Strain localisation analysis for fully and partially saturated geomaterials:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Hannover
IBNm
2001
|
| Series: | Institut für Baumechanik und Numerische Mathematik, Universität Hannover
F ; [20]01,2 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Zugl.: Hannover, Univ., Diss., 2000 |
| Physical Description: | 226 S. graph. Darst. |
| ISBN: | 3980725960 |
Staff View
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Record in the Search Index
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| adam_text | HANPTREFERENL: PROF. DR.-ING. P. WRIGGERS KORREFERENT: PROF. DR.-ING. B.
SCHREFLER DOKTORAND: M.SC. HONGWU ZHANG TRAIN LOCALISATION ANALYSIS FOR
FULLY AND PARTIALLY SATURATED GEOMATERIALS VOM FACHBEREICH BAUINGENIEUR-
UND VERMESSUNGSWESEN DER UNIVERSITAT HANNOVER ZUR ERLAN&UNS DCS GRADES
EINES DOHOR-INGENIEUR GENEHMIGTE DISSERTATION VON M.SC. HONGWU ZHANG
HANNOVER 2001 TAG DER EINREICHUNG: 10.10.2000 TAG DER MUNDL. PRQFUNG:
19.12.2000 INSUTUTFOR UND NUNWRISCH* UTECHANIK CONTENTS 1 INTRODUCTION 5
1.1 INTRODUCTION 5 1.2 OUTLINE OF THE THESIS 11 2 MECHANICAL AND
MATHEMATICAL BACKGROUND FOR ANALYSIS OF SATURATED AND PARTIALLY
SATURATED POROUS MEDIA 15 2.1 INTRODUCTION 15 2.2 MACROSCOPIC BALANCE
EQUATIONS 15 2.2.1 AVERAGING PRINCIPLES 15 2.2.2 KINEMATIC EQUATIONS 17
2.3 MACROSCOPIC BALANCE EQUATIONS 19 2.3.1 MASS BALANCE EQUATIONS 20
2.3.2 LINEAR MOMENTUM BALANCE EQUATIONS 23 2.3.3 ANGULAR MOMENTUM
BALANCE EQUATIONS 24 2.3.4 BALANCE OF ENERGY EQUATION 25 2.3.5 ENTROPY
INEQUALITY 25 2.4 GENERAL CONSTITUTIVE EQUATIONS 26 2.4.1 STRESS TENSOR
IN THE FLUID PHASES 26 2.4.2 GASEOUS MIXTURE OF DRY AND WATER VAPOUR 27
2.4.3 EQUATION FOR SORPTION EQUILIBRIUM 27 2.4.4 CLAUSIUS-CLAPEYRON
EQUATION 29 2.4.5 STATE EQUATION OF WATER 29 2.4.6 DARCY S LAW 30 2.4.7
FICK S LAW 32 2.4.8 STRESS TENSOR IN SOLID PHASE AND TOTAL STRESS 33
2.4.9 SOLID DENSITY 34 2.4.10 FOURIER S LAW 35 2.5 GENERAL REID
EQUATIONS 36 2.5.1 MASS BALANCE EQUATION 36 2.5.2 LINEAR MOMENTUM
BALANCE EQUATIONS 41 2.5.3 SUMMARY OF GOVERNING EQUATIONS 46 2 CONTENTS
3 SIMPLIFIED MODEL FOR PHYSICAL APPROACH AND THE FINITE ELEMENT
FORMULATION 49 3.1 INTRODUCTION 49 3.2 INITIAL AND BOUNDARY CONDITIONS
49 3.3 AN ISOTHERMAL TWO-PHASE APPROACH FOR CAVITATION MODELLING 50 3.4
FINITE ELEMENT DISCRETIZATION AND SOLUTION 52 4 UNIQUENESS AND
BIFURCATION ANALYSIS FOR STRAIN LOCALISATION OF POROUS MEDIA SI 4.1
INTRODUCTION 57 4.2 DYNAMIC GOVERNING EQUATIONS AND ELASTIC-PLASTIC
CONSTITUTIVE MODEL 58 4.2.1 SIMPLIFIED GOVERNING EQUATIONS 58 4.2.2
ELASTIC-PLASTIC CONSTITUTIVE EQUATIONS 59 4.3 UNIQUENESS AND
LOCALISATION ANAYSIS FOR SINGLE PHASE MATERIALS 60 4.4 LOCALISATION
ANALYSIS FOR SATURATED POROUS MEDIA UNDER UNDRAINED CONDITIONS 64 4.4.1
GENERAL FORMULATION FOR LOCALISATION ANALYSIS AND CRITICAL HARDENING
MODULUS 64 4.4.2 EXPLICIT SOLUTION OF CRITICAL HARDENING MODULUS 66 4.5
UNIQUENESS ANALYSIS, SECOND ORDER WORK CRITERIA 73 4.6 SOME SPECIAL
CASES 75 4.7 SIMPLE SOLUTION FOR MOHR-COULOMB MODEL 76 4.8 DISCUSSION
ABOUT DRAINED CONDITIONS 77 5 DYNAMIC STABILITY ANALYSIS AND INTERNAL
LENGTH SCALE HI STRAIN LOCALISATION ANALYSIS OF POROUS MEDIA 83 5.1
INTRODUCTION 83 5.2 STABILITY ANALYSIS FOR A FULLY SATURATED POROUS
MEDIA 85 5.2.1 CHARACTERISTIC EQUATION 85 5.2.2 STABILITY ANALYSIS 87
5.3 STABILITY ANALYSIS FOR A FULLY AND PARTIALLY SATURATED POROUS MEDIA
88 5.3.1 CHARACTERISTIC EQUATION 88 5.3.2 STABILITY ANALYSIS 90 5.3.3
SOLUTION OF CHARACTERISTIC EQUATION 90 5.4 INTERNAL LENGTH SCALE
PREDICTION 94 5.4.1 GENERAL DISCUSSION ABOUT THE DOMAIN OF HYPERBOLICITY
94 5.4.2 EXPLICIT SOLUTION OF INTERNAL LENGTH SCALE 101 5.4.3 LIMIT
STATE: INCOMPRESSIBLE FLUID 104 CONTENTS 3 5.5 DISCUSSION ABOUT SINGLE
PHASE PROBLEMS 106 5.5.1 WAVE PROPAGATION IN A RATE-DEPENDENT SOLID BAR
106 5.5.2 STABILITY ANALYSIS OF SINGLE PHASE PROBLEM 106 5.5.3 LENGTH
SCALE PREDICTION 108 5.5.4 NEEDLEMAN RATE-DEPENDENT MODEL 109 5.6
INTERNAL LENGTH SCALE FOR MULTIDIMENSIONAL PROBLEMS 110 5.7 NUMERICAL
EXAMPLES 112 6 GENERALIZED CONSTITUTIVE MODEL BASED STRAIN LOCALISATION
ANALYSIS 121 6.1 INTRODUCTION 121 6.2 GENERALIZED PLASTICITY THEORY 121
6.3 PASTOR-ZIENKIEWICZ GENERALIZED PLASTICITY SAND MODEL 124 6.4
TRANSFORMATION FROM DEFINING SPACE TO CARTESIAN STRESS SPACE 127 6.5
UNIQUENESS AND LOCALISATION ANALYSIS 128 6.6 MODIFIED PASTOR-ZIENKIEWICZ
MODEL FOR PARTIALLY SATURATED POROUS MEDIA. 135 6.7 INITIAL STATIC
SOLUTION FOR GENERALIZED PLASTICITY MODEL 138 6.8 NUMERICAL RESULTS 139
7 GRADIENT DEPENDENT MODEL AND INTERACTION BETWEEN DIFFERENT INTERNAL
LENGTH PARAMETERS IN STRAIN LOCALISATION ANALYSIS OF POROUS MEDIA 163
7.1 INTRODUCTION 163 7.2 GOVERNING EQUATIONS WITH GRADIENT DEPENDENT
MODEL FOR FULLY AND PARTIALLY SATURATED POROUS MEDIA 164 7.3 LINEAR
STABILITY ANALYSIS WITH GRADIENT-DEPENDENT PLASTICITY MODEL 165 7.4
INTERACTION BETWEEN GRADIENT DEPENDENT PARAMETER AND PERMEABILITY 168
7.5 A SHORT DISCUSSION ABOUT SINGLE PHASE PROBLEM WITH BOTH
VISCO-PLASTICITY AND GRADIENT DEPENDENT MODEL 186 7.6 PARAMETRIC
VARIATIONAL PRINCIPLE AND MATHEMATICAL PROGRAMMING SOLUTION 196 7.7
NUMERICAL ILLUSTRATION 199 8 CONCLUDING REMARKS AND FURTHER WORK 211 8.1
CONCLUDING REMARKS 211 8.2 FURTHER WORK 213 REFERENCES 215
|
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| indexdate | 2024-07-09T18:54:58Z |
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| isbn | 3980725960 |
| language | English |
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| series2 | Institut für Baumechanik und Numerische Mathematik, Universität Hannover : F |
| spelling | Zhang, Hongwu 1964- Verfasser (DE-588)123114748 aut Strain localisation analysis for fully and partially saturated geomaterials von Hongwu Zhang Hannover IBNm 2001 226 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Institut für Baumechanik und Numerische Mathematik, Universität Hannover : F [20]01,2 Zugl.: Hannover, Univ., Diss., 2000 Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Poröser Stoff (DE-588)4046811-2 gnd rswk-swf Verzerrung (DE-588)4188172-2 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Poröser Stoff (DE-588)4046811-2 s Verzerrung (DE-588)4188172-2 s Finite-Elemente-Methode (DE-588)4017233-8 s DE-604 Institut für Baumechanik und Numerische Mathematik, Universität Hannover F ; [20]01,2 (DE-604)BV012930351 2001,2 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009546970&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zhang, Hongwu 1964- Strain localisation analysis for fully and partially saturated geomaterials Institut für Baumechanik und Numerische Mathematik, Universität Hannover Finite-Elemente-Methode (DE-588)4017233-8 gnd Poröser Stoff (DE-588)4046811-2 gnd Verzerrung (DE-588)4188172-2 gnd |
| subject_GND | (DE-588)4017233-8 (DE-588)4046811-2 (DE-588)4188172-2 (DE-588)4113937-9 |
| title | Strain localisation analysis for fully and partially saturated geomaterials |
| title_auth | Strain localisation analysis for fully and partially saturated geomaterials |
| title_exact_search | Strain localisation analysis for fully and partially saturated geomaterials |
| title_full | Strain localisation analysis for fully and partially saturated geomaterials von Hongwu Zhang |
| title_fullStr | Strain localisation analysis for fully and partially saturated geomaterials von Hongwu Zhang |
| title_full_unstemmed | Strain localisation analysis for fully and partially saturated geomaterials von Hongwu Zhang |
| title_short | Strain localisation analysis for fully and partially saturated geomaterials |
| title_sort | strain localisation analysis for fully and partially saturated geomaterials |
| topic | Finite-Elemente-Methode (DE-588)4017233-8 gnd Poröser Stoff (DE-588)4046811-2 gnd Verzerrung (DE-588)4188172-2 gnd |
| topic_facet | Finite-Elemente-Methode Poröser Stoff Verzerrung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009546970&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT zhanghongwu strainlocalisationanalysisforfullyandpartiallysaturatedgeomaterials |