Recent developments in the modeling and behavior of advanced sandwich constructions: a survey

A general overview of some recent developments related with the modeling and stability of sandwich structures is presented in this paper. The survey covers a number of issues related with the geometrically linear and non-linear formulations of curved and flat sandwich constructions featuring laminated anisotropic face sheets, and associated stability problems. Issues related with the enhancement of the load carrying capacity of sandwich panels resulting in the increase of the buckling strength, the reduction of the intensity of a snap-through buckling and even of its removal are also addressed. The provided list of references is not exhaustive, in the sense that it is mainly connected with topics of sandwich constructions in which the first author of this paper has been involved during a good part of his research activity. Moreover, the displayed results illustrating some basic trends concern not only the ones previously obtained by the authors of this survey-paper, but also several others, presented here for the first time.

[1]  Yi-Yuan Yu,et al.  INFLUENCE OF TRANSVERSE SHEAR AND EDGE CONDITION ON NONLINEAR VIBRATION AND DYNAMIC BUCKLING OF HOMOGENEOUS AND SANDWICH PLATES , 1966 .

[2]  J. I. Foss.  FOR THE SPACE AGE. A BIBLIOGRAPHY OF SANDWICH PLATES AND SHELLS , 1962 .

[3]  Liviu Librescu,et al.  Imperfection sensitivity and postbuckling behavior of shear-deformable composite doubly-curved shallow panels , 1992 .

[4]  T. R. Tauchert,et al.  Large-amplitude vibration of graphite-reinforced aluminum cylindrical panels subjected to rapid heating , 1993 .

[5]  Ugo Icardi,et al.  On modeling of global response behavior of sandwich plates with laminated faces , 1996 .

[6]  John Dugundji,et al.  Buckling and Failure of Sandwich Plates with Graphite-Epoxy Faces and Various Cores , 1988 .

[7]  L. M. Habip.  A review of recent russian work on sandwich structures. , 1964 .

[8]  Ibrahim K. Ebcioglu.  Non-linear theories of sandwich shells , 1973 .

[9]  L. Librescu,et al.  Frequency-load interaction of geometrically imperfect curved panels subjected to heating , 1996 .

[10]  Yu. A. Gur'yan,et al.  Parts I and II , 1982 .

[11]  K. Rao,et al.  Buckling analysis of anisotropic sandwich plates faced with fiber-reinforced plastics , 1985 .

[12]  B. H. V. Topping,et al.  Advances in analysis and design of composites , 1996 .

[13]  Charles W Bert.  Recent Research in Composite and Sandwich Plate Dynamics. , 1979 .

[14]  Wang Ying-jiang,et al.  Nonlinear stability analysis of a sandwich shallow cylindrical panel with orthotropic surfaces , 1989 .

[15]  Ibrahim K. Ebcioǧlu.  A general nonlinear theory of sandwich panels , 1989 .

[16]  Zhi-Wei Wang.  THE GEOMETRICALLY NONLINEAR THEORY OF ANISOTROPIC SANDWICH SHELLS FACED WITH LAMINATED COMPOSITES , 1997 .

[17]  Liviu Librescu,et al.  Geometrically Nonlinear Theory of Initially Imperfect Sandwich Curved Panels Incorporating Nonclassical Effects , 1997 .

[18]  I. M. Ibrahim,et al.  Modified stiffness formulation of unbalanced anisotropic sandwich plates , 1977 .

[19]  Charles W. Bert,et al.  Composite Material Mechanics: Structural Mechanics , 1974 .

[20]  Victor Birman,et al.  Analytical models of sandwich plates with piezoelectric strip-stiffeners , 1994 .

[21]  E. Reissner,et al.  Finite Deflections of Sandwich Plates , 1948 .

[22]  L. Librescu,et al.  Vibration of geometrically imperfect panels subjected to thermal and mechanical loads , 1996 .

[23]  Koganti M. Rao,et al.  Analysis of sandwich plates using a hybrid-stress finite element , 1991 .

[24]  Johann Arbocz,et al.  Computerized buckling analysis of shells , 1985 .

[25]  Victor Birman,et al.  Optimum distribution of smart stiffeners in sandwich plates subjected to bending or forced vibrations , 1996 .

[26]  Liviu Librescu,et al.  Non-linear response of geometrically imperfect sandwich curved panels under thermomechanical loading , 1998 .

[27]  Chen Zhen-qiang,et al.  Nonlinear bending of simply supported rectangular sandwich plates , 1993 .

[28]  Liviu Librescu,et al.  Refined geometrically nonlinear theories of anisotropic laminated shells , 1987 .

[29]  C. Hong,et al.  Buckling of unbalanced anisotropic sandwich plates with finite bonding stiffness , 1988 .

[30]  Hans Irschik,et al.  Large thermoelastic deflections and stability of simply supported polygonal panels , 1986 .

[31]  H. G. Allen.  Analysis and design of structural sandwich panels , 1969 .

[32]  Yi‐Yuan Yu,et al.  Nonlinear Flexural Vibrations of Sandwich Plates , 1962 .

[33]  J. Webber,et al.  Buckling of Sandwich Panels with Laminated Face Plates , 1972 .

[34]  P. D. Kelly.  Some viscometric flows of incompressible thermoviscous fluids , 1965 .

[35]  L. M. Habip.  A survey of modern developments in the analysis of sandwich structures. , 1965 .

[36]  Jack R. Vinson,et al.  The Behavior of Shells Composed of Isotropic and Composite Materials , 1992 .

[37]  D. Frederick,et al.  Developments in theoretical and applied mechanics , 1963 .

[38]  Charles Libove,et al.  A general small-deflection theory for flat sandwich plates , 1948 .

[39]  R. E. Fulton,et al.  Non-Linear Equations for a Shallow Unsymmetrical Sandwich Shell of Double Curvature , 1961 .

[40]  J. Mayers,et al.  General instability and face wrinkling of sandwich plates - Unified theory and applications. , 1966 .

[41]  Zhen-Qiang Cheng,et al.  Nonlinear flexural vibration of rectangular moderately thick plates and sandwich plates , 1993 .

[42]  G. A. Wempner.  Theory for Moderately Large Deflections of Thin Sandwich Shells , 1965 .

[43]  L. Librescu,et al.  Postbuckling of Shear Deformable Composite Flat Panels Taking Into Account Geometrical Imperfections , 1990 .

[44]  N J Hoff,et al.  Bending and buckling of rectangular sandwich plates , 1950 .

[45]  Liviu Librescu,et al.  Postbuckling of anisotropic flat and doubly-curved sandwich panels under complex loading conditions , 1998 .

[46]  J. C. Bruch,et al.  Piezoelectric Stiffener-actuators For The Suppression Of The Vibration Of Laminated Composite Beams , 1998 .

[47]  J P H Webber.  Governing Equations for Thick Sandwich Shells with Honeycomb Cores and Laminated Faces , 1974 .

[48]  Liviu Librescu,et al.  Elastostatics and Kinetics of Anisotropic and Heterogeneous Shell-Type Structures , 1975 .

[49]  J. R. Vinson,et al.  Optimum design of composite honeycomb sandwich panels subjected to uniaxial compression , 1986 .

[50]  Liviu Librescu,et al.  Enhancement of the thermomechanical load carrying capacity of advanced sandwich structures , 1998 .

[51]  Liviu Librescu,et al.  Thermomechanical load-carrying capacity of sandwich flat panels , 1998 .

[52]  Robert Schmidt.  Large deflections of multisandwich shells of arbitrary shape , 1969 .

[53]  H.-R. Meyer-Piening,et al.  Buckling analysis of FRP faced cylindrical sandwich panel under combined loading , 1990 .

[54]  Ibrahim K. Ebcioglu.  On the theory of sandwich panels in the reference state , 1965 .

[55]  Ahmed K. Noor,et al.  Computational Models for Sandwich Panels and Shells , 1996 .

[56]  Carlos Alberto Brebbia,et al.  Computational methods for smart structures and materials , 1999 .

[57]  Robert E. Fulton,et al.  Effect of Face-Sheet Stiffness on Buckling of Curved Plates and Cylindrical Shells of Sandwich Construction in Axial Compression , 1965 .

[58]  V Birmani,et al.  Theory and applications of cylindrical sandwich shells with piezoelectric sensors and actuators , 1994 .

[59]  Manuel Stein,et al.  Compressive buckling of simply supported curved plates and cylinders of sandwich construction , 1952 .

[60]  I. M. Ibrahim,et al.  Analysis of sandwich plates with unbalanced cross-ply faces , 1975 .

[61]  A. L. Goldenveizer.  THEORY OF ELASTIC THIN SHELLS , 1962 .

[62]  N. K. Chandiramani,et al.  Postbuckling of laminated flat and curved panels under combined thermal and mechanical loadings , 1993 .

[63]  Gerald Wempner,et al.  General theory of sandwich plates with dissimilar facings , 1965 .

[64]  Victor Birman,et al.  Vibration damping using piezoelectric stiffener-actuators with application to orthotropic plates , 1996 .

[65]  Gerald Wempner.  Theory for moderately large deflections of sandwich shells with dissimilar facings , 1967 .

[66]  William L. Ko,et al.  Compressive and shear buckling analysis of metal matrix composite sandwich panels under different thermal environments , 1993 .

[67]  E. Carrera,et al.  STATIC BUCKLING OF MODERATELY THICK, ANISOTROPIC, LAMINATED AND SANDWICH CYLINDRICAL SHELL PANELS , 1990 .

[68]  Yi-Yuan Yu,et al.  Dynamics and vibration of layered plates and shells - A perspective from sandwiches to laminated composites , 1989 .