Lecture
Vector Fields: Gradient and Divergence
Related lectures (47)
Linear Momentum Conservation and Stress in Continuum
Explores the conservation of linear momentum and stress in a continuum, focusing on governing equations and constitutive laws.
Curve Integrals of Vector Fields
Explores curve integrals of vector fields, emphasizing energy considerations for motion against or with wind, and introduces unit tangent and unit normal vectors.
Tensor Transformations
Introduces tensor transformations, rotation matrices, and differential operators in mechanics.
Linear Shell Theory: Equilibrium and Energy
Covers the expression of the Kirchhoff-Saint Venant energy in a covariant setting and explores equilibrium equations for spherical shells and linear shell theory.
Introduction to Structural Mechanics: Stress and Strain
Covers stress equilibrium, strain, and constitutive equations in 2D and 3D.
Differential Operators: Theorems and Proofs
Covers the concept of differential operators and presents theorems and proofs related to scalar and vector fields.
Stress Components & Transformation of Tensors
Covers stress components, tensor transformation, and invariants in continuum mechanics.
Continuum Mechanics: Theory and Applications
Covers the basics of continuum mechanics, including constitutive laws, stress, dynamics, and fluid motion.
Differential Operators: Gradient and Divergence
Introduces differential operators, gradient, and divergence in vector fields.
Fluid Dynamics Fundamentals
Covers deriving fluid dynamics equations, including mass conservation and stress-strain relationships, through differential analysis and key mathematical concepts.