Description

Book Synopsis
A practical introduction to the use of the finite--element method and variational methods to solve engineering problems about beams, bars, torsion, and plane elasticity. Includes a concise section on composite--material laminated plates and shells. Contains numerous examples, exercises, problems, and references.

Table of Contents
A REVIEW OF THE EQUATIONS OF MECHANICS.

Introduction.

Kinetics.

Kinematics.

Thermodynamic Principles.

Constitutive Equations.

Boundary-Value Problems of Mechanics.

Equations of Bars, Beams, Torsion, and Plane Elasticity.

ENERGY AND VARIATIONAL PRINCIPLES.

Preliminary Concepts.

Calculus of Variations.

Virtual Work and Energy Principles.

Stationary Variational Principles.

Hamilton's Principle.

Energy Theorems of Structural Mechanics.

VARIATIONAL METHODS OF APPROXIMATION.

Some Preliminaries.

The Ritz Method.

Weighted-Residual Methods.

The Finite-Element Method.

THEORY AND ANALYSIS OF PLATES AND SHELLS.

Classical Theory of Plates.

Shear Deformation Theories of Plates.

Laminated Composite Plates.

Theory of Shells.

Finite-Element Analysis of Plates and Shells.

Bibliography.

Answers to Selected Exercises.

Index.

Energy and Variational Methods in Applied

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      Book details

      Publisher John Wiley & Sons Inc
      Published 24 October 1984
      ISBN-13 9780471896739
      978-0471896739
      ISBN-10 047189673X

      Description

      Book Synopsis
      A practical introduction to the use of the finite--element method and variational methods to solve engineering problems about beams, bars, torsion, and plane elasticity. Includes a concise section on composite--material laminated plates and shells. Contains numerous examples, exercises, problems, and references.

      Table of Contents
      A REVIEW OF THE EQUATIONS OF MECHANICS.

      Introduction.

      Kinetics.

      Kinematics.

      Thermodynamic Principles.

      Constitutive Equations.

      Boundary-Value Problems of Mechanics.

      Equations of Bars, Beams, Torsion, and Plane Elasticity.

      ENERGY AND VARIATIONAL PRINCIPLES.

      Preliminary Concepts.

      Calculus of Variations.

      Virtual Work and Energy Principles.

      Stationary Variational Principles.

      Hamilton's Principle.

      Energy Theorems of Structural Mechanics.

      VARIATIONAL METHODS OF APPROXIMATION.

      Some Preliminaries.

      The Ritz Method.

      Weighted-Residual Methods.

      The Finite-Element Method.

      THEORY AND ANALYSIS OF PLATES AND SHELLS.

      Classical Theory of Plates.

      Shear Deformation Theories of Plates.

      Laminated Composite Plates.

      Theory of Shells.

      Finite-Element Analysis of Plates and Shells.

      Bibliography.

      Answers to Selected Exercises.

      Index.

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