Computational viscoelasticity:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Heidelberg [u.a.]
Springer
2012
|
| Series: | SpringerBriefs in applied sciences and technology : computational mechanics
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XI, 124 S. graph. Darst. |
| ISBN: | 9783642253102 |
Staff View
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Record in the Search Index
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IMAGE 1
CONTENTS
1 INTRODUCTION 1
1.1 HISTORICAL CONTEXT 1
1.2 BASIC EXPERIMENTAL RESULTS 2
1.3 CONSTITUTIVE RELATIONS 4
1.3.1 DEPENDENCE ON T I M E HISTORY; ELASTIC AND VISCOELASTIC MATERIALS
4
1.3.2 DEPENDENCE ON STRESS: LINEARITY 5
1.3.3 DEPENDENCE ON AGE: AGING 7
1.4 STATE VARIABLES FORMULATION 8
1.5 COMPUTATIONAL VISCOELASTICITY 8
REFERENCES 9
2 RHEOLOGICAL MODELS: INTEGRAL AND DIFFERENTIAL R E P R E S E N T A T I
O N S . . . 11
2.1 GENERAL INTEGRAL RELATIONS 11
2.2 RHEOLOGICAL MODELS 13
2.2.1 T H E BASIC ELEMENTS: SPRING AND DASHPOT 13
2.2.2 MAXWELL MODEL 13
2.2.3 KELVIN MODEL 15
2.3 GENERALIZED MODELS 16
2.3.1 GENERAL DIFFERENTIAL REPRESENTATION 19
2.4 INTEGRAL AND DIFFERENTIAL OPERATORS 2 0
2.5 THERMODYNAMIC RESTRICTIONS 21
REFERENCES 21
3 STATE VARIABLES APPROACH 23
3.1 BASIC FORMULATION 2 3
3.2 INCREMENTAL DETERMINATION O F STATE VARIABLES 2 5
3.3 PHYSICAL GROUNDS AND EXTENSIONS 27
REFERENCES 2 8
I X
HTTP://D-NB.INFO/1016259735
IMAGE 2
X
C O N T E N T S
4 MULTIDIMENSIONAL VISCOELASTIC RELATIONS 2 9
4.1 GENERAL RELATIONS 2 9
4.2 ISOTROPIC MATERIALS 3 0
4.2.1 INTEGRAL AND DIFFERENTIAL REPRESENTATIONS 3 0
4.2.2 STATE VARIABLES REPRESENTATION 31
4.2.3 DETERMINATION O F CREEP AND RELAXATION FUNCTIONS . . . 31
4.3 ANISOTROPIC MATERIALS 3 3
4.3.1 CONSTITUTIVE RELATION FOR AN ANISOTROPIC MATERIAL. . . . 3 3
4.3.2 STATE VARIABLES REPRESENTATION 3 4
REFERENCES 3 5
5 LAPLACE TRANSFORM SOLUTIONS 37
5.1 RELATIONS AMONG VISCOELASTIC CONSTITUTIVE REPRESENTATIONS AND
FUNCTIONS 37
5.2 CORRESPONDENCE PRINCIPLE 4 3
5.3 NUMERICAL INVERSION O F LAPLACE TRANSFORM 4 7
REFERENCES 4 9
6 TEMPERATURE EFFECT 51
6.1 LINEAR THERMOVISCOELASTICITY 51
6.2 TEMPERATURE EFFECTS IN POLYMERS 5 2
6.3 THERMORHEOLOGICALLY SIMPLE MATERIALS 5 3
6.3.1 TIME-SHIFTING FACTOR 5 3
6.3.2 REAL T I M E BEHAVIOR 5 4
6.3.3 ANISOTROPIC MATERIALS 55
6.4 THERMO-RHEOLOGICALLY COMPLEX MATERIALS 5 6
6.5 TEMPERATURE EFFECTS IN CONCRETE 57
REFERENCES 5 8
7 MATERIALS WITH AGING 5 9
7.1 EXPERIMENTAL RESULTS 59
7.2 VISCOELASTIC AGING FORMULATION 6 0
7.3 RHEOLOGICAL MODELS WITH T I M E VARIABLE PARAMETERS 61
7.4 REPRESENTATION BY MEANS O F STATE VARIABLES 6 3
7.5 AGING AND THE TIME SHIFTING PROCEDURE 6 4
REFERENCES 6 5
8 NONLINEAR VISCOELASTICITY 67
8.1 SCHAPERY SINGLE INTEGRAL NON-LINEAR VISCOELASTICITY 67
8.2 NONLINEAR VISCOELASTICITY AT LARGE STRAINS IN INTEGRAL F O R M . . .
6 9
8.2.1 GENERAL CONSTITUTIVE RELATION 6 9
8.2.2 MULTIPLE INTEGRAL REPRESENTATIONS 7 0
8.2.3 PIPKIN-ROGERS MODEL 7 0
8.2.4 QUASI-LINEAR VISCOELASTIC MODEL 71
IMAGE 3
C O N T E N T S XI
8.3 NONLINEAR VISCOELASTICITY AT LARGE STRAINS USING
STATE VARIABLES 71
8.3.1 HYPERELASTIC FORMULATION 7 2
8.3.2 VISCOELASTIC SMALL STRAIN RELATIONS 7 3
8.3.3 FORMULATION O F THE NONLINEAR VISCOELASTIC M O D E L . . . . 7 4
REFERENCES 7 5
9 VISCOELASTIC FINITE ELEMENT FORMULATION 77
9.1 PRINCIPLE O F VIRTUAL DISPLACEMENTS 77
9.2 LINEARIZATION O F THE PRINCIPLE O F VIRTUAL DISPLACEMENTS 7 9
9.3 NONLINEAR VISCOELASTIC FINITE ELEMENT FORMULATION 8 0
9.4 NUMERICAL SOLUTION O F THE EQUILIBRIUM EQUATION 82
9.5 PROCEDURES O F THE VISCOELASTIC FINITE ELEMENT ANALYSIS 84
REFERENCES 85
10 THE BOUNDARY ELEMENT M E T H O D FOR VISCOELASTICITY PROBLEMS . . . .
87
10.1 LINEAR ELASTIC PROBLEMS AND SOMIGLIANA IDENTITY 87
10.1.1 BOUNDARY ELEMENT FORMULATION FOR THE LINEAR ELASTIC CASE 88
10.2 VISCOELASTIC SOLUTIONS IN THE LAPLACE TRANSFORM DOMAIN . . . . 8 9
10.3 FORMULATION CONSIDERING INELASTIC STRAINS 89
10.3.1 D R M APPLIED TO VISCOELASTICITY 9 0
10.4 OTHER PROCEDURES 91
REFERENCES 91
11 VISCOELASTIC FINITE VOLUME FORMULATION 9 3
11.1 PARAMETRIC FINITE V O L U M E FORMULATION: BACKGROUND 9 3
11.2 VISCOELASTIC PARAMETRIC FINITE VOLUME FORMULATION 9 8
REFERENCES 101
12 SOLUTIONS WITH ABAQUS 103
12.1 SMALL STRAIN EXAMPLES 103
12.2 THERMO-VISCOELASTICITY EXAMPLES 108
12.3 FINITE STRAIN EXAMPLES 109
REFERENCES 110
APPENDIX A: MATHEMATICAL FORMULAE 113
APPENDIX B 117
APPENDIX C 121
INDEX 123 |
| any_adam_object | 1 |
| author | Marques, Severino P. C. Creus, Guillermo J. |
| author_facet | Marques, Severino P. C. Creus, Guillermo J. |
| author_role | aut aut |
| author_sort | Marques, Severino P. C. |
| author_variant | s p c m spc spcm g j c gj gjc |
| building | Verbundindex |
| bvnumber | BV039874393 |
| classification_rvk | UF 1610 |
| ctrlnum | (OCoLC)779586571 (DE-599)DNB1016259735 |
| dewey-full | 620.1123201518 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.1123201518 |
| dewey-search | 620.1123201518 |
| dewey-sort | 3620.1123201518 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Maschinenbau / Maschinenwesen Physik |
| format | Book |
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| spelling | Marques, Severino P. C. Verfasser aut Computational viscoelasticity Severino P. C. Marques ; Guillermo J. Creus Heidelberg [u.a.] Springer 2012 XI, 124 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier SpringerBriefs in applied sciences and technology : computational mechanics Viskoelastizität (DE-588)4063621-5 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Viskoelastizität (DE-588)4063621-5 s Mathematisches Modell (DE-588)4114528-8 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Creus, Guillermo J. Verfasser aut Erscheint auch als Online-Ausgabe 978-3-642-25311-9 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3899740&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024733652&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Marques, Severino P. C. Creus, Guillermo J. Computational viscoelasticity Viskoelastizität (DE-588)4063621-5 gnd Mathematisches Modell (DE-588)4114528-8 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4063621-5 (DE-588)4114528-8 (DE-588)4128130-5 |
| title | Computational viscoelasticity |
| title_auth | Computational viscoelasticity |
| title_exact_search | Computational viscoelasticity |
| title_full | Computational viscoelasticity Severino P. C. Marques ; Guillermo J. Creus |
| title_fullStr | Computational viscoelasticity Severino P. C. Marques ; Guillermo J. Creus |
| title_full_unstemmed | Computational viscoelasticity Severino P. C. Marques ; Guillermo J. Creus |
| title_short | Computational viscoelasticity |
| title_sort | computational viscoelasticity |
| topic | Viskoelastizität (DE-588)4063621-5 gnd Mathematisches Modell (DE-588)4114528-8 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Viskoelastizität Mathematisches Modell Numerisches Verfahren |
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