Theory of porous media: highlights in historical development and current state
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2000
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 581 - 608 |
| Physical Description: | XVI, 618 S. Ill., graph. Darst., Kt. |
| ISBN: | 354065982X |
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Record in the Search Index
| _version_ | 1804127720462876672 |
|---|---|
| adam_text | REINT DE BOER THEORY OF POROUS MEDIA HIGHLIGHTS IN HISTORICAL
DEVELOPMENT AND CURRENT STATE WITH 176 FIGURES SPRINGER CONTENTS 1
INTRODUCTION 1 2 THE EARLY ERA 5 2.1 THE DEVELOPMENT OF THE PRINCIPLES
OF MECHANICS 6 2.2 THE DYNAMICS OF RIGID BODIES 12 2.3 THE THEORY OF
IDEAL FLUIDS 16 2.4 EULER S DESCRIPTION OF A POROUS BODY 23 2.5
COULOMB S EARTH PRESSURE THEORY 25 2.6 WOLTMAN S CONTRIBUTION TO THE
POROUS MEDIA THEORY: THE INTRODUCTION OF THE ANGLE OF INTERNAL FRICTION
AND THE VOLUME FRACTION CONCEPT 31 2.7 CONCLUDING REMARKS 45 2.8
BIOGRAPHICAL NOTES 46 3 THE CLASSICAL ERA 69 3.1 CAUCHY S FORMULATION OF
THE STRESS CONCEPT 70 3.1.1 CAUCHY S PREDECESSORS 70 3.1.2 THE FINAL
STEP 72 3.1.3 BIOGRAPHICAL NOTES 75 3.2 THE DEVELOPMENT OF THE LINEAR
ELASTICITY THEORY 78 3.2.1 THEORETICAL MOLECULAR FORMULATIONS 79 3.2.2
CONTINUUM MECHANICS APPROACH 85 3.2.3 COMPLETION OF THE THEORY 86 3.2.4
SOME SOLUTIONS OF THE FUNDAMENTAL EQUATIONS 89 3.2.5 FINAL REMARKS 91
3.2.6 BIOGRAPHICAL NOTES 93 3.3 DISCOVERY OF FUNDAMENTAL LAWS (DELESSE,
FICK, DARCY) 95 3.3.1 THE DELESSIAN LAW 96 3.3.2 FICK SLAW 97 3.3.3
DARCY S LAW 99 3.3.4 BIOGRAPHICAL NOTES 101 / XII CONTENTS 3.4 THE
DEVELOPMENT OF THE THEORY OF VISCOUS FLUIDS 102 3.4.1 INTRODUCTION: THE
NAVIER-STOKES EQUATIONS 102 3.4.2 THE HISTORICAL DEVELOPMENT OF THE
THEORY 103 3.4.3 BIOGRAPHICAL NOTES 110 3.5 THE MOHR-COULOMB FAILURE
CONDITION AND OTHER PLASTICITY THEORY STUDIES 112 3.5.1 W.J. MACQUORN
RANKINE S FUNDAMENTAL FAILURE CONDITION FOR GRANULAER MATERIAL 113 3.5.2
O. MOHR S CONTRIBUTIONS TO THE DETERMINATION OF THE ELASTICITY AND
FAILURE LIMITS 118 3.5.3 EXTENSION OF THE PLASTICITY THEORY 122 3.5.4
BIOGRAPHICAL NOTES 132 3.6 MOTION OF LIQUIDS IN RIGID POROUS SOLIDS 135
3.6.1 MOTION OF LIQUIDS THROUGH NARROW TUBES 136 3.6.2 FLOW OF A LIQUID
THROUGH POROUS BODIES WITH STATISTICALLY-DISTRIBUTED PORES 138 3.6.3
APPLICATION 139 3.7 FOUNDATION OF THE MIXTURE THEORY 140 3.7.1
INTRODUCTION 140 3.7.2 STEFAN S DEVELOPMENT OF THE MIXTURE THEORY 141
3.7.3 BIOGRAPHICAL NOTES 145 3.8 THE FOUNDATION OF THERMODYNAMICS 146
3.8.1 DEVELOPMENT IN THE EARLY DAYS 147 3.8.2 THE ACHIEVEMENTS OF CARNOT
(1796-1832) AND CLAPEYRON (1799-1864) 149 3.8.3 ROBERT MAYER, THE
DISCOVERER OF THE MECHANICAL EQUIVALENT OF HEAT 154 3.8.4 THE
CONTRIBUTIONS OF MOHR, SEGUIN, COLDING, HOLTZMANN, AND HELMHOLTZ 159
3.8.5 THE DECISIVE INVESTIGATIONS OF JOULE 163 3.8.6 THE FOUNDATION OF
THERMODYNAMICS BY CLAUSIUS, RANKINE AND THOMSON 164 3.8.7 DISCUSSIONS ON
THE CORRECT FORM OF THE MECHANICAL THEORY OF HEAT AND FURTHER
DEVELOPMENTS 176 3.8.8 BIOGRAPHICAL NOTES 178 4 THE MODERN ERA 187 4.1
DISCOVERY OF FUNDAMENTAL EFFECTS OF LIQUID-SATURATED RIGID POROUS SOLIDS
188 4.2 THE TREATMENT OF THE LIQUID-SATURATED DEFORMABLE POROUS SOLID BY
VON TERZAGHI 201 4.3 THE FOUNDATION OF MODERN POROUS MEDIA THEORY BY
FILLUNGER 209 CONTENTS XIII 4.4 THE TRAGIC CONTROVERSY BETWEEN THE
VIENNESE PROFESSORS FILLUNGER AND VON TERZAGHI IN 1936/37 213 4.5 THE
FURTHER DEVELOPMENT OF THE VIENNESE AFFAIR AND IN SOIL MECHANICS 246 4.6
BIOGRAPHICAL NOTES 260 4.7 THE FOLLOWERS OF VON TERZAGHI AND FILLUNGER:
BIOT, HEINRICH AND FRENKEL 284 4.7.1 BIOT S THEORY 285 4.7.2 HEINRICH S
THEORY 297 4.7.3 FRENKEL S DESCRIPTION OF MOIST SOIL 301 4.7.4 FURTHER
DEVELOPMENTS 303 4.7.5 BIOGRAPHICAL NOTES 305 4.8 FURTHER DEVELOPMENT OF
THE ELASTICITY AND PLASTICITY THEORIES . 307 4.8.1 ELASTICITY THEORY 307
4.8.2 PLASTICITY THEORY 311 4.9 MODERN CONTINUUM MECHANICS AND MIXTURE
THEORY 318 4.10 THEORIES OF IMMISCIBLE MIXTURES 321 5 CURRENT STATE OF
POROUS MEDIA THEORY 331 5.1 INTRODUCTORY REMARKS TO POROUS MEDIA THEORY
331 5.2 THE VOLUME FRACTION CONCEPT 332 5.3 KINEMATICS 336 5.4 BALANCE
EQUATIONS 345 5.4.1 BALANCE OF MASS 345 5.4.2 BALANCE OF MOMENTUM AND
MOMENT OF MOMENTUM . . 347 5.4.3 BALANCE OF ENERGY 349 5.5 ENTROPY
INEQUALITY 351 5.6 THE CLOSURE PROBLEM AND THE SATURATION CONSTRAINT 353
5.7 PRINCIPLE OF VIRTUAL WORK 356 5.8 CONSTITUTIVE THEORY 358 5.8.1
PRINCIPLE OF MATERIAL OBJECTIVITY 359 5.8.2 THE INTRODUCTION AND
EVALUATION OF THE ENTROPY INEQUALITY FOR A GENERAL BINARY POROUS MEDIUM
MODEL 362 A) THE INTRODUCTION AND EVALUATION OF THE ENTROPY INEQUALITY
FOR A BINARY POROUS MEDIUM MODEL WITH INCOMPRESSIBLE CONSTITUENTS 365 B)
THE INTRODUCTION AND EVALUATION OF THE ENTROPY INEQUALITY FOR A BINARY
POROUS MODEL WITH COMPRESSIBLE CONSTITUENTS 367 XIV CONTENTS C) THE
INTRODUCTION AND EVALUATION OF THE ENTROPY INEQUALITY FOR A BINARY
POROUS MEDIUM MODEL WITH COMPRESSIBLE SOLID AND INCOMPRESSIBLE FLUID
CONSTITUENTS (HYBRID MODEL OF FIRST TYPE) .... 369 D) THE INTRODUCTION
AND EVALUATION OF FHE ENTROPY INEQUALITY FOR A BINARY POROUS MEDIUM
MODEL WITH INCOMPRESSIBLE SOLID AND COMPRESSIBLE FLUID CONSTITUENTS
(HYBRID MODEL OF SECOND TYPE) . . . 374 E) ADDITIONAL REMARKS 375 5.8.3
THERMOELASTIC COMPRESSIBLE POROUS SOLID FILLED WITH AN INCOMPRESSIBLE
VISCOUS FLUID 377 5.8.4 RIGID IDEAL-PLASTIC POROUS SOLID FILLED,WITH AN
INVISCID COMPRESSIBLE FLUID 385 5.8.5 ELASTIC-PLASTIC BEHAVIOR OF AN
INCOMPRESSIBLE POROUS SOLID FILLED WITH AN INCOMPRESSIBLE INVISCID FLUID
. . . 390 5.8.6 CONSTITUTIVE RELATIONS AND TRANSPORT PHENOMENA IN
FLUID-SATURATED RIGID POROUS SOLIDS 404 A) HEAT CONDUCTION 406 B) MOTION
OF AN INCOMPRESSIBLE, VISCOUS FLUID .... 408 C) FURTHER TRANSPORT
PHENOMENA: DIFFUSION, CAPILLARITY, FILTRATION, AND MOTION OF MOISTURE .
. 415 5.9 APPLICATIONS 417 5.9.1 UPLIFT, FRICTION AND CAPILLARITY: THREE
FUNDAMENTAL EFFECTS FOR LIQUID-SATURATED POROUS SOLIDS 419 5.9.2
ONE-DIMENSIONAL TRANSIENT WAVE PROPAGATION IN FLUID-SATURATED
INCOMPRESSIBLE POROUS MEDIA 422 A) FIELD EQUATIONS 424 B)
ONE-DIMENSIONAL TRANSIENT WAVE PROPAGATION SOLUTION 426 C) GENERAL
PROPERTIES OF THE ANALYTICAL SOLUTION . . . 429 D) AN ILLUSTRATIVE
EXAMPLE OF A ONE-DIMENSIONAL SOIL COLUMN SUBJECT TO THREE DIFFERENT
SURFACE LOADINGS 430 5.9.3 ONE-DIMENSIONAL CONSOLIDATION (VON TERZAGHI S
DIFFERENTIAL EQUATION) 446 5.9.4 THE ELASTIC-PLASTIC COMPACTION OF
METALLIC POWDERS . . 456 5.9.5 FURTHER SOLUTIONS 462 6 CONCLUSIONS AND
OUTLOOK 471 CONTENTS XV APPENDIX 473 A EVALUATION OF THE ENTROPY
INEQUALITY 473 B INTRODUCTION TO THE VECTOR- AND TENSOR CALCULUS FOR
ENGINEERS 489 B 1. INTRODUCTION 489 B 2. BASIC CONCEPTS 490 B 2.1
SYMBOLS 490 B 2.2 EINSTEIN S SUMMATION CONVENTION 491 B 2.3 KRONECKER
SYMBOL 492 B 3. VECTOR ALGEBRA 493 B 3.1 VECTOR NOTION AND VECTOR
OPERATIONS 493 B 3.2 BASE SYSTEM 496 B 3.3 RECIPROCAL BASE SYSTEM 497 B
3.4 COVARIANT AND CONTRAVARIANT COEFFICIENTS OF THE VECTOR COMPONENTS
498 B 3.5 PHYSICAL COEFFICIENTS OF A VECTOR 499 B 4. TENSOR ALGEBRA 500
B 4.1 TENSOR NOTION (LINEAR MAPPING) 500 B 4.2 ALGEBRA IN BASE SYSTEMS
502 B 4.3 SCALAR PRODUCT OF TENSORS 507 B 4.4 TENSOR PRODUCT 509 B 4.5
SPECIAL TENSORS AND OPERATIONS 511 B 4.5.1 INVERSE TENSOR 511 B 4.5.2
TRANSPOSED TENSOR 512 B 4.5.3 SYMMETRICAL AND SKEW-SYMMETRICAL TENSORS .
513 B 4.5.4 ORTHOGONAL TENSOR 514 B 4.5.5 TRACE OF THE TENSOR 515 B 4.6
DECOMPOSITION OF THE TENSOR 516 B 4.6.1 ADDITIVE DECOMPOSITION 516 B
4.6.2 MULTIPLICATIVE DECOMPOSITION (POLAR DECOMPOSITION) 517 B 4.7
CHANGE OF THE BASE 519 B 4.8 HIGHER-ORDER TENSORS 521 B 4.8.1
INTRODUCTION OF HIGHER-ORDER TENSORS .... 521 B 4.8.2 SPECIAL OPERATIONS
AND TENSORS 523 B 4.8.3 ALGEBRA IN BASE SYSTEMS 525 B 4.9 CROSS PRODUCT
525 B 4.9.1 CROSS PRODUCT OF VECTORS 526 B 4.9.2 CROSS TENSOR PRODUCT OF
VECTOR AND TENSOR . 532 B 4.9.3 CROSS TENSOR PRODUCT OF TENSORS 533 B
4.9.4 CROSS VECTOR PRODUCT OF TENSORS 535 B 4.9.5 SPECIAL TENSORS AND
OPERATIONS 536 XVI CONTENTS B 4.10 FUNDAMENTAL TENSORS 540 B 5. VECTOR
AND TENSOR ANALYSIS 544 B 5.1 FUNCTIONS OF SCALAR PARAMETERS 545 B 5.2
FIELD THEORY . 547 B 5.2.1 GRADIENT 547 B 5.2.2 DERIVATIVES OF
HIGHER-ORDER 550 B 5.2.3 SPECIAL OPERATIONS (DIVERGENCE, ROTATION, AND
THE LAPLACE-OPERATOR) 551 B 5.3 FUNCTIONS OF VECTOR AND TENSOR VARIABLES
553 B 5.4 INTEGRAL THEOREMS 557 B 5.4.1 TRANSFORMATION OF SURFACE
INTEGRALS INTO VOLUME INTEGRALS 557 B 5.4.2 TRANSFORMATION OF LINE
INTEGRALS INTO SURFACE INTEGRALS 558 C GEOMETRIE REPRESENTATION OF THE
PRINCIPAL STRESSES, THE STRESS INVARIANTS AND THE MOHR-COULOMB THEORY
561 C 1. PRELIMINARIES 561 C 2. TRIAXIAL PLANE 563 C 3. OCTAHEDRAL PLANE
565 C 4. GEOMETRIE REPRESENTATION OF YIELD FUNCTIONS 566 C 5. SUBSPACE
OF THE STRESS STATE 568 C 6. MOHR-COULOMB THEORY 570 C 6.1 COULOMB S
STRENGTH HYPOTHESIS FOR ARBITRARILY ORIENTED SURFACES 570 C 6.2 FAILURE
SURFACES 572 C 7. FAILURE CONDITION IN INVARIANT FORMULATION 575
REFERENCES 581 AUTHOR INDEX 611 SUBJECT INDEX 615
|
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| id | DE-604.BV013023045 |
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| indexdate | 2024-07-09T18:37:50Z |
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| isbn | 354065982X |
| language | English |
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| publishDate | 2000 |
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| publisher | Springer |
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| spelling | Boer, Reint de 1935-2010 Verfasser (DE-588)129310816 aut Theory of porous media highlights in historical development and current state Reint de Boer Berlin [u.a.] Springer 2000 XVI, 618 S. Ill., graph. Darst., Kt. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 581 - 608 Porous materials Poröser Stoff (DE-588)4046811-2 gnd rswk-swf Poröser Stoff (DE-588)4046811-2 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008872782&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Boer, Reint de 1935-2010 Theory of porous media highlights in historical development and current state Porous materials Poröser Stoff (DE-588)4046811-2 gnd |
| subject_GND | (DE-588)4046811-2 |
| title | Theory of porous media highlights in historical development and current state |
| title_auth | Theory of porous media highlights in historical development and current state |
| title_exact_search | Theory of porous media highlights in historical development and current state |
| title_full | Theory of porous media highlights in historical development and current state Reint de Boer |
| title_fullStr | Theory of porous media highlights in historical development and current state Reint de Boer |
| title_full_unstemmed | Theory of porous media highlights in historical development and current state Reint de Boer |
| title_short | Theory of porous media |
| title_sort | theory of porous media highlights in historical development and current state |
| title_sub | highlights in historical development and current state |
| topic | Porous materials Poröser Stoff (DE-588)4046811-2 gnd |
| topic_facet | Porous materials Poröser Stoff |
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