Homogenization of multicomponent composite orthotropic materials using FEA

Communications in Numerical Methods in EngineeringVolume 13, Issue 7 p. 517-531 Research Article Homogenization of multicomponent composite orthotropic materials using FEA GRANT P. STEVEN, Corresponding Author GRANT P. STEVEN Lawrence Hargrave Professor, Department of Aeronautical Engineering, University of Sydney, NSW 2006, AustraliaLawrence Hargrave Professor, Department of Aeronautical Engineering, University of Sydney, NSW 2006, AustraliaSearch for more papers by this author GRANT P. STEVEN, Corresponding Author GRANT P. STEVEN Lawrence Hargrave Professor, Department of Aeronautical Engineering, University of Sydney, NSW 2006, AustraliaLawrence Hargrave Professor, Department of Aeronautical Engineering, University of Sydney, NSW 2006, AustraliaSearch for more papers by this author First published: 04 December 1998 https://doi.org/10.1002/(SICI)1099-0887(199707)13:7<517::AID-CNM74>3.0.CO;2-LCitations: 15AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat Abstract This paper demonstrates a simple finite element implementation of Lagrange multipliers to model the mechanical behaviour of an orthotropic composite material. The research shows the proper set of kinematic boundary conditions that must be applied in 2D plane stress elasticity to achieve the correct unit strain vectors that, upon interrogation of the associated Lagrange multipliers, give the stresses induced by these strain vectors. From these stresses the terms in the elasticity matrix can be evaluated. As well as demonstrating the correct kinematic conditions required, the paper presents the consequences of applying intuitive but incorrect conditions. © 1997 John Wiley & Sons, Ltd. Citing Literature Volume13, Issue7July 1997Pages 517-531 RelatedInformation