Advances in the Theory of Plates and Shells

Advances in the Theory of Plates and Shells

1st Edition - December 14, 1989

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  • Editors: George Voyiadjis, D. Karamanlidis
  • eBook ISBN: 9781483290966

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Plates and shells play an important role in structural, mechanical, aerospace and manufacturing applications. The theory of plates and shells have advanced in the past two decades to handle more complicated problems that were previously beyond reach. In this book, the most recent advances in this area of research are documented. These include topics such as thick plate and shell analyses, finite rotations of shell structures, anisotropic thick plates, dynamic analysis, and laminated composite panels. The book is divided into two parts. In Part I, emphasis is placed on the theoretical aspects of the analysis of plates and shells, while Part II deals with modern applications. Numerous eminent researchers in the various areas of plate and shell analyses have contributed to this work which pays special attention to aspects of research such as theory, dynamic analysis, and composite plates and shells.

Table of Contents

  • Part I. Theoretical Aspects of the Analysis of Plates and Shells. Theory and finite-element formulation for shell structures undergoing finite rotations (Y. Basar, Y. Ding). A refined theory of anisotropic thick plates (S. Igarashi, K. Shibukawa). Generalized theory for bending of thick plates (A.K. Muhammad, M.H. Baluch, A.K. Azad). Postbuckling of long thick plates in compression including higher order transverse shearing effects (M. Stein, P.D. Sydow, L. Librescu). Bending of thick plates on an elastic foundation (G.Z. Voyiadjis, P.I. Kattan). Higher-order constitutive equations of thick cylindrical shells (G.Z. Voyiadjis, G. Shi). Boundary layers and Saint-Venant's principle for slender and thin elastic bodies (F.Y.M. Wan). II. Applications of the Theory of Plates and Shells. Dynamic analysis of plates and shallow shells by the D/BEM (D.E. Beskos). Nonlinear analysis of imperfect cylindrical angle-ply panels (C.-Y. Chia). Nonlinear local-global static analysis of shells of revolution (P.L. Gould, H. Harintho). Recent studies on buckling, vibration and static response of anisotropic shear-flexible plates (D. Karamanlidis, H. Awal, R. Foerch, V. Prakash). The effects of time-dependent excitation on the oscillatory motion of viscously damped laminated composite flat panels (A. Nosier, L. Librescu, D. Frederick). Effect of soil-structure interaction on the vibrations of stretched circular plates (B.A. Ovunc). The internal loading of a fibre reinforced composite plate (A.P.S. Selvadurai, N. Moutafis). References.

Product details

  • Language: English
  • Copyright: © North Holland 1989
  • Published: December 14, 1989
  • Imprint: North Holland
  • eBook ISBN: 9781483290966

About the Editors

George Voyiadjis

Dr. Voyiadjis is a Member of the European Academy of Sciences, and Foreign Member of both the Polish Academy of Sciences, and the National Academy of Engineering of Korea. George Z. Voyiadjis is the Boyd Professor at the Louisiana State University, in the Department of Civil and Environmental Engineering. This is the highest professorial rank awarded by the Louisiana State University System. He is also the holder of the Freeport-MacMoRan Endowed Chair in Engineering. He joined the faculty of Louisiana State University in 1980. He is currently the Chair of the Department of Civil and Environmental Engineering. He holds this position since February of 2001. He also served from 1992 to 1994 as the Acting Associate Dean of the Graduate School. He currently also serves since 2012 as the Director of the Louisiana State University Center for GeoInformatics (LSU C4G; ). Voyiadjis’ primary research interest is in plasticity and damage mechanics of metals, metal matrix composites, polymers and ceramics with emphasis on the theoretical modeling, numerical simulation of material behavior, and experimental correlation. Research activities of particular interest encompass macro-mechanical and micro-mechanical constitutive modeling, experimental procedures for quantification of crack densities, inelastic behavior, thermal effects, interfaces, damage, failure, fracture, impact, and numerical modeling. Dr. Voyiadjis’ research has been performed on developing numerical models that aim at simulating the damage and dynamic failure response of advanced engineering materials and structures under high-speed impact loading conditions. This work will guide the development of design criteria and fabrication processes of high performance materials and structures under severe loading conditions. Emphasis is placed on survivability area that aims to develop and field a contingency armor that is thin and lightweight, but with a very high level of an overpressure protection system that provides low penetration depths. The formation of cracks and voids in the adiabatic shear bands, which are the precursors to fracture, are mainly investigated. He has two patents, over 332 refereed journal articles and 19 books (11 as editor) to his credit. He gave over 400 presentations as plenary, keynote and invited speaker as well as other talks. Over sixty two graduate students (37 Ph. D.) completed their degrees under his direction. He has also supervised numerous postdoctoral associates. Voyiadjis has been extremely successful in securing more than $30.0 million in research funds as a principal investigator/investigator from the National Science Foundation, the Department of Defense, the Air Force Office of Scientific Research, the Department of Transportation, National Oceanic and Atmospheric Administration (NOAA), and major companies such as IBM and Martin Marietta.

Affiliations and Expertise

Boyd Professor, Department of Civil and Environmental Engineering, Louisiana State University

D. Karamanlidis

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