Journal ArticleDOI
Fractal nature of material microstructure and size effects on apparent mechanical properties
TLDR
In this paper, the problem of the size effects on tensile strength and fracture energy of brittle and disordered materials (concrete, rocks, ceramics, etc.) is reconsidered under a new and unifying light cast on by fractal geometry.About:
This article is published in Mechanics of Materials.The article was published on 1994-07-01. It has received 354 citations till now. The article focuses on the topics: Fracture mechanics & Fracture toughness.read more
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Journal ArticleDOI
Concrete fracture models: testing and practice
TL;DR: In this article, the authors reviewed the existing fracture models for concrete and the testing methods for fracture energy and other fracture characteristics and some new results on the relationship between fracture testing and size effect are presented.
Journal ArticleDOI
Scaling of Structural Failure
Zdenek P. Bazant,Er-Ping Chen +1 more
Abstract: This article attempts to review the progress achieved in the understanding of scaling and size ef fect in the failure of structures. Particular emphasis is placed on quasi brittle materials for which the size etTect is important and complicated. After reflections on the long history of size effect studies, attention is focused on three main types of size effects, namely the statistical size effect due to randomness of strength, the energy release size effect, and the possible size effect due to fractality of fracture or microcracks. Definitive conclusions on the applicability of these theories are drawn. Subsequently, the article discusses the application of the known size effect law for the measurement of material fracture properties, and the modeling of the size effect by the cohesive crack model, non local finite element models and discrete element models. Extensions to com pression failure and to the rate-dependent material behavior are also outlined. The damage con stitutive law needed for describing a microcracked material in the fracture process zone is dis cussed. Various applications to quasibrittle materials, including concrete, sea ice, fiber compos ites, rocks and ceramics are presented. There are 377 references included in this article.
Journal ArticleDOI
Size effect on structural strength: a review
TL;DR: A broad review of the problem of size effect or scaling of failure can be found in this paper, where the main results of Weibull statistical theory of random strength are briefly summarized, and its applicability and limitations described.
Journal ArticleDOI
Size effects on nominal tensile strength of concrete structures: multifractality of material ligaments and dimensional transition from order to disorder
TL;DR: In this paper, the authors show that the nominal tensile strength of concrete structures is constant for relatively large sizes, whereas it decreases with the size for relatively small sizes, and that for smaller scales a self-similar distribution of Griffith cracks is prevalent, whereas for larger scales the disorder is not visible, the size of defects and heterogeneities being limited.
Journal ArticleDOI
Particle size effect on EPS lightweight concrete compressive strength: Experimental investigation and modelling
K. Miled,Karam Sab,R. Le Roy +2 more
TL;DR: In this paper, a phenomenological model has been proposed with a view to explaining the expanded polystyrene (EPS) concrete particle size effect and predicting its normalized compressive strength according to the concrete (macro) porosity (p) and to the ratio ϕ l c, where (lc) is the width of the EPS concrete matrix fracture process zone (FPZ).
References
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Journal ArticleDOI
The Phenomena of Rupture and Flow in Solids
TL;DR: In this article, the authors investigated the effect of surface scratches on the mechanical strength of solids, and some general conclusions were reached which appear to have a direct bearing on the problem of rupture, from an engineering standpoint, and also on the larger question of the nature of intermolecular cohesion.
Book
Fractal Geometry: Mathematical Foundations and Applications
TL;DR: In this article, a mathematical background of Hausdorff measure and dimension alternative definitions of dimension techniques for calculating dimensions local structure of fractals projections of fractality products of fractal intersections of fractalities.
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Analysis of Stresses and Strains Near the End of a Crack Traversing a Plate
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Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture
TL;DR: In this paper, the Widom-Kadanoff scaling laws arise naturally from these differential equations if the coefficients in the equations are analytic at the critical point, and a generalization of the Kadanoff scale picture involving an "irrelevant" variable is considered; in this case the scaling laws result from the renormalization-group equations only if the solution of the equations goes asymptotically to a fixed point.