Book ChapterDOI
Mechanical Properties of Cracked Solids: Validity of the Self-Consistent Method
H. Horii,K. Sahasakmontri +1 more
- pp 137-159
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TLDR
In this article, the authors evaluate the overall elastic moduli of materials containing inhomogeneities and find the relationship between the quantities and the overall properties of these materials, based on the density, orientation, and distribution of cracks.Abstract:
The evaluation of overall elastic moduli of materials containing inhomogeneities is one of the classical problems in micromechanics. Crack is one of the typical examples of inhomogeneities. The overall properties of solids containing cracks depend on the density, orientation, and distribution of cracks. To describe the overall response of such solids under applied stresses, some quantities are necessary that characterize the arrangement of cracks, and also the relationship between the quantities and the overall properties needs to be found.read more
Citations
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Book ChapterDOI
Elastic Solids with Many Cracks and Related Problems
TL;DR: In this article, the impact of interactions on individual cracks, particularly on the stress intensity factors (SIFs), and the effective elastic properties of solids with many cracks are discussed.
Journal ArticleDOI
Micromechanical Damage Models for Brittle Solids. Part I: Tensile Loadings
TL;DR: In this paper, a selfconsistent method is employed together with analytical solutions for weakly damaged brittle solids in a multi-dimensional micromechanical anisotropic damage model.
Journal ArticleDOI
Solids with periodically distributed cracks
TL;DR: In this paper, a systematic method is presented for estimating the overall properties of solids with periodically distributed cracks, in view of the periodicity, the displacement, strain and stress fields of the cracked solid can be expressed in Fourier series.
Journal ArticleDOI
A Three-Dimensional Statistical Micromechanical Theory for Brittle Solids with Interacting Microcracks:
J.W. Ju,K.H. Tseng +1 more
TL;DR: In this paper, a three-dimensional statistical micromechanical theory is presented to in- vestigate effective elastic moduli of brittle solids with many randomly located, penny-shaped microcracks.
Journal ArticleDOI
Microcrack arrays in isotropic solids
H. Deng,Sia Nemat-Nasser +1 more
TL;DR: In this article, exact expressions of the crack opening displacements and the corresponding inelastic strains are obtained for crack arrays embedded in (two-dimensional) isotropic or orthotropic elastic solids which may be three-dimensionalally isotropically or transversely isotropical.
References
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Journal ArticleDOI
Elastic moduli of a cracked solid
TL;DR: In this paper, a self-consistent method for the elastic moduli of bodies containing randomly distributed flat cracks, with or without fluid in their interiors, is proposed and general concepts are outlined for arbitrary cracks and explicit derivations together with numerical results are given.
Journal ArticleDOI
The effect of cracks on the compressibility of rock
TL;DR: In this article, it was shown that porosity can be determined quite precisely from compressibility measurements, in particular for material in which all porosity occurs as narrow cracks, and that a crack increases compressibility nearly as much as a spherical pore of the same diameter as the length of the crack.
Journal ArticleDOI
On cracks in rectilinearly anisotropic bodies
TL;DR: In this paper, the general equations for crack-tip stress fields in anisotropic bodies are derived making use of a complex variable approach and stress intensity factors, which permit concise representation of the conditions for crack extension, are defined and evaluated directly from stress functions.
Book ChapterDOI
Variational and Related Methods for the Overall Properties of Composites
TL;DR: In this paper, the authors focus on variational and related methods for the overall properties of composites, such as fiber-reinforced composites or polycrystals, whose properties vary in a complicated fashion from point to point over a small, microscopic length scale, while they appear on average to be uniform.