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Lecture
Snow Mechanics: Avalanches
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Linear Elasticity: Equations of Linear Elasticity
Covers the equations of linear elasticity for static problems with small strain, emphasizing uniqueness of solutions and Navier's Equations.
Stress and Strain: Generalization to 3D
Covers stress equilibrium, strain, and the generalization of stress to 3D, introducing Hooke's Law and analyzing structures with axial loads.
Deformation and Strain Tensors
Explores deformation and strain tensors, Lagrange representation, elasticity theory, and the divergence theorem.
Deformable Bodies: Axial Loading and Stiffness
Explores axial loading, stress, strain, and equilibrium states in deformable bodies, emphasizing stability and equilibrium types.
Stress, Strain, Equilibrium: Elasticity
Explores stress, strain, equilibrium, and elasticity concepts, including Hooke's law and the Strain Tensor.
Stress and Strain (beyond 1D)
Covers stress and strain beyond 1D, focusing on hyperstatic systems with pre-stressed elements and internal loads.
Linear Elasticity: 3D
Covers linearity between stress and strain in 3D and isotropic linear elasticity equations.
Mechanics of Slender Structures: Elasticity & Buckling
Explores 3D elasticity, beam bending, and buckling phenomena in slender structures.
Axial Constraints and Deformations
Explores static equilibrium, stress, strain, material properties, and stiffness in structures.
Continuum Mechanics: Kinematics and Deformation Analysis
Covers kinematics and deformation in continuum mechanics, focusing on displacement vectors and the deformation gradient tensor.