Syllabus:

• basics of continuum mechanics
• general purpose of material laws
• elasticity (isotropy / anisotropy)
• phenomenology of inelastic material behavior (creep / relaxation, plastic deformation, rate-dependence, plastic dilatancy, damage)
• concepts of constitutive modeling (internal variables, yield condition, flow rule, hardening laws, incremental constitutive equations)
• material theories: viscoelasticity, plasticity, viscoplasticity
• applications: metals, geomaterials, concrete, polymers, wood

Aims: Numerous tasks in engineering require a theoretical description of a material's behavior beyond the elastic range. The course focuses on the continuum mechanical description of various kinds of inelastic material behavior. Besides the different phenomena their physical origins are also discussed.

Exam: oral

Audience: students of civil and mechanical engineering, PhD students

Prerequisite: Introduction to continuum mechanics, advanced engineering mathematics

Literature:

• Chen, W.F., Hahn, D.J.: Plasticity for Structural Engineers. Springer, 1988
• de Souza Neto, E.A., Peric, D., Owen, D.R.J.: Computational Methods for Plasticity. Wiley, 2008
• Doghri, I.: Mechanics of Deformable Solids. Springer, 2000
• Khan, A.S., Huang, S.: Continuum Theory of Plasticity. Wiley,1995
• Lemaitre, J., Chaboche, J.L.: Mechanics of Solid Materials. Cambridge Univ. Press, 1990
• Lubliner, J.: Plasticity Theory. Macmillan, 1990; Dover, 2008
• Seelig, Th.: Anwendungsorientierte Materialtheorien. Skript zur Vorlesung