FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2891900108> ?p ?o ?g. }

• W2891900108 endingPage "MR352" @default.
• W2891900108 startingPage "MR345" @default.
• W2891900108 abstract "The mechanical basis of the popular Cole-Cole rheological model in viscoelasticity is investigated by using Lagrangian mechanics with nonlinear energy dissipation. The Cole-Cole model is usually viewed as a convenient way to fit the observed frequency-dependent attenuation and velocity-dispersion spectra, but its time-domain and numerical formulations are complex and contradict standard physical principles. For example, time-domain modeling of Cole-Cole media requires special mathematical tools such as fractional derivatives, convolutional integrals, and/or memory variables. Nevertheless, we find that Cole-Cole spectra naturally arise from conventional mechanics with nonlinear internal friction (non-Newtonian viscosity). The Lagrangian mechanical formulation is applied to a finite body (a rock sample in a laboratory experiment) and a wave-propagating medium, in both cases providing rigorous differential equations of motion and revealing the time- and frequency-independent material properties. The model also leads to a generalized Cole-Cole (GCC) model with multiple internal variables (relaxation mechanisms), similar to the generalized standard linear solid (GSLS). As a practical application, the GSLS and GCC models are compared on interpretations of recent P-wave attenuation and dispersion measurements on bitumen-sand samples in the laboratory. The GSLS and GCC models can be used to predict the observed strain/stress ratios with adequate accuracy. However, each of these models offers certain advantages, which are the linearity (for GSLS) and potentially smaller number of dynamic variables and broader peaks in attenuation spectra (for GCC). Therefore, additional experiments focusing on linearity of internal friction are required to establish which of these models may be preferable for rock. The Lagrangian approach provides a simple and physically meaningful way for comparing all types of observations, formulating numerical modeling schemes, and predicting the propagation of waves and behavior of other deformations of earth media." @default.
• W2891900108 created "2018-09-27" @default.
• W2891900108 creator A5008251653 @default.
• W2891900108 creator A5068410331 @default.
• W2891900108 date "2018-11-01" @default.
• W2891900108 modified "2023-09-24" @default.
• W2891900108 title "Mechanical interpretation and generalization of the Cole-Cole model in viscoelasticity" @default.
• W2891900108 cites W1823717978 @default.
• W2891900108 cites W1940346785 @default.
• W2891900108 cites W1945220386 @default.
• W2891900108 cites W1994756095 @default.
• W2891900108 cites W2005660297 @default.
• W2891900108 cites W2026039351 @default.
• W2891900108 cites W2036664654 @default.
• W2891900108 cites W2040341637 @default.
• W2891900108 cites W2072180467 @default.
• W2891900108 cites W2086414472 @default.
• W2891900108 cites W2088376080 @default.
• W2891900108 cites W2102243194 @default.
• W2891900108 cites W2117114165 @default.
• W2891900108 cites W2128748091 @default.
• W2891900108 cites W2137225853 @default.
• W2891900108 cites W2150839751 @default.
• W2891900108 cites W2154715492 @default.
• W2891900108 cites W2155146931 @default.
• W2891900108 cites W2164216992 @default.
• W2891900108 cites W2208863142 @default.
• W2891900108 cites W2291343573 @default.
• W2891900108 cites W2345394035 @default.
• W2891900108 cites W2410312969 @default.
• W2891900108 cites W2413078019 @default.
• W2891900108 cites W2429333050 @default.
• W2891900108 cites W2470691918 @default.
• W2891900108 cites W2501456448 @default.
• W2891900108 cites W2520675231 @default.
• W2891900108 cites W2591973940 @default.
• W2891900108 cites W2623152667 @default.
• W2891900108 cites W2735067575 @default.
• W2891900108 cites W2758535157 @default.
• W2891900108 cites W2767618867 @default.
• W2891900108 cites W2768513114 @default.
• W2891900108 cites W2790455945 @default.
• W2891900108 cites W4234969902 @default.
• W2891900108 doi "https://doi.org/10.1190/geo2017-0821.1" @default.
• W2891900108 hasPublicationYear "2018" @default.
• W2891900108 type Work @default.
• W2891900108 sameAs 2891900108 @default.
• W2891900108 citedByCount "10" @default.
• W2891900108 countsByYear W28919001082018 @default.
• W2891900108 countsByYear W28919001082019 @default.
• W2891900108 countsByYear W28919001082020 @default.
• W2891900108 countsByYear W28919001082022 @default.
• W2891900108 countsByYear W28919001082023 @default.
• W2891900108 crossrefType "journal-article" @default.
• W2891900108 hasAuthorship W2891900108A5008251653 @default.
• W2891900108 hasAuthorship W2891900108A5068410331 @default.
• W2891900108 hasConcept C120665830 @default.
• W2891900108 hasConcept C121332964 @default.
• W2891900108 hasConcept C121864883 @default.
• W2891900108 hasConcept C133386390 @default.
• W2891900108 hasConcept C134306372 @default.
• W2891900108 hasConcept C135402231 @default.
• W2891900108 hasConcept C154249771 @default.
• W2891900108 hasConcept C15744967 @default.
• W2891900108 hasConcept C158622935 @default.
• W2891900108 hasConcept C177562468 @default.
• W2891900108 hasConcept C182849566 @default.
• W2891900108 hasConcept C184652730 @default.
• W2891900108 hasConcept C186541917 @default.
• W2891900108 hasConcept C200990466 @default.
• W2891900108 hasConcept C2776029896 @default.
• W2891900108 hasConcept C33923547 @default.
• W2891900108 hasConcept C49040817 @default.
• W2891900108 hasConcept C57879066 @default.
• W2891900108 hasConcept C62520636 @default.
• W2891900108 hasConcept C75733527 @default.
• W2891900108 hasConcept C77170095 @default.
• W2891900108 hasConcept C77805123 @default.
• W2891900108 hasConcept C97355855 @default.
• W2891900108 hasConceptScore W2891900108C120665830 @default.
• W2891900108 hasConceptScore W2891900108C121332964 @default.
• W2891900108 hasConceptScore W2891900108C121864883 @default.
• W2891900108 hasConceptScore W2891900108C133386390 @default.
• W2891900108 hasConceptScore W2891900108C134306372 @default.
• W2891900108 hasConceptScore W2891900108C135402231 @default.
• W2891900108 hasConceptScore W2891900108C154249771 @default.
• W2891900108 hasConceptScore W2891900108C15744967 @default.
• W2891900108 hasConceptScore W2891900108C158622935 @default.
• W2891900108 hasConceptScore W2891900108C177562468 @default.
• W2891900108 hasConceptScore W2891900108C182849566 @default.
• W2891900108 hasConceptScore W2891900108C184652730 @default.
• W2891900108 hasConceptScore W2891900108C186541917 @default.
• W2891900108 hasConceptScore W2891900108C200990466 @default.
• W2891900108 hasConceptScore W2891900108C2776029896 @default.
• W2891900108 hasConceptScore W2891900108C33923547 @default.
• W2891900108 hasConceptScore W2891900108C49040817 @default.
• W2891900108 hasConceptScore W2891900108C57879066 @default.
• W2891900108 hasConceptScore W2891900108C62520636 @default.

• next