Numericke určení singularit napětí v bi-materiálovém tělese s trhlinou

Numerical investigation of stress singularities in cracked bimaterial body

článek v časopise ve Web of Science, Jimp

en

Composite materials or generally materials with interfaces are nowadays used in many varied engineering applications. In comparison with classical engineering materials the existence of material interface causes locally different stress distribution, which can strongly influence behaviour of whole structure and can have an important influence on failure mechanisms of such materials. The paper presented is devoted to the investigation of stress singularity exponents of a crack growing in a bimaterial body perpendicularly to the interface and touching the material interface. Discrepancies between value of stress singularity exponent in the centre of bimaterial body and on the free surface were found. The assumptions of linear elastic fracture mechanics (LEFM) and small scale yielding (SSY) are considered. For numerical calculations finite element analysis was used. Results obtained can contribute to a better understanding of failure of materials with interfaces.

Použití materiálů s rozhraními v praxi je čím dál častější. Přítomnost rozhraní významně ovlivňuje rozložení napětí v tělese. Článek je věnován určování exponentů singularity pro trhlinu kolmou a končící na bi-materiálovém rozhraní. Studovány jsou především rozdíly mezi povrchem tělesa a jeho středem, a to pomocí metody konečných prvků.

Composite materials or generally materials with interfaces are nowadays used in many varied engineering applications. In comparison with classical engineering materials the existence of material interface causes locally different stress distribution, which can strongly influence behaviour of whole structure and can have an important influence on failure mechanisms of such materials. The paper presented is devoted to the investigation of stress singularity exponents of a crack growing in a bimaterial body perpendicularly to the interface and touching the material interface. Discrepancies between value of stress singularity exponent in the centre of bimaterial body and on the free surface were found. The assumptions of linear elastic fracture mechanics (LEFM) and small scale yielding (SSY) are considered. For numerical calculations finite element analysis was used. Results obtained can contribute to a better understanding of failure of materials with interfaces.

bi-materiálové rozhraní, exponent singularity napětí, rohová singularita, obecný singulární koncentrátor napětí

bimaterial interface, stress singularity exponent, corner singularity, vertex singularity, general singular stress concentrator

2008

02.07.2008

Trans Tech Publications

Switzerland

1013-9826

Key Engineering Materials

385-387

385-387

125–128

4