title: Formulation of the fatigue fracture criterion of composite materials
metadata.name: dc.contributor.author
metadata.value: Arutyunyan, Alexander R.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-09-10T15:06:46Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-09-10T15:06:46Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Arutyunyan А. R. Formulation of the fatigue fracture criterion of composite materials. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, vol. 7 (65), issue 3, pp. 511–517.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2020.313
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/19402
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: According to numerous studies of different types of composite materials was found that
  the main processes of fatigue fracture in these materials are caused by the accumulation
  of damage. The measure of damage is determined by various degradation processes of the
  material: the fibers fracture, delamination, destruction of the matrix, the joint destruction
  of the matrix and fibers, separation on the interface, re-inclusion. The sequence of these
  damages can be various up to full fracture of a material. Unlike metals, for which the formation and development of cracks are the main mechanisms that determine the durability
  of the material, for composite materials, these mechanisms are determined by the kinetics
  of the development of the damaged state until the final fracture. The cumulative damage
  accumulation curve is an increasing function of the time (number of loading cycles) until the
  moment of macro-fracture. In the general formulation of the kinetic equation for the damage parameter was considered in the works of Howard and Bokshitsky. According to these
  works, the damage of the system, in accordance with the conception of statistical physics,
  proceeds at a rate that depends on some external factors (mechanical, physical, chemical,
  etc.), as well as the value of the accumulated damage. Since that the real materials have a
  random structure, therefore, the continuity or damage parameter is a statistical index. This
  index can defined using a kinetic equation, the right part of which is given in the form of a
  power dependence on the value of the effective stress. The given conception was used in the
  works of Kachanov-Rabotnov and on its basis, the criterion of brittle fracture under hightemperature creep was formulated. In this paper, the damage conception is used to describe
  the damage processes of composite materials and the formulation of the fatigue strength
  criterion. The relative changes of the elasticity modulus in the process of cyclic loadings is
  considered as a continuity (damage) parameter. The critical value of damages is accepted
  as a fracture condition and on this basis the criterion of fatigue strength is formulated. The
  coefficients of the criterion are concretized and damage accumulation curves and fatigue curves are plotted. A good agreement between the theoretical damage and fatigue curves
  with the results of the corresponding experiments on the fatigue of carbon fiber plastics is
  observed.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This study was supported by the Russian Foundation for Basic Research, project No 18-01-00146
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 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: composite materials
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: cyclic loadings
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: continuity
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: damage accumulation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: the principle of stresses and strains equivalence
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Young’s modulus
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: effective time
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: effective stress
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: fatigue fracture criterion
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Formulation of the fatigue fracture criterion of composite materials
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 511-517.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/19402/1/511-517.pdf
resources.format: Adobe PDF
resources.size: 310,55 kB