Subcritical stable growth of a penny-shaped crack in an aging viscoelastic body with cylindrical anisotropy |
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Authors: | A. A. Kaminsky G. V. Gavrilov |
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Affiliation: | (1) S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv |
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Abstract: | The paper studies the subcritical stable growth of a penny-shaped mode I crack in an aging linear viscoelastic body with cylindrical anisotropy under tensile loads applied at infinity. The equations of quasistatic crack growth are derived using the Volterra principle for a modified Dugdale model and the critical crack opening displacement as a failure criterion. The kernel of the operator that describes the viscoelastic crack opening is found using operator-valued continued fractions. As an example, the subcritical stable growth of a crack in a specific material is studied numerically __________ Translated from Prikladnaya Mekhanika, Vol. 43, No. 1, pp. 82–92, January 2007. |
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Keywords: | viscoelasticity penny-shaped crack safe load cylindrical anisotropy aging operator-valued continued fractions |
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