Lecture

Elastic Energy: Implementation and Analysis

Related lectures (31)

Explores deformation and strain tensors, Lagrange representation, elasticity theory, and the divergence theorem.

Covers linear elasticity in 3D, focusing on beam bending and stress-strain behavior of materials.

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

Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.

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

Explores the theory of elasticity, including Hooke's law, strain tensors, stress tensor, and thermodynamics of deformation.

Covers the review of 3D Linear Elasticity and beams, focusing on mechanics of slender structures.

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

Covers the deformation of plates in pure bending, total strain energy, and applications like wrinkling.

Covers dimensional analysis, physical similarity, and structural mechanics, emphasizing the importance of scaling laws in solving complex problems.

Explores linear elasticity, stress-strain relationships, and beam bending kinematics with a focus on stress tensors and internal forces.

Delves into self-similar phenomena in fluid dynamics and elasticity, covering Stokes' equation, nonlinear elasticity, and viscoelastic flow.

Explores material models for elastic objects, including inverse shape optimization and hyperelasticity.

Covers the framework for plates, bending and stretching energies, and Föppl-von Kármán Equations, exploring mean and Gaussian curvatures.

Covers stress and strain tensors, elasticity, and digital image correlation for quantifying strain fields.

Covers the computation of elastic energy in solid mechanics and equilibrium steps using conjugate gradients.

Covers stress, strain tensors, material constants, and beam bending fundamentals.

Explores stress, strain invariants, constitutive laws, failure criteria, and material properties in solid mechanics.

Covers linearity between stress and strain in 3D and isotropic linear elasticity equations.

Explores stress-strain relationships, equilibrium of forces, and material properties in mechanics.