Recent Issues |
Volume 6, Issue 4
|
Volume 6, Issue 3
|
Volume 6, Issue 2
|
Volume 6, Issue 1
|
Volume 5, Issue 3-4
|
Volume 5, Issue 2
|
Volume 5, Issue 1
|
Volume 4, Issue 3-4
|
Volume 4, Issue 2
|
Volume 4, Issue 1
|
Volume 3, Issue 4
|
Volume 3, Issue 3
|
Volume 3, Issue 2
|
Volume 3, Issue 1
|
Volume 2, Issue 2
|
Volume 2, Issue 1
|
Volume 1, Issue 2
|
Volume 1, Issue 1
|
|
|
Abstract
|
We propose a model for a two-dimensional elastic body with a thin elastic inclusion
modeled by a beam equation. Moreover, we assume that a delamination of the
inclusion may take place resulting in a crack. Nonlinear boundary conditions are
imposed at the crack faces to prevent mutual penetration between the faces. Both
variational and differential problem formulations are considered, and existence of
solutions is established. Furthermore, we study the dependence of the solution on the
rigidity of the embedded beam. It is proved that in the limit cases corresponding to
infinite and zero rigidity, we obtain a rigid beam inclusion and cracks with
nonpenetration conditions, respectively. Anisotropic behavior of the beam is also
analyzed.
|
Keywords
thin inclusion, nonlinear boundary conditions,
nonpenetration, crack, variational inequality
|
Mathematical Subject Classification 2010
Primary: 74-XX
|
Milestones
Received: 24 July 2012
Revised: 19 January 2013
Accepted: 25 February 2013
Published: 4 December 2013
Communicated by Paul Steinmann
|
|
|
|