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SOBEK, J. FRANTÍK, P. VESELÝ, V.
Originální název
Analysis of accuracy of Williams series approximation of stress field in cracked body – influence of area of interest around crack-tip on multi-parameter regression performance
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
A study on the accuracy of an approximation of the stress field in a cracked body is presented. Crack-tip stress tensor is expressed using the linear elastic fracture mechanics (LEFM) theory in this work, more precisely via its multi-parameter formulation, i.e. by Williams power series (WPS). Determination of coefficients of terms of this series is performed using a least squares-based regression technique known as over-deterministic method (ODM) for which results from finite element (FE) method computation are usually taken as inputs. Main attention is paid to a detailed analysis of a suitable selection of FE nodes whose results serve as the inputs to the employed method. Two different ways of FE nodal selection are compared – nodes selected from the crack tip vicinity lying at a ring of a certain radius versus nodes selected more or less uniformly from a specified part of the test specimen body. Comparison of these approaches is made with the help of procedures developed by the authors which enable both the determination of the coefficients of terms of the analytical WPS approximation of the stress field based on the FE results and the backward reconstruction of the field (again using WPS) from those determined terms’ coefficients/functions. The wedge-splitting test (WST) specimen with a crack is taken as example for the study
Klíčová slova
Multi-parameter fracture mechanics, Williams power series, Crack-tip fields, Over-deterministic method, Higher order terms
Autoři
SOBEK, J.; FRANTÍK, P.; VESELÝ, V.
Vydáno
1. 1. 2017
Nakladatel
Gruppo Italiano Frattura
ISSN
1971-8993
Periodikum
Frattura ed Integrita Strutturale
Ročník
11
Číslo
39
Stát
Italská republika
Strany od
129
Strany do
142
Strany počet
14
URL
http://www.gruppofrattura.it/pdf/rivista/numero39/numero_39_art_14.pdf
Plný text v Digitální knihovně
http://hdl.handle.net/11012/180652
BibTex
@article{BUT131289, author="Jakub {Sobek} and Petr {Frantík} and Václav {Veselý}", title="Analysis of accuracy of Williams series approximation of stress field in cracked body – influence of area of interest around crack-tip on multi-parameter regression performance", journal="Frattura ed Integrita Strutturale", year="2017", volume="11", number="39", pages="129--142", doi="10.3221/IGF-ESIS.39.14", issn="1971-8993", url="http://www.gruppofrattura.it/pdf/rivista/numero39/numero_39_art_14.pdf" }