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

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F17%3APU121837" target="_blank" >RIV/00216305:26110/17:PU121837 - isvavai.cz</a>

Result on the web

<a href="https://www.fracturae.com/index.php/fis/article/view/1827" target="_blank" >https://www.fracturae.com/index.php/fis/article/view/1827</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3221/IGF-ESIS.39.14" target="_blank" >10.3221/IGF-ESIS.39.14</a>

Result language

angličtina

Original language name

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

Original language description

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

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

20102 - Construction engineering, Municipal and structural engineering

Project

<a href="/en/project/LO1408" target="_blank" >LO1408: AdMaS UP – Advanced Building Materials, Structures and Technologies</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Frattura ed Integrita Strutturale

ISSN

1971-8993

e-ISSN

—

Volume of the periodical

11

Issue of the periodical within the volume

39

Country of publishing house

IT - ITALY

Number of pages

14

Pages from-to

129-142

UT code for WoS article

000393177200014

EID of the result in the Scopus database

2-s2.0-85007439974