Principle of Least Action

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Related lectures (51)

Mechanics: Introduction and Calculus Log in to Mediaspace to watch this video

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Elastic Inclusions Log in to Mediaspace to watch this video

Explores elastic inclusions, discussing strain and stress fields, Eshelby method, and energy storage.

Linear Momentum Balance in Continuum Mechanics Log in to Mediaspace to watch this video

Covers the evaluation of linear momentum balance in continua, focusing on stress vectors and tensors, and deriving the governing equations for momentum conservation.

Von-Mises Plasticity: Yield Criteria and Stress Invariants Log in to Mediaspace to watch this video

Explores the Von-Mises plasticity theory, discussing yield criteria and stress invariants.

Eshelby Inclusion Mechanics Log in to Mediaspace to watch this video

Explores the Eshelby method for ellipsoidal inclusions and the mechanics of particles undergoing shape changes due to eigenstrains.

Euler-Lagrange Equations Log in to Mediaspace to watch this video

Covers the derivation and application of Euler-Lagrange equations for optimization problems in mathematical analysis.

Mechanics of Helix under Gravity: Slender Structure Log in to Mediaspace to watch this video

Explores the equilibrium shapes of helical thin rods under weak gravity.

Internal Equilibrium of Solids Log in to Mediaspace to watch this video

Covers the theory of elasticity, internal equilibrium, stress, and strain in deformable solid bodies.

Symmetric Stress Tensor Log in to Mediaspace to watch this video

Explains principal stresses, spectral decomposition, simple states of stress, and the importance of a symmetric stress tensor.

Continuum Mechanics: Forces and Deformation Log in to Mediaspace to watch this video

Covers the basics of continuum mechanics, including forces transmission, energy conservation, and body motion geometry.

Linear Momentum Conservation and Stress in Continuum Log in to Mediaspace to watch this video

Explores the conservation of linear momentum and stress in a continuum, focusing on governing equations and constitutive laws.

Fil Winding: Mechanics Analysis Log in to Mediaspace to watch this video

Analyzes the winding of a thread around a fixed cylinder and the motion of a point mass attached to it.

General Physics: Mechanics Log in to Mediaspace to watch this video

Covers the organization of a general physics course for mathematics students, focusing on mechanical problems and fundamental laws of physics.

Internal Load Diagrams: Structural Mechanics Exercises Log in to Mediaspace to watch this video

Covers the analysis of internal load diagrams in structural mechanics through various exercises and examples.

Mechanics: Potential Energy and Oscillations Log in to Mediaspace to watch this video

Explores potential energy, equilibrium points, and oscillations in mechanics.

Elasticity in Mechanics: Rods, Buckling, and Heat Transfer Log in to Mediaspace to watch this video

Covers continuum bars, elasticity, rods, heat transfer, and structural analysis.

Virtual Work Principles: Structural Analysis Techniques Log in to Mediaspace to watch this video

Discusses the principles of virtual work in structural analysis and their application to fixed beams and elastic materials.

Small Displacements in Mechanics Log in to Mediaspace to watch this video

Covers the concept of small displacements in mechanics and the assumptions made for moment balance.

Linear Elasticity (3D)Log in to Mediaspace to watch this video

Explores linear elasticity in 3D, stress-strain relationship, isotropic materials, and shear stress importance.

Material Properties: Stress Analysis Log in to Mediaspace to watch this video

Covers material properties, stress-strain curves, failure criteria, and stress analysis.

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