An introduction to concepts for the constitutive modelling of highly deformable materials with non-linear properties is given in application to rubber-like materials and soft biological tissues. Related experimental methods for materials characterization and computational methods for simulation are also briefly addressed.
Lernziel
After successful completion of the course students are able to • name important examples of the wide range of non-linear mechanical behaviours displayed by soft materials and tissues. • describe typical experimental set-ups for characterization soft materials and to critically interpret the corresponding experimental data. • explain basic physical concepts to relate the structure and mechanical properties of rubber-like materials and soft biological tissues. • discuss and safely apply mathematical concepts for modelling these materials. • explain, select and define suitable material models for rubber-like materials and soft biological tissues. • evaluate the response predicted by constitutive models in simple load cases.
Inhalt
Soft solids: rubber-like materials, gels, soft biological tissues Non-linear continuum mechanics: kinematics, stress, balance laws Mechanical characterization: experiments and their interpretation Constitutive modeling: basic principles Large strain elasticity: hyperelastic materials Rubber-elasticity: statistical vs. phenomenological models Biomechanics of soft tissues: composites, anisotropy, heterogeneity Dissipative behavior: examples and the concept of internal variables.
Skript
Accompanying learning materials will be provided or made available for download during the course.
Literatur
Recommended text: G.A. Holzapfel, Nonlinear Solid Mechanics - A continuum approach for engineering, 2000 L.R.G. Treloar, The physics of rubber elasticity, 3rd ed., 2005 P. Haupt, Continuum Mechanics and Theory of Materials, 2nd ed., 2002
Voraussetzungen / Besonderes
Basic knowledge in continuum mechanics is recommended.
Kompetenzen
Fachspezifische Kompetenzen
Konzepte und Theorien
geprüft
Methodenspezifische Kompetenzen
Analytische Kompetenzen
geprüft
Problemlösung
geprüft
Persönliche Kompetenzen
Kreatives Denken
gefördert
Kritisches Denken
geprüft
Leistungskontrolle
Information zur Leistungskontrolle (gültig bis die Lerneinheit neu gelesen wird)