Numerical modeling in materials science and engineering:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2010
|
| Ausgabe: | 1. softcover print. |
| Schriftenreihe: | Springer series in computational mathematics
32 |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XI, 540 S. Ill., graph. Darst. |
| ISBN: | 9783642118203 9783642118210 9783540426769 |
Internformat
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Datensatz im Suchindex
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TABLE OF CONTENTS PREFACE VII CHAPTER 1 CONTINUOUS MEDIA 1 1.1
OBJECTIVES 1 1.2 CONSERVATION AND CONTINUITY EQUATIONS 2 1.3
CONSTITUTIVE EQUATIONS 25 1.4 BOUNDARY AND INITIAL CONDITIONS 35 1.5
EXERCISES 44 1.6 BIBLIOGRAPHY 45 CHAPTER 2 THE FINITE DIFFERENCE METHOD
47 2.1 OBJECTIVES 47 2.2 ONE DIMENSIONAL CASE 48 2.3 TWO DIMENSIONAL
PROBLEMS 68 2.4 SOME OTHER ASPECTS OF FDM 81 2.5 EXAMPLE 89 2.6
EXERCISES 91 2.7 BIBLIOGRAPHY 92 CHAPTER 3 THE FINITE ELEMENT METHOD 93
3.1 OBJECTIVES 93 3.2 GENERAL PRINCIPLES: GEOMETRIC DISCRETIZATION AND
INTEGRATION 94 3.3 OBTAINING AND DISCRETIZING THE INTEGRAL FORM FOR A
SCALAR PROBLEM: A CHEMICAL DIFFUSION EXAMPLE 111 3.4 SOLUTION OF A
VECTOR PROBLEM: MECHANICAL EQUILIBRIUM EXAMPLE 117 3.5 IMPLEMENTATION
129 3.6 NON STATIONARY PROBLEMS 139 3.7 EXERCISES 146 3.8 BIBLIOGRAPHY
147 CHAPTER 4 ELEMENTS OF NUMERICAL ALGORITHMS 149 4.1 OBJECTIVES 149
4.2 METHODS FOR GENERATING MESHES 150 4.3 SOLUTION METHODS FOR LINEAR
SYSTEMS 173 4.4 STORAGE OF MATRICES IN MEMORY 189 BIBLIOGRAFISCHE
INFORMATIONEN HTTP://D-NB.INFO/99926351X DIGITALISIERT DURCH 9.5 MONTE
CARLO METHOD 492 X 4.5 NON LINEAR PROBLEMS 198 4.6 EXERCISES 204 4.7
BIBLIOGRAPHY 205 CHAPTER 5 PHASE TRANSFORMATIONS 207 5.1 OBJECTIVES 207
5.2 STATE EQUATIONS 208 5.3 INITIAL AND BOUNDARY CONDITIONS 240 5.4
NUMERICAL TREATMENT 253 5.5 EXAMPLES 266 5.6 EXERCISES 284 5.7
BIBLIOGRAPHY 285 CHAPTER 6 DEFORMATION OF SOLIDS 287 6.1 OBJECTIVES 287
6.2 CONSTITUTIVE EQUATIONS 287 6.3 BOUNDARY CONDITIONS 310 6.4 NUMERICAL
TREATMENT 318 6.5 EXAMPLES 332 6.6 EXERCISES 362 6.7 BIBLIOGRAPHY 363
CHAPTER 7 INCOMPRESSIBLE FLUID FLOW 365 7.1 OBJECTIVES 365 7.2
CONSTITUTIVE EQUATIONS 366 7.3 BOUNDARY AND INITIAL CONDITIONS 380 7.4
NUMERICAL TREATMENT OF THE NAVIER-STOKES PROBLEM 387 7.6 EXAMPLES 423
7.7 EXERCISES 442 7.8 BIBLIOGRAPHY 444 CHAPTER 8 INVERSE METHODS 447 8.1
OBJECTIVES 447 8.2 A SIMPLE LINEAR ONE DIMENSIONAL PROBLEM 448 8.3 A NON
LINEAR ONE DIMENSIONAL PROBLEM 452 8.4 INVERSE METHOD WITH TIME
INDEPENDENT PARAMETERS 457 8.5 INVERSE METHOD WITH TIME DEPENDENT
PARAMETERS 464 8.6 EXAMPLES 468 8.7 EXERCISES 473 8.8 BIBLIOGRAPHY 475
CHAPTER 9 STOCHASTIC METHODS 477 9.1 OBJECTIVES 477 9.2 GENERATION OF
RANDOM NUMBERS 478 9.3 INTEGRATION BY STOCHASTIC METHODS 485 9.4
SOLUTION OF SYSTEMS OF EQUATIONS 488 INDEX 535 TABLE OF CONTENTS XI 9.6
RANDOM WALKERS METHOD 498 9.7 CELLULAR AUTOMATA METHOD 506 9.8 EXAMPLES
510 9.9 EXERCISES 514 9.10 BIBLIOGRAPHY 515 CHAPTER 10 APPENDICES 517
10.1 TABLE OF SYMBOLS 517 10.2 VECTOR CALCULUS 521 10.3 GAUSS
INTEGRATION METHOD 525 10.4 NON DIMENSIONAL NUMBERS 531 10.5
INTERPRETATION OF THE TERMS OF THE ELEMENTARY STIFFNESS MATRIX FOR A
DIFFUSION PROBLEM ON A TRIANGULAR LINEAR FINITE ELEMENT 532 |
| any_adam_object | 1 |
| author | Rappaz, Michel Bellet, Michel Deville, Michel |
| author_facet | Rappaz, Michel Bellet, Michel Deville, Michel |
| author_role | aut aut aut |
| author_sort | Rappaz, Michel |
| author_variant | m r mr m b mb m d md |
| building | Verbundindex |
| bvnumber | BV025603782 |
| classification_rvk | SK 910 SK 920 SK 950 SK 955 |
| ctrlnum | (OCoLC)699742448 (DE-599)BVBBV025603782 |
| dewey-full | 620.1001518 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.1001518 |
| dewey-search | 620.1001518 |
| dewey-sort | 3620.1001518 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Maschinenbau / Maschinenwesen Mathematik |
| edition | 1. softcover print. |
| format | Book |
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| id | DE-604.BV025603782 |
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| indexdate | 2024-07-20T10:34:56Z |
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| isbn | 9783642118203 9783642118210 9783540426769 |
| language | English |
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| physical | XI, 540 S. Ill., graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Springer |
| record_format | marc |
| series | Springer series in computational mathematics |
| series2 | Springer series in computational mathematics |
| spelling | Rappaz, Michel Verfasser aut Modélisation numérique en science et génie des matériaux Numerical modeling in materials science and engineering Michel Rappaz ; Michel Bellet ; Michel Deville 1. softcover print. Berlin [u.a.] Springer 2010 XI, 540 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer series in computational mathematics 32 Phasenumwandlung (DE-588)4132140-6 gnd rswk-swf Deformation (DE-588)4070262-5 gnd rswk-swf Finite-Differenzen-Methode (DE-588)4194626-1 gnd rswk-swf Festkörper (DE-588)4016918-2 gnd rswk-swf Fluid (DE-588)4017690-3 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Inkompressible Strömung (DE-588)4129759-3 gnd rswk-swf Numerisches Modell (DE-588)4338132-7 gnd rswk-swf Finite-Differenzen-Methode (DE-588)4194626-1 s DE-604 Finite-Elemente-Methode (DE-588)4017233-8 s Phasenumwandlung (DE-588)4132140-6 s Numerisches Modell (DE-588)4338132-7 s Festkörper (DE-588)4016918-2 s Deformation (DE-588)4070262-5 s Fluid (DE-588)4017690-3 s Inkompressible Strömung (DE-588)4129759-3 s Bellet, Michel Verfasser aut Deville, Michel Verfasser aut Springer series in computational mathematics 32 (DE-604)BV000012004 32 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3408964&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=020198954&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rappaz, Michel Bellet, Michel Deville, Michel Numerical modeling in materials science and engineering Springer series in computational mathematics Phasenumwandlung (DE-588)4132140-6 gnd Deformation (DE-588)4070262-5 gnd Finite-Differenzen-Methode (DE-588)4194626-1 gnd Festkörper (DE-588)4016918-2 gnd Fluid (DE-588)4017690-3 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Inkompressible Strömung (DE-588)4129759-3 gnd Numerisches Modell (DE-588)4338132-7 gnd |
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| title | Numerical modeling in materials science and engineering |
| title_alt | Modélisation numérique en science et génie des matériaux |
| title_auth | Numerical modeling in materials science and engineering |
| title_exact_search | Numerical modeling in materials science and engineering |
| title_full | Numerical modeling in materials science and engineering Michel Rappaz ; Michel Bellet ; Michel Deville |
| title_fullStr | Numerical modeling in materials science and engineering Michel Rappaz ; Michel Bellet ; Michel Deville |
| title_full_unstemmed | Numerical modeling in materials science and engineering Michel Rappaz ; Michel Bellet ; Michel Deville |
| title_short | Numerical modeling in materials science and engineering |
| title_sort | numerical modeling in materials science and engineering |
| topic | Phasenumwandlung (DE-588)4132140-6 gnd Deformation (DE-588)4070262-5 gnd Finite-Differenzen-Methode (DE-588)4194626-1 gnd Festkörper (DE-588)4016918-2 gnd Fluid (DE-588)4017690-3 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Inkompressible Strömung (DE-588)4129759-3 gnd Numerisches Modell (DE-588)4338132-7 gnd |
| topic_facet | Phasenumwandlung Deformation Finite-Differenzen-Methode Festkörper Fluid Finite-Elemente-Methode Inkompressible Strömung Numerisches Modell |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3408964&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020198954&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000012004 |
| work_keys_str_mv | AT rappazmichel modelisationnumeriqueenscienceetgeniedesmateriaux AT belletmichel modelisationnumeriqueenscienceetgeniedesmateriaux AT devillemichel modelisationnumeriqueenscienceetgeniedesmateriaux AT rappazmichel numericalmodelinginmaterialsscienceandengineering AT belletmichel numericalmodelinginmaterialsscienceandengineering AT devillemichel numericalmodelinginmaterialsscienceandengineering |