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Lecture
Deformation Analysis in Solids
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Laws of Transformation of Velocities and Accelerations
Covers the laws of transformation of speeds and accelerations, including the rotation of points and dynamic movement principles.
Transformation: Constraints and Deformations
Explores the transformation of constraints and deformations in materials, focusing on stress analysis and tensor diagonalization.
Angular Speed of Rotation: Solid System
Analyzes angular speed of rotation, internal forces, vectors, and system transformation in a solid.
Elements of Lie Groups and Algebras
Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.
Deformation and Strain Tensors
Explores deformation and strain tensors, Lagrange representation, elasticity theory, and the divergence theorem.
Inertia Tensor: Main Axes and Principal Moments
Explains the inertia tensor, main axes, principal moments, and balancing of rotating solids.
Continuum Mechanics: Kinematics and Deformation Analysis
Covers kinematics and deformation in continuum mechanics, focusing on displacement vectors and the deformation gradient tensor.
Rotation and Inertia
Covers the concept of rotation, modification, quantity, inertia, and conservation of angular momentum in solid bodies.
Solid Mechanics: Motion Analysis
Explores the analysis of motion in solid mechanics, covering velocity, acceleration, and kinematics of solid bodies.
Rotation Dynamics: Symmetry Axis
Explores rotation dynamics around a symmetry axis, covering angular momentum, center of mass theorem, and solid body movement.