Application of Fracture Mechanics to Cementitious Composites

1. Front Matter

   Pages I-XI

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2. Advances in Nonlinear Fracture Mechanics

   1. Front Matter

      Pages 1-1

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   2. Non-Linear Response of Concrete: Interaction of Size, Loading Step and Material Property

      • G. C. Sih

      Pages 3-23

   3. Fracture Process Zone of Concrete

      • A. S. Kobayashi, N. M. Hawkins, D. B. Barker, B. M. Liaw

      Pages 25-50

   4. Nonlinear Analysis for Mixed Mode Fracture

      • R. Ballarini, S. P. Shah, L. M. Keer

      Pages 51-83

3. Fracture Processes in Cement Composites: Experimental Observations

   1. Front Matter

      Pages 85-85

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   2. On the Cracking in Concrete and Fiber-Reinforced Cements

      • Sidney Diamond, Arnon Bentur

      Pages 87-140

   3. Fracture and Damage Mechanics of Concrete

      • Dominique Francois

      Pages 141-156

   4. Fracture Processes in Fibre Reinforced Cement Sheets

      • A J Majumdar, P L Walton

      Pages 157-185

   5. Some Aspects of Experimental Techniques

      • L. Cedolin

      Pages 187-193

4. Numerical Modeling of Fracture

   1. Front Matter

      Pages 195-195

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   2. Continuum Model for Progressive Cracking and Identification of Nonlinear Fracture Parameters

      • Zdeněk P. Bažant, Jin-Keun Kim, Phillip Pfeiffer

      Pages 197-246

   3. Non-Linear Fracture Models for Discrete Crack Propagation

      • Anthony R. Ingraffea, Walter H. Gerstle

      Pages 247-285

   4. Interpretation of the Griffith Instability as a Bifurcation of the Global Equilibrium

      • Alberto Carpinteri

      Pages 287-316

5. Experimental Methods of Determining Fracture Parameters

   1. Front Matter

      Pages 317-317

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   2. Nonlinear Fracture Parameters for Cement Based Composites: Theory and Experiments

      • Y. S. Jenq, S. P. Shah

      Pages 319-359

   3. Size Effects in the Experimental Determination of Fracture Mechanics Parameters

      • H. K. Hilsdorf, W. Brameshuber

      Pages 361-397

   4. Fracture Measurements of Cementitious Composites

      • Y. W. Mai

      Pages 399-429

   5. Fracture Resistance Parameters for Cementitious Materials and their Experimental Determinations

      • V. C. Li

      Pages 431-449

6. Damage and Continuum Modeling

   1. Front Matter

      Pages 451-451

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Portland cement concrete is a relatively brittle material. As a result, mechanical behavior of concrete, conventionally reinforced concrete, prestressed concrete, and fiber reinforced concrete is critically influenced by crack propagation. It is, thus, not surprising that attempts are being made to apply the concepts of fracture mechanics to quantify the resistance to cracking in cementious composites. The field of fracture mechanics originated in the 1920's with A. A. Griffith's work on fracture of brittle materials such as glass. Its most significant applications, however, have been for controlling brittle fracture and fatigue failure of metallic structures such as pressure vessels, airplanes, ships and pipe­ lines. Considerable development has occurred in the last twenty years in modifying Griffith's ideas or in proposing new concepts to account for the ductility typical of metals. As a result of these efforts, standard testing techniques have been available to obtain fracture parameters for metals, and design based on these parameters are included in relevant specifications. Many attempts have been made, in the last two decades or so, to apply the fracture mechanics concepts to cement, mortar, con­ crete and reinforced concrete. So far, these attempts have not led to a unique set of material parameters which can quantify the resistance of these cementitious composites to fracture. No standard testing methods and a generally accepted theoretical analysis are established for concrete as they are for metals.

• cement
• composite
• concrete
• corrosion
• damage
• fracture
• fracture mechanics
• modeling
• stability

• Department of Civil Engineering, Northwestern University, Evanston, USA

  S. P. Shah

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