Micromechanics as a basis of stochastic continuum damage mechanics

Research output: Contribution to journalConference articlepeer-review


We study damage formation (brittle crack initiation and propagation) of unidirectional matrix-inclusion composite materials with either randomly or periodically distributed inclusions (fibers). We focus our attention on the out-of-plane elasticity (or transverse conductivity) of composites with isotropic phases, both of which have elastic-brittle response in damage. We use a numerical simulation method based on a very fine two-dimensional finite-difference mesh, whereby damage evolution is simulated by sequentially removing/breaking bonds in this lattice in accordance with the state of stress/strain concentrations. The composite systems are specified by two parameters: stiffness ratio and strain-to-failure ratio of both phases. In particular we address the following aspects: basic classification and parameter dependence of effective constitutive responses, geometric patterns of damage, varying degrees of randomness of the inclusions' arrangements, and mesh resolution of continuum phases.

Original languageEnglish (US)
Pages (from-to)131-141
Number of pages11
JournalAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
StatePublished - 1994
Externally publishedYes
EventProceedings of the 1994 International Mechanical Engineering Congress and Exposition - Chicago, IL, USA
Duration: Nov 6 1994Nov 11 1994

ASJC Scopus subject areas

  • Mechanical Engineering


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