This course describes, besides the physical and mathematical background of the finite element method, special discretization techniques and algorithms which have to be applied for nonlinear problems of solid mechanics.
The course will describe the theory and computer implementation of nonlinear finite element method. The implementation will be carried out on simple heat transfer and solid mechanics problems.
The focus is on geometric nonlinearities; however some material nonlinearity will also be discussed. Both static and transient (time-dependent) problems will be studied.
The main textbook of the course is the book “An Introduction to nonlinear finite element analysis” by J.N. Reddy. The book is suitable as a text book for a first course as nonlinear finite elements in mechanical, civil, aerospace engineering departments.
- Finite Element I
- Continuum Mechanics