Matches in SemOpenAlex for { <https://semopenalex.org/work/W2092169568> ?p ?o ?g. }
Showing items 1 to 61 of
61
with 100 items per page.
- W2092169568 endingPage "493" @default.
- W2092169568 startingPage "488" @default.
- W2092169568 abstract "A modification of the perturbation method is proposed, based on the utilization of variational formulas and enabling asymptotic expansions (AE) to be obtained for mixed three-dimensional problems of the theory of elasticity with a complex line of boundary-condition separation. Application of Lighthill's method enables these expansions to be transformed into uniformly suitable ones. The problem for an elastic body with a slit (crack) and the contact problem of the theory of elasticity are considered separately. For the body with a slit the variational formula determines the variation of the displacement of the slit surface caused by variation in the shape of the slit contour. The effectiveness of this formula for constructing AE in problems associated with a perturbation of the shape of the slit contour is shown. Cases of slits of complex shape in an infinite body that differ slightly from a circular slit are examined in detail. A scheme for constructing similar AE is mentioned for spatial contact problems of the theory of elasticity with a complex shape of the contact area. A review of the application of perturbation methods to mixed problems in the theory of elasticity is contained in /1, 2/. The solutions of mixed spatial problems in the theory of elasticity with a complex line of boundary condition separation, obtained by using other methods, are discussed in /3–8/. The behaviour of the solution of the boundary value problem for a pseudodifferential equation (in particular, crack theory) for variation of the domain was investigated in /9/." @default.
- W2092169568 created "2016-06-24" @default.
- W2092169568 creator A5067420495 @default.
- W2092169568 date "1988-01-01" @default.
- W2092169568 modified "2023-09-27" @default.
- W2092169568 title "A perturbation method for mixed three-dimensional problems of the theory of elasticity with a complex line of boundary-condition separation" @default.
- W2092169568 cites W2333960547 @default.
- W2092169568 doi "https://doi.org/10.1016/0021-8928(88)90038-x" @default.
- W2092169568 hasPublicationYear "1988" @default.
- W2092169568 type Work @default.
- W2092169568 sameAs 2092169568 @default.
- W2092169568 citedByCount "2" @default.
- W2092169568 countsByYear W20921695682021 @default.
- W2092169568 countsByYear W20921695682022 @default.
- W2092169568 crossrefType "journal-article" @default.
- W2092169568 hasAuthorship W2092169568A5067420495 @default.
- W2092169568 hasConcept C121332964 @default.
- W2092169568 hasConcept C121854251 @default.
- W2092169568 hasConcept C134306372 @default.
- W2092169568 hasConcept C135628077 @default.
- W2092169568 hasConcept C177918212 @default.
- W2092169568 hasConcept C182310444 @default.
- W2092169568 hasConcept C2524010 @default.
- W2092169568 hasConcept C3161131 @default.
- W2092169568 hasConcept C33923547 @default.
- W2092169568 hasConcept C62520636 @default.
- W2092169568 hasConcept C97355855 @default.
- W2092169568 hasConcept C97985569 @default.
- W2092169568 hasConceptScore W2092169568C121332964 @default.
- W2092169568 hasConceptScore W2092169568C121854251 @default.
- W2092169568 hasConceptScore W2092169568C134306372 @default.
- W2092169568 hasConceptScore W2092169568C135628077 @default.
- W2092169568 hasConceptScore W2092169568C177918212 @default.
- W2092169568 hasConceptScore W2092169568C182310444 @default.
- W2092169568 hasConceptScore W2092169568C2524010 @default.
- W2092169568 hasConceptScore W2092169568C3161131 @default.
- W2092169568 hasConceptScore W2092169568C33923547 @default.
- W2092169568 hasConceptScore W2092169568C62520636 @default.
- W2092169568 hasConceptScore W2092169568C97355855 @default.
- W2092169568 hasConceptScore W2092169568C97985569 @default.
- W2092169568 hasIssue "4" @default.
- W2092169568 hasLocation W20921695681 @default.
- W2092169568 hasOpenAccess W2092169568 @default.
- W2092169568 hasPrimaryLocation W20921695681 @default.
- W2092169568 hasRelatedWork W1555804197 @default.
- W2092169568 hasRelatedWork W1965934462 @default.
- W2092169568 hasRelatedWork W1991603799 @default.
- W2092169568 hasRelatedWork W2017533733 @default.
- W2092169568 hasRelatedWork W2068948254 @default.
- W2092169568 hasRelatedWork W2134966247 @default.
- W2092169568 hasRelatedWork W2276814118 @default.
- W2092169568 hasRelatedWork W3047699892 @default.
- W2092169568 hasRelatedWork W650857255 @default.
- W2092169568 hasRelatedWork W2037655780 @default.
- W2092169568 hasVolume "52" @default.
- W2092169568 isParatext "false" @default.
- W2092169568 isRetracted "false" @default.
- W2092169568 magId "2092169568" @default.
- W2092169568 workType "article" @default.