improved transverse shear deformation theory for laminated anisotropic plates

by M. V. V Murthy

Publisher: National Aeronautics and Space Administration, Scientific and Technical Information Branch, Publisher: For sale by the National Technical Information Service] in Washington, D.C, [Springfield, Va

Written in English
Published: Pages: 36 Downloads: 411
Share This

Subjects:

  • Deformations (Mechanics),
  • Laminated materials,
  • Strains and stresses

Edition Notes

StatementM.V.M. Murthy
SeriesNASA technical paper -- 1903
ContributionsLangley Research Center, United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch
The Physical Object
Pagination36 p. :
Number of Pages36
ID Numbers
Open LibraryOL14932993M

A new theory for laminated composite plates. M Karama, K S Afaq, and S Mistou Murthy, M V V ‘An improved transverse shear deformation theory for laminated anisotropic plates’ (): NASA Technical Paper, N J ‘Shear deformation in hetrogeneous anisotropic plates Cited by: The effects of boundary conditions and lamination arrangements (i.e. stacking sequence and orientation of a lamina) were found to be important factors in deter. to the deformed midsurface of the composite laminate, the First-Order Shear Deformation Laminated Plate Theory (FSDT) was developed.2 In FSDT, transverse shear strains are represented as constant through the laminate thickness and shear correction factors are used to model the transverse shear : Lin-Fa Zhu, Soo Kim, Aditi Chattopadhyay, Robert K. Goldberg. cal laminate theory ~CLT!, @3,4#, is an extension of the classical plate theory based on Kirchhoff-Love assumptions, i.e., it neglects the shear deformation in the thickness of the laminate. The first-order shear deformation theory ~FSDT! is an extension of the Reissner, @5#, and Mindlin, @6#, plate models to the case of lami-nated anisotropic.

  Meshless Analysis of Functionally Graded Plate with Different Algebraic Shear Deformation Theories (IJIRST/ Volume 2 / Issue 08 / ) Table-4 .   A sixth-order beam theory is desirable since the displacement constraints of some typical shear flexible beams clearly indicate that the boundary conditions corresponding to these constraints can be properly satisfied only by the boundary conditions associated with the sixth-order differential equilibrium equations as opposed to the fourth Cited by: theory including transverse shear deformation, ASME J. Appl. Mech. 39, Rolefs R and Rohwer K (), Improved transverse shear stresses in composite finite elements based on first order shear deformation theory, Int. J. Num. Meth. Engg. 70, Murthy, M. V. [] “An improved transverse shear deformation theory for laminated anisotropic plates,” NASA Technical Paper, Google Scholar; Naghdabadi, R. and Kordkheili, S. A. H. [] “ A finite element formulation for analysis of functionally graded plates and shells,” Archive & Applied Mechan –Cited by:

oped an orthotropic laminated plate theory based on classical plate assumptions [S]. A first order shear deformation theory for laminated anisotropic plates was presented by Yang ef al. [6]. Finally, higher order shear deformation theories for laminated composite plates . @article{osti_, title = {Lamb-wave propagation in laminated composite plates}, author = {Tang, B S.L.}, abstractNote = {Various approximate theories have been proposed to model low-frequency Lamb-wave propagation in composite laminates. In this study, an approximate solution was derived from an elementary shear-deformation plate theory. Based on the new simple third-order shear deformation theory, the deflections and stresses of the simply surported symmetrical laminated composite plates are obtained by using the principle of virtual solutions are compared with the solutions of three-dimensional elasticity theory, the first-order shear deformation theory and the Reddy’s higher order shear deformation by: 2. Find many great new & used options and get the best deals for The Behavior of Sandwich Structures of Isotropic and Composite Materials by Jack R. Vinson (, Hardcover) at the best online prices at eBay! Free shipping for many products!

improved transverse shear deformation theory for laminated anisotropic plates by M. V. V Murthy Download PDF EPUB FB2

An improved transverse shear deformation theory for laminated anisotropic plates under bending is presented. The theory eliminates the need for an arbi­ trarily chosen shear correction factor. For a general laminate with coupled bending and stretching, the.

An improved transverse shear deformation theory for laminated anisotropic plates under bending is presented. The theory eliminates the need for an arbitrarily chosen shear correction factor.

For a general laminate with coupled bending and stretching, the constitutive equations connecting resultants with average displacements and rotations are derived. An improved transverse shear deformation theory for laminated anisotropic plates under bending is presented.

The theory eliminates the need for an arbitrarily chosen shear correction factor. For a general laminate with coupled bending and stretching, the constitutive equations connecting resultants with average displacements and rotations are by: 4.

Transverse shear in laminated plate theories. Transverse shear stiffness of laminated anisotropic shells. Computer Methods in Applied Mechanics and Engineering, Vol.

13, No. Recommended. An improved shear deformation theory for laminated shells addressing transverse stress by: An improved transverse shear deformation theory for laminated anisotropic plates under bending is presented. The theory eliminates the need for an arbitrarily chosen shear correction factor.

For a general laminate with coupled bending and stretching, the constitutive equations connecting resultants with average displacements and rotations are Author: M.

Murthy. Plate Theory Elastic Plate Anisotropic Plate Transverse Shear Deformation Refined Theory These keywords were added by machine and not by the authors.

This process is experimental and the keywords may be updated as the learning algorithm by: In the present study, a new higher order shear deformable laminated composite plate theory is proposed. It is constructed from 3-D elasticity bending solutions by using an inverse method.

Present theory exactly satisfies stress boundary conditions on the top and the bottom of the by: Soldatos, K. [] “ A transverse shear deformation theory for homogeneous monoclinic plates,” Acta Mechanica 94(3/4), – Crossref, ISI, Google Scholar; Soldatos, K.

and Elishakoff, I. [] “ A transverse shear and normal deformable orthotropic beam theory,” Journal of Sound and Vibration (3), –Cited by:   A bending theory which includes transverse shear deformations is presented for laminated plates. Closed form solutions are obtained for bending deflections, flexural vibration frequencies, and buckling loads of simply-supported rectangular plates of special by: A new higher order shear deformation theory for sandwich and composite laminated plates Composites Part B: Engineering, Vol.

43, No. 3 A new trigonometric layerwise shear deformation theory for the finite element analysis of laminated composite and sandwich platesCited by: Get this from a library. An improved transverse shear deformation theory for laminated anisotropic plates.

[M V V Murthy; Langley Research Center.; United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch.]. An Improved Shear-Deformation Theory for Moderately Thick Multilayered Anisotropic Shells and Plates M.

Di Sciuva. Di Sciuva. The general linear equations governing the motion of moderately thick multilayered anisotropic shells are derived by making use of the principle of virtual work in conjunction with an a priori assumed displacement Cited by:   A review of displacement and stress based refined theories for isotropic and anisotropic laminated plates is presented.

A Review of Refined Shear Deformation Theories of Isotropic and Anisotropic Laminated Plates. “An Improved Transverse Shear Deformation Theory for Laminated Anisotropic plates,” NASA Tech.

Paperpp. 1 Cited by: The present theory for symmetric laminated composites is obtained by superimposing a cubic varying displacement field on a zigzag linearly varying displacement satisfies transverse shear stress continuity conditions at the interface between layers as well as shear free surface condi- by: M.

Murthy, An improved transverse shear deformation theory for laminated anisotropic plate, NASA TP4. Levinson, An accurate simple theory of the statics and dynamics of elastic plates, Mechanics Research Communications, 7 (), pp. Cited by:   A general two-dimensional theory suitable for the static and/or dynamic analysis of a transverse shear deformable plate, constructed of a homogeneous, monoclinic, linearly elastic material and subjected to any type of shear tractions at its lateral planes, is presented.

Developed on the basis of Hamilton's principle, in conjunction with the method of Lagrange multipliers, this new theory Cited by:   A Review of Refined Shear Deformation Theories for Isotropic and Anisotropic Laminated Beams Article (PDF Available) in Journal of Reinforced Plastics and Composites 20(3) February   These were calculated using the shell code FASOR, which includes the effect of transverse shear deformation.

For simply-supported orthotropic laminates with midplane symmetry normal buckling loads are verified by a closed-form solution derived from transverse shear deformation plate by: Abstract.

A theory for bending of laminated plates has been developed. This is a new high-order theory that is different from the classic high-order theory in two respects: (1) both the stresses and displacements between layers of the plate are continuous in this theory; (2) the governing equations as well as the unknown functions in this theory are five in number : Cai Si-Wei, Cai Min.

Murthy, M. V.,“An Improved Transverse Shear Deformation Theory for Laminated Anisotropic Plates,” NASA technical Paperpp. 1–Cited by:   Refined shear deformation theory of laminated shells.

vibration and buckling analysis of laminated plates, according to Murakami’s zig-zag theory. Composite Structures, Vol. 93, No. 7 An improved shear deformation theory for laminated shells addressing transverse Cited by: In the present study, a finite strip method for the elastic analysis of anisotropic laminated composite plates is developed according to higher-order shear deformation theory.

This theory accounts for the parabolic distribution of the transverse shear strains through the thickness of the plate and for zero transverse shear stresses on the plate by: Failure analysis of laminated composite skew laminates subjected to transverse loads is presented by developing a C0 finite element (FE) model based on higher order shear deformation theory (HSDT).

In a recent paper, the author has developed the equations governing the elastodynamic behaviour of moderately thick multilayered anisotropic plates by making use of a displacement field which allows a non-linear variation of the inplane displacements through the laminate thickness and fulfils a priori the static and geometric continuity conditions.

In the present paper, the author specializes those results by developing a third-order shear deformation plate model Cited by: Improved strain energy expression of the conventional Reissner/Mindlin first-order shear deformation theory (FSDT) through strain energy transformation is derived in the Laplace domain by minimizing the strain energy difference between FSDT and an efficient higher-order zigzag theory (EHOPT).Cited by: 7.

A major basic text on the theory and structural applications of laminated anisotropic plates. Detailed coverage of problems of bending under transverse load, stability, and free-vibrations, as well as laminated beams, expansional strain effects, curved plates, and free-edge effects.

In the present study, a new higher order shear deformable laminated composite plate theory is proposed. It is constructed from 3-D elasticity bending solutions by using an inverse : Metin Aydogdu.

Abstract. An initial flexural failure analysis for symmetric cross-ply laminated simply supported rectangular plates is described. The analysis is based on a simple higher-order shear deformation plate theory (HSDT) and simple lamina and interlaminar shear failure by: 9.

A penalty plate-bending element for the analysis of laminated anisotropic composite plates International Journal for Numerical Methods in Engineering, Vol. 15, No. 8 Free vibration of antisymmetric, angle-ply laminated plates including transverse shear deformation by Cited by:   This paper studies how to improve the third-order shear deformation theories of isotropic plates, which is a question raised by late Reissner in (ASME Appl.

Mech. Rev., 38, pp–).It is demonstrated in this paper that a proper displacement field with the higher-order shear deformations given by the method of displacement assumption should satisfy the constraint on Cited by: 7.

Abstract. The theory of Reissner for homogeneous isotropic plates is generalized to composite laminates. Based on stress and displacement hypotheses, this extension is intended primarily to establish a global constitutive law including transverse shear : R.

Girard. Geometrically Nonlinear First Order Shear Deformation Theory for General Anisotropic Shells. Alberto Pirrera and ; Paul Weaver.Improved higher order shear deformation theory The ultimate strength analysis of laminated composite sandwich plates is presented via ultimate failure load laminated anisotropic plate.