Open AccessMULTIPARAMETRIC ANALYSIS OF THE STRESS FIELD NEAR THE CRACK TIP
Author(s) -
Л. В. Степанова,
Pavel Roslyakov
Publication year - 2015
Publication title -
vestnik samarskogo universiteta. estestvennonaučnaâ seriâ
Language(s) - English
Resource type - Journals
eISSN - 2712-8954
pISSN - 2541-7525
DOI - 10.18287/2541-7525-2015-21-10-52-76
Subject(s) - asymptotic expansion , stress field , stress (linguistics) , field (mathematics) , asymptotic analysis , series (stratigraphy) , mathematics , mode (computer interface) , mathematical analysis , series expansion , stress intensity factor , geometry , structural engineering , fracture mechanics , finite element method , engineering , geology , computer science , pure mathematics , paleontology , linguistics , philosophy , operating system
The paper is devoted to analytical determination of coefficients of the Williams asymptotic expansion of the stress field in the neighborhood of two collinear crack tips in an infinite plate under mixed mode loading. On the basis of the Kolosof-Muskhelishvili approach the complete asymptotic expansion of the stress field in the vicinity of the crack tips of two collinear cracks of equal lengths under mixed mode loading is derived. The analysis of the higher order terms in the asymptotic expansion series is performed. It is clear that it is necessary to take into account the higher order terms.