دانلود کتاب Differential Geometry and Continuum Mechanics

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Front Matter....Pages i-viii
Front Matter....Pages 1-1
Compensated Compactness with More Geometry....Pages 3-26
Front Matter....Pages 27-27
Global Isometric Embedding of Surfaces in \(\mathbb R^3\) ....Pages 29-47
Singular Perturbation Problems Involving Curvature....Pages 49-75
Lectures on the Isometric Embedding Problem \((M^{n},g)\rightarrow \mathrm {I\!R\!}^{m},\,m=\frac{n}{2}(n+1)\) ....Pages 77-120
Front Matter....Pages 121-121
Continuum Mechanics of the Interaction of Phase Boundaries and Dislocations in Solids....Pages 123-165
Manifolds in a Theory of Microstructures....Pages 167-201
On the Geometry and Kinematics of Smoothly Distributed and Singular Defects....Pages 203-234
Non-metricity and the Nonlinear Mechanics of Distributed Point Defects....Pages 235-251
Front Matter....Pages 253-253
Are Microcontinuum Field Theories of Elasticity Amenable to Experiments? A Review of Some Recent Results....Pages 255-278
On the Variational Limits of Lattice Energies on Prestrained Elastic Bodies....Pages 279-305
Static Elasticity in a Riemannian Manifold....Pages 307-342
Front Matter....Pages 343-343
Calculating the Bending Moduli of the Canham–Helfrich Free-Energy Density....Pages 345-361
Elasticity of Twist-Bend Nematic Phases....Pages 363-380
Back Matter....Pages 381-387