Mechanics Today - 1st Edition - ISBN: 9780080242491, 9781483189017

Mechanics Today

1st Edition

Pergamon Mechanics Today Series

Editors: S. Nemat-Nasser
eBook ISBN: 9781483189017
Imprint: Pergamon
Published Date: 1st January 1980
Page Count: 588
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Mechanics Today, Volume 5 contains some of the papers presented at a symposium to honor Eric Reissner, held at the University of California in San Diego, on June 23, 1978, under the sponsorship of the Office of Naval Research. The symposium provided a forum for discussing various topics related to mechanics, from the pseudo-elasticity of living tissues and compression of spherical cells to kinematically unstable space frameworks. Reissner's equations for sandwich plates are also considered.

Comprised of 36 chapters, this volume begins with an analysis of the state of stress near the boundary of a thick plate by means of "end solutions" obtained from Reissner's sheaf deformation plate theory. A deformable primary reflecting surface composed of an array of relatively small diameter circular elements is then described. The discussion then turns to the "Taylor instability" of the surface of an elastic-plastic plate; free vibration spectrum structure of a shell of revolution; and the momentum-balance method in earthquake engineering. Subsequent chapters focus on the intrinsic equations of shell theory with some applications; stress analysis in plasticity; density-wave theory of the spiral structure of galaxies; and a mixture theory for wave propagation in anisotropic angle-ply laminates.

This book will be of interest to engineers and physicists.

Table of Contents




Contents of Volume 1

Contents of Volume 2

Contents of Volume 3

Contents of Volume 4

I On the "End Problem" for Thick Rectangular Plates

II Aiming an Electromagnetic Beam by Bending the Segments of a Large Reflecting Surface: A Parameter Study

III "Taylor Instability" of the Surface of an Elastic-Plastic Plate

IV On Pseudo-Elasticity of Living Tissues

V Free Vibration Spectrum Structure of a Shell of Revolution

VI Applicability of Floquet-Type Solutions to Bounded Layered Composites George Herrmann

VII Kinematically Unstable Space Frameworks

VIII The Momentum-Balance Method in Earthquake Engineering

IX An Elastic Porous Molecule Model for the Molecular Dynamics of Polymer Liquids

X The Intrinsic Equations of Shell Theory with Some Applications

XI Self-Consistent Scheme in Random Media Elasticity—Exact or Only Approximate?

XII Compression of Spherical Cells

XIII Progress and Prospects of Stress Analysis in Plasticity

XIV Stability Analysis of Nonconservative Systems Via Energy Considerations

XV A Non-Gradient Theory for Premixed Turbulent Flames

XVI Density-Wave Theory of Spiral Structure of Galaxies

XVII On a Singular Perturbation Problem Arising in Chemical Separation Studies Pauline Mann-Nachbar

XVIII Sturm-Liouville Inverse Eigenvalue Problems

XIX The Second Painlevé Transcendent: A Nonlinear Airy Function

XX On Reissner's Equations for Sandwich Plates

XXI A Mixture Theory for Wave Propagation in Anisotropic Angle-Ply Laminates

XXII On Edge-Zone Solutions and Error Bounds in the Asymptotic Theory of Shells

XXIII Variational Methods for Eigenvalue Problems with Discontinuous Coefficients

XXIV Reissner's Principle in Finite Element Formulations

XXV Crack Paths in Sheets Reinforced with Two Families of Inextensible Fibers

XXVI Some Reflections on Material Stability

XXVII The Cylindrical Shell Loaded by a Concentrated Normal

XXVIII The Role of Experimentation in Shell Research (Mirabile Dictu—Mirabile Visu)

XXIX An Improved Approximate Theory for the Bending of Laminated Plates Paul Seide

XXX On Uniqueness for the Traction Boundary-Value Problem of Linear Elastostatics

XXXI Six Different Stress Functions for Membranes of Revolution

XXXII Asymptotic Solutions Without Special Functions for Steep and Shallow Shells

XXXIII The Dimpling of Spherical Caps

XXXIV A Note on the Principle of Stationary Complementary Energy in Nonlinear Elasticity

XXXV On Axisymmetric Deformations of Nonlinear Elastic Membranes

XXXVI An Asymptotic Analysis of the Layered Tube

List of Publications of Eric Reissner


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About the Editor

S. Nemat-Nasser

Affiliations and Expertise

La Jolla, CA, USA

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