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Lecture
Finite & Infinite Deformation: Key Distinction
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Related lectures (43)
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Covers the topic of conformal transformations, including translations, dilations, rotations, and the conformal algebra.
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Geometric Transformations in R2 and R3: Visualizations and Rotations
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Elastic Deformation: Material Properties
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Explores material properties, stress, strain, and deformation gradient in elastic deformation.
Continuum Mechanics: Forces and Deformation
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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.
Deformation and Rotation
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Covers linear and volume deformations, angular deformations, and rotation speed.
Linear Elasticity in 3D: Beam Bending
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Covers linear elasticity in 3D, focusing on beam bending and stress-strain behavior of materials.
Structural Mechanics: Beam Bending and Boundary Conditions
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Explores the moment-curvature relation for beams, emphasizing stress distribution and typical boundary conditions.
Linear Elasticity (3D)
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Explores linear elasticity in 3D, stress-strain relationship, isotropic materials, and shear stress importance.
Continuum Mechanics: Kinematics and Deformation Analysis
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Covers kinematics and deformation in continuum mechanics, focusing on displacement vectors and the deformation gradient tensor.
Polar Decomposition Theorem
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Explains the Polar Decomposition Theorem, which isolates stretching from rotation to prevent stress induction in the body.
Nonlinear Beam Theory: Mechanics of Slender Structure
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Covers strain-displacement relations, simplifications, constitutive relations, equilibrium equations, and circular rings.
Continuum Mechanics: Forces and Deformation
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Explores the laws of dynamics, stress, energy conservation, and deformation in continuum mechanics.
Vectors and Tensors: Mathematical Preliminaries and Transformations
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Explores mathematical preliminaries of tensors and their transformations under basis rotations.
Mechanical Behavior of Materials: Deformation & Fatigue
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Explores deformation mechanisms, cyclic loading, and fatigue phenomena in materials.
Deformation of Straight Beams
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Explores the deformation of straight beams, calculating deflections and rotations under different load cases.
Nonlinear beam theory
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Covers strain-displacement relations, equilibrium equations, and energy functional in nonlinear beam theory with small strain and moderate rotation.
Geometrically Necessary Dislocations in Materials
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Explains geometrically necessary dislocations in materials and their role in reducing work hardening.
Inertia Tensor: Main Axes and Principal Moments
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Explains the inertia tensor, main axes, principal moments, and balancing of rotating solids.
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