By Jan G.M. van Mier
The learn of fracture mechanics of concrete has constructed in recent times to the purpose the place it may be used for assessing the sturdiness of concrete constructions and for the advance of recent concrete fabrics. the decade has obvious a steady shift of curiosity towards fracture reports at more and more smaller sizes and scales. Concrete Fracture: A Multiscale procedure explores fracture houses of cement and urban in line with their real fabric structure.
Concrete is a fancy hierarchical fabric, containing fabric structural components spanning scales from the nano- to micro- and meso-level. hence, multi-scale ways are crucial for a greater figuring out of mechanical houses and fracture particularly. This quantity contains quite a few examples of fracture analyses on the micro- and meso-level. The publication offers types followed by means of trustworthy experiments and explains how those experiments are played. It additionally offers various examples of try tools and necessities for comparing quasi-brittle fabrics. extra importantly, it proposes a brand new modeling strategy in response to multiscale interplay capability and examines the comparable experimental demanding situations dealing with examine engineers and construction professionals.
The book’s complete insurance is poised to motivate new tasks for overcoming the problems encountered while appearing fracture experiments on cement on the micro-size/scale and smaller. the writer demonstrates how the bought effects can healthy into the bigger photo of the fabric technological know-how of concrete―particularly the layout of latest high-performance concrete fabrics that are placed to solid use within the improvement of effective and sturdy structures.
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Extra info for Concrete Fracture: A Multiscale Approach
This is the topic of Chapter 5: results are shown for the elastic properties of a lattice with particle overlay in 2D and 3D. A comparison is made with the upper and lower bounds for the elastic properties of composites from classical theories such as Hashin–Shtrikman (1963) and the Voigt/Reuss bounds. • In the following three chapters the fracture behavior of concrete subjected to tensile combined tensile and shear load, and (confined) compressive loading are presented. Results from both experiments and from numerical simulations with lattice-type models are shown.
15) where F1 and F2 are the geometrical functions for a normal load (Eq. 14)) and pure bending (see Eq. 16) below), respectively, and Cij are dimensionless crack compliances containing all information regarding the relations between normal load N, bending moment M, displacement u, and rotations φ. The crack compliances can only be computed numerically. It is beyond the scope of this book to include the full details of the solution, and the interested reader is referred to Marchand et al. (1986).
10 Stress–strain behavior of concrete subjected to uniaxial tension. (From Evans and Marathe. 1968. Mater. Struct. (RILEM), 1(1): 61–64. ) distributed deformations at the specimen’s ends. The FCM was developed with the now classical tensile test results of Evans and Marathe (1968) in mind. 10 some of their results are shown. 45 and an aggregate-to-cement ratio of 3:1 the stress–strain curves were measured at varying ages. 1a) stable softening curves were measured. These tests, together with those of Hughes and Chapman (1966) are probably the earliest known examples showing the softening behavior of concrete in tension.