Rubber and rubber balloons: paradigms of thermodynamics
"Rubber and rubber balloons furnish instructive paradigms of thermodynamics. This monograph treats the subject at a level appropriate for post graduate studies."--BOOK JACKET.
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin u.a.
Springer
2004
|
| Series: | Lecture notes in physics
637 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Summary: | "Rubber and rubber balloons furnish instructive paradigms of thermodynamics. This monograph treats the subject at a level appropriate for post graduate studies."--BOOK JACKET. |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | VII, 123 S. Ill., graph. Darst. |
| ISBN: | 3540202447 |
Staff View
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Record in the Search Index
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| adam_text | I. MIILLER P. STREHLOW RUBBER AND RUBBER BALLOONS PARADIGMS OF
THERMODYNAMICS SPRINGER CONTENTS 1 STABILITY OF TWO RUBBER BALLOONS 1 2
KINETIC THEORY OF RUBBER 7 2.1 RUBBER ELASTICITY IS ENTROPY INDUCED 7
2.2 ENTROPY OF A RUBBER MOLECULE 10 2.3 THE RUBBER MOLECULE WITH
ARBITRARILY ORIENTED LINKS 12 2.4 ENTROPY AND DISORDER, ENTROPIC
ELASTICITY 14 2.5 ENTROPY OF A RUBBER BAR 14 2.6 UNIAXIAL FORCE-STRETCH
CURVE , 16 2.7 BIAXIAL LOADING 17 2.8 APPLICATION TO A BALLOON 19 2.9
CRITICISM OF THE KINETIC THEORY OF RUBBER 20 3 NON-LINEAR ELASTICITY 21
3.1 DEFORMATION GRADIENT AND STRESS-STRETCH RELATION 21 3.2 MATERIAL
SYMMETRY AND ISOTROPY 22 3.3 MATERIAL OBJECTIVITY 24 3.4 REPRESENTATION
OF AN ISOTROPIC FUNCTION 24 3.5 INCOMPRESSIBILITY. MOONEY-RIVLIN
MATERIAL 26 3.6 BIAXIAL STRETCHING OF A MOONEY-RIVLIN MEMBRANE 27 3.7
FREE ENERGY 27 3.8 RUBBER BALLOON WITH THE MOONEY-RIVLIN EQUATION 28 3.9
SURFACE TENSION 29 3.10 CYLINDRICAL BALLOON 30 3.11 TRELOAR S BIAXIAL
EXPERIMENT 32 4 BIAXIAL STRETCHING OF A RUBBER MEMBRANE - A PARADIGM OF
STABILITY, SYMMETRY-BREAKING, AND HYSTERESIS 35 4.1 LOAD-DEFORMATION
RELATIONS OF A BIAXIALLY LOADED MOONEY-RIVLIN MEMBRANE 35 4.2
DEFORMATION OF A SQUARE MEMBRANE UNDER SYMMETRIC LOADING 35 4.3
STABILITY CRITERIA 37 4.4 MINIMAL FREE ENERGY 38 4.5 FREE ENTHALPY,
GIBBS FREE ENERGY 39 VI CONTENTS 4.6 SYMMETRY BREAKING 41 4.7 HYSTERESIS
43 4.8 NON-MONOTONE FORCE-STRETCH RELATION 44 4.9 HYSTERESIS AND
BREAKTHROUGH. DISSIPATION 46 4.10 A THREE-DIMENSIONAL VIEW 47 4.11
COMPARISON WITH TRELOAR S DEAD LOADING EXPERIMENT 48 4.12 EXPERIMENTAL
EVIDENCE FOR BIFURCATION 50 5 STABILITY OF A SINGLE BALLOON 51 5.1
PRESSURE-RADIUS CHARACTERISTIC AND FILLING-RADIUS CHARACTERISTIC 51 5.2
PRESSURE-FILLING CURVE 52 5.3 FREE ENERGY-RADIUS RELATION OF THE BALLOON
.52 5.4 STABILITY AND NON-MONOTONICITY 53 5.5 SUGGESTIVE STABILITY
CRITERION 57 5.6 A HYDROSTATIC DEVICE FOR CONTROLLING THE INFLATION OF A
BALLOON : 61 6 STEPWISE INFLATION OF A BALLOON 63 6.1 STAGES OF ONE
STROKE OF INFLATION 63 6.2 PARTIAL EQUILIBRIA ; 64 6.3 STEPWISE
INFLATION FOR A STIFF SPRING 66 6.4 STEPWISE INFLATION FOR A SOFT SPRING
66 6.5 DISSIPATION 67 6.6 MINIMA OF AVAILABLE FREE ENERGY 67 7 TWO
BALLOONS * REVISITED 69 7.1 EQUILIBRIA IN THE (RI,R2)-DIAGRAM 69 7.2
INVESTIGATION OF STABILITY 71 7.3 ENERGY LANDSCAPE 73 7.4 SIMULTANEOUS
INFLATION-DEFLATION EXPERIMENT. HYSTERESIS 76 8 MANY BALLOONS - THE
EMERGENCE OF A PSEUDOELASTIC HYSTERESIS 79 8.1 SIMULTANEOUS INFLATION OF
FOUR BALLOONS 79 8.2 TEN BALLOONS 80 8.3 MANY BALLOONS 83 8.4 PHASE
TRANSITION AND PSEUDOELASTICITY 84 9 STABILITY OF THE SPHERICAL SHAPE 87
9.1 ROTATIONAL BUT NOT SPHERICAL SYMMETRY? 87 9.2 A MODICUM OF SURFACE
GEOMETRY 87 9.3 BALANCE OF FORCES 89 9.4 MOTION, STRETCHES, SURFACE
STRESS, AND PRESSURE 90 9.5 EQUILIBRIUM CONDITIONS 91 CONTENTS VII 9.6
TESTING STABILITY OF THE SPHERICAL SOLUTION 92 ,9.7 DISCUSSION 95 10
STRESS-INDUCED CRYSTALLIZATION OF RUBBER 97 10.1 PHENOMENON 97 10.2 THE
MECHANISM OF CRYSTALLIZATION 98 10.3 FREE ENERGY OF CRYSTALLIZING
RUBBER 100 10.4 HYSTERESIS AND RESIDUAL STRETCH 102 11 HISTORY OF RUBBER
AND ITS USE 105 REFERENCES ILL CHAPTER 1 (YOUNG-LAPLACE EQUATION) ILL
CHAPTER 2 (KINETIC THEORY OF RUBBER) 112 CHAPTER 3 (NON-LINEAR
ELASTICITY) 114 CHAPTER 4 (PLANE SQUARE MEMBRANE) 115 CHAPTER 5 THROUGH
8 (ONE, TWO, AND MANY BALLOONS) 116 CHAPTER 9 (STABILITY OF THE
SPHERICAL SHAPE) 118 CHAPTER 10 (CRYSTALLIZATION AND LIMITED
EXTENSIBILITY) 119 CHAPTER 11 (HISTORY) 120 INDEX 121
|
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| author | Müller, Ingo 1936- |
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| indexdate | 2024-07-09T19:57:45Z |
| institution | BVB |
| isbn | 3540202447 |
| language | English |
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| physical | VII, 123 S. Ill., graph. Darst. |
| publishDate | 2004 |
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| series | Lecture notes in physics |
| series2 | Lecture notes in physics Physics and astronomy online library |
| spelling | Müller, Ingo 1936- Verfasser (DE-588)128217863 aut Rubber and rubber balloons paradigms of thermodynamics I. Müller ; P. Strehlow Berlin u.a. Springer 2004 VII, 123 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in physics 637 Physics and astronomy online library Includes bibliographical references and index "Rubber and rubber balloons furnish instructive paradigms of thermodynamics. This monograph treats the subject at a level appropriate for post graduate studies."--BOOK JACKET. Ballons de baudruche Caoutchouc Física larpcal Thermodynamique Élasticité Elasticity Novelty balloons Rubber Thermodynamics Luftballon (DE-588)4270332-3 gnd rswk-swf Thermodynamik (DE-588)4059827-5 gnd rswk-swf Elastizität (DE-588)4014159-7 gnd rswk-swf Gummi (DE-588)4022538-0 gnd rswk-swf Gummi (DE-588)4022538-0 s Elastizität (DE-588)4014159-7 s Thermodynamik (DE-588)4059827-5 s DE-604 Luftballon (DE-588)4270332-3 s Strehlow, Peter Sonstige oth Lecture notes in physics 637 (DE-604)BV000003166 637 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012794443&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Müller, Ingo 1936- Rubber and rubber balloons paradigms of thermodynamics Lecture notes in physics Ballons de baudruche Caoutchouc Física larpcal Thermodynamique Élasticité Elasticity Novelty balloons Rubber Thermodynamics Luftballon (DE-588)4270332-3 gnd Thermodynamik (DE-588)4059827-5 gnd Elastizität (DE-588)4014159-7 gnd Gummi (DE-588)4022538-0 gnd |
| subject_GND | (DE-588)4270332-3 (DE-588)4059827-5 (DE-588)4014159-7 (DE-588)4022538-0 |
| title | Rubber and rubber balloons paradigms of thermodynamics |
| title_auth | Rubber and rubber balloons paradigms of thermodynamics |
| title_exact_search | Rubber and rubber balloons paradigms of thermodynamics |
| title_full | Rubber and rubber balloons paradigms of thermodynamics I. Müller ; P. Strehlow |
| title_fullStr | Rubber and rubber balloons paradigms of thermodynamics I. Müller ; P. Strehlow |
| title_full_unstemmed | Rubber and rubber balloons paradigms of thermodynamics I. Müller ; P. Strehlow |
| title_short | Rubber and rubber balloons |
| title_sort | rubber and rubber balloons paradigms of thermodynamics |
| title_sub | paradigms of thermodynamics |
| topic | Ballons de baudruche Caoutchouc Física larpcal Thermodynamique Élasticité Elasticity Novelty balloons Rubber Thermodynamics Luftballon (DE-588)4270332-3 gnd Thermodynamik (DE-588)4059827-5 gnd Elastizität (DE-588)4014159-7 gnd Gummi (DE-588)4022538-0 gnd |
| topic_facet | Ballons de baudruche Caoutchouc Física Thermodynamique Élasticité Elasticity Novelty balloons Rubber Thermodynamics Luftballon Thermodynamik Elastizität Gummi |
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