FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1965209276> ?p ?o ?g. }

• W1965209276 endingPage "1202" @default.
• W1965209276 startingPage "1169" @default.
• W1965209276 abstract "The present paper investigates bifurcation analysis based on the second-order work criterion, in the framework of rate-independent constitutive models and rate-independent boundary-value problems. The approach applies mainly to nonassociated materials such as soils, rocks, and concretes. The bifurcation analysis usually performed at the material point level is extended to quasi-static boundary-value problems, by considering the stiffness matrix arising from finite element discretization. Lyapunov's definition of stability (Annales de la faculté des sciences de Toulouse 1907; 9:203–274), as well as definitions of bifurcation criteria (Rice's localization criterion (Theoretical and Applied Mechanics. Fourteenth IUTAM Congress, Amsterdam, 1976; 207–220) and the plasticity limit criterion are revived in order to clarify the application field of the second-order work criterion and to contrast these criteria. The first part of this paper analyses the second-order work criterion at the material point level. The bifurcation domain is presented in the 3D stress space as well as 3D cones of unstable loading directions for an incrementally nonlinear constitutive model. The relevance of this criterion, when the nonlinear constitutive model is expressed in the classical form (dσ = Mdε) or in the dual form (dε = Ndσ), is discussed. In the second part, the analysis is extended to the boundary-value problems in quasi-static conditions. Nonlinear finite element computations are performed and the global tangent stiffness matrix is analyzed. For several examples, the eigenvector associated with the first vanishing eigenvalue of the symmetrical part of the stiffness matrix gives an accurate estimation of the failure mode in the homogeneous and nonhomogeneous boundary-value problem. Copyright © 2008 John Wiley & Sons, Ltd." @default.
• W1965209276 created "2016-06-24" @default.
• W1965209276 creator A5001682506 @default.
• W1965209276 creator A5006224986 @default.
• W1965209276 creator A5049612991 @default.
• W1965209276 creator A5065860372 @default.
• W1965209276 date "2009-06-25" @default.
• W1965209276 modified "2023-10-12" @default.
• W1965209276 title "Bifurcation modeling in geomaterials: From the second-order work criterion to spectral analyses" @default.
• W1965209276 cites W1968062199 @default.
• W1965209276 cites W1969901722 @default.
• W1965209276 cites W1977032473 @default.
• W1965209276 cites W1992486455 @default.
• W1965209276 cites W1998539761 @default.
• W1965209276 cites W2017436380 @default.
• W1965209276 cites W2019175602 @default.
• W1965209276 cites W2020520974 @default.
• W1965209276 cites W2022740858 @default.
• W1965209276 cites W2025179900 @default.
• W1965209276 cites W2026851860 @default.
• W1965209276 cites W2029740021 @default.
• W1965209276 cites W2031667940 @default.
• W1965209276 cites W2032907206 @default.
• W1965209276 cites W2035601317 @default.
• W1965209276 cites W2062390976 @default.
• W1965209276 cites W2065873294 @default.
• W1965209276 cites W2073775990 @default.
• W1965209276 cites W2087586469 @default.
• W1965209276 cites W2100915851 @default.
• W1965209276 cites W2107895701 @default.
• W1965209276 cites W2146346374 @default.
• W1965209276 cites W2315742779 @default.
• W1965209276 cites W2329719292 @default.
• W1965209276 cites W588570081 @default.
• W1965209276 cites W639244870 @default.
• W1965209276 doi "https://doi.org/10.1002/nag.762" @default.
• W1965209276 hasPublicationYear "2009" @default.
• W1965209276 type Work @default.
• W1965209276 sameAs 1965209276 @default.
• W1965209276 citedByCount "39" @default.
• W1965209276 countsByYear W19652092762012 @default.
• W1965209276 countsByYear W19652092762013 @default.
• W1965209276 countsByYear W19652092762014 @default.
• W1965209276 countsByYear W19652092762015 @default.
• W1965209276 countsByYear W19652092762016 @default.
• W1965209276 countsByYear W19652092762017 @default.
• W1965209276 countsByYear W19652092762018 @default.
• W1965209276 countsByYear W19652092762019 @default.
• W1965209276 countsByYear W19652092762020 @default.
• W1965209276 countsByYear W19652092762021 @default.
• W1965209276 countsByYear W19652092762022 @default.
• W1965209276 crossrefType "journal-article" @default.
• W1965209276 hasAuthorship W1965209276A5001682506 @default.
• W1965209276 hasAuthorship W1965209276A5006224986 @default.
• W1965209276 hasAuthorship W1965209276A5049612991 @default.
• W1965209276 hasAuthorship W1965209276A5065860372 @default.
• W1965209276 hasBestOaLocation W19652092761 @default.
• W1965209276 hasConcept C121332964 @default.
• W1965209276 hasConcept C127413603 @default.
• W1965209276 hasConcept C134306372 @default.
• W1965209276 hasConcept C135628077 @default.
• W1965209276 hasConcept C138187205 @default.
• W1965209276 hasConcept C14198674 @default.
• W1965209276 hasConcept C158622935 @default.
• W1965209276 hasConcept C158693339 @default.
• W1965209276 hasConcept C178295079 @default.
• W1965209276 hasConcept C182310444 @default.
• W1965209276 hasConcept C202973686 @default.
• W1965209276 hasConcept C2524010 @default.
• W1965209276 hasConcept C2781349735 @default.
• W1965209276 hasConcept C28826006 @default.
• W1965209276 hasConcept C33923547 @default.
• W1965209276 hasConcept C62520636 @default.
• W1965209276 hasConcept C66938386 @default.
• W1965209276 hasConcept C85075877 @default.
• W1965209276 hasConceptScore W1965209276C121332964 @default.
• W1965209276 hasConceptScore W1965209276C127413603 @default.
• W1965209276 hasConceptScore W1965209276C134306372 @default.
• W1965209276 hasConceptScore W1965209276C135628077 @default.
• W1965209276 hasConceptScore W1965209276C138187205 @default.
• W1965209276 hasConceptScore W1965209276C14198674 @default.
• W1965209276 hasConceptScore W1965209276C158622935 @default.
• W1965209276 hasConceptScore W1965209276C158693339 @default.
• W1965209276 hasConceptScore W1965209276C178295079 @default.
• W1965209276 hasConceptScore W1965209276C182310444 @default.
• W1965209276 hasConceptScore W1965209276C202973686 @default.
• W1965209276 hasConceptScore W1965209276C2524010 @default.
• W1965209276 hasConceptScore W1965209276C2781349735 @default.
• W1965209276 hasConceptScore W1965209276C28826006 @default.
• W1965209276 hasConceptScore W1965209276C33923547 @default.
• W1965209276 hasConceptScore W1965209276C62520636 @default.
• W1965209276 hasConceptScore W1965209276C66938386 @default.
• W1965209276 hasConceptScore W1965209276C85075877 @default.
• W1965209276 hasIssue "9" @default.
• W1965209276 hasLocation W19652092761 @default.
• W1965209276 hasLocation W19652092762 @default.
• W1965209276 hasOpenAccess W1965209276 @default.
• W1965209276 hasPrimaryLocation W19652092761 @default.

• next