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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
Summary
Over the past several decades, we have witnessed a renaissance of theoretical work on the macroscopic behavior of microscopically heterogeneous materials. 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 "compensated 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, circulating 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. The present, softcover reprint is designed to make this classic text available to a wider audience. "Summarizes some of the fundamental results achieved and offers new perspectives in the mechanics of composite and micromechanics... Will become a classic in the two fields." —Applied Mechanics Review.--
Member of
Assigning source
Provided by publisher
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt
  • -jD6dbhwQX0
  • b-NBzDDgc6Q
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Cherkaev, Andrej V
  • Kohn, Robert
Series statement
  • Modern Birkhäuser Classics,
  • Springer eBooks
  • Springer eBooks.
http://library.link/vocab/subjectName
  • Mathematics
  • Computer science
Label
Topics in the Mathematical Modelling of Composite Materials, edited by Andrej V. Cherkaev, Robert Kohn, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-319-97184-1
Instantiates
Publication
Antecedent source
mixed
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
Control code
978-3-319-97184-1
Dimensions
unknown
Extent
1 online resource (XVI, 317 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319971841
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
55 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1060594900
Label
Topics in the Mathematical Modelling of Composite Materials, edited by Andrej V. Cherkaev, Robert Kohn, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-319-97184-1
Publication
Antecedent source
mixed
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
Control code
978-3-319-97184-1
Dimensions
unknown
Extent
1 online resource (XVI, 317 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319971841
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
55 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1060594900

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