Buch, Englisch, 598 Seiten, Format (B × H): 175 mm x 250 mm, Gewicht: 1197 g
ISBN: 978-0-19-850625-6
Verlag: ACADEMIC
We experience elasticity everywhere in daily life: in the straightening or curling of hairs, the irreversible deformations of car bodies after a crash, or the bouncing of elastic balls in ping-pong or soccer. The theory of elasticity is essential to the recent developments of applied and fundamental science, such as the bio-mechanics of DNA filaments and other macro-molecules, and the animation of virtual characters in computer graphics and materials science. In this
book, the emphasis is on the elasticity of thin bodies (plates, shells, rods) in connection with geometry. It covers such topics as the mechanics of hairs (curled and straight), the buckling instabilities of stressed plates, including folds and conical points appearing at larger stresses, the
geometric rigidity of elastic shells, and the delamination of thin compressed films. It applies general methods of classical analysis, including advanced nonlinear aspects (bifurcation theory, boundary layer analysis), to derive detailed, fully explicit solutions to specific problems. These theoretical concepts are discussed in connection with experiments. The book is self-contained. Mathematical prerequisites are vector analysis and differential equations. The book can serve as a concrete
introduction to nonlinear methods in analysis.
Zielgruppe
Students and researchers in mechanical engineering, physics, computer graphics, bio-mechanics, and applied mathematics.
Autoren/Hrsg.
Fachgebiete
- Technische Wissenschaften Technik Allgemein Physik, Chemie für Ingenieure
- Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau
- Naturwissenschaften Physik Mechanik
- Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Kontinuumsmechanik
- Naturwissenschaften Physik Angewandte Physik
- Mathematik | Informatik Mathematik Geometrie
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
Weitere Infos & Material
1: Introduction
2: Three-dimensional elasticity
I: RODS
3: Equations for elastic rods
4: Mechanics of the human hair
5: Rippled leaves, uncoiled springs
II: PLATES
6: The equations for elastic plates
7: End effects in plate buckling
8: Finite amplitude buckling of a strip
9: Crumpled paper
10: Fractal buckling near edges
III: SHELLS
11: Geometric rigidity of surfaces
12: Shells of revolution
13: The elastic torus
14: Spherical shell pushed by a wall
Appendix A: Calculus of variations: a worked example
Appendix B: Boundary and interior layers
Appendix C: The geometry of helices
Appendix D: Derivation of the plate equations by formal expansion from 3D elasticity
