PSI - Issue 28

Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2019) 000–000

www.elsevier.com/locate/procedia

ScienceDirect

Procedia Structural Integrity 28 (2020) 1768–1773

© 2020 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the European Structural Integrity Society (ESIS) ExCo Abstract In this study coefficients of the multi-parameter Williams series expansion for the stress field in the vicinity of the central crack in the rectangular plate and are obtained by the use of finite element analysis. The higher-order terms in the Williams asymptotic expansion are retained. It allows us to give more accurate estimation of stress, strain and displacement fields and to extend the domain of validity for the Williams series expansion. The higher-order coefficients are extracted from finite element method calculations implemented in multi-purpose software package Simulia Abaqus. The plate with a small central crack has been considered either. This kind of the cracked specimen has been utilized for comparison of coefficients of the Williams series expansion obtained from finite element analysis with the coefficients known from the theoretical solution based on the complex variable theory in plane elasticity. It is shown that the coefficients of the Williams series expansion match with good accuracy . © 2020 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the European Structural Integrity Society (ESIS) ExCo Keywords: stress field near the crack tip; Williams asymptotic solution; higher order terms; coefficients of the higher-order terms; finite element method, finite element analysis. 1. Introduction The multi-parameter approach for approximation of the crack-tip stress and displacement fields is widely used in linear fracture mechanics. This approach provides an accurate description of the near crack-tip fields. The basic idea t 1st Virtual European Conference on Fracture Numerical determination of coefficients of multi-parameter asymptotic expansion of the crack-tip stress field using FEM R.M. Zhabbarov a , L.V. Stepanova a * a Department of Mathematical Modelling in Mechanics, Samara National Research University, Moskovskoye shosse, 34, 443086, Samara, Russia

* Corresponding author. Tel.: +7 9277522102; fax:+784626743. E-mail address: Stepanova.lv@ssau.ru

2452-3216 © 2020 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the European Structural Integrity Society (ESIS) ExCo

2452-3216 © 2020 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the European Structural Integrity Society (ESIS) ExCo 10.1016/j.prostr.2020.10.153