The effective compliance of spatially evolving planar wing-cracks

We present an analytic closed form solution for anisotropic change in compliance due to the spatial evolution of planar wing-cracks in a material subjected to largely compressive loading. A fully three-dimensional anisotropic compliance tensor is defined and evaluated considering the wing-crack mech...

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Bibliographic Details
Published inJournal of the mechanics and physics of solids Vol. 111; pp. 503 - 529
Main Authors Ayyagari, R.S., Daphalapurkar, N.P., Ramesh, K.T.
Format Journal Article
LanguageEnglish
Published London Elsevier Ltd 01.02.2018
Elsevier BV
Subjects
Anisotropic damage
Anisotropy
Compliance
Cracks
Kinematics
Spatial planar wing-cracks
Wing-crack compliance
Wing-crack compliance
Spatial planar wing-cracks
Anisotropic damage
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Summary:We present an analytic closed form solution for anisotropic change in compliance due to the spatial evolution of planar wing-cracks in a material subjected to largely compressive loading. A fully three-dimensional anisotropic compliance tensor is defined and evaluated considering the wing-crack mechanism, using a mixed-approach based on kinematic and energetic arguments to derive the coefficients in incremental compliance. Material, kinematic and kinetic parametric influences on the increments in compliance are studied in order to understand their physical implications on material failure. Model verification is carried out through comparisons to experimental uniaxial compression results to showcase the predictive capabilities of the current study.
ISSN:0022-5096
1873-4782
DOI:10.1016/j.jmps.2017.11.016