TRENDS IN ENGINEERING PLATE THEORIES

The paper summerises some basic trends in modelling and analysis of refined plate theories not primary from a mathematical aspect but from the viewpoint of engineering application and of an increasing reliability of engineering structure analysis. Shear rigid and shear deformable plate models including shear correction factors or kinematical warping effects can be formulated. An extended two-dimensional theory for transverse shear stress analysis yields improved results, the influence of singularities on the global structure behaviour must be considered and the kinematical degree of freedom of plate models is an important criterion in structural analysis of folded plate structures. Composite materials have become an increasing importance in engineering structures. Multilayered, laminated and sandwich plates are used in aerospace and many other industries. Thin-walled structures composed of composite material have generally a moderate thickness and low transverse stiffness. An adequate modelling of structural plate elements should be given by refined plate theories.

[1]  Norman F. Knight,et al.  A refined first-order shear-deformation theory and its justification by plane strain bending problem of laminated plates , 1996 .

[2]  Vladimír Panc,et al.  Theories of elastic plates , 1975 .

[3]  Raimund Rolfes,et al.  Higher-order theories for thermal stresses in layered plates , 2001 .

[4]  M. Williams,et al.  Stress Singularities Resulting From Various Boundary Conditions in Angular Corners of Plates in Extension , 1952 .

[5]  H. Saunders,et al.  Literature Review : Books: THEORY AND ANALYSIS OF PLATES -- C LASSICA L AND NUMERICAL METHODS Rudolph Szilard Prentice Hall, Inc., Englewood Cliffs, N.J. (1974) , 1974 .

[6]  David A. Dillard,et al.  On the problem of shear-locking in finite elements based on shear deformable plate theory , 1997 .

[7]  Norman F. Knight,et al.  Restatement of first-order shear-deformation theory for laminated plates , 1997 .

[8]  K. Rohwer,et al.  Application of higher order theories to the bending analysis of layered composite plates , 1992 .

[9]  Arthur W. Leissa.  Singularity considerations in membrane, plate and shell behaviors , 2001 .

[10]  Holm Altenbach.  On the determination of transverse shear stiffnesses of orthotropic plates , 2000 .

[11]  Raimund Rolfes,et al.  Efficient linear transverse normal stress analysis of layered composite plates , 1998 .

[12]  Holm Altenbach,et al.  Closed and approximate analytical solutions for rectangular Mindlin plates , 2001 .

[13]  Holm Altenbach,et al.  Modelling and analysis of multilayered shells based on a timoshenko-type theory with six degrees of freedom , 1994 .

[14]  Holm Altenbach,et al.  Theories for laminated and sandwich plates , 1998 .

[15]  S. Vel,et al.  Analytical Solution for Rectangular Thick Laminated Plates Subjected to Arbitrary Boundary Conditions , 1999 .

[16]  Hidenori Murakami,et al.  Laminated Composite Plate Theory With Improved In-Plane Responses , 1986 .

[17]  J. Reddy.  An evaluation of equivalent-single-layer and layerwise theories of composite laminates , 1993 .

[18]  Holm Altenbach,et al.  A consistent deduction of von Kármán-type plate theories from three-dimensional nonlinear continuum mechanics , 2001 .

[19]  Raimund Rolfes,et al.  Improved transverse shear stresses in composite finite elements based on first order shear deformation theory , 1997 .

[20]  Yan Jin,et al.  Bending Analysis of Mindlin Plates by Extended Kantorovich Method , 1998 .

[21]  J. N. Reddy,et al.  A refined nonlinear theory of plates with transverse shear deformation , 1984 .

[22]  Konstantin Naumenko,et al.  Analysis of rectangular thin plates and plate structures basing on the Vlasov's variational procedure , 1998 .