title: Mathematical modeling of the deformation of composite plane with interface crack for John’s harmonic 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: 2018-01-31T09:02:10Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2018-01-31T09:02:10Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-12
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 John’s harmonic material. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2017, vol. 13, iss. 4, pp. 372–383.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu10.2017.404
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/9047
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The exact analytical solution of a nonlinear plane-strain problem for a bimaterial plane with an
  interface crack (cut) has been obtained. The plane is formed by joining of two half-planes made
  from different materials. Mechanical properties of half-planes are described with the model of a
  John’s harmonic material. The application of this model has permitted using the methods of the
  complex functions in the nonlinear boundary value problems. As particular case, the problem
  is solved for the plane with a free interface crack at given constant nominal stresses at infinity.
  The expressions are obtained for nominal (Piola) stresses, Cauchy stresses and displacements.
  From the general solutions the asymptotic expansions of these functions have been constructed in vicinities of crack tips. In nonlinear problems of uniaxial extension of a plane with a free
  crack it is established that the formulas which give the crack disclosing and the stress intensity
  factors near the crack tips coincide completely with similar formulas derived from the equations
  of linear elasticity. The nominal stresses have root singularity at the tips of a crack; the Cauchy
  stresses have no singularity. Refs 16. Figs 3. Table 1.
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 13; Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: bimaterial plane
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: plane-strain 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: John’s harmonic material
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Mathematical modeling of the deformation of composite plane with interface crack for John’s harmonic material
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 04-Domanskaya.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/9047/1/04-Domanskaya.pdf
resources.format: Adobe PDF
resources.size: 381,76 kB