Linear Elasticity: Equations of Linear Elasticity

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Page 3 of 4

Explores stress, strain, equilibrium, and elasticity concepts, including Hooke's law and the Strain Tensor.

Explores constitutive equations in geomechanics, stress-strain behavior, and practical applications in engineering.

Introduces the basics of linear elasticity, material functions, and stress-strain relationships in isotropic materials.

Covers Hooke's Law in elasticity, discussing stiffness and compliance tensors.

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

Explores hyperelasticity through the inflation of a balloon, discussing force balance, material behavior, and boundary conditions.

Covers elastic inhomogeneity and Eshelby's solution for matching shapes and stresses of inclusions.

Covers axial loading, stress, strain, and their implications in deformable bodies.

Explores linear elasticity in 3D, stress-strain relationship, isotropic materials, and shear stress importance.

Covers the theory of elasticity to describe vibrational modes of mechanical resonators.