Topics in the Mathematical Modelling of Composite Materials:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1997
|
| Schriftenreihe: | Progress in Nonlinear Differential Equations and Their Applications
31 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Andrej V. Cherkaev and Robert V. Kohn In the past twenty years we have witnessed a renaissance of theoretical work on the macroscopic behavior of microscopically heterogeneous mate rials. This activity brings together a number of related themes, including: ( 1) the use of weak convergence as a rigorous yet general language for the discussion of macroscopic behavior; (2) interest in new types of questions, particularly the "G-closure problem," motivated in large part by applications of optimal control theory to structural optimization; (3) the introduction of new methods for bounding effective moduli, including one based on "com pensated compactness"; and (4) the identification of deep links between the analysis of microstructures and the multidimensional calculus of variations. This work has implications for many physical problems involving optimal design, composite materials, and coherent phase transitions. As a result it has received attention and support from numerous scientific communities, including engineering, materials science, and physics as well as mathematics. There is by now an extensive literature in this area. But for various reasons certain fundamental papers were never properly published, circu lating instead as mimeographed notes or preprints. Other work appeared in poorly distributed conference proceedings volumes. Still other work was published in standard books or journals, but written in Russian or French. The net effect is a sort of "gap" in the literature, which has made the subject unnecessarily difficult for newcomers to penetrate |
| Beschreibung: | 1 Online-Ressource (XIV, 321 p) |
| ISBN: | 9781461220329 9781461273905 |
| DOI: | 10.1007/978-1-4612-2032-9 |
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| spelling | Cherkaev, Andrej Verfasser aut Topics in the Mathematical Modelling of Composite Materials edited by Andrej Cherkaev, Robert Kohn Boston, MA Birkhäuser Boston 1997 1 Online-Ressource (XIV, 321 p) txt rdacontent c rdamedia cr rdacarrier Progress in Nonlinear Differential Equations and Their Applications 31 Andrej V. Cherkaev and Robert V. Kohn In the past twenty years we have witnessed a renaissance of theoretical work on the macroscopic behavior of microscopically heterogeneous mate rials. This activity brings together a number of related themes, including: ( 1) the use of weak convergence as a rigorous yet general language for the discussion of macroscopic behavior; (2) interest in new types of questions, particularly the "G-closure problem," motivated in large part by applications of optimal control theory to structural optimization; (3) the introduction of new methods for bounding effective moduli, including one based on "com pensated compactness"; and (4) the identification of deep links between the analysis of microstructures and the multidimensional calculus of variations. This work has implications for many physical problems involving optimal design, composite materials, and coherent phase transitions. As a result it has received attention and support from numerous scientific communities, including engineering, materials science, and physics as well as mathematics. There is by now an extensive literature in this area. But for various reasons certain fundamental papers were never properly published, circu lating instead as mimeographed notes or preprints. Other work appeared in poorly distributed conference proceedings volumes. Still other work was published in standard books or journals, but written in Russian or French. The net effect is a sort of "gap" in the literature, which has made the subject unnecessarily difficult for newcomers to penetrate Mathematics Computer science Mathematical Modeling and Industrial Mathematics Applications of Mathematics Computational Science and Engineering Informatik Mathematik Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Verbundwerkstoff (DE-588)4062670-2 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Verbundwerkstoff (DE-588)4062670-2 s Mathematisches Modell (DE-588)4114528-8 s 2\p DE-604 Kohn, Robert Sonstige oth https://doi.org/10.1007/978-1-4612-2032-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Cherkaev, Andrej Topics in the Mathematical Modelling of Composite Materials Mathematics Computer science Mathematical Modeling and Industrial Mathematics Applications of Mathematics Computational Science and Engineering Informatik Mathematik Mathematisches Modell (DE-588)4114528-8 gnd Verbundwerkstoff (DE-588)4062670-2 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4062670-2 (DE-588)4143413-4 |
| title | Topics in the Mathematical Modelling of Composite Materials |
| title_auth | Topics in the Mathematical Modelling of Composite Materials |
| title_exact_search | Topics in the Mathematical Modelling of Composite Materials |
| title_full | Topics in the Mathematical Modelling of Composite Materials edited by Andrej Cherkaev, Robert Kohn |
| title_fullStr | Topics in the Mathematical Modelling of Composite Materials edited by Andrej Cherkaev, Robert Kohn |
| title_full_unstemmed | Topics in the Mathematical Modelling of Composite Materials edited by Andrej Cherkaev, Robert Kohn |
| title_short | Topics in the Mathematical Modelling of Composite Materials |
| title_sort | topics in the mathematical modelling of composite materials |
| topic | Mathematics Computer science Mathematical Modeling and Industrial Mathematics Applications of Mathematics Computational Science and Engineering Informatik Mathematik Mathematisches Modell (DE-588)4114528-8 gnd Verbundwerkstoff (DE-588)4062670-2 gnd |
| topic_facet | Mathematics Computer science Mathematical Modeling and Industrial Mathematics Applications of Mathematics Computational Science and Engineering Informatik Mathematik Mathematisches Modell Verbundwerkstoff Aufsatzsammlung |
| url | https://doi.org/10.1007/978-1-4612-2032-9 |
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