Failure Analysis and Design Handout Topics 1. Introduction a. b. c. d. e. f. g. Damage Tolerant Design Cost of Failure Birth of Fatigue Failures Damage Tolerance implemented Fatigue Design Methods Statistics of Causes of Failure Theories of Failure 2. Fracture a. Theoretical Strength of materials using two parameters: i. ii. b. c. d. e. f. g. Theoretical Cohesive Strength Work of Fracture Size Effect Ductile vs Brittle Fracture and other fracture types Stress concentration and concentrators Modes of Fracture Griffith’s Theory of Brittle Fracture Ductile to Brittle Transition Temperature Curve and factors affecting it 3. Fatigue a. b. c. d. e. f. g. h. i. j. k. l. Cyclic stresses Indications of Fatigue failure Mechanism of Fatigue failure SN curve Basquin equation Construction of SN curve Statistical Nature of Fatigue Factors influencing fatigue properties Reversed stresses: Design for finite and infinite life Infinite life problems Finite life problems Cumulative Damage theory i. ii. iii. Linear damage Theory Miner’s Rule Problems on Miner’s Rule 4. Creep a. b. c. d. e. f. g. h. i. j. k. l. Creep Test & Creep Curve Explanation of various stage of the creep curve Creep curve for different temperatures Creep mechanisms of crystalline materials Dislocation climb Diffusional Creep Graph showing creep mechanisms operating at different conditions Equicohesive temperature Fracture at elevated temperature: Transgranular vs Intergranular Fracture Design considerations to avoid creep Design to cope with creep Strength- Max service temp graph m. n. o. p. q. r. s. t. u. v. Alloys for high temp use Presentation of engineering creep data Example problems on creep High temperature pipework Diffusion phenomena Fick’s law Factors affecting Diffusion Activation energy for steady state creep Larsen Miller Parameter Example problems 5. Elements of Fracture Mechanics a. b. c. d. e. f. g. h. i. j. k. l. m. n. o. p. q. r. s. t. u. v. w. x. Griffith’s theory of brittle fracture Stress Intensity factors Parameters for predicting crack growth and failure Stress based parameter Modern Fracture mechanics Stress and Displacement fields in isotropic elastic materials Stress field at crack tips Understanding the stress field equation Shape factor Region of K dominance Fracture toughness Ductile Fracture Crack propagation in ductile materials Fracture toughness in ductile materials Orowan’s modification Example problem Random gyaan Energy release rate J integral Fracture mechanics applied to fatigue Crack growth in different regions Paris Erdogan relationship Paris law Example problem 6. Failure Analysis Process: An overview a. b. c. d. e. f. g. Objectives in failure analysis Complexity of Investigation Physical causes and time of occurence Pitfalls in failure analysis Factors & Observations table Elements of the failure analyst’s toolbox Practices and Procedures