Non-linear continuum mechanics of microemulsions and amphiphilic monolayers:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Pro Business
2007
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XIII, 150 S. Ill., graph. Darst. |
| ISBN: | 9783939430049 3939430048 |
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MARC
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| 245 | 1 | 0 | |a Non-linear continuum mechanics of microemulsions and amphiphilic monolayers |c Arnold Krawietz |
| 264 | 1 | |a Berlin |b Pro Business |c 2007 | |
| 300 | |a XIII, 150 S. |b Ill., graph. Darst. | ||
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| 650 | 4 | |a Continuum mechanics | |
| 650 | 4 | |a Emulsions | |
| 650 | 4 | |a Nonlinear theories | |
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Record in the Search Index
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Contents
1 Objectives and Main Results 1
1.1 Information for the Reader with a Background in Mechanics . 1
1.2 Information for the Reader with a Background in Chemical
Physics . 2
1.3 Organization of the Investigation. 4
1.4 The Main Results. 5
2 The Mesoscopic Approach 7
2.1 Composition of the Mixture. 7
2.2 Computation of Volumes. 9
2.3 Elastic Behaviour of the Fluids. 10
2.4 The Extended Energy. 11
2.5 Necessary Conditions of a Minimum. 12
2.6 The Physical Meaning of these Conditions. 15
2.7 Equilibrium of the Film. 15
2.8 The Internal Forces of a Fluid Film. 16
2.9 Global Equilibrium. 19
2.10 The Surface Tension. 20
2.11 Special theories. 20
3 The Microscopic Approach 22
3.1 Deformation of a Thick Layer. 22
3.2 Mass. 25
3.3 Power and Energy. 25
3.4 Relaxation. 28
4 A Constitutive Assumption 30
4.1 The Energy Density of the Film. 30
4.2 Evaluation. 33
4.3 Helfrich's Bending Energy Density. 35
5 Evaluation for Special Surfaces 38
5.1 The Basic Variables . 38
5.2 Areas and Volumes. 39
5.2.1 Spheres. 39
5.2.2 Cylinders. 39
5.2.3 Bi-continuous Structures. 40
5.3 Oil and Water Pressures. 41
5.3.1 Spheres. 41
5.3.2 Cylinders. 41
5.3.3 Bi-continuous Structures. 42
5.4 Four Possible Cases. 43
XI
5.4.1 Case 1: Neither Oil nor Water Excess . 43
5.4.2 Case 2: Oil Excess but no Water Excess. 44
5.4.3 Case 3: Water Excess but no Oil Excess. 45
5.4.4 Case 4: Water Excess and Oil Excess. 46
5.5 Local Equilibriuin . 4'
6 A Simplifled Approach
6.1 The Assumptions.
6.2 Consequences. ^0
6.3 The Total Energy Density. 52
6.4 Solubility. ®
6.5 Lamellae as a Reference.
6.6 A Numerical Example. 56
6.7 Graphs of the Rating Functions. 57
6.8 The Phase Map. 62
6.9 The X Point. U
6.10 Symmetry Breaking . ^
6.11 Coexistence of Two Structures .
6.11.1 The Mixing Rules . 70
6.11.2 A Coarse Treatment of the Coexistence.
6.11.3 A Refined Treatment.
6.11.4 Coexistence with Lamellae .
A Tensor Notation
B Description of a Material Surface **
B.l Actual and Reference Placement .
B.2 Motion of the Surface.
B.3 The Vicinity of the Surface. ^
C Propertiesof the Curvature Tensor ®?
C.l Symmetry of the Curvature Tensor. 11
C.2 Invariante of the Curvature Tensor. *
C.3 Functions of the Curvature. \!
C.4 Some Differential Identities.•
D Description of a Thick Layer 9l
E The Divergence Theorem of a Curved Surface "
F The Euler-Lagrangean Differential Equations **
1
G The Internat Forces of a Shell 97
CM General Oonsiderations. i(7
CJ.2 Rest riet ions in the (aseof a llnid Film. KKI
G.3 SiinplinYation of tho ILuler-Lagrange F.i|iiations. 101
H A Class of Bi-continuous Surfaces 102
H.l A Suhslitule of Schvvarz's P hurlacc . 102
H.2 Definition of a Cliis-s ofSiirfaciÄ. 108
11.3 Nhiihthal Integration oti the Surfaees. 109
I Inclastic Behaviour of a Thick Layer 110
1.1 Deconiposition of the Transplsuement . 110
1.2 Klastir Strains und Invariaiits. 113
1.3 Mass. 11«
II Power and Energy . 117
1.5 Relaxation. 123
Iß Unk to the Mesohfopir Approarli. 125
1.7 The Angle rt in the Relaxet! State . 12f
J The Spinning Drop Test 128
.1.1 The Free Energy. 128
.1.2 N'eressary C'onditions of a Minimum. 129
J.3 Introduction of the C'onstitiitive Assumption . 132
,1.1 Cylindrical Co-ordinates. 13)
J.5 The Differential Eqiiations of the Buhble. 13!)
J.« The Membrane Solution. MO
J.7 The pari of the bending moments. IM
References 146
Index 148
XIII |
| adam_txt |
Contents
1 Objectives and Main Results 1
1.1 Information for the Reader with a Background in Mechanics . 1
1.2 Information for the Reader with a Background in Chemical
Physics . 2
1.3 Organization of the Investigation. 4
1.4 The Main Results. 5
2 The Mesoscopic Approach 7
2.1 Composition of the Mixture. 7
2.2 Computation of Volumes. 9
2.3 Elastic Behaviour of the Fluids. 10
2.4 The Extended Energy. 11
2.5 Necessary Conditions of a Minimum. 12
2.6 The Physical Meaning of these Conditions. 15
2.7 Equilibrium of the Film. 15
2.8 The Internal Forces of a Fluid Film. 16
2.9 Global Equilibrium. 19
2.10 The Surface Tension. 20
2.11 Special theories. 20
3 The Microscopic Approach 22
3.1 Deformation of a Thick Layer. 22
3.2 Mass. 25
3.3 Power and Energy. 25
3.4 Relaxation. 28
4 A Constitutive Assumption 30
4.1 The Energy Density of the Film. 30
4.2 Evaluation. 33
4.3 Helfrich's Bending Energy Density. 35
5 Evaluation for Special Surfaces 38
5.1 The Basic Variables . 38
5.2 Areas and Volumes. 39
5.2.1 Spheres. 39
5.2.2 Cylinders. 39
5.2.3 Bi-continuous Structures. 40
5.3 Oil and Water Pressures. 41
5.3.1 Spheres. 41
5.3.2 Cylinders. 41
5.3.3 Bi-continuous Structures. 42
5.4 Four Possible Cases. 43
XI
5.4.1 Case 1: Neither Oil nor Water Excess . 43
5.4.2 Case 2: Oil Excess but no Water Excess. 44
5.4.3 Case 3: Water Excess but no Oil Excess. 45
5.4.4 Case 4: Water Excess and Oil Excess. 46
5.5 Local Equilibriuin . 4'
6 A Simplifled Approach
6.1 The Assumptions.
6.2 Consequences. ^0
6.3 The Total Energy Density. 52
6.4 Solubility. ®
6.5 Lamellae as a Reference.
6.6 A Numerical Example. 56
6.7 Graphs of the Rating Functions. 57
6.8 The Phase Map. 62
6.9 The X Point. U
6.10 Symmetry Breaking . ^
6.11 Coexistence of Two Structures .
6.11.1 The Mixing Rules . 70
6.11.2 A Coarse Treatment of the Coexistence.
6.11.3 A Refined Treatment.
6.11.4 Coexistence with Lamellae .
A Tensor Notation
B Description of a Material Surface **
B.l Actual and Reference Placement .
B.2 Motion of the Surface.
B.3 The Vicinity of the Surface. ^
C Propertiesof the Curvature Tensor ®?
C.l Symmetry of the Curvature Tensor. 11
C.2 Invariante of the Curvature Tensor. *
C.3 Functions of the Curvature. \!
C.4 Some Differential Identities.•
D Description of a Thick Layer 9l
E The Divergence Theorem of a Curved Surface "
F The Euler-Lagrangean Differential Equations **
1
G The Internat Forces of a Shell 97
CM General Oonsiderations. i(7
CJ.2 Rest riet ions in the (aseof a llnid Film. KKI
G.3 SiinplinYation of tho ILuler-Lagrange F.i|iiations. 101
H A Class of Bi-continuous Surfaces 102
H.l A Suhslitule of Schvvarz's P hurlacc . 102
H.2 Definition of a Cliis-s ofSiirfaciÄ. 108
11.3 Nhiihthal Integration oti the Surfaees. 109
I Inclastic Behaviour of a Thick Layer 110
1.1 Deconiposition of the Transplsuement . 110
1.2 Klastir Strains und Invariaiits. 113
1.3 Mass. 11«
II Power and Energy . 117
1.5 Relaxation. 123
Iß Unk to the Mesohfopir Approarli. 125
1.7 The Angle rt in the Relaxet! State . 12f
J The Spinning Drop Test 128
.1.1 The Free Energy. 128
.1.2 N'eressary C'onditions of a Minimum. 129
J.3 Introduction of the C'onstitiitive Assumption . 132
,1.1 Cylindrical Co-ordinates. 13)
J.5 The Differential Eqiiations of the Buhble. 13!)
J.« The Membrane Solution. MO
J.7 The pari of the bending moments. IM
References 146
Index 148
XIII |
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| author | Krawietz, Arnold 1941- |
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| dewey-ones | 541 - Physical chemistry |
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| discipline | Chemie / Pharmazie Physik |
| discipline_str_mv | Chemie / Pharmazie Physik |
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| illustrated | Illustrated |
| index_date | 2024-07-02T17:42:25Z |
| indexdate | 2024-07-20T09:17:58Z |
| institution | BVB |
| isbn | 9783939430049 3939430048 |
| language | English |
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| physical | XIII, 150 S. Ill., graph. Darst. |
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| spelling | Krawietz, Arnold 1941- Verfasser (DE-588)108491706 aut Non-linear continuum mechanics of microemulsions and amphiphilic monolayers Arnold Krawietz Berlin Pro Business 2007 XIII, 150 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Continuum mechanics Emulsions Nonlinear theories Mikroemulsion (DE-588)4169812-5 gnd rswk-swf Amphiphile Verbindungen (DE-588)4142278-8 gnd rswk-swf Monoschicht (DE-588)4250307-3 gnd rswk-swf Nichtlineare Kontinuumsmechanik (DE-588)4603615-5 gnd rswk-swf Mikroemulsion (DE-588)4169812-5 s Nichtlineare Kontinuumsmechanik (DE-588)4603615-5 s DE-604 Amphiphile Verbindungen (DE-588)4142278-8 s Monoschicht (DE-588)4250307-3 s text/html http://deposit.dnb.de/cgi-bin/dokserv?id=2937998&prov=M&dok_var=1&dok_ext=htm Inhaltstext HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015673673&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Krawietz, Arnold 1941- Non-linear continuum mechanics of microemulsions and amphiphilic monolayers Continuum mechanics Emulsions Nonlinear theories Mikroemulsion (DE-588)4169812-5 gnd Amphiphile Verbindungen (DE-588)4142278-8 gnd Monoschicht (DE-588)4250307-3 gnd Nichtlineare Kontinuumsmechanik (DE-588)4603615-5 gnd |
| subject_GND | (DE-588)4169812-5 (DE-588)4142278-8 (DE-588)4250307-3 (DE-588)4603615-5 |
| title | Non-linear continuum mechanics of microemulsions and amphiphilic monolayers |
| title_auth | Non-linear continuum mechanics of microemulsions and amphiphilic monolayers |
| title_exact_search | Non-linear continuum mechanics of microemulsions and amphiphilic monolayers |
| title_exact_search_txtP | Non-linear continuum mechanics of microemulsions and amphiphilic monolayers |
| title_full | Non-linear continuum mechanics of microemulsions and amphiphilic monolayers Arnold Krawietz |
| title_fullStr | Non-linear continuum mechanics of microemulsions and amphiphilic monolayers Arnold Krawietz |
| title_full_unstemmed | Non-linear continuum mechanics of microemulsions and amphiphilic monolayers Arnold Krawietz |
| title_short | Non-linear continuum mechanics of microemulsions and amphiphilic monolayers |
| title_sort | non linear continuum mechanics of microemulsions and amphiphilic monolayers |
| topic | Continuum mechanics Emulsions Nonlinear theories Mikroemulsion (DE-588)4169812-5 gnd Amphiphile Verbindungen (DE-588)4142278-8 gnd Monoschicht (DE-588)4250307-3 gnd Nichtlineare Kontinuumsmechanik (DE-588)4603615-5 gnd |
| topic_facet | Continuum mechanics Emulsions Nonlinear theories Mikroemulsion Amphiphile Verbindungen Monoschicht Nichtlineare Kontinuumsmechanik |
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