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Contents

Overview
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Fundamental Equations and Reductions

Topic 1: Continuum Mechanics
Topic 2: Stress, Strain and Strain Rate
Topic 3: Reduction from 3-D Theory of Elasticity to 1-D Engineering Model
Topic 7: From Navier Stokes Equation to Non-Linear Shallow Water Equations

Stationary Deformation and Flow

Topic 4: Darcy’s Law and Potential Flow Theory
Topic 5: Flow to a Well
Topic 6: Static Deformation of Rod With Elastic Foundation
Assignment 1

Linear Wave Phenomena

Topic 8: Non-Dispersive Waves in Open Channel Flow
Assignment 2
Topic 9: Dispersive Wave Propagation in Foundation Pile Embedded in Soil
Assignment 3

Diffusion Phenomena

Topic 10: Heat Conduction Through Walls

Amplitude Dependant Wave Phenomena

Physics of Traffic Flow
Solving Conservation Laws: Application of First Order Traffic Flow Models
Solving System of Conservation Laws: Applications to Non-Equilibrium Traffic Flow Models and Amplitude Dependant waves in Open Channel
Assignment 5
References

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Topic 2: Stress, Strain and Strain Rate

Topic 2: Stress, Strain and Strain Rate#

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Topic 1: Continuum Mechanics

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Topic 3: Reduction from 3-D Theory of Elasticity to 1-D Engineering Model

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