Stressed Composite Structures Homogenized Models for Thin-Walled Nonhomogeneous Structures with Initial Stresses

Stressed Composite Structures Homogenized Models for Thin-Walled Nonhomogeneous Structures with Initial Stresses / by A.G. Kolpakov.

The basic concepts of traditional mechanics of stressed structures are suitable for classical uniform structures made of homogeneous materials but not for complex structures such as a network plate or structures made of composite materials. In this book a new approach to stressed inhomogeneous struc...

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Bibliographic Details
Main Author: Kolpakov, A.G (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004.
Edition:1st ed. 2004.
Series:Foundations of Engineering Mechanics,
Springer eBook Collection.
Subjects:
Mechanics.
Mechanics, Applied.
Mechanical engineering.
Buildings—Design and construction.
Building.
Construction.
Engineering, Architectural.
Engineering.
Applied mathematics.
Engineering mathematics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1. Introduction in the Homogenization Method as Applied to Stressed Composite Materials
  • 1.1. Linear Model of a Stressed Elastic Body
  • 1.2. Homogenization Method in the Mechanics of Composites. The Basic Approaches
  • 1.3. Homogenization Method in the Mechanics of Stressed Composites
  • 2. Stressed Composite Plates and Membranes
  • 2.1. Stressed Plates (2-D Model)
  • 2.2. Stressed Plates (Transition from 3-D to 2-D Model, In-Plane Initial 27 Stresses)
  • 2.3. Stressed Plates (Transition from 3-D to 2-D Model, Moments of Initial Stresses)
  • 2.4. 2-D Boundary Conditions Derived from the 3-D Boundary Problem
  • 2.5. 3-D and 2-D “Energy Forms” for a Stressed Plate and a Stability Criterion for a Plate
  • 2.6. Membrane (2-D model)
  • 2.7. Membrane (Transition from 3-D to 2-D Model)
  • 2.8. Plates with no Initial Stresses. Computing of Resultant Initial Stresses
  • 3. Stressed Composite Beams, Rods and Strings
  • 3.1. Stressed Beam (1-D model)
  • 3.2. Stressed Beams (Transition from 3-D to 1-D Model, Initial Axial Stresses)
  • 3.3. Stressed Beams (Transition from 3-D to 1-D Model, Moments of Initial Stresses)
  • 3.4. 1-D boundary Conditions Derived from 3-D Elasticity Problem
  • 3.5. 3-D and 1-D “Energy Forms” for a Stressed Beam and a Stability Criterion for a Beam
  • 3.6. Strings (1-D Model)
  • 3.7. Strings (Transition from a 3-D to a 1-D Model)
  • 3.8. Beams with no initial stresses. Computing of resultant initial stresses and moments
  • 4. Calculation and Estimation of Homogenized Stiffnesses of Plate-Like and Beam-Like Composite Structures
  • 4.1. Variational Principles for Stiffnesses of Nonhomogeneous Plates
  • 4.2. Variational Principles for Stiffnesses of Nonhomogeneous Beams
  • 4.3. The Homogenization Method Modified for Lattice Plats
  • 4.4. The Homogenization Method Modified for Lattice Beams
  • 4.5. Review of Software Suitable for Homogenization Procedures
  • Appendix A. Plates and Beams in Different Coordinate Systems
  • A1. Homogenized Stiffnesses of a Plate in Different Coordinate Systems
  • A2. Homogenized Stiffnesses of a Beam in Different Coordinate Systems
  • Appendix B. Critical Loads for Some Composite Plates
  • References.

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