Introduction to dynamics of continuous media:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Macmillan
1987
|
| Ausgabe: | 1. print. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 390 S. |
| ISBN: | 0029476402 |
Internformat
MARC
| LEADER | 00000nam a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV021889460 | ||
| 003 | DE-604 | ||
| 005 | 20040301000000.0 | ||
| 007 | t | ||
| 008 | 900320s1987 |||| 00||| eng d | ||
| 020 | |a 0029476402 |9 0-02-947640-2 | ||
| 035 | |a (OCoLC)16090993 | ||
| 035 | |a (DE-599)BVBBV021889460 | ||
| 040 | |a DE-604 |b ger | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-706 |a DE-188 | ||
| 050 | 0 | |a QA808.2 | |
| 082 | 0 | |a 531 |2 19 | |
| 100 | 1 | |a Davis, Julian L. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Introduction to dynamics of continuous media |
| 250 | |a 1. print. | ||
| 264 | 1 | |a New York [u.a.] |b Macmillan |c 1987 | |
| 300 | |a 390 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Milieux continus, Mécanique des | |
| 650 | 4 | |a Continuum mechanics | |
| 650 | 0 | 7 | |a Kontinuumsmechanik |0 (DE-588)4032296-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Kontinuumsmechanik |0 (DE-588)4032296-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m HEBIS Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015104684&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-015104684 | ||
Datensatz im Suchindex
| _version_ | 1804135832159780864 |
|---|---|
| adam_text | INTRODUCTION TO
DYNAMICS OF
CONTINUOUS MEDIA
JULIAN L DAVIS
MACMILLAN PUBLISHING COMPANY
NEW YORK
Collier Macmillan Publishers
LONDON
Contents
PREFACE
MATRICES AND VECTORS
Definition of a Matrix
Matrix Multiplication
Evolution of a Matrix System
Continuous Transformations:
Jacobian Matrix as a Mapping Tool
Arc, Area, and Volume
Quadratic Forms
Bilinear Form: Linear Vector Functions
Eigenvectors and Eigenvalues of a Linear Vector Function
Diagonalization of a Matrix Canonical Form
DEFORMATION AND STRAIN
Deformation
One-Dimensional Model of Strain
Three-Dimensional Case: Compression Ratio and
Strain Matrix
Principal Axes of Strain
Strain Matrix as Function of Displacement Vector
Contents
The Strain Invariants
Curvilinear Orthogonal Coordinates
CONNECTION BETWEEN STRESS AND STRAIN
Body and Surface Forces
Stress Tensor
Equations of Motion
Stress-Strain Relations
Curvilinear Coordinates
STRESS WAVES IN AN ELASTIC SOLID
Equation of Motion in Terms of Displacements
Vibrations of Elastic Solids
One-Dimensional Wave Equation
Method of Characteristics Applied to the
First-Order System
Three-Dimensional Wave Propagation
Curvilinear Coordinates
Bounded Media
STRESS WAVES IN RHEOLOGICAL MATERIALS
Internal Friction
Discrete Viscoelastic Models
Electromechanical Analogy
Continuous Viscoelastic Models:
Continuous Maxwell Model
Three-Dimensional VE Constitutive Equations
Equations of Motion for a VE Medium
One-Dimensional Wave Propagation in VE Media
Wave Propagation in a VE Cylinder
THERMOELASTICITY
The Duhamel-Neumann Law
Equations of Motion
Conservation Laws
Second law of thermodynamics and entropy
Plane harmonic waves
Three-dimensional thermoelastic waves
Appendix 6 A Proof of Stirling s Formula
Contents
7 FLUID DYNAMICS 218
7 1 One-Dimensional Compressible Flow 218
7 2 Two-Dimensional Steady Flow 228
7 3 Introduction to Shock-Wave Phenomena 237
7 4 Qualitative Ideas on Shock Waves 241
7 5 One-Dimensional Shock-Wave Phenomena 244
8 VISCOUS FLUIDS 258
8 1 Viscosity: Elementary Considerations 259
8 2 Conservation of Mass 261
8 3 Conservation of Momentum 262
8 4 Conservation of Energy 272
8 5 Flow in a Pipe 276
8 6 Flow Between Two Rotating Cylinders 278
8 7 Dimensional Considerations 280
8 8 Stokes Flow 282
8 9 Oscillatory Motion 289
8 10 Potential Flow 294
8 11 Thermal Conduction in Fluids 298
8 12 Thermal Convection in Fluids 303
8 13 Diffusion in Fluids 305
9 VARIATIONAL METHODS IN
CONTINUUM MECHANICS 310
9 1 Fermat s Principle 311
9 2 Euler s Equations: One-Dimensional Case 311
9 3 Two-Dimensional Case 315
9 4 Minimum Potential Energy 317
9 5 Rayleigh-Ritz Method: One-Dimensional Case 322
9 6 Hamilton s Principle and Lagrange s Equations of Motion:
Discrete Systems 325
9 7 Lagrange s Equations for a Continuum 337
9 8 Hamilton s Equations of Motion for a Discrete System 344
9 9 Hamilton s Equations for a Continuum 351
9 10 Hamilton-Jacobi Theory 357
9 11 Hamilton-Jacobi Theory and Wave Propagation 376
REFERENCES 380
INDEX 383
|
| adam_txt |
INTRODUCTION TO
DYNAMICS OF
CONTINUOUS MEDIA
JULIAN L DAVIS
MACMILLAN PUBLISHING COMPANY
NEW YORK
Collier Macmillan Publishers
LONDON
Contents
PREFACE
MATRICES AND VECTORS
Definition of a Matrix
Matrix Multiplication
Evolution of a Matrix System
Continuous Transformations:
Jacobian Matrix as a Mapping Tool
Arc, Area, and Volume
Quadratic Forms
Bilinear Form: Linear Vector Functions
Eigenvectors and Eigenvalues of a Linear Vector Function
Diagonalization of a Matrix Canonical Form
DEFORMATION AND STRAIN
Deformation
One-Dimensional Model of Strain
Three-Dimensional Case: Compression Ratio and
Strain Matrix
Principal Axes of Strain
Strain Matrix as Function of Displacement Vector
Contents
The Strain Invariants
Curvilinear Orthogonal Coordinates
CONNECTION BETWEEN STRESS AND STRAIN
Body and Surface Forces
Stress Tensor
Equations of Motion
Stress-Strain Relations
Curvilinear Coordinates
STRESS WAVES IN AN ELASTIC SOLID
Equation of Motion in Terms of Displacements
Vibrations of Elastic Solids
One-Dimensional Wave Equation
Method of Characteristics Applied to the
First-Order System
Three-Dimensional Wave Propagation
Curvilinear Coordinates
Bounded Media
STRESS WAVES IN RHEOLOGICAL MATERIALS
Internal Friction
Discrete Viscoelastic Models
Electromechanical Analogy
Continuous Viscoelastic Models:
Continuous Maxwell Model
Three-Dimensional VE Constitutive Equations
Equations of Motion for a VE Medium
One-Dimensional Wave Propagation in VE Media
Wave Propagation in a VE Cylinder
THERMOELASTICITY
The Duhamel-Neumann Law
Equations of Motion
Conservation Laws
Second law of thermodynamics and entropy
Plane harmonic waves
Three-dimensional thermoelastic waves
Appendix 6 A Proof of Stirling's Formula
Contents
7 FLUID DYNAMICS 218
7 1 One-Dimensional Compressible Flow 218
7 2 Two-Dimensional Steady Flow 228
7 3 Introduction to Shock-Wave Phenomena 237
7 4 Qualitative Ideas on Shock Waves 241
7 5 One-Dimensional Shock-Wave Phenomena 244
8 VISCOUS FLUIDS 258
8 1 Viscosity: Elementary Considerations 259
8 2 Conservation of Mass 261
8 3 Conservation of Momentum 262
8 4 Conservation of Energy 272
8 5 Flow in a Pipe 276
8 6 Flow Between Two Rotating Cylinders 278
8 7 Dimensional Considerations 280
8 8 Stokes Flow 282
8 9 Oscillatory Motion 289
8 10 Potential Flow 294
8 11 Thermal Conduction in Fluids 298
8 12 Thermal Convection in Fluids 303
8 13 Diffusion in Fluids 305
9 VARIATIONAL METHODS IN
CONTINUUM MECHANICS 310
9 1 Fermat's Principle 311
9 2 Euler's Equations: One-Dimensional Case 311
9 3 Two-Dimensional Case 315
9 4 Minimum Potential Energy 317
9 5 Rayleigh-Ritz Method: One-Dimensional Case 322
9 6 Hamilton's Principle and Lagrange's Equations of Motion:
Discrete Systems 325
9 7 Lagrange's Equations for a Continuum 337
9 8 Hamilton's Equations of Motion for a Discrete System 344
9 9 Hamilton's Equations for a Continuum 351
9 10 Hamilton-Jacobi Theory 357
9 11 Hamilton-Jacobi Theory and Wave Propagation 376
REFERENCES 380
INDEX 383 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Davis, Julian L. |
| author_facet | Davis, Julian L. |
| author_role | aut |
| author_sort | Davis, Julian L. |
| author_variant | j l d jl jld |
| building | Verbundindex |
| bvnumber | BV021889460 |
| callnumber-first | Q - Science |
| callnumber-label | QA808 |
| callnumber-raw | QA808.2 |
| callnumber-search | QA808.2 |
| callnumber-sort | QA 3808.2 |
| callnumber-subject | QA - Mathematics |
| ctrlnum | (OCoLC)16090993 (DE-599)BVBBV021889460 |
| dewey-full | 531 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 531 - Classical mechanics |
| dewey-raw | 531 |
| dewey-search | 531 |
| dewey-sort | 3531 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| discipline_str_mv | Physik |
| edition | 1. print. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01238nam a2200361zc 4500</leader><controlfield tag="001">BV021889460</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20040301000000.0</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">900320s1987 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0029476402</subfield><subfield code="9">0-02-947640-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)16090993</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV021889460</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-706</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA808.2</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">531</subfield><subfield code="2">19</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Davis, Julian L.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Introduction to dynamics of continuous media</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1. print.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York [u.a.]</subfield><subfield code="b">Macmillan</subfield><subfield code="c">1987</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">390 S.</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="650" ind1=" " ind2="4"><subfield code="a">Milieux continus, Mécanique des</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Continuum mechanics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kontinuumsmechanik</subfield><subfield code="0">(DE-588)4032296-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Kontinuumsmechanik</subfield><subfield code="0">(DE-588)4032296-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HEBIS 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=015104684&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-015104684</subfield></datafield></record></collection> |
| id | DE-604.BV021889460 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T16:04:07Z |
| indexdate | 2024-07-09T20:46:46Z |
| institution | BVB |
| isbn | 0029476402 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015104684 |
| oclc_num | 16090993 |
| open_access_boolean | |
| owner | DE-706 DE-188 |
| owner_facet | DE-706 DE-188 |
| physical | 390 S. |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | Macmillan |
| record_format | marc |
| spelling | Davis, Julian L. Verfasser aut Introduction to dynamics of continuous media 1. print. New York [u.a.] Macmillan 1987 390 S. txt rdacontent n rdamedia nc rdacarrier Milieux continus, Mécanique des Continuum mechanics Kontinuumsmechanik (DE-588)4032296-8 gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 s DE-604 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015104684&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Davis, Julian L. Introduction to dynamics of continuous media Milieux continus, Mécanique des Continuum mechanics Kontinuumsmechanik (DE-588)4032296-8 gnd |
| subject_GND | (DE-588)4032296-8 |
| title | Introduction to dynamics of continuous media |
| title_auth | Introduction to dynamics of continuous media |
| title_exact_search | Introduction to dynamics of continuous media |
| title_exact_search_txtP | Introduction to dynamics of continuous media |
| title_full | Introduction to dynamics of continuous media |
| title_fullStr | Introduction to dynamics of continuous media |
| title_full_unstemmed | Introduction to dynamics of continuous media |
| title_short | Introduction to dynamics of continuous media |
| title_sort | introduction to dynamics of continuous media |
| topic | Milieux continus, Mécanique des Continuum mechanics Kontinuumsmechanik (DE-588)4032296-8 gnd |
| topic_facet | Milieux continus, Mécanique des Continuum mechanics Kontinuumsmechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015104684&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT davisjulianl introductiontodynamicsofcontinuousmedia |