FINITE ELEMENT ANALYSIS OF CRACK PROPAGATION IN LARGE SIZE PIPE BENDS WITH EMBEDDED CRACKS A DISSERTATION Submitted in partial fulfillment of the requirunants for the award of the degree of MASTER OF TECHNOLOGY in MECHANICAL ENGINEERING (With Specialization in Machine Design Engineering) By NITESH SHARMA I C~1aSy$ • • f.. A` 4 ;oosf tt DEPARTMENT OF MECHANICAL AND INDUSTRIAL ENGINEERING INDIAN INSTITUTE OF TECHNOLOGY ROORKEE ROORKEE-247 667 (INDIA) JULY, 2006