Showing papers by "J. N. Reddy published in 1999"

Theory and analysis of elastic plates

Abstract: Preface 1.General Introduction and Preliminaries 2.Virtual Work Principles and Solution Methods 3.Theory and Analysis of Euler-Bernoulli Beams 4.Theory and Analysis of Timoshenko Beams 5.The Classical Plate Theory 6.The First Order Shear Deformation Theory 7.Variational Solutions of Plates 8.Finite Element Analysis of Beams and Plates 9.Refined Theories of Plates 10.Nonlinear Analysis of Beams and Plates Subject Index

Axisymmetric bending of functionally graded circular and annular plates

Abstract: Axisymmetric bending and stretching of functionally graded solid and annular circular plates is studied using the first-order shear deformation Mindlin plate theory. The solutions for deflections, force and moment resultants of the first-order theory are presented in terms of the corresponding quantities of isotropic plates based on the classical Kirchhoff plate theory. This gives the Mindlin solution of functionally graded circular plates whenever the Kirchhoff solution to the problem is known. Numerical results for displacements and stresses are presented for various percentages of ceramic-metal volume fractions.

Thermoelastic analysis of functionally graded ceramic-metal cylinder

Abstract: The pseudodynamic thermoelastic response of functionally graded ceramic-metal cylinders is studied. This paper presents the finite-element formulation of the 1D, axisymmetric heat transfer equation and the thermoelastic radial boundary value problem. A two-step solution of the governing equations of thermoelasticity is presented. Thermoelastic coupling is considered by taking into effect the temperature dependence of the constitutive equations. Nonlinearity due to the temperature dependence of the material properties of the constituent ceramic and metal is considered. A parametric study with respect to varying volume fraction of the metal is conducted. Temperature and radial/hoop stress distributions arising due to rapid heating of the inner surface of the functionally graded cylinder are presented.

On the dynamic behaviour of the Timoshenko beam finite elements

Abstract: First, various finite element models of the Timoshenko beam theory for static analysis are reviewed, and a novel derivation of the 4 × 4 stiffness matrix (for the pure bending case) of the superconvergent finite element model for static problems is presented using two alternative approaches: (1) assumed-strain finite element model of the conventional Timoshenko beam theory, and (2) assumed-displacement finite element model of a modified Timoshenko beam theory. Next, dynamic versions of various finite element models are discussed. Numerical results for natural frequencies of simply supported beams are presented to evaluate various Timoshenko beam finite elements. It is found that the reduced integration element predicts the natural frequencies accurately, provided a sufficient number of elements is used.

Theory and Analysis of Laminated Composite Plates

Abstract: Composite materials consist of two or more materials which together produce desirable properties that may not be achieved with any of the constituents alone. Fiber-reinforced composite materials, for example, consist of high strength and high modulus fibers in a matrix material. Reinforced steel bars embedded in concrete provide an example of fiber-reinforced composites. In these composites, fibers are the principal loadcarrying members, and the matrix material keeps the fibers together, acts as a load-transfer medium between fibers, and protects fibers from being exposed to the environment (e.g., moisture, humidity, etc.).

Jordan canonical form solution for thermally induced deformations of cross-ply laminated composite beams

Abstract: Thermal deformations in symmetric and antisymmetric cross-ply beams are investigated. The state-space approach in conjunction with the Jordan canonical form is presented to obtain exact solutions for the thermoelastic response of cross-ply composite beams for arbitrary boundary conditions and subjected to general temperature fields. The classical, first-, second-, and third-order beam theories are used in the analysis. As a demonstrative example, deflections are computed for beams with various lamination schemes and boundary conditions undergoing linearly varying temperature through the thickness.

Assumed strain quadrilateral C 0 laminated plate element based on third-order shear deformation theory

Abstract: This paper presents a four-noded quadrilateral CO strain plate element for the analysis of thick laminated composite plates. The element formulation is based on: 1) the third-order shear deformation theory; 2) assumed strain element formulation; and 3) interrelated edge displacements and rotations along element boundaries. Unlike the existing displacement-type composite plate elements based on the third-order theory, which rely on the C-1-continuity formulation, the present plate element is of C-0-continuity, and its element stiffness matrix is evaluated explicitly. Because of the third-order expansion of the in-plane displacements through the thickness, the resulting theory and hence elements do not need shear correction factors. The explicit element stiffness matrix makes the present element more computationally efficient than the composite plate elements using numerical integration for the analysis of thick layered composite plates.