title: Mathematical modeling of the deformation of composite plane with interface crack for semi-linear material
metadata.name: dc.contributor.author
metadata.value: Domanskaya, Tatyana O.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Malkov, Venyamin M.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Malkova, Yulia V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2018-07-18T11:51:34Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2018-07-18T11:51:34Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2018-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Domanskaya T.O., Malkov V.M., Malkova Yu.V. Mathematical modeling of the deformation of composite plane with interface crack for semi-linear material. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2018, vol. 14, iss. 2, pp. 89–102.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11702/spbu10.2018.202
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/10440
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The exact analytical solutions have been obtained for the nonlinear problems (plane-strain
  and plane-stress) for the bi-material plane with an interface crack. The plane is formed
  by joining of two half-planes made from different materials. Mechanical properties of halfplanes
  are described with the model of semi-linear material. The application of this model
  has allowed using the methods of the complex functions in the nonlinear boundary value
  problems. For this particular case the problem is solved for the plane with a free interface
  crack at given constant nominal (Piola) stresses at infinity. The expressions for nominal
  stresses, Cauchy stresses and displacements are obtained. From the general solutions the
  asymptotic expansions of these functions have been constructed in vicinities of crack tips. It
  is established that in the nonlinear problem of uniaxial extension of a plane with a free crack
  the formulas which give the crack disclosing differ by a constant factor from the formulas of
  linear elasticity. The stress intensity factors (SIF) of nonlinear and linear problems coincide.
  The nominal stresses have the root singularity at the tips of a crack; the Cauchy stresses
  have no singularity.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при финансовой поддержке Российского фонда фундаментальных исследований (проект № 16-31-00065).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 14; Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: bi-material plane
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: plane-strain problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: plane-stress problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: method of complex functions
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: interface crack
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: semi-linear material
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Mathematical modeling of the deformation of composite plane with interface crack for semi-linear material
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 02-Domanskaya.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/10440/1/02-Domanskaya.pdf
resources.format: Adobe PDF
resources.size: 435,19 kB