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Partial hybrid stress element for transient analysis of thick laminated composite plates
Author(s) -
Jing HungSying,
Liao MingLiang
Publication year - 1990
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.1620290811
Subject(s) - stress (linguistics) , finite element method , structural engineering , stress field , transient (computer programming) , transverse plane , composite number , shear stress , mass matrix , matrix (chemical analysis) , transverse shear , materials science , mechanics , mathematical analysis , engineering , mathematics , physics , composite material , computer science , philosophy , linguistics , neutrino , nuclear physics , operating system
The variationally consistent partial hybrid stress element proposed by the authors is extended to transient analysis of thick laminated composite plates in this paper. Through dividing six stress components into flexural (σ x , σ y , τ xy , σ z ) and transverse shear (τ xz , τ yz ) parts, the corresponding dynamic version of the modified Hellinger–Reissner principle is presented. By assuming stress parameters for transverse shear only, the partial hybrid stress element can be used to solve transient problems without any contradiction. The mass matrix derived is a simply consistent mass regardless of the assumed stress field. Comparisons are made with results available in the literature. Through thickness variations of all the six stress components for a dynamic version of Pagano's example are also presented for the first time. These results can serve as a reference source for future comparisons.