Finite & Infinite Deformation: Key Distinction

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Elastic Deformation: Material Properties

Explores material properties, stress, strain, and deformation gradient in elastic deformation.

Continuum Mechanics: Forces and Deformation

Covers continuum mechanics, forces transmission, energy conservation, solid deformation, and tensor calculus, emphasizing the symmetry of principle strains and the geometric interpretation of eigen vectors.

Conformal Transformations: Part 1

Covers the topic of conformal transformations, including translations, dilations, rotations, and the conformal algebra.

Deformation and Rotation

Covers linear and volume deformations, angular deformations, and rotation speed.

Linear Elasticity in 3D: Beam Bending

Covers linear elasticity in 3D, focusing on beam bending and stress-strain behavior of materials.

Structural Mechanics: Beam Bending and Boundary Conditions

Explores the moment-curvature relation for beams, emphasizing stress distribution and typical boundary conditions.

Deformation and Strain Tensors

Explores deformation and strain tensors, Lagrange representation, elasticity theory, and the divergence theorem.

Linear Elasticity (3D)

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

Continuum Mechanics: Kinematics and Deformation Analysis

Covers kinematics and deformation in continuum mechanics, focusing on displacement vectors and the deformation gradient tensor.

Polar Decomposition Theorem

Explains the Polar Decomposition Theorem, which isolates stretching from rotation to prevent stress induction in the body.