The Finite Element Method, FEM

Aim

The course aims at giving the student

• an insight into the use of computational techniques in applied mechanics
• an insight into how technical computations are used in the design process
• a basic theoretical understanding of the completely dominating computational method, namely the Finite Element Method/FEM
• the ability to independently solve not too advanced problems by using a well known commercial FE software

give an account of how computations are used in the design process give an account of the theoretical basis of FEM give an account of the inherent structure of an FE program give an account of potential sources of error associated with FE analyses use a well known FE software to solve not too advanced problems give an account of the importance of result evaluation with respect to e.g. material aspects Course content Introduction into the use of computational techniques in applied mechanics Stress analysis of 2-dimensional rod structures/trusses (with the direct stiffness method); applications, basic relations, matrix problem formulation, laboratory work Linear elastic stress analysis of 2- and 3-dimensional solid bodies; applications, basic relations, FE formulation, laboratory work One- and multi-dimensional heat conduction analysis; applications, basic relations, FE formulation, laboratory work Evaluation of results including material-related questions (standing issue in the course) In addition, a given design problem is to be solved by using the knowledge and skills gained in the course. Teaching and working methods Lectures, teaching classes, laboratory work. Examination LAB2Optional laboratory assignment for higher grades0 creditsU, 3, 4, 5LAB1Laboratory work6 creditsU, 3, 4, 5Grades for examination modules are decided in accordance with the assessment criteria presented at the start of the course. Grades Four-grade scale, LiU, U, 3, 4, 5 Other information Supplementary courses: Mechanical vibrations and fatigue About teaching and examination languageThe teaching language is presented in the Overview tab for each course. The examination language relates to the teaching language as follows: If teaching language is “Swedish”, the course as a whole could be given in Swedish, or partly in English. Examination language is Swedish, but parts of the examination can be in English.If teaching language is “English”, the course as a whole is taught in English. Examination language is English.If teaching language is “Swedish/English”, the course as a whole will be taught in English if students without prior knowledge of the Swedish language participate. Examination language is Swedish or English depending on teaching language.OtherThe course is conducted in such a way that there are equal opportunities with regard to sex, transgender identity or expression, ethnicity, religion or other belief, disability, sexual orientation and age.The planning and implementation of a course should correspond to the course syllabus. The course evaluation should therefore be conducted with the course syllabus as a starting point. The course is campus-based at the location specified for the course, unless otherwise stated under “Teaching and working methods”. Please note, in a campus-based course occasional remote sessions could be included. Department Institutionen för ekonomisk och industriell utveckling Course literature Fastställs senare

Content

• Introduction into the use of computational techniques in applied mechanics
• Stress analysis of 2-dimensional rod structures/trusses (with the direct stiffness method); applications, basic relations, matrix problem formulation, laboratory work
• Linear elastic stress analysis of 2- and 3-dimensional solid bodies; applications, basic relations, FE formulation, laboratory work
• One- and multi-dimensional heat conduction analysis; applications, basic relations, FE formulation, laboratory work
• Evaluation of results including material-related questions (standing issue in the course) In addition, a given design problem is to be solved by using the knowledge and skills gained in the course.