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Esben Byskov

Elementary Continuum Mechanics for Everyone


With Applications to Structural Mechanics
2015. XXX, 593 S. 235 mm
Verlag/Jahr: SPRINGER NETHERLANDS 2015
ISBN: 9400795580 (9400795580)
Neue ISBN: 978-9400795587 (9789400795587)

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Opening with a derivation of kinematically nonlinear 3-D continuum mechanics for solids, this book uses virtual work to derive the simpler, kinematically linear 3-D theory and to offer a foundation for consistent theories of kinematic nonlinearity and linearity.
The book opens with a derivation of kinematically nonlinear 3-D continuum mechanics for solids.

Then the principle of virtual work is utilized to derive the simpler, kinematically linear 3-D theory and to provide the foundation for developing consistent theories of kinematic nonlinearity and linearity for specialized continua, such as beams and plates, and finite element methods for these structures.

A formulation in terms of the versatile Budiansky-Hutchinson notation is used as basis for the theories for these structures and structural elements, as well as for an in-depth treatment of structural instability.
Preface

Introduction

I Continuum Mechanics

II Specialized Continua

III Beams with Cross-Sections and Plates with Thickness

IV Buckling

V Introduction to the Finite Element Method

VI Mathematical Preliminaries

Index
From the book reviews:
"This book provides an introduction to continuum mechanics with applications of engineering interest. Engineering students are potential readers. The presentation is organized into six parts." (Raffaele Barretta, Mathematical Reviews, April, 2014)