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Lecture
Solid Mechanics Principles: Greens Functions & Superposition
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Point Forces and Displacement Fields
Covers the concept of point forces and displacement fields, focusing on expressing point forces mathematically and solving Navier's equations.
Displacement Field by Point Forces
Explores solving displacement field by point forces using Green's functions and integration process to obtain total solution.
Solid Mechanics Principles: Greens Functions
Explores Greens functions in solid mechanics, emphasizing the solution of point forces and their impact on displacement fields.
Magnetostatics: Magnetic Field and Force
Covers magnetic fields, Ampère's law, and magnetic dipoles with examples and illustrations.
Eshelby Inclusion: Mechanics and Eigenstrains
Explores the Eshelby method for mechanics of inclusions and eigenstrains, focusing on stress and strain fields inside inclusions.
Solid Mechanics Principles: Eigenstrains
Covers eigenstrains, deformations in a body not caused by stress, and their significance in mechanics.
Fracture Analysis: Energy and Mechanics
Explores macroscopic energy analysis of fracture, focusing on unstable crack growth and energy mechanics.
Fracture Mechanics: Energy Analysis
Explores energy analysis in fracture mechanics, emphasizing unstable crack growth and the importance of compliance in structural behavior.
Linear Elasticity: Equations of Linear Elasticity
Covers the equations of linear elasticity for static problems with small strain, emphasizing uniqueness of solutions and Navier's Equations.
Fracture Mechanics: Crack Growth and Weakest Link
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.