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Lecture
Mechanics of Continuous Media: Stress and Strain
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Compatibility of Stress and Strain: Form Expressions
Explores stress and strain compatibility, closed-form expressions, and constant strain components.
Stiffness vs Strength: Deformation and Load
Covers stiffness, strength, strain, stress, and strain measurement in structural mechanics.
Finite Element Method: Linear Statics
Explores the Finite Element Method applied to linear statics of deformable solids.
Normal Stresses: Internal Stress and Strain
Introduces internal stress and strain, material properties, and design considerations for axial loads and direct shear.
Fluid Dynamics: Differential Conservation Laws and Equations
Covers the differential approach to fluid dynamics, focusing on conservation laws and the Cauchy stress tensor.
Equilibrium in Tension: Verification and Compatibility
Covers the verification of equilibrium equations and compatibility in tension scenarios, ensuring uniform stress distribution.
Deformation and Strain Tensors
Explores deformation and strain tensors, Lagrange representation, elasticity theory, and the divergence theorem.
Stress and Strain: Generalization to 3D
Covers stress equilibrium, strain, and the generalization of stress to 3D, introducing Hooke's Law and analyzing structures with axial loads.
Solid Mechanics II + Material Models
Explores material models for elastic objects, including inverse shape optimization and hyperelasticity.
Deformations and Constraints
Covers relative deformations, flexibility matrix, stress relations, and internal forces in structures.