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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.
