The 3D elastodynamic contact problem for plane cracks

A N Guz, Oleksandr Menshykov, Wolfgang Wendland, V. V. Zozulya

Research output: Contribution to conferenceAbstract

Abstract

The paper is devoted to the solution of the time-dependent periodic fracture problems for a cracked material with the allowance of contact between the cracks' faces. The variational formulation of the elastodynamic problem in terms of the actions generated by the contact displacement continuities on the cracks' faces including unilateral Signorini constraints and dry fraction are formulated.

The formulation leads to an infinite system of boundary integral inequalities, the finite section of which is then solved by an iterative procedure. For simple model problems, the corresponding numerical Galerkin approximations demonstrate the applicability of the method and also the clear difference to classical linear crack analysis without contact.
Original languageEnglish
Pages77
Number of pages1
Publication statusPublished - Feb 2006
EventIUTAM Symposium on Multiscale Problems in Multibody System Contacts - Institute of Engineering and Computational Mechanics, University of Stuttgart , Stuttgart, Germany
Duration: 20 Feb 200623 Feb 2006
http://www.itm.uni-stuttgart.de/iutam2006/

Conference

ConferenceIUTAM Symposium on Multiscale Problems in Multibody System Contacts
CountryGermany
CityStuttgart
Period20/02/0623/02/06
Internet address

Fingerprint

Elastodynamics
Contact Problem
Crack
Contact
Face
Galerkin Approximation
Boundary Integral
Infinite Systems
Integral Inequality
Variational Formulation
Iterative Procedure
Numerical Approximation
Formulation
Demonstrate
Model

Cite this

Guz, A. N., Menshykov, O., Wendland, W., & Zozulya, V. V. (2006). The 3D elastodynamic contact problem for plane cracks. 77. Abstract from IUTAM Symposium on Multiscale Problems in Multibody System Contacts, Stuttgart, Germany.

The 3D elastodynamic contact problem for plane cracks. / Guz, A N; Menshykov, Oleksandr; Wendland, Wolfgang; Zozulya, V. V.

2006. 77 Abstract from IUTAM Symposium on Multiscale Problems in Multibody System Contacts, Stuttgart, Germany.

Research output: Contribution to conferenceAbstract

Guz, AN, Menshykov, O, Wendland, W & Zozulya, VV 2006, 'The 3D elastodynamic contact problem for plane cracks', IUTAM Symposium on Multiscale Problems in Multibody System Contacts, Stuttgart, Germany, 20/02/06 - 23/02/06 pp. 77.
Guz AN, Menshykov O, Wendland W, Zozulya VV. The 3D elastodynamic contact problem for plane cracks. 2006. Abstract from IUTAM Symposium on Multiscale Problems in Multibody System Contacts, Stuttgart, Germany.
Guz, A N ; Menshykov, Oleksandr ; Wendland, Wolfgang ; Zozulya, V. V. / The 3D elastodynamic contact problem for plane cracks. Abstract from IUTAM Symposium on Multiscale Problems in Multibody System Contacts, Stuttgart, Germany.1 p.
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