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Lecture
Hyperelasticity: Basic Theory and Applications
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Deformation Analysis: Small Strain and Kinematics
Explores small strain theory, kinematics, and compatibility conditions in solid mechanics.
Laminate Analysis: Stresses and Failures
Covers the analysis of stresses and failures in laminated composites, including the computation of stresses at the ply level.
Von-Mises Plasticity: Yield Criteria and Stress Invariants
Explores the Von-Mises plasticity theory, discussing yield criteria and stress invariants.
Boundary Value Problems in Elasticity
Explores Boundary Value Problems in Elasticity, stress-strain relations, and the use of Green's function in solving elasticity problems.
Symmetric Stress Tensor
Explains principal stresses, spectral decomposition, simple states of stress, and the importance of a symmetric stress tensor.
Shock Waves and Brittle Material Response
Covers shock waves, brittle material response, phase transformation, and Hugoniot relationships in materials under stress.
Composite Laminate Analysis
Covers the Classical Laminate Theory for analyzing stresses in composite laminates.
Kinematics: Deformation and Expansion
Explores kinematics of deformation, focusing on radial and linear expansion, torsion, and rotation by an angle.
Eshelby Method: Modulus Mismatch and Eigenstrains
Discusses stress concentrations, modulus mismatch, and eigenstrains in materials.
Fracture Analysis: Energy and Mechanics
Explores macroscopic energy analysis of fracture, focusing on unstable crack growth and energy mechanics.