Differential Geometry and Continuum Mechanics

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Chen, Gui-Qiang G. (Επιμελητής έκδοσης), Grinfeld, Michael (Επιμελητής έκδοσης), Knops, R. J. (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Έκδοση: 1st ed. 2015.
• Σειρά: Springer Proceedings in Mathematics & Statistics, 137
• Θέματα: Mathematics.; Partial differential equations.; Mathematical physics.; Differential geometry.; Physics.; Continuum mechanics.; Materials science.; Partial Differential Equations.; Mathematical Applications in the Physical Sciences.; Differential Geometry.; Mathematical Methods in Physics.; Continuum Mechanics and Mechanics of Materials.; Materials Science, general.

This book examines the exciting interface between differential geometry and continuum mechanics, now recognised as being of increasing technological significance. Topics discussed include isometric embeddings in differential geometry and the relation with microstructure in nonlinear elasticity, the...

Πίνακας περιεχομένων:

• Compensated compactness with more geometry
• GLOBAL ISOMETRIC EMBEDDING OF SURFACES IN R3
• Singular perturbation problems involving curvature
• Lectures on the Isometric Embedding Problem(Mn, g) → IRm, m = n2 (n + 1)
• Continuum mechanics of the interaction of phase boundaries and dislocations in solids
• Manifolds in a theory of microstructures
• On the Geometry and Kinematics of Smoothly Distributed and Singular Defects
• Non-Metricity and the Nonlinear Mechanics of Distributed Point Defects
• Are microcontinuum field theories of elasticity amenable to experiments? – A review of some recent results
• ON THE VARIATIONAL LIMITS OF LATTICE ENERGIES ON PRESTRAINED ELASTIC BODIES
• Static Elasticity in a Riemannian Manifold
• Calculating the bending moduli of the Canham-Helfrich free-energy density
• Elasticity of Twist-Bend Nematic Phases.