Lectures in course ME-437: Advanced solid mechanics

Elasticity: Deformation and Strain Log in to Mediaspace to watch this video

Explores stress, strain, equilibrium, and Hooke's law in elasticity.

Elasticity: Stiffness and Compliance Tensors Log in to Mediaspace to watch this video

Covers stiffness and compliance tensors, Hooke's law, stress-strain relations, and material symmetries.

Composite Effective Elastic Constants Log in to Mediaspace to watch this video

Explores the determination of effective elastic constants for composites using real microstructures as examples.

Effective Elasticity: Rigorous Bounds Log in to Mediaspace to watch this video

Explores effective elasticity through rigorous bounds for material properties and the minimization of total elastic energy in composites.

Rigorous Bounds: Isotropic Phases Log in to Mediaspace to watch this video

Explores rigorous upper and lower bounds for isotropic phase composites and their microstructure arrangement, focusing on laminated plates and stress-strain relationships.

Composite Elastic Constants Log in to Mediaspace to watch this video

Covers the derivation of exact results for small strains in composite materials and the implications of experimental data outside these limits.

Computational Modeling of Microstructures Log in to Mediaspace to watch this video

Covers computational modeling of microstructures, statistical measures, microstructure reconstruction, and virtual material testing.

Laminate Analysis: Introduction Log in to Mediaspace to watch this video

Introduces laminate analysis, covering plane stress, rotation in 2D, and special laminates.

Kirchhoff-Love Plate Theory Log in to Mediaspace to watch this video

Explores Kirchhoff-Love Plate Theory, discussing laminates, displacement components, kinematic assumptions, and equilibrium conditions.

Classical Laminate Theory Log in to Mediaspace to watch this video

Covers Classical Laminate Theory for solving mechanics problems with multiple material layers, discussing displacements, strains, stresses, and equilibrium.

Composite Laminate Analysis Log in to Mediaspace to watch this video

Covers the Classical Laminate Theory for analyzing stresses in composite laminates.

Eshelby Inclusion Mechanics Log in to Mediaspace to watch this video

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

Boundary Value Problems in Elasticity Log in to Mediaspace to watch this video

Explores Boundary Value Problems in Elasticity, stress-strain relations, and the use of Green's function in solving elasticity problems.

Elastic Inclusions Log in to Mediaspace to watch this video

Explores elastic inclusions, discussing strain and stress fields, Eshelby method, and energy storage.

Elastic Inhomogeneity: Eshelby's Solution Log in to Mediaspace to watch this video

Covers elastic inhomogeneity and Eshelby's solution for matching shapes and stresses of inclusions.

Ellipsoidal Void Stress Concentrations Log in to Mediaspace to watch this video

Explores stress concentrations on ellipsoidal void surfaces and the impact of inclusion on stress distribution.

Effective Elastic Moduli Log in to Mediaspace to watch this video

Explains effective elastic moduli in composite materials and the Eshelby inclusion theory for stress and strain analysis.

Fracture Mechanics: Introduction and Crack Analysis Log in to Mediaspace to watch this video

Covers fracture mechanics fundamentals, including crack analysis and growth conditions.

Crack Growth: Stress Intensity and Fracture Mechanics Log in to Mediaspace to watch this video

Explores crack growth, stress intensity factors, and fracture mechanics in materials, emphasizing energy considerations and critical stress intensity for crack growth onset.

Weibull Model: Random Data Log in to Mediaspace to watch this video

Explores the Weibull model's application to random data and its significance in analyzing material strength and failure probability.