Rubber and Rubber Balloons: Paradigms of Thermodynamics / Edition 1

Rubber and Rubber Balloons: Paradigms of Thermodynamics / Edition 1

by Ingo Muller, Peter Strehlow, Ingo M. Ller
     
 

ISBN-10: 3540202447

ISBN-13: 9783540202448

Pub. Date: 05/14/2004

Publisher: Springer Berlin Heidelberg

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

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Overview

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.

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Product Details

ISBN-13:
9783540202448
Publisher:
Springer Berlin Heidelberg
Publication date:
05/14/2004
Series:
Lecture Notes in Physics Series, #637
Edition description:
2004
Pages:
123
Product dimensions:
9.21(w) x 6.14(h) x 0.44(d)

Table of Contents

1Stability of two rubber balloons1
2Kinetic theory of rubber7
3Non-linear elasticity21
4Biaxial stretching of a rubber membrane - a paradigm of stability, symmetry-breaking, and hysteresis35
5Stability of a single balloon51
6Stepwise inflation of a balloon63
7Two balloons- revisited69
8Many balloons - the emergence of a pseudoelastic hysteresis79
9Stability of the spherical shape87
10Stress-induced crystallization of rubber97
11History of rubber and its use105

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