Skip to main content
Graph
Search
fr
en
Login
Search
All
Categories
Concepts
Courses
Lectures
MOOCs
People
Practice
Publications
Startups
Units
Show all results for
Home
Lecture
Vectors and Tensors: Mathematical Preliminaries and Transformations
Graph Chatbot
Related lectures (31)
Vector Transformation and Tense
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.
Spherical Tensors and Wigner-Eckart Theorem
Covers the transformation of vectors and tensors in quantum physics.
Deformation and Strain Tensors
Explores deformation and strain tensors, Lagrange representation, elasticity theory, and the divergence theorem.
Deformation Analysis in Solids
Explores the analysis of deformation in solids, emphasizing the importance of understanding stress, rotation, and translation.
Finite & Infinite Deformation: Key Distinction
Explains the geometric interpretation of eigen vectors and values in material deformation.
Nonlinear Beam Theory: Mechanics of Slender Structure
Covers strain-displacement relations, simplifications, constitutive relations, equilibrium equations, and circular rings.
Polar Decomposition Theorem
Explores the Polar Decomposition Theorem, decomposing deformations into stretches and rotations, discussing uniqueness and implications in continuum mechanics.
Deformation Analysis: Small Strain and Kinematics
Explores small strain theory, kinematics, and compatibility conditions in solid mechanics.
Rotations: Angular Momentum
Covers angular momentum in rotations, including preservation of angles and vector products.
Elements of Lie Groups and Algebras
Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.
Conformal Transformations: Part 1
Covers the topic of conformal transformations, including translations, dilations, rotations, and the conformal algebra.
Gaussian Curvature in Plates
Explores Gaussian curvature, principal curvatures, and nonlinear strain in thin elastic plates.
Laminate Analysis: Introduction
Introduces the theory behind laminates and their applications in different industries.
Tensors and Lorentz Transformations
Covers tensors, Lorentz transformations, and electrodynamics in relativistic notation.
Covariant Derivatives and Christoffel Symbols
Covers accelerated and inertial coordinate systems, Jacobian, volume elements, covariant derivatives, Christoffel symbols, Lorentz case, and metric tensor properties.
Mechanics of Kirchhoff Rods I
Explores the mechanics of slender structures, introducing concepts like finite strain and finite rotation theory.
Stress and Strain: Generalization to 3D
Covers stress equilibrium, strain, and the generalization of stress to 3D, introducing Hooke's Law and analyzing structures with axial loads.
Special and General Relativity
Introduces special and general relativity, Einstein equations, and gravitational dynamics.
Mechanics of Kirchhoff Rods I
Covers the mechanics of slender structures, focusing on exact kinematics and equilibrium equations of rods.
Previous
Page 1 of 2
Next