Recommended semester: 7th - 9th semester |
Scope and form: Lectures and exercises |
Evaluation: Oral presentation and approval of reports
Each part counts 50% |
Examination: 13-scale |
Prerequisites: Basic understanding of stresses and strains in two and three dimensions and some experience in programming (70102 / 41502.70212 / 41515). |
Preferred prerequisites: other courses in solid mechanics, e.g. 70205 / 41512. |
Aim: To teach the student to program and use the Finite Element Method (FEM) for solution of mechanical problems. With emphasis on solution of nonlinear problems the student will obtain a basic understanding for energy methods in addition to incremental and iterative methods with applications in relation to topology optimization. |
Contents: Virtual Work Principle and energy principles that follow from this. The Finite Element Method. Isoparametric elements and numerical integration. Large systems of equations. Explicit and implicit methods of solution. Newton-Raphson iteration. Reversible material nonlinearities and contact problems. Optimal design with mathematical programming. Final project depending on prerequisites. |
Contact: Ole Sigmund, building 404, (+45) 4525 4256, sigmund@mek.dtu.dk Pauli Pedersen, building 404, (+45) 4525 4270, pp@mek.dtu.dk |
Department: 041 Department of Mechanical Engineering |
Keywords: The Finite Element Method, numerical solutions, programming, material nonlinearity, optimal design |
Updated: 07-05-2001 |