Elasticity of Transversely Isotropic Materials by Haojiang DingElasticity of Transversely Isotropic Materials by Haojiang Ding

Elasticity of Transversely Isotropic Materials

byHaojiang Ding

Paperback | November 18, 2010

Pricing and Purchase Info

$299.35 online 
$323.95 list price save 7%
Earn 1497 plum® points
Quantity:

In stock online

Ships free on orders over $25

Not available in stores

about

This book presents a comprehensive and systematic analysis of problems of transversely isotropic materials that have wide applications in civil, mechanical, aerospace, materials processing and manufacturing engineering. Various efficient methods based on three-dimensional elasticity are developed under a unified framework, including the displacement method, the stress method, and the state-space method. In particular, a three-dimensional general solution is derived to solve practical problems such as the infinite space, half-space, bimaterial space, layered medium, bodies of revolution, thermal stresses and three-dimensional contact. Exact and analytical solutions are also derived for static and dynamic problems of plates and shells, which may be used as the benchmarks for numerical or approximate analysis. Coupling effects of inner/outer fluids and surrounding elastic media on the free vibration cylindrical and spherical shells are discussed in detail. New state-space formulations are established for the analysis of rectangular plates and spherical shells, from which two independent classes of vibrations can be easily clarified. In short, this is the first monograph on mechanics of transversely isotropic materials, which is unique, covers topics of practical importance and provides many references for the reader.
Title:Elasticity of Transversely Isotropic MaterialsFormat:PaperbackDimensions:456 pages, 9.45 × 6.3 × 0.04 inPublished:November 18, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048170184

ISBN - 13:9789048170180

Look for similar items by category:

Reviews

Table of Contents

Preface; Chapter 1 BASIC EQUATIONS OF ANISOTROPIC ELASTICITY: 1.1 Transformation of Strains and Stresses; 1.2 Basic Equations; 1.2.1 Geometric equations; 1.2.2 Equations of motion; 1.2.3 Constitutive equations; 1.3 Boundary and Initial Conditions; 1.3.1 Boundary conditions; 1.3.2 Initial conditions; 1.4 Thermoelasticity. Chapter 2 GENERAL SOLUTION FOR TRANSVERSELY ISOTROPIC PROBLEMS: 2.1 Governing Equations; 2.1.1 Methods of solution; 2.1.2 Governing equations for the displacement method 2.1.3 Equations for a mixed method - the state-space method; 2.2 Displacement Method; 2.2.1 General solution in Cartesian coordinates; 2.2.2 General solution in cylindrical coordinates; 2.3 Stress Method for Axisymmetric Problems 2.4 Displacement Method for Spherically Isotropic Bodies; 2.4.1 General solution; 2.4.2 Relationship between transversely isotropic and spherically isotropic solutions. Chapter 3 PROBLEMS FOR INFINITE SOLIDS: 3.1 The Unified Point Force Solution; 3.1.1 A point force perpendicular to the isotropic plane; 3.1.2 A point force within the isotropic plane; 3.2 The Point Force Solution for an Infinite Solid Composed of two Half-Spaces; 3.2. 1 A point force perpendicular to the isotropic plane; 3.2.2 A point force within the isotropic plane; 3.2.3 Some remarks; 3.3 An Infinite Transversely Isotropic Space with an Inclusions; 3.4 Spherically Isotropic Materials; 3.4.1 An infinite space subjected to a point force; 3.4.2 Stress concentration in neighbourhood of a spherical cavity. Chapter 4 HALF-SPACE AND LAYERED MEDIA: 4.1 Unified Solution for a Half-Space Subjected to a Surface Point Force; 4.1.1 A point force normal to the half-space surface; 4.1.2 A point force tangential to the half-space surface; 4.2 A Half-Space Subjected to an Interior Point Force; 4.2. 1 A point force normal to the half-space surface; 4.2.2 A point force tangential to the half-space surface; 4.3 General Solution by Fourier Transform; 4.4 Point Force Solution of an Elastic Layer; 4.5 Layered Elastic Media. Chapter 5 EQUILIBRIUM OF BODIES OF REVOLUTION: 5.1 Some Harmonic Functions; 5.1.1 Harmonic polynomials; 5.1.2 Harmonic functions containing ln(r I ij ); 5.1.3 Harmonic functions containing R; 5.2 An Annular (Circular) Plate Subjected to Axial Tension and Radial Compression; 5.3 An Annular (Circular) Plate Subjected to Pure Bending; 5.4 A Simply-Supported Annular (Circular) Plate Under Uniform Transverse Loading; 5.5 A Uniformly Rotating Annular (Circular) Plate; 5.6 Transversely Isotropic Cones; 5.6.1 Compression of a cone under an axial force; 5.6.2 Bending of a cone under a transverse force; 5.7 Spherically Isotropic Cones; 5.7.1. Equilibrium and boundary conditions; 5.7.2. A cone under tip forces; 5.7.3. A cone under concentrated moments at its apex; 5.7.4. Conical shells. Chapter 6 THERMAL STRESSES: 6.1 Transversely Isotropic Materials; 6.2 A Different General Solution for Transversely Isotropic Thermoelasticity; 6.2. 1 General solution for dynamic problems; 6.2.2 General solution for static problems; 6.3 Spherically Isotropic Materials. Chapter 7 FRICTIONAL CONTACT: 7.1 Two Elastic Bodies in Contact; 7.1.1 Mathematical description of a contact system; 7.1.2 Deformation of transversely isotropic bodies under frictionless contact; 7.1.3 A half-space under point forces; 7.2 Contact of a Sphere with a Half-Space; 7.2.1 Contact with normal loading; 7.2.2 Contact with tangential loading; 7.3 Contact of a Cylindrical Punch with a Half-Space; 7.3.1 Contact with normal loading; 7.3.2 Contact with tangential loading; 7.4 Indentation by a Cone; 7.4.1 Contact with normal loading; 7.4.2 Contact with tangential loading; 7.5 Inclined Contact of a Cylindrical Punch with a Half-Space; 7.5.1 Contact with normal loading; 7.5.2 Contact with tangential loading; 7.6 Discussions on Solutions for Frictional Contact. Chapter 8 BENDING, VIBRATION AND STABILITY OF PLATES: 8.1 General Solution Method; 8.1.1 Rectangular plates; 8.1.2 Circular plates; 8.2 The Sate-Space Method for Laminated Plates; 8.2.1 Laminated rectangular plates; 8.2.2 Laminated circular plates. Chapter 9 VIBRATIONS OF CYLINDERS AND CYLINDRICAL SHELLS OF TRANSVERSELY ISOTROPIC MATERIALS: 9.1 Three Simple Modes of Vibration; 9.1.1 Axisymmetric torsional vibration; 9.1.2 Breathing mode vibration; 9.1.3 Thickness-shear vibration; 9.2 Asymmetric Vibration; 9.3 Vibration of a Layered Cylindrical Shell; 9.3.1 State-space formulations; 9.3.2 Layerwise method and state vector solution; 9.3.3 Free vibration analysis and numerical results; 9.4 Vibration of a Cylindrical Shell Coupled with Fluid; 9.4.1 Coupling effect of fluid; 9.4.2 Free vibration of submerged and/or fluid-filled cylinders and cylindrical shells; 9.4.3 Numerical results of a fluid-filled cylindrical shell; 9.5 Vibration of a Cylindrical Shell Coupled with the Surrounding Elastic Medium; 9.5.1 Elastic waves in an isotropic elastic medium; 9.5.2 Displacements and stresses in the shell; 9.5.3 Vibration of the shell. Chapter 10 SPHERICAL SHELLS OF SPHERICALLY ISOTROPIC MATERIALS: 10.1 Free Vibration; 10.1.1 Basic equations and solution; 10.1.2 Free vibration analysis; 10.2 Frequency Equations and Numerical Results; 10.2.1 Frequency equations of a single-layered hollow sphere; 10.2.2 Some special cases; 10.2.3 An example; 10.3 Vibration Coupled with Fluid 10.3.1 Effect of fluid; 10.3.2 Frequency equations; 10.3.3 Numerical results; 10.4 Vibration Coupled with the Surrounding Elastic Medium; 10.4.1 Pasternak model of elastic foundation; 10.4.2 Frequency equations; 10.4.3 Numerical results; 10.5 Laminated Spherical Shells; 10.5.1 State-space formulations for spherically isotropic elasticity; 10.5.2 Layerwise method and state vector solution; 10.5.3 Frequency equations; 10.5.4 Numerical results. Appendix A ADDITIONAL NOTES AND BIBLIOGRAPHY TO CHAPTERS. Appendix B SPECIAL FUNCTIONS. Appendix C NOMENCLATURE. REFERENCES. INDEX.

Editorial Reviews

From the reviews:"The authors' main goal is to provide an introduction to the theory and applications of mechanics of transversely isotropic elastic materials. . Additional notes and bibliography to chapters, special functions and nomenclature are included in three appendices. . this book is written to meet the needs of modern topics on mechanics of transversely isotropic elastic solids. . It seems to be a useful reference book on the subject. . the book can be considered as an important contribution to the engineering literature." (Lokenath Debnath, Zentralblatt MATH, Vol. 1101 (3), 2007)"Ideally and emphatically Elasticity of Transversely Isotropic Materials may claim to be the first monograph on mechanics of transversely isotropic materials, which is unique, covers topics of practical importance and provides many references for the reader. Engineers, production and field engineers in engineering disciplines;, designers, and researchers in industry who are interested in the solution of transversely isotropic elastic materials will find this text an inviting study . . a pleasure and an education to read. It is simply brilliant." (Current Engineering Practice, 2007)