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A new approach to plate theory based on through‐thickness homogenization
Author(s) -
Guiamatsia I.
Publication year - 2010
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.2934
Subject(s) - homogenization (climate) , plate theory , superposition principle , a priori and a posteriori , mathematics , displacement (psychology) , mathematical analysis , bending of plates , structural engineering , boundary value problem , engineering , biodiversity , ecology , philosophy , psychology , epistemology , bending , psychotherapist , biology
A new approach to linear plate theory for layered structures is introduced. The new theory distances itself from the classical strategy where through the thickness displacement functions are assumed a priori . Instead, the homogenization is based on a single assumption that the plate response is a superposition of fundamental states. An equivalent single‐layer (ESL) formulation is presented, which, for the first time, allows accurate three‐dimensional stress and strain fields to be recovered through a postprocessing strategy that is consistent with the theory's assumptions. Copyright © 2010 John Wiley & Sons, Ltd.
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