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Fatigue life prediction using 2‐scale temporal asymptotic homogenization
Author(s) -
Oskay Caglar,
Fish Jacob
Publication year - 2004
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.1069
Subject(s) - homogenization (climate) , boundary value problem , scale (ratio) , asymptotic homogenization , life span , computer science , mathematics , structural engineering , engineering , finite element method , mathematical analysis , physics , biodiversity , ecology , quantum mechanics , biology , gerontology , medicine
In this manuscript, fatigue of structures is modelled as a multiscale phenomenon in time domain. Multiple temporal scales are introduced due to the fact that the load period is orders of magnitude smaller than the useful life span of a structural component. The problem of fatigue life prediction is studied within the framework of mathematical homogenization with two temporal co‐ordinates. By this approach the original initial boundary value problem is decomposed into coupled micro‐chronological (fast time‐scale) and macro‐chronological (slow time‐scale) problems. The life prediction methodology has been implemented in ABAQUS and validated against direct cycle‐by‐cycle simulations. Copyright © 2004 John Wiley & Sons, Ltd.