Combined mode loading (normal tracture model and in-plane shear) of the element of construction with in a~material with the linear-fractional creep principle

L. V. Stepanova ; T. B. Elekina

Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2009), pp. 123-139

Résumé

Approximate solution of the task about the crack, under synchronizing action of tensile and shearing loading, in the material, submitting to linear-fractional creep principle in the supposition of realization of plane deformation state is presented. Analytical solution of the task of defining strained deformation state in close proximity to the tip of the crack in the specimen under synchronizing action of tensile and shearing loading for different in value of the coefficient of the heterogeneity of loading, defining the sort of loading is found. It is shown that the stress field consists of six sectors inside of which the components of stress tensor are defined by different functional dependency. The boundaries of the sectors introduced are found numerically from the solution of the system of transcendental equations. The comparison of the approximate analytical solution with the numerical solution of the task for the material, sequent to the staid law of Bail Norton of the linear-fractional creep principle in the extreme case in the extreme case, when the index of non-linearity of the material ultimately grows is given.

Détail

Keywords: combined mode loading, coefficient of the heterogeneity of loading, strained deformation state in close proximity to the tip of the crack, linear – fractional creep principle.