Mortar type methods applied to nonlinear contact mechanics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Hannover
IBNM
2005
|
| Schriftenreihe: | Research reports / Institut für Baumechanik und Numerische Mechanik, Universität Hannover : F
[20]05,2 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Zugl.: Hannover, Univ., Diss., 2005 |
| Beschreibung: | VII, 152 S. graph. Darst. |
| ISBN: | 3935732147 |
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| 245 | 1 | 0 | |a Mortar type methods applied to nonlinear contact mechanics |c von K. A. Fischer |
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Datensatz im Suchindex
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|---|---|
| adam_text | HAUPTREFERENT: PROF. DR.-ING. P. WHGGERS KORREFERENT: PROF. DR.-LNG. G.
ZAVARISE DOKTORANDIN: DIP!.-ING. K. A. FISCHER M ORTAR TYPE METHODS
APPLIED TO NONLINEAR CONTACT MECHANICS VON DER FAKULTAT FIIR
BAUINGENIEURWESEN UND GEODASIE DER UNIVERSITAT HANNOVER ZUR ERIANGUNG
DES GRADES EINER DOKLOR-INGENIEURIN GENEHMIGTE DISSERTATION VON
DIPT.-ING. K.A. FISCHER HANNOVER 2005 TAG DER EINREICHUNG: 19.04.2005
TAG DER MIINDL. PRUFUNG: 15.07.2005 INSTITUT FUR BAUMECHANIK UND
NUMERISCHE MECHANIK INTENTS INTRODUCTION 1 *1.1 PLACEMENT, MOTIVATION &
AIM OF WORK 1 1.2 STRUCTURE OF THE THESIS 3 CONTINUUM SOLID MECHANICS 5
2.1 KINEMATICS 5 2.1.1 BODY AND MOTION 6 2.1.2 CONVECTIVE COORDINATES 7
2.1.3 TRANSFORMATIONS 9 2.2 BALANCE LAWS 11 2.2.1 BALANCE OF MASS 12
2.2.2 BALANCE OF MOMENTUM 12 2.2.3 BALANCE OF ANGULAR MOMENTUM 13 2.2.4
FIRST LAW OF THERMODYNAMICS 14 2.2.5 SECOND LAW OF THERMODYNAMICS 15
2.2.6 TRANSFORMATIONS OF STRESSES 17 2.3 CONSTITUTIVE MATERIAL EQUATIONS
18 CONTACT KINEMATICS 21 3.1 NORMAL CONTACT 22 3.2 TANGENTIAL CONTACT 24
3.2.1 STICK CASE 24 3.2.2 SLIP CASE 25 3.2.3 THE POINT OF PROJECTION 25
CONTACT INTERFACE CONSTRAINTS 29 4.1 NORMAL CONTACT 30 4.2 TANGENTIAL
CONTACT 30 CONTACT BOUNDARY VALUE PROBLEM & VARIATIONAL FORMULATIONS 35
5.1 FIRST LAW OF THERMODYNAMICS IN THE CONTACT INTERFACE 36 5.2 SECOND
LAW OF THERMODYNAMICS IN THE CONTACT INTERFACE 37 5.3 VARIATIONAL
DESCRIPTION OF CONTACT 39 5.4 TREATMENT OF THE CONTACT CONSTRAINTS 41
5.4.1 TOTAL FORMULATION 41 CONTENTS 5.4.2 SPLIT FORMULATION 42 5.5
LAGRANGE MULTIPLIER METHOD 44 5.5.1 SPLIT FORMULATION 44 5.5.2 TOTAL
FORMULATION 45 5.6 PENALTY METHOD 46 5.6.1 SPLIT FORMULATION 47 5.6.2
TOTAL FORMULATION 48 5.7 UPDATE OF THE PROJECTION POINT 48 6 FINITE
ELEMENT DISCRETIZATION 49 6.1 FRICTIONLESS CONTACT FORMULATIONS 51 6.1.1
GEOMETRICAL APPROACH 52 6.1.2 KEEPING THE MINIMAL DISTANCE 52 6.1.3
LINEARIZED LAGRANGE MULTIPLIER METHOD 53 6.1.4 LINEARIZED PENALTY METHOD
54 6.1.5 VARIATION AND LINEARIZATION OF CONTACT VARIABLES 54 6.2
FRICTIONAL CONTACT FORMULATION 55 6.2.1 MODIFIED GEOMETRICAL APPROACH TO
CONTACT KINEMATICS 56 6.2.2 CONTACT INTERFACE RESTRICTIONS 57 6.2.3
MOVING CONE DESCRIPTION 58 6.2.4 LINEARIZATION 60 7 DIFFERENT MORTAR
BASED FINITE ELEMENT DISCRETIZATION TECHNIQUES 63 7.1 ASSEMBLY OF MORTAR
TYPE FINITE ELEMENTS 66 7.2 LINEAR APPROXIMATION FOR THE FRICTIONLESS
CASE 68 7.2.1 FINITE ELEMENT INTERPOLATIONS 68 7.2.2 LOCATING CONTACT
PAIRINGS 70 7.2.3 MATRIX NOTATION 72 7.3 QUADRATIC APPROXIMATION FOR THE
FRICTIONLESS CASE 76 7.3.1 FINITE ELEMENT INTERPOLATIONS 76 7.3.2
LOCATING CONTACT PAIRINGS 77 7.3.3 MATRIX NOTATION 78 7.4 QUADRATIC
APPROXIMATION FOR THE FRICTIONAL CASE 82 7.4.1 FINITE ELEMENT
INTERPOLATIONS 82 7.4.2 LOCATING CONTACT PAIRINGS 82 7.4.3 MATRIX
NOTATION 83 8 SOLUTION ALGORITHM 85 8.1 SEARCH FOR CONTACT AND DETECTION
86 8.1.1 SEARCH FOR POTENTIAL CONTACT PAIRINGS 86 8.1.2 DETECTION OF
ACTIVE CONTACT PAIRINGS 88 8.2 GLOBAL SOLUTION ALGORITHMS 95 CONTENTS
VII 9 NUMERICAL EXAMPLES 101 9.1 CONTACT PATCH TEST 102 9.2 EXAMPLE FOR
ACCURACY OF INTEGRATION 109 9.3 CONTACT BETWEEN AN ELASTIC RING AND A
FOUNDATION 113 9.4 EXAMPLE FOR FRICTIONLESS SLIDING 116 9.5 DISC IN DISC
120 9.6 PLUG-IN PROBLEM 122 9.7 FRICTIONAL SLIDING OF AN ELASTIC BLOCK
126 9.8 IRONING PROBLEM 130 9.9 SLIDING TREAD BLOCK 134 10 CONCLUSION
139 A TIME DERIVATIONS, VARIATIONS AND LINEARIZATIONS 143 A.I TIME
DERIVATIVE OF N M 143 A.2 VARIATION OF G N 144 A.2.1 TOTAL FORMULATION
144 A.2.2 SPLIT FORMULATION 144 CURRICULUM VITAE 152 RESEARCH REPORTS,
IBNM 154
|
| adam_txt |
HAUPTREFERENT: PROF. DR.-ING. P. WHGGERS KORREFERENT: PROF. DR.-LNG. G.
ZAVARISE DOKTORANDIN: DIP!.-ING. K. A. FISCHER M ORTAR TYPE METHODS
APPLIED TO NONLINEAR CONTACT MECHANICS VON DER FAKULTAT FIIR
BAUINGENIEURWESEN UND GEODASIE DER UNIVERSITAT HANNOVER ZUR ERIANGUNG
DES GRADES EINER DOKLOR-INGENIEURIN GENEHMIGTE DISSERTATION VON
DIPT.-ING. K.A. FISCHER HANNOVER 2005 TAG DER EINREICHUNG: 19.04.2005
TAG DER MIINDL. PRUFUNG: 15.07.2005 INSTITUT FUR BAUMECHANIK UND
NUMERISCHE MECHANIK INTENTS INTRODUCTION 1 *1.1 PLACEMENT, MOTIVATION &
AIM OF WORK 1 1.2 STRUCTURE OF THE THESIS 3 CONTINUUM SOLID MECHANICS 5
2.1 KINEMATICS 5 2.1.1 BODY AND MOTION 6 2.1.2 CONVECTIVE COORDINATES 7
2.1.3 TRANSFORMATIONS 9 2.2 BALANCE LAWS 11 2.2.1 BALANCE OF MASS 12
2.2.2 BALANCE OF MOMENTUM 12 2.2.3 BALANCE OF ANGULAR MOMENTUM 13 2.2.4
FIRST LAW OF THERMODYNAMICS 14 2.2.5 SECOND LAW OF THERMODYNAMICS 15
2.2.6 TRANSFORMATIONS OF STRESSES 17 2.3 CONSTITUTIVE MATERIAL EQUATIONS
18 CONTACT KINEMATICS 21 3.1 NORMAL CONTACT 22 3.2 TANGENTIAL CONTACT 24
3.2.1 STICK CASE 24 3.2.2 SLIP CASE 25 3.2.3 THE POINT OF PROJECTION 25
CONTACT INTERFACE CONSTRAINTS 29 4.1 NORMAL CONTACT 30 4.2 TANGENTIAL
CONTACT 30 CONTACT BOUNDARY VALUE PROBLEM & VARIATIONAL FORMULATIONS 35
5.1 FIRST LAW OF THERMODYNAMICS IN THE CONTACT INTERFACE 36 5.2 SECOND
LAW OF THERMODYNAMICS IN THE CONTACT INTERFACE 37 5.3 VARIATIONAL
DESCRIPTION OF CONTACT 39 5.4 TREATMENT OF THE CONTACT CONSTRAINTS 41
5.4.1 TOTAL FORMULATION 41 CONTENTS 5.4.2 SPLIT FORMULATION 42 5.5
LAGRANGE MULTIPLIER METHOD 44 5.5.1 SPLIT FORMULATION 44 5.5.2 TOTAL
FORMULATION 45 5.6 PENALTY METHOD 46 5.6.1 SPLIT FORMULATION 47 5.6.2
TOTAL FORMULATION 48 5.7 UPDATE OF THE PROJECTION POINT 48 6 FINITE
ELEMENT DISCRETIZATION 49 6.1 FRICTIONLESS CONTACT FORMULATIONS 51 6.1.1
GEOMETRICAL APPROACH 52 6.1.2 KEEPING THE MINIMAL DISTANCE 52 6.1.3
LINEARIZED LAGRANGE MULTIPLIER METHOD 53 6.1.4 LINEARIZED PENALTY METHOD
54 6.1.5 VARIATION AND LINEARIZATION OF CONTACT VARIABLES 54 6.2
FRICTIONAL CONTACT FORMULATION 55 6.2.1 MODIFIED GEOMETRICAL APPROACH TO
CONTACT KINEMATICS 56 6.2.2 CONTACT INTERFACE RESTRICTIONS 57 6.2.3
MOVING CONE DESCRIPTION 58 6.2.4 LINEARIZATION 60 7 DIFFERENT MORTAR
BASED FINITE ELEMENT DISCRETIZATION TECHNIQUES 63 7.1 ASSEMBLY OF MORTAR
TYPE FINITE ELEMENTS 66 7.2 LINEAR APPROXIMATION FOR THE FRICTIONLESS
CASE 68 7.2.1 FINITE ELEMENT INTERPOLATIONS 68 7.2.2 LOCATING CONTACT
PAIRINGS 70 7.2.3 MATRIX NOTATION 72 7.3 QUADRATIC APPROXIMATION FOR THE
FRICTIONLESS CASE 76 7.3.1 FINITE ELEMENT INTERPOLATIONS 76 7.3.2
LOCATING CONTACT PAIRINGS 77 7.3.3 MATRIX NOTATION 78 7.4 QUADRATIC
APPROXIMATION FOR THE FRICTIONAL CASE 82 7.4.1 FINITE ELEMENT
INTERPOLATIONS 82 7.4.2 LOCATING CONTACT PAIRINGS 82 7.4.3 MATRIX
NOTATION 83 8 SOLUTION ALGORITHM 85 8.1 SEARCH FOR CONTACT AND DETECTION
86 8.1.1 SEARCH FOR POTENTIAL CONTACT PAIRINGS 86 8.1.2 DETECTION OF
ACTIVE CONTACT PAIRINGS 88 8.2 GLOBAL SOLUTION ALGORITHMS 95 CONTENTS
VII 9 NUMERICAL EXAMPLES 101 9.1 CONTACT PATCH TEST 102 9.2 EXAMPLE FOR
ACCURACY OF INTEGRATION 109 9.3 CONTACT BETWEEN AN ELASTIC RING AND A
FOUNDATION 113 9.4 EXAMPLE FOR FRICTIONLESS SLIDING 116 9.5 DISC IN DISC
120 9.6 PLUG-IN PROBLEM 122 9.7 FRICTIONAL SLIDING OF AN ELASTIC BLOCK
126 9.8 IRONING PROBLEM 130 9.9 SLIDING TREAD BLOCK 134 10 CONCLUSION
139 A TIME DERIVATIONS, VARIATIONS AND LINEARIZATIONS 143 A.I TIME
DERIVATIVE OF N M 143 A.2 VARIATION OF G N 144 A.2.1 TOTAL FORMULATION
144 A.2.2 SPLIT FORMULATION 144 CURRICULUM VITAE 152 RESEARCH REPORTS,
IBNM 154 |
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| id | DE-604.BV021272218 |
| illustrated | Illustrated |
| index_date | 2024-07-02T13:44:49Z |
| indexdate | 2024-07-09T20:34:22Z |
| institution | BVB |
| isbn | 3935732147 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014593321 |
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| physical | VII, 152 S. graph. Darst. |
| publishDate | 2005 |
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| series2 | Research reports / Institut für Baumechanik und Numerische Mechanik, Universität Hannover : F |
| spelling | Fischer, Kathrin Anita Verfasser aut Mortar type methods applied to nonlinear contact mechanics von K. A. Fischer Hannover IBNM 2005 VII, 152 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Research reports / Institut für Baumechanik und Numerische Mechanik, Universität Hannover : F [20]05,2 Zugl.: Hannover, Univ., Diss., 2005 Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Kontaktmechanik (DE-588)4798356-5 gnd rswk-swf Reibung (DE-588)4049098-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Kontaktmechanik (DE-588)4798356-5 s Reibung (DE-588)4049098-1 s Finite-Elemente-Methode (DE-588)4017233-8 s DE-604 Institut für Baumechanik und Numerische Mechanik, Universität Hannover Research reports F ; [20]05,2 (DE-604)BV012930351 2005,2 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014593321&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fischer, Kathrin Anita Mortar type methods applied to nonlinear contact mechanics Finite-Elemente-Methode (DE-588)4017233-8 gnd Kontaktmechanik (DE-588)4798356-5 gnd Reibung (DE-588)4049098-1 gnd |
| subject_GND | (DE-588)4017233-8 (DE-588)4798356-5 (DE-588)4049098-1 (DE-588)4113937-9 |
| title | Mortar type methods applied to nonlinear contact mechanics |
| title_auth | Mortar type methods applied to nonlinear contact mechanics |
| title_exact_search | Mortar type methods applied to nonlinear contact mechanics |
| title_exact_search_txtP | Mortar type methods applied to nonlinear contact mechanics |
| title_full | Mortar type methods applied to nonlinear contact mechanics von K. A. Fischer |
| title_fullStr | Mortar type methods applied to nonlinear contact mechanics von K. A. Fischer |
| title_full_unstemmed | Mortar type methods applied to nonlinear contact mechanics von K. A. Fischer |
| title_short | Mortar type methods applied to nonlinear contact mechanics |
| title_sort | mortar type methods applied to nonlinear contact mechanics |
| topic | Finite-Elemente-Methode (DE-588)4017233-8 gnd Kontaktmechanik (DE-588)4798356-5 gnd Reibung (DE-588)4049098-1 gnd |
| topic_facet | Finite-Elemente-Methode Kontaktmechanik Reibung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014593321&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT fischerkathrinanita mortartypemethodsappliedtononlinearcontactmechanics |