Principle of Least Action

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Mechanics of Slender Structures: Elasticity, Plates, Shells

Covers the dimensional reduction in slender structures, constitutive laws, and mechanics of plates and shells.

Linear Momentum Balance in Continuum Mechanics

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

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

Solid Mechanics: Modeling and Simulation

Covers the fundamentals of solid mechanics and modeling techniques for stress analysis.

Eshelby Inclusion Mechanics

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

Field Theory: Action Principles

Discusses the application of action principles in classical field theory, focusing on Lagrange and Hamiltonian formulations.

Mechanics: Equilibrium Points and Stability

Explores equilibrium points and stability in mechanical systems, analyzing how systems return to or move away from their positions after disturbances.

Symmetric Stress Tensor

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

Trajectory Determination in Mechanics

Explains trajectory determination in mechanics, including types of trajectories and effective potential, with practical examples.

Series Springs: Contact Hour 7

Covers the mechanics of series springs and the forces exerted by them.