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Lecture
Mechanics of Continuous Media: Deformations and Volume Changes
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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.
Finite & Infinite Deformation: Key Distinction
Explains the geometric interpretation of eigen vectors and values in material deformation.
Relative Deformation in 3D: Strain Matrix
Explores relative deformation in 3D through strain matrix and displacement gradient, emphasizing constraints, stress-strain relations, and equilibrium equations.
Continuum Mechanics: Forces and Deformation
Covers the basics of continuum mechanics, including forces transmission, energy conservation, and body motion geometry.
Deformation Analysis: Small Strain and Kinematics
Explores small strain theory, kinematics, and compatibility conditions in solid mechanics.
Geometrically Necessary Dislocations in Materials
Explains geometrically necessary dislocations in materials and their role in reducing work hardening.
Continuum Mechanics: Forces and Deformation
Explores the laws of dynamics, stress, energy conservation, and deformation in continuum mechanics.
Generalized Hooke Law: Deformation and Stiffness Matrices
Explores the Generalized Hooke Law, stiffness matrices, and deformation effects in materials.
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Explores the theory of elasticity, including Hooke's law, strain tensors, stress tensor, and thermodynamics of deformation.