Homogenization Theory: Isotropic Phases and Laminated Plates

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Explores Boundary Value Problems in Elasticity, stress-strain relations, and the use of Green's function in solving elasticity problems.

Kinematics: Deformation and Expansion

Explores kinematics of deformation, focusing on radial and linear expansion, torsion, and rotation by an angle.

Composite Elastic Constants

Covers the derivation of exact results for small strains in composite materials and the implications of experimental data outside these limits.

Effective Elastic Moduli

Explains effective elastic moduli in composite materials and the Eshelby inclusion theory for stress and strain analysis.

Anisotropic Elastic Materials

Covers anisotropic elastic materials, examples, and Voigt notation for stress and strain components, emphasizing the compliance matrix for isotropic materials.

Hyperelasticity: Models for Hyperelastic Materials

Explores hyperelasticity, constitutive models, incompressibility, and stiffness response in isotropic materials.

Composite Materials: Bounds and Microstructures

Delves into homogenization in composite materials, deriving rigorous bounds and discussing statistical parameters and microstructures.

Linear Elasticity: Channel Die Compression with Friction

Explores linear elasticity in confined compression with friction and stress distributions.

Computational Modeling of Microstructures

Covers computational modeling of microstructures, statistical measures, microstructure reconstruction, and virtual material testing.

Shock Waves and Brittle Material Response

Covers shock waves, brittle material response, phase transformation, and Hugoniot relationships in materials under stress.