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Mechanical Behavior of Materials - ME 4150

Fertig Research Group: Multiscale Failure of Materials via YouTube

Overview

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Learn the fundamental principles of mechanical behavior in materials through this comprehensive course covering stress analysis, strain mechanics, and material failure mechanisms. Master tensor notation and coordinate transformations essential for understanding continuum mechanics, then explore Cauchy stress formulas, principal stresses, stress invariants, and the distinction between hydrostatic and deviatoric stresses. Examine strain definitions and various types of deformation while developing proficiency in linear elastic constitutive behavior through Hooke's Law applications. Investigate atomic-level bonding forces and energies to understand material behavior at the microscale, and analyze material fracture mechanisms including theoretical fracture strength calculations and the critical differences between ductile and brittle fracture modes. Apply theoretical knowledge through practical simulations including Rockwell B hardness testing for 1018 steel, providing hands-on experience with standard materials testing procedures used in engineering practice.

Syllabus

Simulated Rockwell B Hardness Test for 1018 Steel
Vector Notation and Conventions
Tensor Review (Definitions)
Tensor Review (Coordinate Transformation)
Continuum Stresses (Cauchy Stress Formula)
Continuum Stresses (Principal Stresses)
Continuum Stresses (Stress Invariants)
Continuum Stresses (Hydrostatic and Deviatoric Stresses)
Review of Strain: (Definition of Small Strain Tensor)
Review of Strain: Types of Deformation
Linear Elastic Constitutive Behavior: Hooke's Law
Atomic Bonding (Bond Forces and Energies - Part I)
Atomic Bonding (Bond Forces and Energies - Part II)
Material Fracture (Theoretical Fracture Strength)
Material Fracture (Ductile vs. Brittle Fracture)

Taught by

Fertig Research Group: Multiscale Failure of Materials

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