Damage Mechanics of Cementitious Materials and Structures

by Pijaudier-Cabot, Gilles; Dufour, Frederic

• ISBN13: 9781848213401
• ISBN10: 1848213409
• Edition: 1st
• Format: Hardcover
• Copyright: 2012-01-17
• Publisher: Wiley-ISTE

Summary

The book, prepared in honor of the retirement of Professor J. Mazars, provides a wide overview of continuum damage modeling applied to cementitious materials. It starts from micro-nanoscale analyses, then follows on to continuum approaches and computational issues. The final part of the book presents industry-based case studies. The contents emphasize multiscale and coupled approaches toward the serviceability and the safety of concrete structures.

Author Biography

Gilles Pijaudier-Cabot is Professor of Civil Engineering at ISA BTP, University of Pau and Pays do I'Adour in France. Frdric Dufour is Professor at the Engineering School for Energy, Water and Environment of Grenoble INP in France.

Table of Contents

Preface	p. xi
Bottom-Up: From Atoms to Concrete Structures	p. 1
Introduction	p. 1
A realistic molecular model for calcium-silicate-hydrates	p. 2
Background	p. 3
Molecular properties of C-S-H	p. 5
From molecular properties to C-S-H microtexture	p. 7
Probing C-S-H microtexture by nanoindentation	p. 9
Does particle shape matter?	p. 9
Implementation for back analysis of packing density distributions	p. 11
Functionalized properties: nanogranular origin of concrete creep	p. 12
Conclusions	p. 15
Bibliography	p. 16
Poromeehanics of Saturated Isotropic Nanoporous Materials	p. 19
Introduction	p. 20
Results from molecular simulations	p. 22
Poromechanical model	p. 24
Nomenclature and definitions	p. 24
Effective pore pressure	p. 26
Thermodynamical equilibrium condition	p. 28
Constitutive equation of the effective pore pressure	p. 31
Effect on the volumetric strain	p. 33
Effect on the permeability	p. 34
Adsorption-induced swelling and permeability change in nanoporous materials	p. 37
Comparison with data by Day et al	p. 39
	p. 41
Variation of effective permeability	p. 41
Discussion - interaction energy and entropy	p. 42
Conclusions	p. 46
Acknowledgments	p. 47
Bibliography	p. 48
Stress-based Non-local Damage Model	p. 51
Introduction	p. 52
Non-local damage models	p. 57
Continuum damage theory	p. 57
Original integral non-local approach	p. 60
Non-local integral method based on stress state	p. 62
Numerical implementation	p. 65
Initiation of failure	p. 67
Bar under traction	p. 70
Global behavior	p. 71
Mechanical quantities in the FPZ	p. 72
Crack opening estimation	p. 75
Description of the cracking evolution in a 3PBT of a concrete notched beam	p. 79
Global behavior	p. 80
Cracking analysis	p. 81
Conclusions	p. 82
Acknowledgments	p. 84
Bibliography	p. 84
Discretization of Higher Order Gradient Damage Models Using Isogeometric Finite Elements	p. 89
Introduction	p. 89
Isotropic damage formulation	p. 91
Constitutive modeling	p. 92
Implicit gradient damage formulation	p. 95
Isogeometric finite elements	p. 97
Univariate B-splines and NURBS	p. 97
Multivariate B-splines and NURBS	p. 100
Isogeometric finite-element discretization	p. 101
Numerical simulations	p. 103
One-dimensional rod loaded in tension	p. 103
Three-point bending beam	p. 107
Conclusions	p. 115
Acknowledgments	p. 116
Bibliography	p. 116
Macro and Mesoscale Models to Predict Concrete Failure and Size Effects	p. 121
Introduction	p. 122
Experimental procedure	p. 125
Material, specimens and test rig descriptions	p. 125
Experimental results	p. 128
Size effect analysis	p. 131
Numerical simulations	p. 134
Macroscale modeling	p. 135
Mesoscale modeling approach	p. 140
Analysis of three-point bending tests	p. 143
Conclusions	p. 152
Acknowledgments	p. 153
Bibliography	p. 153
Statistical Aspects of Quasi-Brittle Size Effect and Lifetime, with Consequences for Safety and Durability of Large Structures	p. 161
Introduction	p. 161
Type-I size effect derived from atomistic fracture mechanics	p. 164
Strength distribution of one RVE	p. 164
Size effect on mean structural strength	p. 168
Size effect on structural lifetime	p. 170
Consequences of ignoring Type-2 size effect	p. 172
Conclusion	p. 177
Acknowledgments	p. 177
Bibliography	p. 178
Tertiary Creep: A Coupling Between Creep and Damage - Application to the Case of Radioactive Waste Disposal	p. 183
Introduction to tertiary creep	p. 184
Modeling of tertiary creep using a damage model coupled to creep	p. 185
Creep model	p. 186
Damage model	p. 188
Coupling between damage and creep	p. 188
Comparison with experimental results	p. 189
Application to the case of nuclear waste disposal	p. 190
Leaching of concrete	p. 191
Coupled mechanical and chemical damage	p. 192
Chemical damage	p. 193
Example of application: creep coupled to leaching	p. 194
Probabilistic effects	p. 194
Conclusions	p. 197
Bibliography	p. 198
Study of Damages and Risks Related to Complex Industrial Facilities	p. 203
Context	p. 203
Introduction to risk management	p. 204
Case study: computation process	p. 206
Identifying the owner's issues	p. 208
Simplifying the system	p. 208
Choosing the best models	p. 210
Defining the most realistic load boundaries	p. 210
Application	p. 212
Deformed structure after impact	p. 213
Damage variables of concrete	p. 214
Analysis of results	p. 217
Conclusion	p. 219
Acknowledgment	p. 220
Bibliography	p. 220
Measuring Earthquake Damages to a High Strength Concrete Structure	p. 221
Introduction	p. 221
Overview of the selected testing methods	p. 222
Two-storey HPC building	p. 223
Inducing damage - pseudo-dynamic testing procedures	p. 227
Input ground motion	p. 228
Earthquake responses	p. 230
Evaluating damage - forced vibration testing procedures	p. 236
Frequency responses	p. 238
Damage detection - analytical evaluation	p. 239
Modal analysis	p. 240
Finite-element model	p. 240
Model updating	p. 242
Regularization	p. 244
Results	p. 246
Summary and conclusions	p. 248
Bibliography	p. 249
List of Authors	p. 251
Index	p. 253
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