|
Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2009, Issue 2(68), Pages 123–139
(Mi vsgu229)
|
|
|
|
This article is cited in 2 scientific papers (total in 2 papers)
Mechanics
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 Dept. of Mathematical Modelling in Mechanics, Samara State University, 443011, Russia
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
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.
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.
Received: 09.02.2009 Revised: 09.02.2009
Citation:
L. V. Stepanova, T. B. Elekina, “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”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2009, no. 2(68), 123–139
Linking options:
https://www.mathnet.ru/eng/vsgu229 https://www.mathnet.ru/eng/vsgu/y2009/i2/p123
|
Statistics & downloads: |
Abstract page: | 154 | Full-text PDF : | 111 | References: | 20 | First page: | 1 |
|