title: Approximation-evaluation tests for a stress-strain state of deformable solids
metadata.name: dc.contributor.author
metadata.value: Orekhov, Andrey V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2018-09-14T11:03:02Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2018-09-14T11:03:02Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2018-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Orekhov A. V. Approximation-evaluation tests for a stress-strain state of deformable solids. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2018, vol. 14, iss. 3, pp. 230–242.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11702/spbu10.2018.304
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/14826
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: When analyzing some applied problems, it is of interest to obtain certain statistical criteria.
  These criteria could determine the moment when a monotonically increasing quantity, given
  in the form of a table and whose analytical form is unknown, changes the linear increasing
  to the nonlinear one. In this paper, we consider “approximation-evaluation tests”, which
  allows us to determine the point, when the type of increase in the monotone sequence of
  numerical parameters of deformable solid, characterizing its stress-strain state, is changed
  from linear to parabolic. This point could be considered as a harbinger of the strength
  loss. This criterion is based on the comparison of the quadratic errors of the linear and the
  incomplete parabolic approximations. Approximating functions are constructed locally, not
  overall values of the sequence, but only over several of them. These points are located in the
  left half-neighborhood of the investigated point. An inverse problem is solved in which the
  critical values of the sequence are calculated, for which the quadratic errors of the linear and
  incomplete parabolic approximations are equal. The example shows that a simple comparison
  of finite differences cannot be used to determine the point at which a linear increase becomes
  parabolic.
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 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: stress-strain state
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: least-squares method
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Approximation-evaluation tests for a stress-strain state of deformable solids
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 04-Orekhov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/14826/1/04-Orekhov.pdf
resources.format: Adobe PDF
resources.size: 383,08 kB