Mathematical modeling of three equal collinear cracks in an orthotropic solid

We consider a homogeneous elastic, orthotropic solid containing three equal collinear cracks, loaded in tension by symmetrically distributed normal stresses. Following Guz’s representation theorem and solving Riemann–Hilbert problems we determine the expressions of the complex potentials. Using the...

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Published inMeccanica (Milan) Vol. 51; no. 2; pp. 329 - 339
Main Authors Sadowski, T., Craciun, E. M., Răbâea, A., Marsavina, L.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.02.2016
Subjects
Automotive Engineering
Civil Engineering
Classical Mechanics
Computational Micromechanics of Materials
Cracks
Criteria
Displacement
Graphite fiber reinforced plastics
Graphite-epoxy composites
Mathematical models
Mechanical Engineering
Physics
Physics and Astronomy
Representations
Stresses
Maximum tangential stress criterion
Cracks interaction
Three equal collinear cracks
Riemann–Hilbert problem
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Summary:We consider a homogeneous elastic, orthotropic solid containing three equal collinear cracks, loaded in tension by symmetrically distributed normal stresses. Following Guz’s representation theorem and solving Riemann–Hilbert problems we determine the expressions of the complex potentials. Using the asymptotic analysis, we obtain the asymptotic values of the incremental stress and displacement fields. We determine the tangential stresses near the crack tips. Using the maximum tangential stress criterion and numerical computations we study the interaction problem for a Graphite-epoxy fiber reinforced composite material.
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ISSN:0025-6455
1572-9648
DOI:10.1007/s11012-015-0254-5