On singular boundary integral equations in problems of cracks' mechanics

Translated title of the contribution: Решение задач механики трещин на основе граничных сингулярных интегральных уравнений

Vasyl Menshykov, Oleksandr Menshykov

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Problems for cracked materials under dynamic loading are reduced to boundary integral equations with singular kernels and solved numerically. Singular integrals are regularized using the second Green formula and Laplace operator.
Original languageRussian
Title of host publicationTransactions of XVI International Symposium: Discrete Singularities Methods in Mathematical Physics (DSMMPh 2013)
Pages262-265
Number of pages4
Publication statusPublished - 2013
EventXVI International Symposium «Discrete Singularities Methods in Mathematical Physics» - Kherson, Ukraine
Duration: 10 Jun 201315 Jun 2013
Conference number: 16
http://www.dsmmph.org.ua

Conference

ConferenceXVI International Symposium «Discrete Singularities Methods in Mathematical Physics»
Abbreviated titleDSMMph-2013
CountryUkraine
CityKherson
Period10/06/1315/06/13
Internet address

Fingerprint

Singular Kernel
Green's Formula
Singular Integrals
Laplace Operator
Boundary Integral Equations

Keywords

  • boundary integral equations
  • regularization of singular integrals
  • harmonic loading
  • interface crack

Cite this

Menshykov, V., & Menshykov, O. (2013). On singular boundary integral equations in problems of cracks' mechanics. In Transactions of XVI International Symposium: Discrete Singularities Methods in Mathematical Physics (DSMMPh 2013) (pp. 262-265)

On singular boundary integral equations in problems of cracks' mechanics. / Menshykov, Vasyl; Menshykov, Oleksandr.

Transactions of XVI International Symposium: Discrete Singularities Methods in Mathematical Physics (DSMMPh 2013). 2013. p. 262-265.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Menshykov, V & Menshykov, O 2013, On singular boundary integral equations in problems of cracks' mechanics. in Transactions of XVI International Symposium: Discrete Singularities Methods in Mathematical Physics (DSMMPh 2013). pp. 262-265, XVI International Symposium «Discrete Singularities Methods in Mathematical Physics», Kherson, Ukraine, 10/06/13.
Menshykov V, Menshykov O. On singular boundary integral equations in problems of cracks' mechanics. In Transactions of XVI International Symposium: Discrete Singularities Methods in Mathematical Physics (DSMMPh 2013). 2013. p. 262-265
Menshykov, Vasyl ; Menshykov, Oleksandr. / On singular boundary integral equations in problems of cracks' mechanics. Transactions of XVI International Symposium: Discrete Singularities Methods in Mathematical Physics (DSMMPh 2013). 2013. pp. 262-265
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