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Technical Brief

Morphological Instability of a Transversally Isotropic Solid Cylinder Under Stress

[+] Author and Article Information
Jérôme Colin

Institut P′, Université de Poitiers,
SP2MI-Téléport 2,
Futuroscope-Chasseneuil cedex 86962, France
e-mail: jerome.colin@univ-poitiers.fr

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received August 29, 2014; final manuscript received January 7, 2015; published online January 23, 2015. Assoc. Editor: George Kardomateas.

J. Appl. Mech 82(3), 034501 (Mar 01, 2015) (3 pages) Paper No: JAM-14-1402; doi: 10.1115/1.4029549 History: Received August 29, 2014; Revised January 07, 2015; Online January 23, 2015

The linear stability of the surface of a transversally isotropic cylinder submitted to uniaxial stress has been theoretically investigated with respect to the development by surface diffusion of longitudinal fluctuations of its radius. The effect of stress has been characterized on the instability threshold.

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Figures

Grahic Jump Location
Fig. 2

k˜c and k˜p versus K, with E1 = 104 GPa, ν1 = 0.337, G1 = 39.9 GPa, and E2 = 146.2 GPa, ν2 = 0.265, G2 = 46.5 GPa

Grahic Jump Location
Fig. 1

τ versus k˜ for different values of K, with E1 = 104 GPa, ν1 = 0.337, G1 = 39.9 GPa, and E2 = 146.2 GPa, ν2 = 0.265, G2 = 46.5 GPa

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