DETERMINATION OF THE COEFFICIENTS OF ASYMPTOTIC CRACK—TIP STRESS EXPANSION. MIXED MODE LOADING OF THE PLATE

Autor:	L. V. Stepanova, O. N. Belova
Rok vydání:	2020
Předmět:	010101 applied mathematics Stress (mechanics) 020303 mechanical engineering & transports Materials science 0203 mechanical engineering 02 engineering and technology 0101 mathematics Composite material Mixed mode 01 natural sciences
Zdroj:	Vestnik of Samara University. Natural Science Series. 26:40-62
ISSN:	2712-8954 2541-7525
DOI:	10.18287/2541-7525-2020-26-3-40-62
Popis:	The aim of the study is to calculate the coefficients of M. Williams asymptotic expansion of stress anddisplacement fields using the data of finite element modeling of a plate with an inclined central crack in a uniaxial tension field. In this work, we also simulated the loading of a half-disk with a vertical and oblique notch under conditions of three-point bending. The simulation was carried out in the multifunctional software SIMULIA Abaqus. The paper proposes an algorithm for calculating the coefficients. The program, written in the MAPLE computer algebra system, allows calculating any predetermined number of M. Williams expansioncoefficients (amplitude or scale factors) and uses the values of the stress tensor components at points in the vicinity of the crack and their coordinates as input. The analysis of the influence of the number of calculated coefficients on the accuracy of their determination is carried out. Recommendations on the choice of points for calculating the coefficients are given.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e6e8cc7a504befd24d639e25f7fca29e https://doi.org/10.18287/2541-7525-2020-26-3-40-62 Zobrazit plný text záznamu