Coverart for item
The Resource Topics in the mathematical modelling of composite materials, Andrej V. Cherkaev, Robert Kohn, editors

Topics in the mathematical modelling of composite materials, Andrej V. Cherkaev, Robert Kohn, editors

Label
Topics in the mathematical modelling of composite materials
Title
Topics in the mathematical modelling of composite materials
Statement of responsibility
Andrej V. Cherkaev, Robert Kohn, editors
Contributor
Editor
Subject
Language
eng
Member of
Cataloging source
GW5XE
Dewey number
620.1/18
Illustrations
illustrations
Index
no index present
LC call number
TA418.9.C6
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorDate
1950-
http://library.link/vocab/relatedWorkOrContributorName
  • Cherkaev, Andrej
  • Kohn, Robert
Series statement
Modern Birkhäuser classics,
http://library.link/vocab/subjectName
Composite materials
Label
Topics in the mathematical modelling of composite materials, Andrej V. Cherkaev, Robert Kohn, editors
Instantiates
Publication
Note
"Reprint of the 1997 edition."
Antecedent source
unknown
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Intro; Contents; Introduction; References; On the Control of Coefficients in Partial Differential Equations; 1. Introduction; 2. The limit problem; 3. Physical interpretation; 4. Necessary conditions of optimality; References; Estimations of Homogenized Coefficients; 1. Introduction; 2. The model problem; 3. Bounds; 4. Comments; 5. References; H-Convergence; Foreword to the English Translation; 1 Notation; 2 Introductory Remarks; 3 The One-Dimensional Case; 4 Layering; 5 Definition of the H-Convergence; 6 Locality; 7 Two Fundamental Lemmata
  • Example 2.6. Nonspherical holes periodically distributed in volume in RNExample 2.9. Spherical holes periodically distributed on a hyperplane of RN; Generalizations; Example 2.14. Bilaplacian; Example 2.15. The operator -div(A grad) with constant coefficients; Example 2.16. The operator -div(A grad) with continuous coefficients; 3. Weak lower semicontinuity of the energy. Correctors; Generalizations; 4. Variational inequalities with highly oscillating obstacles; Generalizations; References; Afterword; Additional references; Design of Composite Plates of Extremal Rigidity
  • Part I. Optimal structures of composites1. Statement of the problem; 2. Derivation of the bounds for the stiffness; 3. The bounds for the stiffness of a composite; 4. Structures that saturate the bounds; 5. The analysis of obtained results; 6. Optimal design of a microstructure of composite plates with fixed volume fractions of phases; 7. Optimal distribution of materials throughout the plate; 8. Effect of optimization; 9. Sufficient conditions of absence of intermediate values of the thickness; References; Calculus of Variations and Homogenization; Introduction
  • PART I. PRELIMINARIESI.a. An Abstract Formulation of Relaxation; I.b. L. C. Young's Generalized Functions; I.c. Pontryagin's Principle; PART II. HOMOGENIZATION; PART III. GENERALIZED DOMAINS AND NECESSARY CONDITIONS OF OPTIMALITY; PART IV. EXAMPLE ONE; PART V. EXAMPLE TWO; REFERENCES; REFERENCES ADDED AT THE Tl1\IE OF THE TRANSLATION; Effective Characteristics of Composite Materials and the Optimal Design of Structural Elements; 1. Introduction; 2. On the specific features of optimal design problems for inhomogeneous bodies; 2.1. On the formulation of basic optimal design problems
Dimensions
unknown
Extent
1 online resource (xvi, 317 pages)
File format
unknown
Form of item
online
Isbn
9783319971834
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-97184-1
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
Label
Topics in the mathematical modelling of composite materials, Andrej V. Cherkaev, Robert Kohn, editors
Publication
Note
"Reprint of the 1997 edition."
Antecedent source
unknown
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Intro; Contents; Introduction; References; On the Control of Coefficients in Partial Differential Equations; 1. Introduction; 2. The limit problem; 3. Physical interpretation; 4. Necessary conditions of optimality; References; Estimations of Homogenized Coefficients; 1. Introduction; 2. The model problem; 3. Bounds; 4. Comments; 5. References; H-Convergence; Foreword to the English Translation; 1 Notation; 2 Introductory Remarks; 3 The One-Dimensional Case; 4 Layering; 5 Definition of the H-Convergence; 6 Locality; 7 Two Fundamental Lemmata
  • Example 2.6. Nonspherical holes periodically distributed in volume in RNExample 2.9. Spherical holes periodically distributed on a hyperplane of RN; Generalizations; Example 2.14. Bilaplacian; Example 2.15. The operator -div(A grad) with constant coefficients; Example 2.16. The operator -div(A grad) with continuous coefficients; 3. Weak lower semicontinuity of the energy. Correctors; Generalizations; 4. Variational inequalities with highly oscillating obstacles; Generalizations; References; Afterword; Additional references; Design of Composite Plates of Extremal Rigidity
  • Part I. Optimal structures of composites1. Statement of the problem; 2. Derivation of the bounds for the stiffness; 3. The bounds for the stiffness of a composite; 4. Structures that saturate the bounds; 5. The analysis of obtained results; 6. Optimal design of a microstructure of composite plates with fixed volume fractions of phases; 7. Optimal distribution of materials throughout the plate; 8. Effect of optimization; 9. Sufficient conditions of absence of intermediate values of the thickness; References; Calculus of Variations and Homogenization; Introduction
  • PART I. PRELIMINARIESI.a. An Abstract Formulation of Relaxation; I.b. L. C. Young's Generalized Functions; I.c. Pontryagin's Principle; PART II. HOMOGENIZATION; PART III. GENERALIZED DOMAINS AND NECESSARY CONDITIONS OF OPTIMALITY; PART IV. EXAMPLE ONE; PART V. EXAMPLE TWO; REFERENCES; REFERENCES ADDED AT THE Tl1\IE OF THE TRANSLATION; Effective Characteristics of Composite Materials and the Optimal Design of Structural Elements; 1. Introduction; 2. On the specific features of optimal design problems for inhomogeneous bodies; 2.1. On the formulation of basic optimal design problems
Dimensions
unknown
Extent
1 online resource (xvi, 317 pages)
File format
unknown
Form of item
online
Isbn
9783319971834
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-97184-1
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote

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