanglement , economics , thermodynamics , economic growth , operating system
SUMMARY A staggered nonlocal multiscale model for a heterogeneous medium is developed and validated. The model is termed as staggered nonlocal in the sense that it employs current information for the point under consideration and past information from its local neighborhood. For heterogeneous materials, the concept of phase nonlocality is introduced by which nonlocal phase eigenstrains are computed using different nonlocal phase kernels. The staggered nonlocal multiscale model has been found to be insensitive to finite element mesh size and load increment size. Furthermore, the computational overhead in dealing with nonlocal information is mitigated by superior convergence of the Newton method. Copyright © 2012 John Wiley & Sons, Ltd.