Mechanical Damage and Crack Growth in Concrete: Plastic Collapse to Brittle Fracture

ISBN-13: 9789024732333 / Angielski / Twarda / 1986 / 234 str.

A. Carpinteri; Alberto Carpinteri

Opis

Following Volumes III and IV that dealt with the fracture mechanics of concrete emphasizing both material testing and structural application in general, it was felt that specimen size and loading rate effects for concrete require further attention. The only criterion that has thus far successfully linearized the highly nonlinear crack growth data of concrete is the strain energy density theory. In particular, the crack growth resistance curves plotting the strain energy density factor versus crack growth known as the SR-curves are straight lines as specimen size and loading steps or rates are altered. This allows the extrapolation of data and provides a useful design methodology. This book is unique in that it is devoted specifically to the application of the strain energy density theory to civil engineering structural members made of concrete. Analyzed in detail is the strain softening behavior of concrete for a variety of different components including the influence of steel reinforcement. Permanent damage of the material is accounted for each increment of loading by invoking the mechanism of elastic unloading. This assumption is justified in concrete structures where the effective stiffness depends primarily on the crack growth rate and load history. Crack growth data are presented in terms of SR-curves with emphases placed on scaling specimen size which alone can change the mode of failure from plastic collapse to brittle fracture. Loading rate effects can also be scaled to control failure by yielding and fracture.

Recenzje

`... extremely useful to researchers involved in the nature of cracks through granular materials.'
Zentralblatt für Mathematik und ihre Grenzgebiete/Mathematical Abstracts, Vol. 635.

Spis treści

1. Historical review: strength of materials and fracture mechanics.- 1.1 Classical theories of failure.- 1.2 Crack tip stress intensity factor and energy release rate.- 1.3 Other fracture criteria.- References.- 2. Fracture of concrete and brittle materials.- 2.1 Crack surface friction.- 2.2 Statistical theories.- 2.3 Mechanical damage and strain-softening behavior of concrete.- 2.4 Strain energy density theory.- References.- 3. Three-point bending of slab with edge crack.- 3.1 Step-by-step analysis of material damage and crack growth.- 3.2 Effect of material properties.- 3.3 Load step influence on crack growth.- 3.4 Scaling of geometrically similar specimens.- References.- 4. Center cracked slab in tension.- 4.1 Introduction.- 4.2 Influence of initial crack length.- 4.3 Loading step variation.- 4.4 Size scale effect of center cracked slab.- References.- 5. Off-center compression of slab with edge crack.- 5.1 Preliminary information.- 5.2 Load eccentricity effect.- 5.3 Variation in loading step.- 5.4 Scaling in size.- References.- 6. Steel reinforced beam with crack in bending.- 6.1 Traditional approach.- 6.2 Linear elastic fracture mechanics.- 6.3 Non-linear model with material damage and softening.- References.- 7. Panel with opening and diagonal cracks.- 7.1 Infilled frames and seismic loadings.- 7.2 Variation in opening size.- 7.3 Variation in loading step.- 7.4 Size scale effect of panel with opening.- References.- 8. Fracture testing and design.- 8.1 Model scaling and physical similitude.- 8.2 Experimental investigation.- 8.3 Statistical strength variation.- 8.4 Simplified models.- References.- Author index.