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| Content Provider | Springer Nature Link |
|---|---|
| Author | Valdez, Andrés R. Rocha, Bernardo M. Igreja, Iury |
| Copyright Year | 2017 |
| Abstract | This article reports an efficient method to characterize constitutive responses based on multiscale modeling for fluid flow in heterogeneous media based on the concept of representative volume element (RVE). Between different scales, it is considered as the basic principles for down-scaling information the conservation of velocity and of the strain rate tensor. Within this context, we formulate (i) the problem to be solved at the micro-scale, (ii) the up-scaling procedure which involves homogenization rules, and (iii) the generalized principle of multiscale virtual power. The complete theory for constitutive modeling is revisited and shown that when employing multiscale analysis among the suitable variational arguments we are able to obtain, in a straightforward manner, new constitutive behavior between kinematic motions and actions. Some examples of application of fluid flow in heterogeneous media with obstacles are presented to show the consequences of the proposed approach. |
| Starting Page | 461 |
| Ending Page | 476 |
| Page Count | 16 |
| File Format | |
| ISSN | 00354511 |
| Journal | Rheologica Acta |
| Volume Number | 56 |
| Issue Number | 5 |
| e-ISSN | 14351528 |
| Language | English |
| Publisher | Springer Berlin Heidelberg |
| Publisher Date | 2017-03-23 |
| Publisher Place | Berlin, Heidelberg |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Multiscale constitutive modeling Representative volume element Stokes flow Homogenization Characterization and Evaluation of Materials Polymer Sciences Soft and Granular Matter, Complex Fluids and Microfluidics Mechanical Engineering Food Science |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mechanics of Materials Condensed Matter Physics Materials Science |
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