Calculus of Variations on Thin Prestressed Films Asymptotic Methods in Elasticity
This monograph considers the analytical and geometrical questions emerging from the study of thin elastic films that exhibit residual stress at free equilibria. It provides the comprehensive account, the details and background on the most recent results in the combined research perspective on the cl...
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| Format: | eBook |
| Language: | English |
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Cham
Birkhäuser
2023, 2023
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| Edition: | 1st ed. 2023 |
| Series: | Progress in Nonlinear Differential Equations and Their Applications
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| Subjects: | |
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| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Introduction
- Part I: Tools in Mathematical Analysis
- Γ-Convergence
- Korn's Inequality
- Friesecke-James-Müller’s Inequality
- Part II: Dimension Reduction in Classical Elasticity
- Limiting Theories for Elastic Plates and Shells: Nonlinear Bending
- Limiting Theories for Elastic Plates and Shells: Sublinear and Linear
- Linear Theories for Elastic Plates: Linearized Bending
- Infinite Hierarchy of Elastic Shell Models
- Limiting Theories on Elastic Elliptic Shells
- Limiting Theories on Elastic Developable Shells
- Part III: Dimension Reduction in Prestressed Elasticity
- Limiting Theories for Prestressed Films: Nonlinear Bending
- Limiting Theories for Prestressed Films: Von Kármán-like Theory
- Infinite Hierarchy of Limiting Theories for Prestressed Films
- Limiting Theories for Weakly Prestressed Films
- Terminology and Notation
- Index.