Finite element method (ILV)

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Course numberB2.06060.40.060
Course codeFiniteE
Curriculum2023
Semester of degree program Semester 4
Mode of delivery Presencecourse
Units per week2,0
ECTS credits2,5
Language of instruction German

The students know
• the basic theoretical background of the finite element method.
They are able to master
• the application to problems of linear statics in the context of continuum and structural mechanics.

B2.06060.12.020 - Mathematical Modeling and Parameterization
B2.00000.00.030 - Science of Strength of Materials 1
B2.06060.30.020 - Numerical methods
B2.00000.10.050 - Informatics 1: Fundamentals and Programming

• frame elements
• Principle of virtual shifts, weak form of equilibrium, approaches to Galerkin and Rayleigh-Ritz
• Discretization approach of the finite element method for 2D and 3D continuum problems
• Linear statics, boundary conditions, reaction forces
• Fundamentals of element technology (numerical integration, locking, distortions, stresses, distortion energy density)
• Plastic material behavior
• structural elements (beams, plates, shells)
• Application examples with ANSYS

J. Wissmann, K.-D. Sarnes: Finite Elemente in der Strukturmechanik. Springer 2006
M. Link: Finite Elemente in der Statik und Dynamik. 3. Aufl., Teubner 2002
Moaveni: Finite Element Analysis, Theory and Application with ANSYS,
Pearson - Prentice Hall 2007