Lecture

Continuum Mechanics: Introduction

Related lectures (30)

Explores mass conservation in continuum mechanics, covering stress, dynamics, constitutive laws, and solid deformation.

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

Explores rotating vectors in physics, emphasizing the norm-angular speed relationship and various coordinate systems.

Covers the material point model, initial conditions, and Newton's laws in physics.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Covers the governing equations for forces and motion in continua, including stress, energy conservation, solid deformation, and fluid motion.

Explores a problem of a ball winding around a cylinder, emphasizing coordinate system selection.

Covers frames of reference in physics, emphasizing the importance of choosing a reference frame and the laws of physics in different frames.

Covers the analytical study of space, focusing on points, lines, and planes.

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

Explores the dynamics of a block pulled by a spring under various conditions.

Explains the concept of the instantaneous center of rotation in solid mechanics and how to determine it based on known speeds of points.

Covers the fundamental concepts of mechanics, focusing on forces and motion.

Introduces Newton's laws of motion, covering force, mass, frames of reference, and practical examples like friction and springs.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Covers the fundamental concepts of physics related to the motion of objects in a plane.

Covers the center of mass properties, Newton's laws, and their applications in physics.

Introduces powerful tools for analyzing fluid mechanics problems, emphasizing mass conservation, Newton's second law, and the continuity equation.

Explores uniform rectilinear motion on a carousel, including coriolis force and inertial forces.

Covers Earth's inertial frames, specific forces, and the Vernal Equinox.