## Fracture Mechanics of Concrete Structures: Proceedings of the First International Conference on Fracture Mechanics of Concrete Structures (FraMCoS1), held at Beaver Run Resort, Breckenridge, Colorado, USA, 1-5 June 1992.This conference is the first in a series of conferences dedicated to Fracture Mechanics of Concrete Structures. Due to the recent explosion of interest in research on fracture in concrete, the conference has brought together the world's leading researchers in fracture of concrete and this book contains the proceedings. |

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### Contents

STATEOFTHEART REPORT | 3 |

Essential Results from Linear Elastic Fracture Mechanics | 24 |

Nonlinear Fracture Models with Softening Zone | 28 |

Special Nonlinear Fracture Models Based on Adaptations | 53 |

Experimental or Analytical Determination of Material | 66 |

Factors Influencing Fracture Parameters | 104 |

Crack Systems | 113 |

Concluding Remarks | 119 |

Damage Detection for Concrete Piles Using a Simple | 573 |

LongTerm Tests on Concrete According to Micromechanics | 583 |

Spalling Fracture and Continuous Damage in ElasticBrittle Materials | 593 |

Dynamic Fracture Invited Paper | 608 |

Fracture of Concrete Under Torsional Impact Load Conditions | 617 |

How to Quantify Concrete | 629 |

Is the Dynamic Behaviour of Concrete Influenced by | 639 |

Shear Fracture in Cementitious Composites Principal Lecture | 659 |

Derivations of Some Formulas | 140 |

Stability of a Crack in a Linear Viscoelastic TensionSoftening | 155 |

Interface Fracture Mechanics of Concrete Composites | 163 |

Markov Process Model for Random Growth of Crack with RCurve | 179 |

Influence of Transverse Compression on Mode I Fracture of Concrete | 193 |

SFPZ Model for Concrete SEN Specimen | 208 |

Fundamental Aspects of StrainSoftening Descriptions Principal Lecture | 227 |

Material Structure and Tension Softening Properties of Concrete | 239 |

Damage Models and Modelling Strategies for Concrete Structures | 260 |

A MicromechanicsBased Continuum Theory for Strain Localization | 275 |

Aspects of Damage Related to Structural Response | 293 |

Damage Theory for Concrete Beams | 309 |

Mesh Adaptivity in Transient Finite Element Analysis with | 321 |

Simulation of Arbitrary Cohesive Crack Propagation Invited Paper | 339 |

ThermoSeismic Analysis of Concrete Gravity Dams | 361 |

The Use of Various Crack Models in F E Analysis of Reinforced | 379 |

Fracture Mechanics of Concrete Dams Invited Paper | 404 |

Fracture Mechanics of Concrete Rock and Interface | 413 |

Material Brittleness from Nonlinear Fracture Mechanics | 430 |

Why Direct Tension Specimens Flex and Break at Midlength | 443 |

Fracture Parameters of Concrete as Determined by Means of Wedge | 461 |

Passive and Active Evaluation of Stability in Concrete Structures | 476 |

Detection of Crack Development by RealTime Holographic | 491 |

Tensile Modeling and Experimental Determination of Fracture | 497 |

Size Effect of the Concrete Cone Failure Load of Anchor Bolts | 517 |

Influence of Disorder on the Fracture Process of Mortar | 536 |

Effect of Size and Compressive Strength on the Fracture Energy | 550 |

Fracture Toughness of Cementitious Materials Using Small | 567 |

Mixed Mode Fracture in Concrete | 677 |

Mixed Mode Concrete Fracture An Experimental Analysis | 695 |

Macroscopic Study of Crack Face Bridging Phenomenon | 713 |

Size Effect in Bending Failure of Reinforced Concrete Beams | 729 |

Crack Width in R C Beams A Fracture Mechanics Approach | 747 |

Evaluation of Steel Stresses in Reinforced and Prestressed Concrete | 763 |

An Application | 782 |

Bond Properties in FiberCement and AggregateCement | 797 |

Characterisation of Interfacial Properties in Steel FibreCement | 821 |

Fracture Mechanics Implications in the Bond and Development | 836 |

Development of Concrete Tensile Fracture and ConcreteRebar | 849 |

Round Robin Analysis and Tests of Anchor Bolts | 865 |

Influence of Crack Width on the Concrete Cone Failure Load | 876 |

Are Fracture MechanicsBased Methods Useful for Characterizing | 885 |

Material Model for High Strength Concrete Exposed | 894 |

Stiffness Degradation of Tension Softening Behavior in Concrete | 900 |

Testing and Modelling | 906 |

Simulation of Cycling BondSlip Behavior | 912 |

RCurve Modeling of Rate Effect in Static Fracture and | 918 |

A Fracture Mechanics Approach to Fatigue of Plain Concrete | 924 |

A Study on Fatigue Life of Reinforced Concrete Beam with Multiple | 930 |

Drying Shrinkage Eigenstresses and Structural SizeEffect | 939 |

Fracture Mechanics Applications in the Analysis of Concrete | 951 |

Analysis of Shrinkage Cracks in Concrete by Fictitious Crack Model | 967 |

Characteristics of Fracture Responses of RateDependent | 981 |

997 | |

### Common terms and phrases

applied ASCE axial Bazant behavior bond brittle calculated cement composite compressive strength computed concrete beams concrete structures crack band crack growth crack length crack opening crack propagation crack tip crack width curve damage debonding deformation determined developed diagram distribution ductility elastic modulus Engineering equation fatigue fiber Figure finite element analysis fracture energy fracture mechanics Fracture of Concrete fracture process zone fracture toughness friction function geometry Hillerborg increase interface LEFM ligament linear elastic load-displacement loading rate matrix measured Mech mesh method microcracks microplane modulus mortar nonlinear nonlocal normal numerical obtained opening displacement parameters peak load plain concrete plane plastic predicted pull-out ratio rebars reinforced concrete reinforcing bars relation RILEM Shah shear shear strength shown in Fig shrinkage simulation smeared crack steel stiffness strain-softening stress intensity factor stress-strain surface Swartz tensile strength tensile stress tension softening test results theory uniaxial Young's modulus