Digital Teaching
Current informations and downloads can be found on Moodle.
Course Contents
[list=1]
[*]fundamentals (stress state, deformation and strain, elasticity, Hooke's law, fundamental equations of linear elasticity
[*]plane problems (plane strain state, plane stress state, Airy's stress function, bipotential equation, methods of complex potentials)
[*]three-dimensional problems (Papkovich-Neuber-Potential, point load on a elastic body, normal force on elastic half space, tangential force on elastic half space)
[*]plates (Kirchhoff's plate theory, solution of plate equation, elastically embedded plate, orthotropic plate, Mindlin's plate theory)
[*]variational and energy principles (energy balance, principle of virtual displacements, principle of virtual forces, extremum principals, Clapeyron's and Betti's theorem, Rayleigh-Ritz and Galerkin method)
[/list]
Literature
W. Becker, D. Gross; Mechanik elastischer Körper und Strukturen; Springer Berlin; ISBN: 3-540-43511-5
Eschenauer, Schnell: Elastizitätstheorie I, B.I. Wissenschaftsverlag
M.E. Gurtin: The linear theory of elasticity in Linear Theories of Elasticity and Thermoelasticity: Linear and Nonlinear Theories of Rods, Plates, and Shells; Springer Berlin
G. A. Holzapfel; Nonlinear Solid Mechanics: A Continuum Approach for Engineering; Wiley; ISBN-10: 0-471-82319-8
R. Kienzler, R. Schröder; Einführung in die Höhere Festigkeitslehre; Springer Berlin; ISBN: 3-540-89324-5
Y. C. Fung, P. Tong; Classical and Computational Solid Mechanics; World Scientific Publishing Company; ISBN-10: 9-810-24124-0
Preconditions
Technische Mechanik I-III
Expected Number of Participants
30
Official Course Description
Continuum mechanics describes the displacement and deformation of bodies under load. In the field of continuum mechanics such bodies are modeled as a continuum, neglecting the microstructure of the material.
Continuum mechanics provides the basis for the solution of a large variety of mechanical problems. Applications can be found in many different areas such as civil engineering, mechanical engineering, and material science.
Online Offerings
Moodle
Current informations and downloads can be found on Moodle.
Course Contents
[list=1]
[*]fundamentals (stress state, deformation and strain, elasticity, Hooke's law, fundamental equations of linear elasticity
[*]plane problems (plane strain state, plane stress state, Airy's stress function, bipotential equation, methods of complex potentials)
[*]three-dimensional problems (Papkovich-Neuber-Potential, point load on a elastic body, normal force on elastic half space, tangential force on elastic half space)
[*]plates (Kirchhoff's plate theory, solution of plate equation, elastically embedded plate, orthotropic plate, Mindlin's plate theory)
[*]variational and energy principles (energy balance, principle of virtual displacements, principle of virtual forces, extremum principals, Clapeyron's and Betti's theorem, Rayleigh-Ritz and Galerkin method)
[/list]
Literature
W. Becker, D. Gross; Mechanik elastischer Körper und Strukturen; Springer Berlin; ISBN: 3-540-43511-5
Eschenauer, Schnell: Elastizitätstheorie I, B.I. Wissenschaftsverlag
M.E. Gurtin: The linear theory of elasticity in Linear Theories of Elasticity and Thermoelasticity: Linear and Nonlinear Theories of Rods, Plates, and Shells; Springer Berlin
G. A. Holzapfel; Nonlinear Solid Mechanics: A Continuum Approach for Engineering; Wiley; ISBN-10: 0-471-82319-8
R. Kienzler, R. Schröder; Einführung in die Höhere Festigkeitslehre; Springer Berlin; ISBN: 3-540-89324-5
Y. C. Fung, P. Tong; Classical and Computational Solid Mechanics; World Scientific Publishing Company; ISBN-10: 9-810-24124-0
Preconditions
Technische Mechanik I-III
Expected Number of Participants
30
Official Course Description
Continuum mechanics describes the displacement and deformation of bodies under load. In the field of continuum mechanics such bodies are modeled as a continuum, neglecting the microstructure of the material.
Continuum mechanics provides the basis for the solution of a large variety of mechanical problems. Applications can be found in many different areas such as civil engineering, mechanical engineering, and material science.
Online Offerings
Moodle
- Lehrende: Matthias Bohnen
- Lehrende: Henning Müller
- Lehrende: Ralf Müller
- Lehrende: Hari Kisan Thammineni
Semester: WT 2023/24