Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 46, Issue 21, Pages 3902-3913Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2009.07.015
Keywords
Multilayered pressurized tube; Homogenization; Dissimilar elastoplastic materials; Induced anisotropy
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In this paper we present the homogenization of a periodic multilayered pressurized tube made of very dissimilar elastoplastic materials. We focus on some aspects of technological importance, such as the effective properties, the behavior of the homogenized displacements and stresses, the discontinuities of hoop and longitudinal stresses, the homogenization-induced anisotropy. We conclude that the problem needs to be reformulated in order to be stable by homogenization and we define the effective elastic and incremental stress corrector matrices for the incremental stress-total strain matrix law. Finally. we present the numerical simulation for both the non-homogeneous and the homogenized material and two numerical examples confirming the theoretical results. (C) 2009 Elsevier Ltd. All rights reserved.
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