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ME-437: Advanced solid mechanics

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Lectures in this course (66)

Eshelby 3: Modulus Mismatch Log in to Mediaspace to watch this video

Covers modulus mismatch in elastic inhomogeneities, Eshelby's solution, and the implications of using Green's function.

Eshelby Method: Modulus Mismatch and Eigenstrains Log in to Mediaspace to watch this video

Discusses stress concentrations, modulus mismatch, and eigenstrains in materials.

Homogenization Theory: Effective Elastic Constants in Composites Log in to Mediaspace to watch this video

Covers homogenization theory for effective elastic constants in composites, showcasing real microstructure complexity and rigorous bounds development.

Homogenization Theory: Effective Material Properties in Composites Log in to Mediaspace to watch this video

Introduces homogenization theory for composites and discusses rigorous bounds development for material properties, including thermal conductivity.

Homogenization Theory: Isotropic Phases and Laminated Plates Log in to Mediaspace to watch this video

Explores the rigorous bounds on effective properties of isotropic phases and laminated plates.

Displacement Field by Point Forces Log in to Mediaspace to watch this video

Explores solving displacement field by point forces using Green's functions and integration process to obtain total solution.

Composite Materials: Bounds and Microstructures Log in to Mediaspace to watch this video

Delves into homogenization in composite materials, deriving rigorous bounds and discussing statistical parameters and microstructures.

Microstructure Modeling: Homogenization Approach Log in to Mediaspace to watch this video

Explores computational modeling of realistic microstructures, microstructure characterization, and finite element analysis for studying mechanical behavior.

Homogenization with Eshelby: Multiple Inclusions, Effective Moduli Log in to Mediaspace to watch this video

Explores homogenization with Eshelby, analyzing multiple inclusions and effective moduli in composite materials.

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

Introduces the theory behind laminates and their applications in different industries.

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

Discusses Kirchhoff-Love Classical Plate theory for laminates and the relationship between displacements and strains.

Classical Laminate Theory: Analysis & Equilibrium Log in to Mediaspace to watch this video

Covers the Classical Laminate Theory and its analysis of displacements, strains, stresses, and equilibrium in laminated composites.

Laminate Analysis: Stresses and Failures Log in to Mediaspace to watch this video

Covers the analysis of stresses and failures in laminated composites, including the computation of stresses at the ply level.

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

Covers the basics of fracture mechanics, including crack shape and growth analysis.

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

Explores crack growth, stress intensity factor, and fracture toughness in materials.

Fracture Mechanics: Crack Growth and Weakest Link Log in to Mediaspace to watch this video

Explores fracture mechanics, crack growth, and the weakest link theory, emphasizing the statistical distribution of crack sizes and the significance of the largest crack in material failure.

Point Forces and Displacement Fields Log in to Mediaspace to watch this video

Covers the concept of point forces and displacement fields, focusing on expressing point forces mathematically and solving Navier's equations.

Fracture Mechanics: Energy Release Rate and Stress Field Analysis Log in to Mediaspace to watch this video

Covers crack growth conditions, stress field analysis, crack solutions, modulus effects, and crack-tip energy dissipation.

Fracture Mechanics: Atomistic Cohesive Zone Law Log in to Mediaspace to watch this video

Explores fracture mechanics, cohesive zone modeling, and crack growth behavior under varying stress levels, emphasizing the Atomistic Cohesive Zone Law.

Fracture Mechanics: Toughening Mechanisms and Resistance Curve Log in to Mediaspace to watch this video

Explores toughening mechanisms, resistance curves, stress intensity analysis, and energy dissipation in fracture mechanics and fiber-reinforced composites.

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