Lectures related to Deformation Analysis in Solids

Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.

Chemical Environments: Representations and Correlations

Explores chemical environment representations, symmetrized correlations, and machine learning applications at the atomic scale.

Vectors and Tensors: Mathematical Preliminaries and Transformations

Explores mathematical preliminaries of tensors and their transformations under basis rotations.

Polar Decomposition Theorem

Explores the Polar Decomposition Theorem, decomposing deformations into stretches and rotations, discussing uniqueness and implications in continuum mechanics.

Finite & Infinite Deformation: Key Distinction

Explains the geometric interpretation of eigen vectors and values in material deformation.

Spherical Tensors and Wigner-Eckart Theorem

Covers the transformation of vectors and tensors in quantum physics.

Kinetic Energy of Solids

Discusses the kinetic energy of solids and the selection of benchmarks and points of affluence.

Symmetry Elements in Materials Science

Covers the fundamental concepts of symmetry elements in materials science.

Mechanics of Solids: Rotation and Equilibrium

Explores the mechanics of solids, emphasizing rotation and equilibrium principles.

Advanced Physics I

Covers velocity, acceleration, dynamics, moments of inertia, and kinetic energy storage systems.

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.