The problem of effective moduli of cracked solids is critically reviewed. Various approaches to the problem are discussed; they are further assessed by comparing their predictions to results for sample deterministic arrays. These computer experiments indicate that the approximation of non-interacting cracks has a wider than expected range of applicability. Some of the deficiencies of various approximate schemes seem to be related to inadequacy of the conventionally used crack density parameter (insensitive to mutual positions of cracks). An alternative parameter that has this sensitivity, is suggested. Finally, the problem of effective moduli is discussed in the context of “damage mechanics”. It is argued that, contrary to the spirit of many damage models, there is no direct quantitative correlation between progression of a microcracking solid towards fracture and deterioration of its stiffness; thus, the effective moduli may not always serve as a reliable indicator of damage.
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August 1992
Review Articles
Effective Elastic Properties of Cracked Solids: Critical Review of Some Basic Concepts
Mark Kachanov
Mark Kachanov
Department of Mechanical Engineering, Tufts University, Medford MA 02155
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Mark Kachanov
Department of Mechanical Engineering, Tufts University, Medford MA 02155
Appl. Mech. Rev. Aug 1992, 45(8): 304-335 (32 pages)
Published Online: August 1, 1992
Article history
Online:
April 30, 2009
Citation
Kachanov, M. (August 1, 1992). "Effective Elastic Properties of Cracked Solids: Critical Review of Some Basic Concepts." ASME. Appl. Mech. Rev. August 1992; 45(8): 304–335. https://doi.org/10.1115/1.3119761
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