Boundary element methods in manufacturing:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford [u.a.]
Univ. Press
1997
|
| Schriftenreihe: | The Oxford engineering science series
47 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVI, 508 S. graph. Darst. |
| ISBN: | 0195079213 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV011754517 | ||
| 003 | DE-604 | ||
| 005 | 20120404 | ||
| 007 | t| | ||
| 008 | 980205s1997 xx d||| |||| 00||| eng d | ||
| 020 | |a 0195079213 |9 0-19-507921-3 | ||
| 035 | |a (OCoLC)833097094 | ||
| 035 | |a (DE-599)BVBBV011754517 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-83 | ||
| 082 | 0 | |a 670.42015118 | |
| 084 | |a ZM 9000 |0 (DE-625)157211: |2 rvk | ||
| 084 | |a 74S15 |2 msc | ||
| 100 | 1 | |a Chandra, Abhijit |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Boundary element methods in manufacturing |c Abhijit Chandra ; Subrata Mukherjee |
| 264 | 1 | |a Oxford [u.a.] |b Univ. Press |c 1997 | |
| 300 | |a XVI, 508 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a The Oxford engineering science series |v 47 | |
| 650 | 0 | 7 | |a Randelemente-Methode |0 (DE-588)4076508-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Fertigung |0 (DE-588)4016899-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Fertigung |0 (DE-588)4016899-2 |D s |
| 689 | 0 | 1 | |a Randelemente-Methode |0 (DE-588)4076508-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Mukherjee, Subrata |e Verfasser |4 aut | |
| 830 | 0 | |a The Oxford engineering science series |v 47 |w (DE-604)BV001897240 |9 47 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007932133&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007932133 | |
Datensatz im Suchindex
| _version_ | 1822663808558039041 |
|---|---|
| adam_text |
Contents
1 Introduction 3
1.1 Deformation Processes 3
1.2 Material Removal Processes 5
1.3 Phase Change Processes 7
1.4 Salient Features of Manufacturing Processes and the
Boundary Element Method 8
2 Problems Involving Large Strains and Rotations 15
2.1 Continuum Mechanics Fundamentals 15
2.1.1 Kinematics in Cartesian Coordinates 15
2.1.2 Kinetics in Cartesian Coordinates 19
2.1.3 Kinematics and Kinetics in General Curvilinear
Coordinates 24
2.1.4 Objective Rates of Tensors 28
2.2 Boundary Element Formulations 34
2.2.1 Constitutive Assumptions 35
2.2.2 Three Dimensional BEM Formulation for Velocities 36
2.2.3 Stress Rates and Velocity Gradients on the Boundary 42
2.2.4 Internal Stress Rates and Velocity Gradients 43
2.2.5 Plane Strain 46
2.2.6 Plane Stress 46
2.2.7 Axisymmetric Problems 47
2.2.8 Derivative Boundary Integral Equations (DBEM)
for Plane Strain Problems 55
2.2.9 Derivative Boundary Integral Equations (DBEM)
for Plane Stress Problems 57
2.2.10 Sharp Corners for Planar Problems 58
2.3 Finite Element Formulations 59
2.3.1 A Three Dimensional FEM in an Updated
Lagrangian Formulation 60
xii CONTENTS
2.4 Numerical Implementation and Results 63
2.4.1 Viscoplastic Constitutive Models 63
2.4.2 Planar Problems 66
2.4.3 Axisymmetric Problems 75
3 Thermal Problems 86
3.1 Steady State Conduction 86
3.1.1 Direct Formulation 86
3.1.2 Alternative Complex Variable Approach 88
3.1.3 A Derivative BEM (DBEM) Formulation 90
3.2 Steady State Conduction Convection 94
3.2.1 Formulation 94
3.2.2 Numerical Implementation 98
3.2.3 Evaluation of Singular Integrals 102
3.2.4 Numerical Results and Verification 103
3.3 Transient Conduction with Moving Boundaries and
Phase Changes 131
3.3.1 Formulation 131
3.4 Transient Conduction Convection 137
3.4.1 Formulation 137
3.4.2 Numerical Implementation 140
3.4.2.1 Discretization 140
3.4.2.2 Integration of Kernels in Time and Space 142
3.4.3 Example Problems and Numerical Results 145
3.5 Thermal Stresses and Thermomechanical Aspects 151
3.5.1 Constitutive Laws 152
3.5.2 Stationary Thermoplasticity in Nonhomogeneous
Media 156
3.5.2.1 Special Case for Homogeneous Media 164
3.5.3 Nonstationary Thermoelasticity 168
3.5.3.1 Numerical Implementation 171
3.5.4 Nonstationary Thermoplasticity 179
4 Design Sensitivities and Optimization 184
4.1 Design Sensitivity Coefficients (DSCs) 184
4.1.1 The Finite Difference Approach (FDA) 185
4.1.2 The Adjoint Structure Approach (ASA) 185
4.1.3 The Direct Differentiation Approach (DDA) 185
4.1.4 Linear Elasticity 186
4.1.5 Nonlinear Problems in Solid Mechanics 186
4.2 DBEM Sensitivity Formulation 187
4.2.1 Boundary Integral Equations for Sensitivities 188
CONTENTS xiii
4.2.2 Boundary Condition Sensitivities 190
4.2.3 Sensitivities of Inelastic Constitutive Model Equations 191
4.2.4 Kinematic and Geometric Sensitivities 192
4.2.5 Stress Rates and Velocity Gradient Sensitivities
on the Boundary 194
4.2.6 Sensitivities of Integral Equations at an Internal Point 195
4.2.7 Stress Rate Sensitivities at an Internal Point 197
4.2.8 Sensitivities of Corner and Compatibility Equations 197
4.2.9 Special Cases—Small Strain Elasto viscoplasticity
and Linear Elasticity 198
4.2.10 Leibnitz Rule, Calculation of Geometric Sensitivities,
and Related Issues 199
4.3 Numerical Implementation 205
4.3.1 Discretization of Equations 205
4.3.2 Solution Strategy 206
4.4 Numerical Results for Sample Problems 209
4.4.1 One Dimensional Problems 209
4.4.2 A 2D Problem—Simple Shearing Motion 218
4.4.3 Axisymmetric Problems 222
4.5 Design Optimization 227
4.6 Optimization of Plates with Cutouts 231
4.6.1 Parametrization of Cutout Boundary 231
4.6.2 Objective Functions and Constraints 231
4.6.3 Elastic Shape Optimization 232
4.6.4 Elasto viscoplastic Shape Optimization 235
5 Planar Forming Processes 250
5.1 Introduction 250
5.2 Interface Conditions in Planar Forming Problems 252
5.2.1 General Equations 253
5.2.2 Follower Load 255
5.2.3 Sheet Forming 255
5.2.4 Extrusion 256
5.2.5 Slab Rolling 256
5.3 Numerical Implementation for Planar Cases 257
5.3.1 Objective Stress Rates for Problems Involving
Large Shear Strains 258
5.3.1.1 Relationship with the Dienes Rate 259
5.3.1.2 Relationship with Rolph and Bathe's Model 259
5.3.1.3 Elastoplasticity with Finite Rotations 260
5.3.1.4 Solution Strategy 261
xiv CONTENTS
5.4 Applications to Forming Problems 264
5.4.1 Plane Strain Extrusion 265
5.4.1.1 Numerical Results for Plane Strain Extrusion 266
5.4.2 Profile Rolling of Gears 270
5.4.2.1 Numerical Results for Profile Rolling 274
5.4.3 Plane Strain Slab Rolling 279
5.4.3.1 Numerical Results for Slab Rolling 281
5.4.4 Plane Strain Sheet Forming 286
5.4.4.1 Numerical Results for Plane Strain Sheet
Forming 287
5.5 Concurrent Preform and Process Design for Formed Products 290
5.5.1 The Concept of Reverse Forming 292
5.5.2 Integrated Design Algorithm 294
5.5.2.1 Step 1: Reverse Forming along Minimum
Plastic Work Path 294
5.5.2.2 Step 2: Feasibility Check for the Forward
Forming Step 295
5.5.2.3 Step 3: Analysis of a Feasible Forward
Forming Step 296
5.5.2.4 Step 4: Design Sensitivities of the Forward
Forming Step 297
5.5.2.5 Step 5: Optimization of the Forward
Forming Step 298
5.5.2.6 Issues Relating to Concurrent Product and
Process Design 301
6 Axisymmetric Forming Processes 306
6.1 Introduction 306
6.2 Interface Conditions for Axisymmetric Forming Problems 307
6.2.1 Axisymmetric Ring Compression 308
6.2.2 Axisymmetric Extrusion 309
6.3 Numerical Implementation for Axisymmetric Cases 311
6.4 Applications to Axisymmetric Forming 317
6.4.1 Axisymmetric Upsetting and Ring Compression 317
6.4.2 Axisymmetric Extrusion 321
6.5 Design Sensitivity and Optimization Issues 325
7 Solidification Processes 327
7.1 Introduction 327
7.2 Direct Analysis of Solidification 329
7.2.1 Governing Differential Equations 329
7.2.2 Integral Formulation 331
CONTENTS xv
7.2.3 Numerical Implementation 332
7.2.4 Evaluation of Integrals 334
7.2.5 Modeling of Corners 335
7.2.6 Matrix Formulation 335
7.3 An Inverse (Design) Solidification Problem 337
7.3.1 The Problem 337
7.3.2 Future Information and Spatial Regularization Methods 338
7.3.3 Calculation of the Sensitivity Coefficients 340
7.4 Numerical Examples 342
7.4.1 Dimensionless Parameters 342
7.4.2 The Direct Problem 342
7.4.3 The Design Problem 346
8 Machining Processes 354
8.1 Introduction 354
8.2 Boundary Element Formulation 358
8.2.1 Numerical Implementation 360
8.2.2 Verification of the Conduction Convection Algorithm 363
8.3 Modeling of Machining Processes 364
8.3.1 Mathematical Formulation 365
8.3.1.1 Within the Workpiece 366
8.3.1.2 Within the Chip 367
8.3.1.3 Within the Tool 368
8.3.1.4 Matching Boundary Conditions 369
8.3.2 Matching Scheme 370
8.4 Results from BEM Analyses 374
8.5 BEM Sensitivity Formulation 380
8.6 Sensitivities of Machining Processes 389
8.6.1 Matching Boundary Conditions for Sensitivity
Calculations 390
8.6.2 Matching Scheme for the Sensitivity Problem 392
8.7 Results from BEM Sensitivity Analysis 394
8.8 Discussion and Conclusion 405
9 Integral Equations for Ceramic Grinding Processes 409
9.1 Introduction 409
9.2 Background of Strength Degradation in Ceramic Grinding 412
9.3 Indentation Fracture Mechanics Model for Monolithic
Ceramics 414
9.3.1 An Integral Equation Formulation for Grinding of
Monolithic Ceramics 415
9.3.2 Numerical Solution Procedure 422
xvi CONTENTS
9.4 Determination of Effective Elastic Properties 425
9.4.1 Numerical Results for Monolithic Ceramics 426
9.5 Grinding of Ceramic Composites 442
9.5.1 Fundamental Fields due to Point Loads and Point
Dislocations 446
9.5.2 An Integral Equation Formulation for General
Crack Anticrack Systems 452
9.5.3 Numerical Results for Grinding of Ceramic
Composites 460
9.6 Micro Scale Features in Macro Scale Problems 469
9.6.1 Micro Scale Fundamental Solutions 474
9.6.2 Micro Macro BEM Formulation 481
9.6.3 Numerical Implementation for Hybrid Micro Macro
BEM 484
9.6.4 Numerical Results for Hybrid Micro Macro BEM 485
Index 503 |
| any_adam_object | 1 |
| author | Chandra, Abhijit Mukherjee, Subrata |
| author_facet | Chandra, Abhijit Mukherjee, Subrata |
| author_role | aut aut |
| author_sort | Chandra, Abhijit |
| author_variant | a c ac s m sm |
| building | Verbundindex |
| bvnumber | BV011754517 |
| classification_rvk | ZM 9000 |
| ctrlnum | (OCoLC)833097094 (DE-599)BVBBV011754517 |
| dewey-full | 670.42015118 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 670 - Manufacturing |
| dewey-raw | 670.42015118 |
| dewey-search | 670.42015118 |
| dewey-sort | 3670.42015118 |
| dewey-tens | 670 - Manufacturing |
| discipline | Werkstoffwissenschaften / Fertigungstechnik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV011754517</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20120404</controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">980205s1997 xx d||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0195079213</subfield><subfield code="9">0-19-507921-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)833097094</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV011754517</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-83</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">670.42015118</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">ZM 9000</subfield><subfield code="0">(DE-625)157211:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">74S15</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Chandra, Abhijit</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Boundary element methods in manufacturing</subfield><subfield code="c">Abhijit Chandra ; Subrata Mukherjee</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Oxford [u.a.]</subfield><subfield code="b">Univ. Press</subfield><subfield code="c">1997</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVI, 508 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">The Oxford engineering science series</subfield><subfield code="v">47</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Randelemente-Methode</subfield><subfield code="0">(DE-588)4076508-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Fertigung</subfield><subfield code="0">(DE-588)4016899-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Fertigung</subfield><subfield code="0">(DE-588)4016899-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Randelemente-Methode</subfield><subfield code="0">(DE-588)4076508-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Mukherjee, Subrata</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">The Oxford engineering science series</subfield><subfield code="v">47</subfield><subfield code="w">(DE-604)BV001897240</subfield><subfield code="9">47</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007932133&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-007932133</subfield></datafield></record></collection> |
| id | DE-604.BV011754517 |
| illustrated | Illustrated |
| indexdate | 2025-01-30T09:01:01Z |
| institution | BVB |
| isbn | 0195079213 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007932133 |
| oclc_num | 833097094 |
| open_access_boolean | |
| owner | DE-83 |
| owner_facet | DE-83 |
| physical | XVI, 508 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Univ. Press |
| record_format | marc |
| series | The Oxford engineering science series |
| series2 | The Oxford engineering science series |
| spelling | Chandra, Abhijit Verfasser aut Boundary element methods in manufacturing Abhijit Chandra ; Subrata Mukherjee Oxford [u.a.] Univ. Press 1997 XVI, 508 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier The Oxford engineering science series 47 Randelemente-Methode (DE-588)4076508-8 gnd rswk-swf Fertigung (DE-588)4016899-2 gnd rswk-swf Fertigung (DE-588)4016899-2 s Randelemente-Methode (DE-588)4076508-8 s DE-604 Mukherjee, Subrata Verfasser aut The Oxford engineering science series 47 (DE-604)BV001897240 47 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007932133&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Chandra, Abhijit Mukherjee, Subrata Boundary element methods in manufacturing The Oxford engineering science series Randelemente-Methode (DE-588)4076508-8 gnd Fertigung (DE-588)4016899-2 gnd |
| subject_GND | (DE-588)4076508-8 (DE-588)4016899-2 |
| title | Boundary element methods in manufacturing |
| title_auth | Boundary element methods in manufacturing |
| title_exact_search | Boundary element methods in manufacturing |
| title_full | Boundary element methods in manufacturing Abhijit Chandra ; Subrata Mukherjee |
| title_fullStr | Boundary element methods in manufacturing Abhijit Chandra ; Subrata Mukherjee |
| title_full_unstemmed | Boundary element methods in manufacturing Abhijit Chandra ; Subrata Mukherjee |
| title_short | Boundary element methods in manufacturing |
| title_sort | boundary element methods in manufacturing |
| topic | Randelemente-Methode (DE-588)4076508-8 gnd Fertigung (DE-588)4016899-2 gnd |
| topic_facet | Randelemente-Methode Fertigung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007932133&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001897240 |
| work_keys_str_mv | AT chandraabhijit boundaryelementmethodsinmanufacturing AT mukherjeesubrata boundaryelementmethodsinmanufacturing |