Energy and Variational Methods in Applied MechanicsISBN: 978-0-471-89673-9
Hardcover
560 pages
January 1991
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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.
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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