Wave Propagation in Layered Anisotropic Media
Elsevier Science Ltd (Verlag)
978-0-444-89018-4 (ISBN)
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Recent advances in the study of the dynamic behaviour of layered materials in general, and laminated fibrous composites in particular, are presented in this book. The need to understand the microstructural behaviour of such classes of materials has brought a new challenge to existing analytical tools. This book explores the fundamental question of how much mechanical waves propagate and interact with layered anisotropic media. The chapters are organized in a logical sequence depending on the complexity of the physical model and its mathematical treatment.
Introduction - historical background. Part 1 Field equations and tensor analysis: the stiffness tensor; material symmetry; matrix forms of stiffness; engineering constants; transformed equations; expanded field equations; planes of symmetry. Part 2 Bulk waves: an overview; the Christoffel equation; material symmetry; computer aided analysis; group velocity; energy flux. Part 3 Generalized Snell's law and interfaces: boundary conditions; characterization of incident waves; critical angles; two fluid media; two isotropic media. Part 4 Formal solutions: common form of solutions; triclinic layer; the monoclinic case; higher symmetry materials; formal solutions in fluid media; the alpha-c relation and the Christoffel equation. Part 5 Scattered wave amplitudes: notation; reflection from a free surface; scattering from fluid-solid interfaces; scattering from solid-solid interface. Part 6 Interface waves: surface waves; pseudo-surface waves; Scholte waves. Part 7 Free wave in plates: free waves in triclinic plates; free waves in monoclinic plates; higher symmetry material plates; numerical computation strategy. Part 8 General layered media: geometric description of unit cell; analysis; properties of the transfer matrix; free waves on the layered cell; waves in a periodic medium; bottom bounding solid substrate. Part 9 Propagation along axes of symmetry: geometry; SH waves; motion in the sagittal plane; free waves on the layered cell; waves in a periodic medium; bottom bounding solid substrate. Part 10 Fluid-loaded solids: reflection from a substrate; plates completely immersed in fluids; higher symmetry cases; leaky waves; experimental technique. Part 11 Piezoelectric effects: basic relations of piezoelectric materials; simplified field equations; analysis; formal solutions; higher symmetric materials; remarks on the monoclinic-m case; reflection and transmission coefficients; sample illustration; remarks on layered piezoelectric media. Part 12 Transient waves: theoretical development; source characterization; integral transforms of formal solutions; isotropic media; anisotropic media; Cagniard-de Hoop transformation; semi-space media. Part 13 Scattering from layered cylinders: field equations formal solutions in isotropic cylinders; characterization of incident waves; formal solutions for a layer; scattering amplitudes. Part 14 Elastic properties of composites: general description of fibrous composites; the model; the layered model; the square fibrous case; anisotropic fibre and matrix; strain energy approach; undulated fibre; appendix.
| Reihe/Serie | North-Holland Series in Applied Mathematics & Mechanics ; v. 39 |
|---|---|
| Zusatzinfo | indexes, references |
| Verlagsort | Oxford |
| Sprache | englisch |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Festkörperphysik |
| Naturwissenschaften ► Physik / Astronomie ► Mechanik | |
| Naturwissenschaften ► Physik / Astronomie ► Thermodynamik | |
| Technik ► Maschinenbau | |
| ISBN-10 | 0-444-89018-1 / 0444890181 |
| ISBN-13 | 978-0-444-89018-4 / 9780444890184 |
| Zustand | Neuware |
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