The 3D elastodynamic contact problem for plane cracks

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

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 language	English
Pages	77
Number of pages	1
Publication status	Published - Feb 2006
Event	IUTAM Symposium on Multiscale Problems in Multibody System Contacts - Institute of Engineering and Computational Mechanics, University of Stuttgart , Stuttgart, Germany Duration: 20 Feb 2006 → 23 Feb 2006 http://www.itm.uni-stuttgart.de/iutam2006/

Conference

Conference	IUTAM Symposium on Multiscale Problems in Multibody System Contacts
Country	Germany
City	Stuttgart
Period	20/02/06 → 23/02/06
Internet address	http://www.itm.uni-stuttgart.de/iutam2006/

Access to Document

http://www.itm.uni-stuttgart.de/iutam2006/booklet.pdf

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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. http://www.itm.uni-stuttgart.de/iutam2006/booklet.pdf

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title = "The 3D elastodynamic contact problem for plane cracks",

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. ",

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N2 - 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.

AB - 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.

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T2 - IUTAM Symposium on Multiscale Problems in Multibody System Contacts

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