Academic Catalog

ME586 VARIATIONAL PRINCIPLES IN ELASTICITY

Course Code: 5690586
METU Credit (Theoretical-Laboratory hours/week): 3(3-0)
ECTS Credit: 8.0
Department: Mechanical Engineering
Language of Instruction: English
Level of Study: Graduate
Course Coordinator: Prof.Dr. HALUK DARENDELLER
Offered Semester: Fall and Spring Semesters.

Course Content

Cartesian tensors. Review of fundamental equations of elasticity. Basics of calculus of variations. First variation and Euler-Lagrange equations. Virtual work and complementary virtual work principles. Minimum potential energy, complementary energy, modified complementary energy and Hellinger-Reissner principles. Other derived principles. Application to bar, beam and plane stress problems. Introduction to finite element concepts. (S)