Fracture mechanics of concrete: applications of fracture mechanics to concrete, rock, and other quasi-brittle materials
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Wiley
1995
|
| Series: | A Wiley Interscience publication
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XXXI, 552 S. zahrlr. graph. Darst. |
| ISBN: | 0471303119 |
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| 245 | 1 | 0 | |a Fracture mechanics of concrete |b applications of fracture mechanics to concrete, rock, and other quasi-brittle materials |c Surendra P. Shah ; Stuart E. Swartz ; Chengsheng Ouyang |
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Record in the Search Index
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|---|---|
| adam_text | FRACTURE MECHANICS OF
CONCRETE: APPLICATIONS
OF FRACTURE MECHANICS
TO CONCRETE, ROCK, AND
OTHER QUASl-BRITTLE
MATERIALS
Surendra P Shah
Walter P Murphy Professor
Depanment of Civil Engineering
Northwestern University
Stuart E Swartz
Professor and Head
Department of Civil Engineering
Kansas State University
Chengsheng Ouyang
Engineer
Office of Materials
Iowa Department of Transportation
A WILEY-INTERSCIENCE PUBLICATION
JOHN WILEY amp; SONS, INC
New York I Chichester l Brisbane I Toronto / Singapore
CONTENTS
Preface
List of Symbols
XV
xvii
1 Failure of Structures 1
Structural Failure Based on Material Performance / l
Concepts of Linear Elastic Fracture Mechanics / 4
Fracture Mechanics of Concrete and Rock / 9
Structural Design in Terms of Failure Process / 12
141 Serviceability State / 12
142 Strength State / 19
Structure of Book / 29
Summary / 30
References / 31
2 Principles of Linear Elastic Fracture Mechanics
Airy Stress Functions for Plane Problems in
Elasticity / 33
Complex Stress Function / 35
Elastic Stress and Displacement Fields at Crack
Tip / 36
Stress Intensity Factors and Crack Opening
Displacements for Some Useful Geometries / 39
241 Uniaxial Tensile Plate with Center Crack / 40
242 Uniaxial Tensile Plate with Double-Edge
Crack / 41
VI
TABLE 0F coNTENTS
Uniaxial Tensile Plate with Single—Edge
Crack / 42
Three-Point Bend Beams / 43
Center-Crack Plate Subjected to Wedge
Forces / 44
Single-Edge Crack Plate Subjected to Wedge
Forces / 45
Superposition of Stress Intensity Factors / 45
Plastic Zone at Crack Tip / 47
Griffith Fracture Theory / 51
Strain Energy Release Rate for Crack Propagation / 53
Relationship between Stress Intensity Factor and Strain
Energy Release Rate / 57
2 10 Measurement of K” for Metallic Materials / 59
2 11 Design Based on Linear Elastic Fracture
Mechanics / 63
2 12 Summary / 64
References / 64
3 Principles of Nonlinear Fracture Mechanics
Energy Principles fer Crack Propagation in Nonlinear
Materials / 66
J—Integral for Nonlinear Elastic Materials / 70
Fracture Resistance (R-Curve) / 72
Crack Tip Opening Displacement / 77
Measurements of J—R Curves and CTOD for Metallic
Materials / 81
Summary / 85
References / 86
4 Structure and Fracture Process of Concrete
Constituents and Microstnicture of Concrete / 88
4 2 Fracture Behavior and Strain Localization of
Concrete / 90
TABLE OF CONTENTS vil
4 3 Fracture Process Zone and Toughening
Mechanisms / 95
Experimental Determination of Fracture Process
Zone / 97
441 Laser Holographic Interferometry / 97
442 Acoustic Emission / 100
443 Dye Penetration / 101
Influence of Fracture Process Zone on Fracture Behavior
of Concrete / 105
4 6 Summary / 107
References / 107
5 Nonlinear Fracture Mechanics for Mode I Quasi-Brittle
Fracture
General Description of Quasi-Brittle Fracture / 110
5 2 Fictitious Crack Approach / 116
Energy Dissipation for Fictitious Crack / 116
Fictitious Crack Model by Hillerborg / 117
Crack Band Model by Bazant and Oh / 120
Determination and Influence of a(w)
Relationship / 123
Some Comments on Fictitious Crack
Approach / 127
Effective—Elastic Crack Approach / 127
Energy Dissipation for Effective-Elastic
Crack / 127
Two-Parameter Fracture Model by Jenq and
Shah / 129
Size Effect Model by Bazant and Kazemi / 135
Effective Crack Model by Karihaloo and
Nallathambi / 140
Effective Crack Model by Refai and
Swartz / 141
Some Comments on Effective—Elastic Crack
Approach / 142
VIII TABLE OF CONTENTS
Comparison between Fictitious and Effective-Elastic
Crack Approaches / 144
Finite Element Analysis I 146
551 Discrete Crack Approach / 147
552 Smeared Crack Approach / 150
553 Software Available / 153
Summary / 156
References / 156
6 Test Methods to Determine Mode I Fracture Properties
for Concrete and Rock
Introduction I 162
RILEM Method of Hillerborg et al , G; / 162
621 Specimens and Test Procedure / 162
622 Test Results and Calculations / 164
623 Example / 170
RILEM Method of Jenq and Shah, KL and
CTOD: / 171
631 Specimen and Test Procedure / 171
632 Test Results and Calculations / 174
633 Example / 181
RILEM Method of Bazant G, and c, I 182
641 Specimen and Test Procedure / 182
642 Test Results and Calculations / 183
643 Example / 189
Some Comments on RILEM Methods / 191
Other Methods for Measuring Fracture Toughness of
Concrete / 192
661 Karihaloo and Nallathambi Method for
Kic / 192
Swanz and Refai Method for Kfc / 196
Li et al Method for Stress—Separation Curve of
Material I 198
Brühwiler et a1 Method Using Wedge
Splitting / 202
Tang et a1 Method for Kit and CTODC Based on
Peak-Load Measurement / 206
TABLE OF CONTENTS ix
Relationship between (Kfc, CTODC) and (GI, cf) / 210
671 Equivalency between (Kf6, CTODC) and
(6,, cf) / 210
Relationship between Kfc and GI / 210
Relationship between CTODC and cf / 211
6731 Tensile specimen with center
crack / 212
6732 Three—Point Bend Beam / 213
Results and Discussion / 215
ISRM Methods for Rock / 217
Other Methods for Rock / 231
691 Semicircular Core Specimen / 231
692 Direct-Load Core / 236
6 10 Summary / 237
References / 238
7 Fracture Resistance Curves (Ft-Curves) tor Quasi-Brittle
Materials
General Description of R-Curves / 243
R-Curves Based on Bridging Mechanisms / 247
721 R-Curve Proposed by Foote et a1 / 247
722 Simplified R-Curve by Mai et a1 / 250
723 R-Curves with ch =0/ 252
R-Curve Proposed by Ouyang et a1 / 253
731 Differential Equation Governing R-Curves and
Its Solution / 253
Determination of Parameters oz, ß 1, and
B; / 255
R-Curve for Finite-Size Specimen / 258
Fracture Response Predicted from
R-Curves / 259
Comparison and Discussion / 260
R-Curve Proposed by Bazant et a1 / 261
741 R-Curve from Size Effect Model / 263
742 Comparison and Discussion / 265
x TABLE 0F CONTENTS
7 5 Summary / 267
References / 267
8 Fracture Mechanics for Other Deformation Modes 271
8 1 Stress Fields at Tip of Planar Mixed-Mode Crack / 271
8 2 Classical Mixed-Mode Failure Theories / 273
Maximum Circumferential Stress
Criterion / 273
Minimum Strain Energy Density Criterion / 275
Maximum Circumferential Strain
Criterion / 279
Shear—Friction Criterion / 280
Other Failure Theories l 282
Comments / 282
Other Fracture Mechanics Models / 282
Models Based on Fracture Energies G, and
G“ I 282
Jenq and Shah Model / 283
Planar Mixed-Mode Testing Methods / 284
Three-Point Bend Beam / 284
Four-Point Bend Beam / 292
8421 Results by Bazant and Pfeifl’er / 294
8422 Results by lngrafl ea e! al / 295
8423 Results by Swartz er al / 300
8424 Resultsfrom RILEM Round-Robin
Test / 306
8425 Comments on Four-Point Bend
Beam / 313
Biaxial Test Rigs / 313
8431 Test at Technical University of
Delft / 313
8432 Test at Lund Institute of
Technology / 315
Tests at Cardiff / 320
Arcan specimen / 323
Semicircular Bend Specimen / 325
Applications to Rock l 328
TABLE OF CONTENTS xi
Nonplanar Mixed-Mode Fracture / 335
Summary / 339
References / 342
9 Applications of Fracture Mechanics to Concrete
Structures
Behavior of Concrete Structures and Fracture
Mechanics / 347
Size Effect on Nominal Strength of Plain Concrete
Specimen / 353
Tension of Reinforced Concrete Members / 357
931 Energy Criterion for Crack Propagation / 359
932 Determination of Strain, Debonding, and Sliding
Energies / 360
Relationships among Crack Spacing, Strains, and
Stresses / 365
Comparison and Discussion / 366
Bending of Reinforced Concrete Beams / 370
941 Hillerborg Model / 370
942 Carpintcri and Baluch Model / 374
Minimum Reinforcement Ratios of Concrete
Members / 378
951 Minimum Reinforcement Ratios for Tensile
Members / 379
Minimum Reinforcement Ratios for Flexural
Members / 381
Pullout Failure of Bar / 385
Shear in Reinforced Concrete Beams / 388
971 Bazantetal Model / 388
972 Jenq and Shah Model / 392
973 Gustafsson and Hillerborg Model / 395
974 Discussions / 396
Torsion in Reinforced Concrete Beams / 398
Combined Loadings and Interaction Diagrams / 398
9 10 Anchor Bolts / 400
9 11 Concrete Pipes / 403
XI!
TABLE OF CONTENTS
9 12 Concrete Dams / 406
9 12 1 Case Study: Kölnbrein Dam / 406
9 12 1 1 Introduction ofDam / 407
9 12 1 2 Downstream Crack System of
Dam / 407
9 12 1 3 Upstream Crack System of
Dam / 411
9 12 2 Other Studies of Dams / 414
9 13 Failure of Dissimilar Interfaces and Joints / 415
9 14 Summary / 419
References / 419
Fracture Mechanics and Compressive Failure 425
10 1 Experimental Observations of Crack Propagation and
Damage / 425
10 2 Fracture Models for Failure Resulting from Interfacial
Bond Cracks / 433
10 3 Multilevel Fracture Model of Zaitsev and
Wittmann / 435
10 3 1 Concrete as Multilevel Hierarchy System / 435
10 3 2 Crack Propagation in Hardened Cement
Paste / 437
10 3 3 Crack Propagation in Concrete / 438
10 4 Mixed-Mide Fracture in Compression / 443
10 5 Summary / 449
References / 450
Damage Mechanics and Fracture Mechanics 452
11 1 Introduction / 452
11 2 Phenomenological Models Based on Scalar Damage
Variable / 454
11 2 1 Scalar Representation of Material
Damage / 454
11 2 2 Scalar Damage Model by L¢land / 456
11 2 3 Scalar Damage Model by Mazars / 459
11 3 Micromechanical Evaluation of Isotropic Damage / 462
TABLE OF CONTENTS XIII
11 4 Micromechanical Scalar Damage Model by Karihaloo
et a1 / 467
11 4 1 Threshold Strain for Initiation of
Microcracks / 467
11 4 2 Nonlinear Response Prior to Peak Load / 468
Tension—Softening Response after Peak Load / 471
11 5 1 Model by Horii and Oritz / 471
11 5 2 Model by Karihaloo et a1 / 474
11 6 Influence of Microcracks on Fracture Toughness / 477
11 7 Summary / 481
References / 481
Other Areas in Application of Fracture Mechanics
Characterization of Toughening in Fiber-Reinforced
Concrete / 484
12 1 1 Toughening Mechanisms in Fiber—Reinforced
Concrete / 484
Mechanical Behavior of Fiber—Matrix
Interface / 488
12 121 Pullout ofAligned Fibers / 488
12 122 Pullout of Inclined Fibers / 495
Tensile‘Response of Fiber-Reinforced
Concrete / 499
12 1 4 Summary / 501
Fatigue and Fracture of Concrete / 502
12 2 1 Statistical Methods / 504
12 2 2 Damage Methodologies / 505
12 2 3 Fracture Mechanics Methods / 509-
12 2 4 Summary / 513
Creep of Concrete and Its Effect on Crack Growth and
Fracture / 514
12 3 1 Behavior of Concrete Beams Subjected to
Sustained Loads / 514
12 311 Results by Liu et al / 514
12 312 Results by Hansen / 518
12 313 Results by Zhou / 522
xiv TABLE OF CONTENTS
12 3 2 Load Rate Effects Determined Using Size
Effect Model / 522
12 3 3 Summary l 530
References / 530
Problems
Index
|
| any_adam_object | 1 |
| author | Shah, Surendra P. Swartz, Stuart E. Ouyang, Chengsheng |
| author_facet | Shah, Surendra P. Swartz, Stuart E. Ouyang, Chengsheng |
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| building | Verbundindex |
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| callnumber-first | T - Technology |
| callnumber-label | TA440 |
| callnumber-raw | TA440 |
| callnumber-search | TA440 |
| callnumber-sort | TA 3440 |
| callnumber-subject | TA - General and Civil Engineering |
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| ctrlnum | (OCoLC)32859906 (DE-599)BVBBV010570301 |
| dewey-full | 620.1/366 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.1/366 |
| dewey-search | 620.1/366 |
| dewey-sort | 3620.1 3366 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik Bauingenieurwesen Werkstoffwissenschaften / Fertigungstechnik |
| format | Book |
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| id | DE-604.BV010570301 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:55:12Z |
| institution | BVB |
| isbn | 0471303119 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007045676 |
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| spelling | Shah, Surendra P. Verfasser aut Fracture mechanics of concrete applications of fracture mechanics to concrete, rock, and other quasi-brittle materials Surendra P. Shah ; Stuart E. Swartz ; Chengsheng Ouyang New York [u.a.] Wiley 1995 XXXI, 552 S. zahrlr. graph. Darst. txt rdacontent n rdamedia nc rdacarrier A Wiley Interscience publication Literaturangaben Béton - Fissuration ram Béton - Rupture ram Roches - Rupture ram Rupture, Mécanique de la ram Concrete Fracture Fracture mechanics Rocks Fracture Bruchmechanik (DE-588)4112837-0 gnd rswk-swf Beton (DE-588)4006111-5 gnd rswk-swf Beton (DE-588)4006111-5 s Bruchmechanik (DE-588)4112837-0 s DE-604 Swartz, Stuart E. Verfasser aut Ouyang, Chengsheng Verfasser aut HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007045676&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Shah, Surendra P. Swartz, Stuart E. Ouyang, Chengsheng Fracture mechanics of concrete applications of fracture mechanics to concrete, rock, and other quasi-brittle materials Béton - Fissuration ram Béton - Rupture ram Roches - Rupture ram Rupture, Mécanique de la ram Concrete Fracture Fracture mechanics Rocks Fracture Bruchmechanik (DE-588)4112837-0 gnd Beton (DE-588)4006111-5 gnd |
| subject_GND | (DE-588)4112837-0 (DE-588)4006111-5 |
| title | Fracture mechanics of concrete applications of fracture mechanics to concrete, rock, and other quasi-brittle materials |
| title_auth | Fracture mechanics of concrete applications of fracture mechanics to concrete, rock, and other quasi-brittle materials |
| title_exact_search | Fracture mechanics of concrete applications of fracture mechanics to concrete, rock, and other quasi-brittle materials |
| title_full | Fracture mechanics of concrete applications of fracture mechanics to concrete, rock, and other quasi-brittle materials Surendra P. Shah ; Stuart E. Swartz ; Chengsheng Ouyang |
| title_fullStr | Fracture mechanics of concrete applications of fracture mechanics to concrete, rock, and other quasi-brittle materials Surendra P. Shah ; Stuart E. Swartz ; Chengsheng Ouyang |
| title_full_unstemmed | Fracture mechanics of concrete applications of fracture mechanics to concrete, rock, and other quasi-brittle materials Surendra P. Shah ; Stuart E. Swartz ; Chengsheng Ouyang |
| title_short | Fracture mechanics of concrete |
| title_sort | fracture mechanics of concrete applications of fracture mechanics to concrete rock and other quasi brittle materials |
| title_sub | applications of fracture mechanics to concrete, rock, and other quasi-brittle materials |
| topic | Béton - Fissuration ram Béton - Rupture ram Roches - Rupture ram Rupture, Mécanique de la ram Concrete Fracture Fracture mechanics Rocks Fracture Bruchmechanik (DE-588)4112837-0 gnd Beton (DE-588)4006111-5 gnd |
| topic_facet | Béton - Fissuration Béton - Rupture Roches - Rupture Rupture, Mécanique de la Concrete Fracture Fracture mechanics Rocks Fracture Bruchmechanik Beton |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007045676&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT shahsurendrap fracturemechanicsofconcreteapplicationsoffracturemechanicstoconcreterockandotherquasibrittlematerials AT swartzstuarte fracturemechanicsofconcreteapplicationsoffracturemechanicstoconcreterockandotherquasibrittlematerials AT ouyangchengsheng fracturemechanicsofconcreteapplicationsoffracturemechanicstoconcreterockandotherquasibrittlematerials |