Stiffness evaluation for solids containing dilute distributions of inclusions and microcracks

Y. Huang, K. X. Hu, A. Chandra

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Materials, such as ceramics, intermetallics, and rocks, contain varying amounts of inhomogeneities, and the matrix material is vulnerable to microcracking in the neighborhood around these inhomogeneities. In an attempt to model the micromechanical aspects of this type of material, a solid containing dilute inclusions surrounded by cracks is investigated in this paper. The dilute-inclusion assumption neglects any interactions among different inclusion-crack clusters, but local inclusion-crack and crack-crack interactions are taken into account fully. It is shown that additional strain due to microcracking in a solid containing inclusions can be represented by an integral of crack opening displacements weighted by a nonuniform stress field induced by inclusions alone (in the absence of microcracking). An effective numerical approach is then developed to evaluate the effective moduli and additional macroscopic strain due to microcracldng in composites. It is found that an increase in the number of hard inclusions may not always lead to expected strengthening of the materials, if the matrix material is vulnerable to microcracking around inclusions and a relatively large microcracking zone develops. The limited calculations show that a quasi-static crack-growing process can lead to an actively growing crack being arrested or to a stationary crack starting to grow. This suggests that self-similar crack growth may not be enough to describe the behavior of mierocracked composites.

Original languageEnglish (US)
Pages (from-to)71-77
Number of pages7
JournalJournal of Applied Mechanics, Transactions ASME
Volume62
Issue number1
DOIs
StatePublished - Mar 1995

Fingerprint

microcracks
Microcracks
stiffness
cracks
Stiffness
inclusions
Microcracking
Cracks
evaluation
matrix materials
inhomogeneity
composite materials
crack opening displacement
Composite materials
stress distribution
Intermetallics
intermetallics
Crack propagation
Rocks
interactions

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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title = "Stiffness evaluation for solids containing dilute distributions of inclusions and microcracks",
abstract = "Materials, such as ceramics, intermetallics, and rocks, contain varying amounts of inhomogeneities, and the matrix material is vulnerable to microcracking in the neighborhood around these inhomogeneities. In an attempt to model the micromechanical aspects of this type of material, a solid containing dilute inclusions surrounded by cracks is investigated in this paper. The dilute-inclusion assumption neglects any interactions among different inclusion-crack clusters, but local inclusion-crack and crack-crack interactions are taken into account fully. It is shown that additional strain due to microcracking in a solid containing inclusions can be represented by an integral of crack opening displacements weighted by a nonuniform stress field induced by inclusions alone (in the absence of microcracking). An effective numerical approach is then developed to evaluate the effective moduli and additional macroscopic strain due to microcracldng in composites. It is found that an increase in the number of hard inclusions may not always lead to expected strengthening of the materials, if the matrix material is vulnerable to microcracking around inclusions and a relatively large microcracking zone develops. The limited calculations show that a quasi-static crack-growing process can lead to an actively growing crack being arrested or to a stationary crack starting to grow. This suggests that self-similar crack growth may not be enough to describe the behavior of mierocracked composites.",
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Stiffness evaluation for solids containing dilute distributions of inclusions and microcracks. / Huang, Y.; Hu, K. X.; Chandra, A.

In: Journal of Applied Mechanics, Transactions ASME, Vol. 62, No. 1, 03.1995, p. 71-77.

Research output: Contribution to journalArticle

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