title: Investigation of the large deformations of composite plane with interface crack loaded by uniform pressure
metadata.name: dc.contributor.author
metadata.value: Mal’kov, Veniamin M.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Mal’kova, Yuliya V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-04-10T13:28:24Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-04-10T13:28:24Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Mal’kov V.M., Mal’kova Yu.V. Investigation of the large deformations of composite plane with interface crack loaded by uniform pressure. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, vol. 7 (65), issue 1, pp. 141–153.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu01.2020.114
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/17337
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The analytical solution to a nonlinear problem of elasticity for the composite plane formed
  by connection of two half-planes from different materials with an interface crack is obtained.
  The elastic properties of half-planes are modeled by semi-linear harmonic material. External
  loading is uniform pressure, which is orthogonal to the deformed surfaces of a crack coasts,
  the stresses at infinity are absent. For the solution to a nonlinear plane problem methods
  of the theory of the complex variable functions are used. An existence of critical values of
  pressure at the coasts of a crack which excess conducts to loss of stability of a material
  and to large post-critical displacements, deformations and stresses in a vicinity of a crack
  is established. The critical pressures have the order of the shear modules of the materials
  and are really possible for low-modules rubber-like materials (elastomers). For the rigid
  materials with the large module of shear, in particular metals, the critical pressures really
  are not achieved. The formulas for disclosing of the crack coasts depending on value of
  pressure and parameters of materials are obtained, the plots of displacements of the crack
  surfaces for different values of pressure are presented. On the base of a common solution the
  asymptotic expansions are constructed for nominal (Piola) and Cauchy stresses in vicinities
  of a crack ends. The nominal stresses have the root singularities, the Cauchy stresses have
  no singularities at the tips of crack.
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. Mathematics. Mechanics. Astronomy;Volume 7 (65); Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: nonlinear plane problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: composite plane
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.subject
metadata.value: complex-variable methods
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Investigation of the large deformations of composite plane with interface crack loaded by uniform pressure
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 141-153.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/17337/1/141-153.pdf
resources.format: Adobe PDF
resources.size: 425,6 kB