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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

JL - Únava materiálu a lomová mechanika

OECD FORD obor

—

Projekt

<a href="/cs/project/GA16-18702S" target="_blank" >GA16-18702S: Problematika porušování v blízkosti rozhraní plniva a matrice kompozitů na silikátové bázi (AMIRI)</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2016

Kód důvěrnosti údajů

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

Název statě ve sborníku

21st European Conference on Fracture

ISBN

—

ISSN

2452-3216

e-ISSN

—

Počet stran výsledku

8

Strana od-do

1920-1927

Název nakladatele

Elsevier

Místo vydání

Amsterdam

Místo konání akce

Catania

Datum konání akce

20. 6. 2016

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000387976801121