Cellular and porous materials in structures and processes:
Gespeichert in:
| Weitere Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Wien [u.a.]
Springer
2010
|
| Schriftenreihe: | Courses and lectures
521 |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | 334 S. Ill., graph. Darst. |
| ISBN: | 3709102960 9783709102961 |
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Datensatz im Suchindex
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IMAGE 1
INTERNATIONAL CENTREFOR MECHANICAL SCIENCES
COURSES AND LECTURES - NO. 521
CELLULARAND POROUS MATERIALS IN STRUCTURES AND PROCESSES
EDITED BY
HOLMALTENBACH
MARTIN-LUTHER-UNIVERSITAT, HALLE-WITTENBERG, GERMANY
ANDREAS OCHSNER
TECHNICAL UNIVERSITY OF MALAYSIA,MALAYSIA
TECHNISCHE
INFORMATION; -^'JOTHEK UNIVERSITATSI: 3LIOTHEK HANNOVER
SPRINGERWIEN NEWYORK
IMAGE 2
CONTENTS
FRACTURE MECHANICS OF FOAMS BY L. MARSAVINA 1
1 FUNDAMENTALS OF FRACTURE MECHANICS 1
1.1 INTRODUCTION 1
1.2 LINEAR ELASTIC FRACTURE MECHANICS 3
1.3 CRACK TIP STRESS AND DISPLACEMENT FIELDS IN ANISO
TROPIC MATERIALS 12
2 EXPERIMENTAL DETERMINATION OF FRACTURE TOUGH NESS OF FOAM MATERIALS
16
2.1 TEAR TEST FOR FLEXIBLE CELLULAR MATERIALS 17
2.2 STANDARD TEST METHODS FOR PLANE-STRAIN FRACTURE
TOUGHNESS AND STRAIN ENERGY RELEASE RATE OFPLA STIC MATERIALS 18
2.3 FRACTURE TOUGHNESS EXPERIMENTAL RESULTS . 24 2.4 IMPACT FRACTURE
TOUGHNESS 29
3 MICROMECHANICAL MODELS FOR FOAMS FRACTURE 34
4 CONCLUDING REMARKS 42
BIBLIOGRAPHY 43
FINITE ELEMENT MODELING OF FOAMS BY TH. DAXNER 47
1 INTRODUCTION 47
2 HOMOGENIZATION AND THE UNIT CELL METHOD 49
3 MICRO-MECHANICAL FINITE ELEMENT MODELS
OF CELLULAR MATERIALS 57
3.1 INTRODUCTION 57
IMAGE 3
3.2 OPEN-CELL FOAMS 63
3.3 CLOSED-CELL FOAMS 67
3.4 OPEN-CELL FOAMS WITH HOLLOW STMTS 72
4 MICRO-MECHANICAL MODELS - METHODS AND RE
SULTS 73
4.1 ELASTIC PROPERTIES 74
4.2 YIELDING 75
4.3 BUCKLING 80
4.4 DENSIFICATION 91
4.5 FRACTURE 93
5 OPTIMIZATION OF FOAM DENSITY DISTRIBUTION 96
6 SUMMARY 98
BIBLIOGRAPHY 98
PLASTICITY OF THREE-DIMENSIONAL FOAMS
BY A. OCLMIER 107
1 FUNDAMENTALS OF CONTINUUM MECHANICS 107 1.1 STRESS TENSOR AND
DECOMPOSITION 107
1.2 INVARIANTS 109
1.3 CONSTITUTIVE EQUATIONS 112
1.4 LINEAR ELASTIC BEHAVIOUR: GENERALISED HOOKE'S
LAW FOR ISOTROPIC MATERIALS 113
2 CONSTITUTIVE RELATIONSHIPS FOR PRESSURE SENSITIVE MATERIALS:
SYSTEMATIC OVERVIEW 119
3 SIMPLE CUBIC CELL MODELS BASED ON BEAMS AND SHELLS FOR OPEN AND CLOSED
CELL MATERIALS 129 3.1 RELATIVE DENSITY 133
3.2 GEOMETRICAL MOMENT OF INERTIA 135
3.3 YOUNG'S MODULUS 135
3.4 SHEAR MODULUS AND POISSON'S RATIO 136
IMAGE 4
3.5 YIELD STRESS 140
4 PROCEDURES TO DETERMINE THE INFLUENCE OF THE HYDROSTATIC STRESS ON THE
YIELD BEHAVIOUR 141
5 IMPLEMENTATION OF NEW CONSTITUTIVE EQUATIONS INTO COMMERCIAL FINITE
ELEMENT CODES 146 5.1 ONE-DIMENSIONAL DRUCKER-PRAGER YIELD CONDITION 146
5.2 INTEGRATION OF THE CONSTITUTIVE EQUATIONS 148 5.3 MATHEMATICAL
DERIVATION OF THE FULLY IMPLICIT
BACKWARD EULER ALGORITHM 152
5.4 EXAMPLE PROBLEM: RETURN MAPPING FOR IDEAL PLAS
TICITY AND LINEAR HARDENING 158
BIBLIOGRAPHY 164
THIN-WALLED STRUCTURES MADE OF FOAMS BY H. ALTENBACH AND V.A. EREMEYEV
167
1 INTRODUCTION 168
1.1 PLATES AS STRUCTURAL ELEMENTS 168
1.2 FOAMS AS A MATERIAL FOR STRUCTURAL ELEMENTS . . . 169
2 DIRECT TWO-DIMENSIONAL PLATE THEORY 171 2.1 CLASSICAL APPROACHES IN
TIRE PLATE THEORY 171 2.2 GOVERNING EQUATIONS 173
2.3 MATERIAL-INDEPENDENT EQUATIONS 174
2.4 TWO-DIMENSIONAL CONSTITUTIVE EQUATIONS 175 2.5 BASIC EQUATIONS IN
CARTESIAN COORDINATES . 176
3 STIFFNESS IDENTIFICATION 179
3.1 ORTHOTROPIC MATERIAL BEHAVIOR 180
3.2 CLASSICAL STIFFNESS VALUES 181
3.3 NON-CLASSICAL STIFFNESS VALUES 183
3.4 SPECIAL CASE - ISOTROPIC BEHAVIOR 185
IMAGE 5
4 EXAMPLES OF EFFECTIVE STIFFNESS PROPERTIES ESTI MATES 186
4.1 HOMOGENEOUS PLATE 186
4.2 CLASSICAL SANDWICH PLATE IN REISSNER'S SENSE . . . 187
4.3 FUNCTIONALLY GRADED MATERIALS AND FOAMS . 188
4.4 ON THE PLATES MADE OF NANOFOAMS 193
5 SYMMETRIC ORTHOTROPIC PLATE - STATIC CASE 196 5.1 BENDING PROBLEM -
ONE-DIMENSIONAL CASE . 198
5.2 BENDING PROBLEM - TWO-DIMENSIONAL CASE . 198
5.3 BENDING OF AN ISOTROPIC PLATE 199
5.4 BENDING OF AN ELASTIC PLATE MADE OF FGM (SYM
METRIC CASE) 200
6 DYNAMICS OF PLATES MADE OF AN ELASTIC FOAM 201 6.1 EQUATIONS OF MOTION
FOR A SYMMETRIC ISOTROPIC
PLATE 201
6.2 FREE OSCILLATIONS AND DISPERSION CURVES OF A RECT
ANGULAR PLATE 203
7 PLATE MADE OF A LINEAR VISCOELASTIC MATERIAL 209 7.1 CONSTITUTIVE
EQUATIONS 209
7.2 EFFECTIVE PROPERTIES 210
7.3 BOUNDS FOR THE EIGEN-VALUES 214
7.4 QUASI-STATIC BEHAVIOR OF A SYMMETRIC ORTHOTROPIC PLATE 215
7.5 EXAMPLES OF EFFECTIVE STIFFNESS RELAXATION FUNCTIONS 217
7.6 BENDING OF A VISCOELASTIC PLATE 222
8 PLATE THEORY DEDUCED FROM THE COSSERAT CON TINUUM 226
8.1 TWO-DIMENSIONAL GOVERNING EQUATIONS 226 8.2 REDUCTION OF
THETHREE-DIMENSIONAL MICROPOLAR EQUATIONS 228
9 SUMMARY 232
BIBLIOGRAPHY 234
IMAGE 6
PLASTICITY OF POROUS AND POWDER METALS BY S. ALEXANDOV 243
1 INTRODUCTION 243
2 FUNDAMENTALS OF THE THEORY OF PLASTICITY 245 2.1 RIGID
PERFECTLY/PLASTIC SOLIDS 245
2.2 RIGID PLASTIC HARDENING SOLIDS 252
2.3 RIGID VISCOPLASTIC SOLIDS 253
2.4 MAXIMUM FRICTION LAW AND SINGULAR VELOCITY FIELDS (RIGID
PERFECTLY/PLASTIC MATERIAL) 254 2.5 MAXIMUM FRICTION LAW AND OTHER
MODELS OF
PRESSURE-INDEPENDENT PLASTICITY 261
3 PLASTICITY THEORY FOR POROUS AND POWDER METALS BASED ON THE ASSOCIATED
FLOW RULE 262
3.1 PRELIMINARIES 262
3.2 YIELD CRITERIA AND THE ASSOCIATED FLOW RULE FOR
POROUS AND POWDER MATERIALS 265
3.3 ADDITIONAL REMARKS ON TIRE YIELD CRITERIA 270
3.4 SIMPLE ANALYTIC EXAMPLE 271
4 PLASTICITY THEORY FOR POROUS AND POWDER METALS BASED ON NON-ASSOCIATED
FLOW RULES 277
4.1 STRESS EQUATIONS 277
4.2 KINEMATIC THEORIES 280
4.3 THE COAXIAL MODEL 281
4.4 THE DOUBLE-SHEARING MODEL 282
4.5 THE DOUBLE-SLIP AND ROTATION MODEL 284
5 QUALITATIVE BEHAVIOR OF PLASTIC SOLUTIONS FOR POROUS AND POWDER METALS
IN THE VICINITY OF FRICTIONAL INTERFACES 285
5.1 PRELIMINARIES 285
5.2 STATEMENT OF THE PROBLEM 285
IMAGE 7
5.3 SOLUTION FOR STRESSES 289
5.4 SOLUTIONS FOR VELOCITIES 290
5.5 FACTIONAL BOUNDARY CONDITION 292
5.G SOLUTION FOR PRESSURE-INDEPENDENT PLASTICITY . . . 299 5.7
SINGULARITY IN VELOCITY FIELDS 300
6 APPLICATIONS 302
BIBLIOGRAPHY 305
IMPACT OF CELLULAR MATERIALS /,,/ //. TAN AND S. QU 309
1 INTRODUCTION 309
2 WAVE PROPAGATION IN A CELLULAR ROD 311
3 RIGID OBJECT STRIKES ON A CELLULAR ROD OF FIXED END 316
3.1 BASIC ASSUMPTIONS 316
3.2 SHOCK WAVE ANALYSIS 317
4 RIGID OBJECT STRIKES ON A FREE CELLULAR ROD 325
5 CONCLUDING REMARKS 333
BIBLIOGRAPHY 333 |
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| spelling | Cellular and porous materials in structures and processes ed. by Holm Altenbach ... Wien [u.a.] Springer 2010 334 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Courses and lectures 521 Ingenieurwissenschaften Mathematik Poröser Stoff (DE-588)4046811-2 gnd rswk-swf Vielzellwerkstoff (DE-588)4499955-0 gnd rswk-swf Porous materials Metal foams / Structure Plastic foams / Structure Mathematics / Applied Mechanical engineering ; Computer aided design (CAD) Technology / Engineering / Mechanical Engineering mathematics / Materials Mechanical engineering / Engineering (DE-588)1071861417 Konferenzschrift gnd-content Poröser Stoff (DE-588)4046811-2 s Vielzellwerkstoff (DE-588)4499955-0 s DE-604 Altenbach, Holm 1956- (DE-588)121656837 edt Erscheint auch als Online-Ausgabe 978-3-7091-0297-8 Courses and lectures 521 (DE-604)BV000015032 521 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3480824&prov=M&dok_var=1&dok_ext=htm Inhaltstext GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021161369&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cellular and porous materials in structures and processes Courses and lectures Ingenieurwissenschaften Mathematik Poröser Stoff (DE-588)4046811-2 gnd Vielzellwerkstoff (DE-588)4499955-0 gnd |
| subject_GND | (DE-588)4046811-2 (DE-588)4499955-0 (DE-588)1071861417 |
| title | Cellular and porous materials in structures and processes |
| title_auth | Cellular and porous materials in structures and processes |
| title_exact_search | Cellular and porous materials in structures and processes |
| title_full | Cellular and porous materials in structures and processes ed. by Holm Altenbach ... |
| title_fullStr | Cellular and porous materials in structures and processes ed. by Holm Altenbach ... |
| title_full_unstemmed | Cellular and porous materials in structures and processes ed. by Holm Altenbach ... |
| title_short | Cellular and porous materials in structures and processes |
| title_sort | cellular and porous materials in structures and processes |
| topic | Ingenieurwissenschaften Mathematik Poröser Stoff (DE-588)4046811-2 gnd Vielzellwerkstoff (DE-588)4499955-0 gnd |
| topic_facet | Ingenieurwissenschaften Mathematik Poröser Stoff Vielzellwerkstoff Konferenzschrift |
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