MMÜ626 - ADVANCED APPLICATIONS of FINITE ELEMENT METHOD

Course Name Code Semester Theory
(hours/week)
Application
(hours/week)
Credit ECTS
ADVANCED APPLICATIONS of FINITE ELEMENT METHOD MMÜ626 Any Semester/Year 3 0 3 8
PrequisitesNone
Course languageEnglish
Course typeElective 
Mode of DeliveryFace-to-Face 
Learning and teaching strategiesLecture
Discussion
Drill and Practice
 
Instructor (s)Departmental Faculty 
Course objectiveThe aim of this course is to teach students basic subjects used in deriving nonlinear finite element equations and ANSYS software usage for solving nonlinear engineering problems. These subjects include Galerkin method and application of this method to 1D, 2D, 3D partial differential equations and nonlinear heat transfer, nonlinear structural problems like plasticity problems and creep problems. 
Learning outcomes
  1. At the end of the lesson, the students will;
  2. Learn how to derive finite element equations for 1D, 2D and 3D nonlinear heat transfer and nonlinear structural problems,
  3. Be able to use ANSYS for nonlinear heat transfer and nonlinear structural problems,
  4. Be able to apply finite element method to nonlinear real life engineering problems.
Course ContentGalerkin method (1D),
Boundary conditions and interpolating functions,
Galerkin method (2D-3D),
Application of Galerkin Method to nonlinear steady state and transient heat transfer problems,
Principle of Virtual work,
Application of Principle of Virtual work to nonlinear structural problems. 
ReferencesO. C. Zienkiewicz, R. L. Taylos (2000). The Finite Element Method, 5.th edition, The McGraw-Hill Companies, Inc. 

Course outline weekly

WeeksTopics
Week 1Galerkin method in nonlinear 1D partial differential equations.
Week 2Galerkin method in nonlinear 2D partial differential equations.
Week 3Galerkin method in nonlinear 3D partial differential equations.
Week 4Continuity requirements and interpolating functions.
Week 51D elements.
Week 6Higher order 1D elements.
Week 7Element coefficient matrix.
Week 8Midterm exam.
Week 9Finite element method in nonlinear 2D and 3D problems.
Week 10Symmetry conditions.
Week 11Quadrilateral elements.
Week 12Triangular elements.
Week 13Midterm exam.
Week 14Finite element method in nonlinear structural problems and ANSYS application.
Week 15Finite element method in nonlinear steady state and transient heat transfer problems and ANSYS application.
Week 16Final exam.

Assesment methods

Course activitiesNumberPercentage
Attendance00
Laboratory00
Application00
Field activities00
Specific practical training00
Assignments00
Presentation00
Project00
Seminar00
Midterms260
Final exam140
Total100
Percentage of semester activities contributing grade succes260
Percentage of final exam contributing grade succes140
Total100

WORKLOAD AND ECTS CALCULATION

Activities Number Duration (hour) Total Work Load
Course Duration (x14) 14 3 42
Laboratory 0 0 0
Application000
Specific practical training000
Field activities000
Study Hours Out of Class (Preliminary work, reinforcement, ect)1213156
Presentation / Seminar Preparation000
Project000
Homework assignment000
Midterms (Study duration)21020
Final Exam (Study duration) 12020
Total Workload2946238

Matrix Of The Course Learning Outcomes Versus Program Outcomes

D.9. Key Learning OutcomesContrubition level*
12345
1. Obtain advanced level theoretical and applied knowledge by gaining expertise in different areas of Mechanical Engineering.     X
2. Have knowledge, skills and and competence to develop novel approaches in science and technology.    X 
3. Use the tools of the basic and engineering sciences in the solution of complex engineering problems.    X 
4. Contribute to the science and technology literature by publishing results of their academic work.    X 
5. Carry out a comprehensive research study that results in a new scientific method or leads to a technological product/process, that brings innovation to science/technology, or is an application of a known methodology into a new field.   X 
6. Are able to carry out an advanced level research work in his/her field independently.   X 
7. Take the responsibility and develop new strategical approaches for solving unforeseen complicated problems in engineering.    X 
8. Are able to show leadership when faced with problems related to mechanical engineering.      
9. Are aware of the life-long learning philosophy and its opportunities in effective monitoring of current developments in Mechanical Engineering.     
10. Can present his/her ideas and works in written and oral forms effectively; in Turkish or English.     
11. Follows and interprets scientific literature and uses them efficiently for the solution of engineering problems.     
12. Use the information and communication technologies at the advanced level as required by the area of specialization and work.   X  
13. Are aware of his/her social responsibilities, evaluates scientific and technological developments with impartiality and ethical responsibility.      
14. Uses the information which he/she absorbs from his/her field, the problem solving and practical skills in interdiciplinary studies.     

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest