Lectures related to Evolution Equations for Deformable Solids

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

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

Explores the governing equations of continuum mechanics and their applications in structural integrity and thermal expansion.

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

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

Covers conservation laws, tensor objects, and fluid dynamics in Continuum Mechanics.

Covers stress components, tensor transformation, and invariants in continuum mechanics.

Covers tensor analysis, kinematics, and fluid mechanics in continuum mechanics.

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

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

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

Explores the implementation and analysis of elastic energy in hyperelastic materials, including strain and stress tensors.

Introduces the study of geomechanics, covering the behavior of soils, rocks, and concrete in civil engineering applications.

Discusses Newton's third law, stress tensor symmetry, and the governing equations in continuum mechanics.

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

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

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

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

Discusses tensor transformations and diagonalization of symmetric tensors, focusing on stress analysis and the significance of principal stresses.

Explores the stress tensor definition, Cauchy theorem, and stress forces properties.