FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2037976281> ?p ?o ?g. }

• W2037976281 endingPage "3922" @default.
• W2037976281 startingPage "3902" @default.
• W2037976281 abstract "The residual stress field of a nonlinear elastic solid with a spherically symmetric distribution of point defects is obtained explicitly using methods from differential geometry. The material manifold of a solid with distributed point defects—where the body is stress-free—is a flat Weyl manifold, i.e. a manifold with an affine connection that has non-metricity with vanishing traceless part, but both its torsion and curvature tensors vanish. Given a spherically symmetric point defect distribution, we construct its Weyl material manifold using the method of Cartan's moving frames. Having the material manifold, the anelasticity problem is transformed to a nonlinear elasticity problem and reduces the problem of computing the residual stresses to finding an embedding into the Euclidean ambient space. In the case of incompressible neo-Hookean solids, we calculate explicitly this residual stress field. We consider the example of a finite ball and a point defect distribution uniform in a smaller ball and vanishing elsewhere. We show that the residual stress field inside the smaller ball is uniform and hydrostatic. We also prove a nonlinear analogue of Eshelby's celebrated inclusion problem for a spherical inclusion in an isotropic incompressible nonlinear solid." @default.
• W2037976281 created "2016-06-24" @default.
• W2037976281 creator A5007417082 @default.
• W2037976281 creator A5028733047 @default.
• W2037976281 date "2012-09-05" @default.
• W2037976281 modified "2023-10-18" @default.
• W2037976281 title "Weyl geometry and the nonlinear mechanics of distributed point defects" @default.
• W2037976281 cites W1978438212 @default.
• W2037976281 cites W1983105365 @default.
• W2037976281 cites W1993142982 @default.
• W2037976281 cites W2022606698 @default.
• W2037976281 cites W2035846283 @default.
• W2037976281 cites W2047359986 @default.
• W2037976281 cites W2047458032 @default.
• W2037976281 cites W2047756132 @default.
• W2037976281 cites W2048470419 @default.
• W2037976281 cites W2057841908 @default.
• W2037976281 cites W2059370549 @default.
• W2037976281 cites W2067363788 @default.
• W2037976281 cites W2067477988 @default.
• W2037976281 cites W2084887554 @default.
• W2037976281 cites W2085666226 @default.
• W2037976281 cites W2086709937 @default.
• W2037976281 cites W2093307973 @default.
• W2037976281 cites W2096105657 @default.
• W2037976281 cites W2109529911 @default.
• W2037976281 cites W2129219887 @default.
• W2037976281 cites W2133725167 @default.
• W2037976281 cites W2152182583 @default.
• W2037976281 cites W2159826050 @default.
• W2037976281 cites W2160781558 @default.
• W2037976281 cites W2166846531 @default.
• W2037976281 cites W2170738931 @default.
• W2037976281 cites W22935679 @default.
• W2037976281 cites W2316371628 @default.
• W2037976281 cites W2485129347 @default.
• W2037976281 cites W2502880094 @default.
• W2037976281 cites W277945331 @default.
• W2037976281 cites W3099293028 @default.
• W2037976281 cites W3101393365 @default.
• W2037976281 cites W4205424143 @default.
• W2037976281 cites W4230031005 @default.
• W2037976281 cites W4233907720 @default.
• W2037976281 cites W4242242526 @default.
• W2037976281 cites W4247391728 @default.
• W2037976281 doi "https://doi.org/10.1098/rspa.2012.0342" @default.
• W2037976281 hasPublicationYear "2012" @default.
• W2037976281 type Work @default.
• W2037976281 sameAs 2037976281 @default.
• W2037976281 citedByCount "50" @default.
• W2037976281 countsByYear W20379762812013 @default.
• W2037976281 countsByYear W20379762812014 @default.
• W2037976281 countsByYear W20379762812015 @default.
• W2037976281 countsByYear W20379762812016 @default.
• W2037976281 countsByYear W20379762812017 @default.
• W2037976281 countsByYear W20379762812018 @default.
• W2037976281 countsByYear W20379762812019 @default.
• W2037976281 countsByYear W20379762812020 @default.
• W2037976281 countsByYear W20379762812021 @default.
• W2037976281 countsByYear W20379762812022 @default.
• W2037976281 countsByYear W20379762812023 @default.
• W2037976281 crossrefType "journal-article" @default.
• W2037976281 hasAuthorship W2037976281A5007417082 @default.
• W2037976281 hasAuthorship W2037976281A5028733047 @default.
• W2037976281 hasBestOaLocation W20379762811 @default.
• W2037976281 hasConcept C121332964 @default.
• W2037976281 hasConcept C127413603 @default.
• W2037976281 hasConcept C134306372 @default.
• W2037976281 hasConcept C158622935 @default.
• W2037976281 hasConcept C166077713 @default.
• W2037976281 hasConcept C184050105 @default.
• W2037976281 hasConcept C2524010 @default.
• W2037976281 hasConcept C33923547 @default.
• W2037976281 hasConcept C520416788 @default.
• W2037976281 hasConcept C529865628 @default.
• W2037976281 hasConcept C62520636 @default.
• W2037976281 hasConcept C74650414 @default.
• W2037976281 hasConcept C78519656 @default.
• W2037976281 hasConceptScore W2037976281C121332964 @default.
• W2037976281 hasConceptScore W2037976281C127413603 @default.
• W2037976281 hasConceptScore W2037976281C134306372 @default.
• W2037976281 hasConceptScore W2037976281C158622935 @default.
• W2037976281 hasConceptScore W2037976281C166077713 @default.
• W2037976281 hasConceptScore W2037976281C184050105 @default.
• W2037976281 hasConceptScore W2037976281C2524010 @default.
• W2037976281 hasConceptScore W2037976281C33923547 @default.
• W2037976281 hasConceptScore W2037976281C520416788 @default.
• W2037976281 hasConceptScore W2037976281C529865628 @default.
• W2037976281 hasConceptScore W2037976281C62520636 @default.
• W2037976281 hasConceptScore W2037976281C74650414 @default.
• W2037976281 hasConceptScore W2037976281C78519656 @default.
• W2037976281 hasIssue "2148" @default.
• W2037976281 hasLocation W20379762811 @default.
• W2037976281 hasLocation W20379762812 @default.
• W2037976281 hasOpenAccess W2037976281 @default.
• W2037976281 hasPrimaryLocation W20379762811 @default.
• W2037976281 hasRelatedWork W1970459734 @default.
• W2037976281 hasRelatedWork W1972361155 @default.

• next