Variational Methods in Mechanics

Related lectures (24)

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Introduces 3D linear elasticity, beams, dimensional analysis, and mechanics of slender structures.

Explores stress tensor symmetry through angular momentum balance in continua, covering topics like energy conservation and constitutive laws.

Introduces Ordinary Differential Equations (ODEs) and their applications in physics, covering basics, initial value problems, and linear ODEs.

Explores the use of PDEs and ODEs in biomechanics, including the Lotka-Volterra model.

Analyzes the motion of a ball on a hemisphere surface with forces and equations of motion.

Explores the classification of PDEs into linear, semi-linear, and quasi-linear types, emphasizing the properties of their solutions.

Explores plasticity, work hardening, critical stress states, and deviatoric stresses in metals.

Explores the moment-curvature relation for beams, emphasizing stress distribution and typical boundary conditions.

Covers the application of finite difference methods to solve partial differential equations.

Explores biomechanical modeling of the musculoskeletal system using differential equations and finite element modeling.