Matches in SemOpenAlex for { <https://semopenalex.org/work/W2053133911> ?p ?o ?g. }
- W2053133911 endingPage "278" @default.
- W2053133911 startingPage "257" @default.
- W2053133911 abstract "Abstract An extended finite element method (XFEM) coupled with a Monte Carlo approach is proposed to quantify the uncertainty in the homogenized effective elastic properties of multiphase materials. The methodology allows for an arbitrary number, aspect ratio, location and orientation of elliptic inclusions within a matrix, without the need for fine meshes in the vicinity of tightly packed inclusions and especially without the need to remesh for every different generated realization of the microstructure. Moreover, the number of degrees of freedom in the enriched elements is dynamically reallocated for each Monte Carlo sample run based on the given volume fraction. The main advantage of the proposed XFEM‐based methodology is a major reduction in the computational effort in extensive Monte Carlo simulations compared with the standard FEM approach. Monte Carlo and XFEM appear to work extremely efficiently together. The Monte Carlo approach allows for the modeling of the size, aspect ratios, orientations, and spatial distribution of the elliptical inclusions as random variables with any prescribed probability distributions. Numerical results are presented and the uncertainty of the homogenized elastic properties is discussed. Copyright © 2011 John Wiley & Sons, Ltd." @default.
- W2053133911 created "2016-06-24" @default.
- W2053133911 creator A5017566493 @default.
- W2053133911 creator A5040077946 @default.
- W2053133911 creator A5067414319 @default.
- W2053133911 date "2011-03-02" @default.
- W2053133911 modified "2023-10-17" @default.
- W2053133911 title "Uncertainty quantification in homogenization of heterogeneous microstructures modeled by XFEM" @default.
- W2053133911 cites W1973067660 @default.
- W2053133911 cites W1973982702 @default.
- W2053133911 cites W1979383204 @default.
- W2053133911 cites W1984003326 @default.
- W2053133911 cites W1991360995 @default.
- W2053133911 cites W1995575147 @default.
- W2053133911 cites W2011458795 @default.
- W2053133911 cites W2019316318 @default.
- W2053133911 cites W2026138939 @default.
- W2053133911 cites W2032065907 @default.
- W2053133911 cites W2043533888 @default.
- W2053133911 cites W2047753359 @default.
- W2053133911 cites W2050143334 @default.
- W2053133911 cites W2050537657 @default.
- W2053133911 cites W2054792238 @default.
- W2053133911 cites W2058013286 @default.
- W2053133911 cites W2064704207 @default.
- W2053133911 cites W2072954894 @default.
- W2053133911 cites W2075840114 @default.
- W2053133911 cites W2077815634 @default.
- W2053133911 cites W2081437575 @default.
- W2053133911 cites W2085557301 @default.
- W2053133911 cites W2086286482 @default.
- W2053133911 cites W2091268519 @default.
- W2053133911 cites W2092011174 @default.
- W2053133911 cites W2093760881 @default.
- W2053133911 cites W2094134692 @default.
- W2053133911 cites W2096105657 @default.
- W2053133911 cites W2103078203 @default.
- W2053133911 cites W2104171858 @default.
- W2053133911 cites W2108523623 @default.
- W2053133911 cites W2137825056 @default.
- W2053133911 cites W2140735329 @default.
- W2053133911 cites W2142596047 @default.
- W2053133911 cites W2144237581 @default.
- W2053133911 cites W2147699377 @default.
- W2053133911 cites W2153881604 @default.
- W2053133911 cites W2157312746 @default.
- W2053133911 cites W2158087377 @default.
- W2053133911 cites W2165834163 @default.
- W2053133911 cites W2989643232 @default.
- W2053133911 cites W3125923124 @default.
- W2053133911 doi "https://doi.org/10.1002/nme.3174" @default.
- W2053133911 hasPublicationYear "2011" @default.
- W2053133911 type Work @default.
- W2053133911 sameAs 2053133911 @default.
- W2053133911 citedByCount "89" @default.
- W2053133911 countsByYear W20531339112012 @default.
- W2053133911 countsByYear W20531339112013 @default.
- W2053133911 countsByYear W20531339112014 @default.
- W2053133911 countsByYear W20531339112015 @default.
- W2053133911 countsByYear W20531339112016 @default.
- W2053133911 countsByYear W20531339112017 @default.
- W2053133911 countsByYear W20531339112018 @default.
- W2053133911 countsByYear W20531339112019 @default.
- W2053133911 countsByYear W20531339112020 @default.
- W2053133911 countsByYear W20531339112021 @default.
- W2053133911 countsByYear W20531339112022 @default.
- W2053133911 countsByYear W20531339112023 @default.
- W2053133911 crossrefType "journal-article" @default.
- W2053133911 hasAuthorship W2053133911A5017566493 @default.
- W2053133911 hasAuthorship W2053133911A5040077946 @default.
- W2053133911 hasAuthorship W2053133911A5067414319 @default.
- W2053133911 hasConcept C105795698 @default.
- W2053133911 hasConcept C121332964 @default.
- W2053133911 hasConcept C121864883 @default.
- W2053133911 hasConcept C126255220 @default.
- W2053133911 hasConcept C127413603 @default.
- W2053133911 hasConcept C130217890 @default.
- W2053133911 hasConcept C135628077 @default.
- W2053133911 hasConcept C18903297 @default.
- W2053133911 hasConcept C19499675 @default.
- W2053133911 hasConcept C24810621 @default.
- W2053133911 hasConcept C2778722038 @default.
- W2053133911 hasConcept C28826006 @default.
- W2053133911 hasConcept C32230216 @default.
- W2053133911 hasConcept C33923547 @default.
- W2053133911 hasConcept C41008148 @default.
- W2053133911 hasConcept C66938386 @default.
- W2053133911 hasConcept C86803240 @default.
- W2053133911 hasConceptScore W2053133911C105795698 @default.
- W2053133911 hasConceptScore W2053133911C121332964 @default.
- W2053133911 hasConceptScore W2053133911C121864883 @default.
- W2053133911 hasConceptScore W2053133911C126255220 @default.
- W2053133911 hasConceptScore W2053133911C127413603 @default.
- W2053133911 hasConceptScore W2053133911C130217890 @default.
- W2053133911 hasConceptScore W2053133911C135628077 @default.
- W2053133911 hasConceptScore W2053133911C18903297 @default.
- W2053133911 hasConceptScore W2053133911C19499675 @default.
- W2053133911 hasConceptScore W2053133911C24810621 @default.