Reconstruction of a 2D stress field around the tip of a sharp material inclusion

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68081723%3A_____%2F16%3A00465823" target="_blank" >RIV/68081723:_____/16:00465823 - isvavai.cz</a>

Result on the web

<a href="http://www.sciencedirect.com/science/article/pii/S2452321616302529" target="_blank" >http://www.sciencedirect.com/science/article/pii/S2452321616302529</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.prostr.2016.06.241" target="_blank" >10.1016/j.prostr.2016.06.241</a>

Result language

angličtina

Original language name

Reconstruction of a 2D stress field around the tip of a sharp material inclusion

Original language description

The stress distribution in the vicinity of a sharp material inclusion (SMI) tip exhibits a singular stress behavior. The strength of the stress singularity depends on material properties and geometry. The SMI is a special case of a general singular stress concentrator (GSSC). The stress field near a GSSC can be analytically described by means of Muskhelishvili plane elasticity based on complex variable function methods. Parameters necessary for the description are the exponents of singularity and generalized stress intensity factors (GSIFs). The stress field in the closest vicinity of an SMI tip is thus characterized by 1 or 2 singular exponents, and corresponding GSIFs. In order to describe a stress field further away from an SMI tip, the non-singular exponents, and factors corresponding to these non-singular exponents have to be taken into account. For given boundary conditions of the SMI, the exponents are calculated as an eigenvalue problem. Then, by formation of corresponding eigenvectors, the stress or displacement angular functions for each stress or displacement series term are constructed. The contribution of each stress or displacement series term function to the total stress and displacement field is given by the corresponding GSIF. The GSIFs are calculated by the over deterministic method. In the numerical example, the stress field for particular bi-material configurations and geometries is reconstructed using i) singular terms only ii) singular and non-singular terms. The reconstructed stress field polar plots are compared with FEA results.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

JL - Fatigue and fracture mechanics

OECD FORD branch

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Project

<a href="/en/project/GA16-18702S" target="_blank" >GA16-18702S: AMIRI − Aggregate-Matrix-Interface Related Issues in silicate-based composites</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2016

Confidentiality

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

Article name in the collection

21st European Conference on Fracture

ISBN

—

ISSN

2452-3216

e-ISSN

—

Number of pages

8

Pages from-to

1920-1927

Publisher name

Elsevier

Place of publication

Amsterdam

Event location

Catania

Event date

Jun 20, 2016

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

000387976801121