The Resource Topics in the Mathematical Modelling of Composite Materials, edited by Andrej V. Cherkaev, Robert Kohn, (electronic resource)

Topics in the Mathematical Modelling of Composite Materials, edited by Andrej V. Cherkaev, Robert Kohn, (electronic resource)

Label
Topics in the Mathematical Modelling of Composite Materials
Title
Topics in the Mathematical Modelling of Composite Materials
Statement of responsibility
edited by Andrej V. Cherkaev, Robert Kohn
Contributor
Editor
Editor
Subject
Language
  • eng
  • eng
Summary
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
Member of
Dewey number
003.3
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt
  • klJJ4-AWXA4
  • 2vjuXOq5lvw
Image bit depth
0
Language note
English
LC call number
TA342-343
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Cherkaev, Andrej V.
  • Kohn, Robert.
Series statement
Progress in Nonlinear Differential Equations and Their Applications,
Series volume
31
http://library.link/vocab/subjectName
  • Mathematics
  • Computer science
  • Mathematical Modeling and Industrial Mathematics
  • Applications of Mathematics
  • Computational Science and Engineering
Label
Topics in the Mathematical Modelling of Composite Materials, edited by Andrej V. Cherkaev, Robert Kohn, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. On the Control of Coefficients in Partial Differential Equations -- 2. Estimations of Homogenized Coefficients -- 3. H- Convergence -- 4. A Strange Term Coming from Nowhere -- 5. Design of Composite Plates of Extremal Rigidity -- 6. Calculus of Variations and Homogenization -- 7. Effective Characteristics of Composite Materials and the Optimal Design of Structural Elements -- Appendix: Local distribution of a MHD Channel in the case of optimal distribution of the resistivity of the working medium -- 8. Microstructures of Composites of Extremal Rigidity and Exact Bounds on the Associated Energy Density.
Dimensions
unknown
Edition
1st ed. 1997.
Extent
1 online resource (XIV, 321 p.)
File format
multiple file formats
Form of item
online
Isbn
9781461220329
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4612-2032-9
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000089809
  • (DE-He213)978-1-4612-2032-9
  • (SSID)ssj0001298793
  • (PQKBManifestationID)11837361
  • (PQKBTitleCode)TC0001298793
  • (PQKBWorkID)11260203
  • (PQKB)11244048
  • (MiAaPQ)EBC3076756
  • (EXLCZ)993400000000089809
Label
Topics in the Mathematical Modelling of Composite Materials, edited by Andrej V. Cherkaev, Robert Kohn, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. On the Control of Coefficients in Partial Differential Equations -- 2. Estimations of Homogenized Coefficients -- 3. H- Convergence -- 4. A Strange Term Coming from Nowhere -- 5. Design of Composite Plates of Extremal Rigidity -- 6. Calculus of Variations and Homogenization -- 7. Effective Characteristics of Composite Materials and the Optimal Design of Structural Elements -- Appendix: Local distribution of a MHD Channel in the case of optimal distribution of the resistivity of the working medium -- 8. Microstructures of Composites of Extremal Rigidity and Exact Bounds on the Associated Energy Density.
Dimensions
unknown
Edition
1st ed. 1997.
Extent
1 online resource (XIV, 321 p.)
File format
multiple file formats
Form of item
online
Isbn
9781461220329
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4612-2032-9
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000089809
  • (DE-He213)978-1-4612-2032-9
  • (SSID)ssj0001298793
  • (PQKBManifestationID)11837361
  • (PQKBTitleCode)TC0001298793
  • (PQKBWorkID)11260203
  • (PQKB)11244048
  • (MiAaPQ)EBC3076756
  • (EXLCZ)993400000000089809

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