Influence of the Crack Edges Contact Interaction on Fracture Mechanics Criterions

V. V. Zozulya, Oleksandr Menshykov

Research output: Contribution to conferenceAbstract

Abstract

In this article some results concerning problems in the fracture dynamics of elastic bodies with allowance for unilateral crack edge contact interaction with friction are presented. A formulation has been made of the elastodynamic contact problem with unilateral restrictions for bodies with cracks under arbitrary dynamic loading. A specific case of harmonic loading has also been considered. The boundary integral equations (BIE) method in a Laplace transform and frequency domains has been used as a solution for the elastodynamic problem for bodies with cracks. Singularities of the kernels in these integral equations have been studied. Regularization methods for the potentials with weakly singular, singular and hypersingular kernels have been considered. Several algorithms for the solution of the elastodynamic unilateral contact problem for bodies with cracks have been elaborated. Numerical methods have been elaborated for the solution to elastodynamic contact problems with unilateral restrictions and friction for bodies with cracks. Some problems for plane harmonic wave propagation in space with plane cracks with allowance for unilateral contact interaction of the crack edges have been solved. Quantitative and qualitative effects caused by contact interaction of the crack edges have been investigated.
Original languageEnglish
Pages34
Number of pages1
Publication statusPublished - Jul 2003
Event16th ASCE Engineering Mechanics Conference
- University of Washington, Seattle, United States
Duration: 16 Jul 200318 Jul 2003
Conference number: 16
http://www.ce.washington.edu/em03

Conference

Conference16th ASCE Engineering Mechanics Conference
Abbreviated titleEM 2003
CountryUnited States
CitySeattle
Period16/07/0318/07/03
Internet address

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Fracture Mechanics
Crack
Contact
Elastodynamics
Interaction
Contact Problem
Unilateral Contact
Friction
Harmonic
kernel
Dynamic Fracture
Restriction
Unilateral Problems
Boundary Integral Equation Method
Influence
Elastic body
Regularization Method
Laplace transform
Wave Propagation
Frequency Domain

Cite this

Zozulya, V. V., & Menshykov, O. (2003). Influence of the Crack Edges Contact Interaction on Fracture Mechanics Criterions. 34. Abstract from 16th ASCE Engineering Mechanics Conference
, Seattle, United States.

Influence of the Crack Edges Contact Interaction on Fracture Mechanics Criterions. / Zozulya, V. V.; Menshykov, Oleksandr.

2003. 34 Abstract from 16th ASCE Engineering Mechanics Conference
, Seattle, United States.

Research output: Contribution to conferenceAbstract

Zozulya, VV & Menshykov, O 2003, 'Influence of the Crack Edges Contact Interaction on Fracture Mechanics Criterions', 16th ASCE Engineering Mechanics Conference
, Seattle, United States, 16/07/03 - 18/07/03 pp. 34.
Zozulya VV, Menshykov O. Influence of the Crack Edges Contact Interaction on Fracture Mechanics Criterions. 2003. Abstract from 16th ASCE Engineering Mechanics Conference
, Seattle, United States.
Zozulya, V. V. ; Menshykov, Oleksandr. / Influence of the Crack Edges Contact Interaction on Fracture Mechanics Criterions. Abstract from 16th ASCE Engineering Mechanics Conference
, Seattle, United States.1 p.
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N2 - In this article some results concerning problems in the fracture dynamics of elastic bodies with allowance for unilateral crack edge contact interaction with friction are presented. A formulation has been made of the elastodynamic contact problem with unilateral restrictions for bodies with cracks under arbitrary dynamic loading. A specific case of harmonic loading has also been considered. The boundary integral equations (BIE) method in a Laplace transform and frequency domains has been used as a solution for the elastodynamic problem for bodies with cracks. Singularities of the kernels in these integral equations have been studied. Regularization methods for the potentials with weakly singular, singular and hypersingular kernels have been considered. Several algorithms for the solution of the elastodynamic unilateral contact problem for bodies with cracks have been elaborated. Numerical methods have been elaborated for the solution to elastodynamic contact problems with unilateral restrictions and friction for bodies with cracks. Some problems for plane harmonic wave propagation in space with plane cracks with allowance for unilateral contact interaction of the crack edges have been solved. Quantitative and qualitative effects caused by contact interaction of the crack edges have been investigated.

AB - In this article some results concerning problems in the fracture dynamics of elastic bodies with allowance for unilateral crack edge contact interaction with friction are presented. A formulation has been made of the elastodynamic contact problem with unilateral restrictions for bodies with cracks under arbitrary dynamic loading. A specific case of harmonic loading has also been considered. The boundary integral equations (BIE) method in a Laplace transform and frequency domains has been used as a solution for the elastodynamic problem for bodies with cracks. Singularities of the kernels in these integral equations have been studied. Regularization methods for the potentials with weakly singular, singular and hypersingular kernels have been considered. Several algorithms for the solution of the elastodynamic unilateral contact problem for bodies with cracks have been elaborated. Numerical methods have been elaborated for the solution to elastodynamic contact problems with unilateral restrictions and friction for bodies with cracks. Some problems for plane harmonic wave propagation in space with plane cracks with allowance for unilateral contact interaction of the crack edges have been solved. Quantitative and qualitative effects caused by contact interaction of the crack edges have been investigated.

M3 - Abstract

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