
Explore theories of failure and design for fatigue to create durable machine parts, grounded in mechanics of materials, including fatigue, fracture mechanics, crack propagation, endurance strength, and failure criteria.
Define mechanical failure as loss of function due to distortion, cracking, or rupture, and explore how material properties and tensile tests drive brittle, ductile, and mixed failures for design.
Apply the maximum shear stress criterion to assess failure under 2D and 3D stress by comparing (sigma1 minus sigma3)/2 to the material yield strength.
Derive strain energy density by dividing energy by volume to obtain a stress–strain form, then show u = sigma1 epsilon1 / 2 in the linear elastic region.
Explains a modification of the Mohr–Coulomb theory of failure by using tangents to three circles to model compression, tension, and mixed states of stress, and derives the yield criterion.
Fatigue failure arises from repeated or fluctuating stresses, with maximum stresses below yield, showing micro-level crack initiation and propagation at stress concentrators.
Fracture toughness measures a material's resistance to crack propagation from internal flaws under structural, cyclical, and impact loading, influenced by a geometry factor and the plastic zone in ductile materials.
Apply the surface modification factor to adjust endurance strength for different surface finishes. For machine-finished steel with Sut 440 MPa, K ≈ 0.89 reduces endurance strength by about 11 percent.
Explore the temperature factor KDE as the modifying factor for endurance strength, showing how operating temperature influences brittleness, creep, and crack propagation compared with room temperature.
Machine design is the practice of designing structural elements of a product to meet functional and durability criteria .
Failure prevention is a big part of study for Machine design . This course deals with the various theories of failure in Static and dynamic (cyclic) loading conditions.
Basics of Principal stress from mechanics of materials
Importance of principal stress
What are Theories of failure? the most simplest form
Maximum Shear stress Theory - How it is derived , the analysis and cases
Maximum distortion Energy theory - the most widely used theory of failure for ductile materials
The derivation from concept of strain energy
Definition of Von mises stress
Mohr theory - Theory for materials with different tensile and compressive strengths
Coulomb- Mohr theory
Brittle Failure theory
Selection of Failure theory
What is Fatigue loading? fatigue failure?
Fracture mechanics basics
What is fracture toughness property
Factors to be considered
The S-N curve and RR Moore test to develop S-N curve
Endurance strength and Endurance limit
The Endurance limit modifying factors
Surface, Size, temperature, loading
Stress concentration factor
Characterization of cyclical loading
Definition of failure criteria in Fatigue
The course is designed to be compact and to the point highlighting the most important concepts and the Why ? behind it.
This is an advanced level course suitable if you are already familiar with strength of materials or mechanics of materials and basics of mechanical engineering .