Rubber and Rubber Balloons

Paradigms of Thermodynamics
2004. 2004
ISBN: 978-3-540-20244-8
Verlag: Springer-Verlag GmbH

Buch, Englisch, Band 637, 123 Seiten, Book, Format (B × H): 162 mm x 243 mm, Gewicht: 323 g

Reihe: Lecture Notes in Physics

Experiments with rubber balloons and rubber sheets have led to surprising observations, some of them hitherto unknown or not previously described in the literature. In balloons, these phenomena are due to the non-monotonic pressure-radius characteristic which makes balloons a subject of interest to physicists engaged in stability studies. Here is a situation in which symmetry breaking and hysteresis may be studied analytically, because the stress-stretch relations of rubber - and its non-convex free energy - can be determined explicitly from the kinetic theory of rubber and from non-linear elasticity. Since rubber elasticity and the elasticity of gases are both entropy-induced, a rubber balloon represents a compromise between the entropic tendency of a gas to expand and the entropic tendency of rubber to contract. Thus rubber and rubber balloons furnish instructive paradigms of thermodynamics. This monograph treats the subject at a level appropriate for post-graduate studies.

Zielgruppe

Research

Autoren/Hrsg.

Müller, Ingo

Strehlow, Peter

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Werkstoffkunde, Materialwissenschaft: Forschungsmethoden
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Kontinuumsmechanik
• Naturwissenschaften Physik Angewandte Physik
• Technische Wissenschaften Verfahrenstechnik | Chemieingenieurwesen | Biotechnologie Technologie der Kunststoffe und Polymere
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Technische Thermodynamik
• Technische Wissenschaften Technik Allgemein Physik, Chemie für Ingenieure
• Naturwissenschaften Physik Thermodynamik
• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Materialwissenschaft: Polymerwerkstoffe

Inhaltsverzeichnis

Stability of Two Rubber Balloons.- Kinetic Theory of Rubber.- Non-linear Elasticity.- Biaxial Stretching of a Rubber Membrane.- Stability of a Single Balloon. Stabilization.- Stepwise Inflation of a Balloon.- Inflation and Deflation of Two Balloons. Hysteresis.- Many Balloons. Emergence of a Pseudoelastic Hysteresis.- Crystallization of Rubber.- Historical Notes.