Mechanics of Solids and Shells: Theories and Approximations, 1st Edition (Hardback) book cover

Mechanics of Solids and Shells

Theories and Approximations, 1st Edition

By Gerald Wempner, Demosthenes Talaslidis

CRC Press

552 pages

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Description

As the theories and methods have evolved over the years, the mechanics of solid bodies has become unduly fragmented. Most books focus on specific aspects, such as the theories of elasticity or plasticity, the theories of shells, or the mechanics of materials. While a narrow focus serves immediate purposes, much is achieved by establishing the common foundations and providing a unified perspective of the discipline as a whole.

Mechanics of Solids and Shells accomplishes these objectives. By emphasizing the underlying assumptions and the approximations that lead to the mathematical formulations, it offers a practical, unified presentation of the foundations of the mechanics of solids, the behavior of deformable bodies and thin shells, and the properties of finite elements. The initial chapters present the fundamental kinematics, dynamics, energetics, and behavior of materials that build the foundation for all of the subsequent developments. These are presented in full generality without the usual restrictions on the deformation. The general principles of work and energy form the basis for the consistent theories of shells and the approximations by finite elements. The final chapter views the latter as a means of approximation and builds a bridge between the mechanics of the continuum and the discrete assembly.

Expressly written for engineers, Mechanics of Solids and Shells forms a reliable source for the tools of analysis and approximation. Its constructive presentation clearly reveals the origins, assumptions, and limitations of the methods described and provides a firm, practical basis for the use of those methods.

Table of Contents

Introduction. Vectors, Tensors, and Curvilinear Coordinates. Deformation. Stress. Behavior of Materials. Principles of Work and Energy. Linear Theories of Isotropic Elasticity and Viscoelasticity. Differential Geometry of a Surface. Theory of Shells. Theories under the Kirchhoff-Love Constraint. Concepts of Approximation. References.

About the Authors

Wempner, Gerald; Talaslidis, Demosthenes

About the Series

Mechanical and Aerospace Engineering Series

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Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT003000
MATHEMATICS / Applied
SCI041000
SCIENCE / Mechanics / General