Code | Completion | Credits | Range |
---|---|---|---|
W11T003 | ZK |
- Course guarantor:
- Lecturer:
- Tutor:
- Supervisor:
- Department of Mechanics, Biomechanics and Mechatronics
- Synopsis:
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(1) Vector space, mapping, continuity, geometric space
(2) Tensors and operations on them
(3) Kinematics of the continuum as a mapping, deformation gradient
(4) Strain tensors and their rates
(5) Stress tensors, their rates and objectivity
(6) Hookean materials, Cauchy's elasticity
(7) Balance of mechanical quantities and energy
(8) Mechanical behaviour of polymers and soft tissues
(9) Hyperelasticity, Green's elasticity
(10) Damage function and Mullins effect
(11) Viscoelasticity and constitutive formulation involving strain rate
(12) Selected boundary-value problems of nonlinear elasticity
(13) Problems leading to loss of elastic stability
- Requirements:
- Syllabus of lectures:
- Syllabus of tutorials:
- Study Objective:
- Study materials:
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Holzapfel G.A. (2000) Nonlinear solid mechanics: A continuum approach for engineering. John Wiley and Sons, Chichester.
Itskov M. (2009) Tensor algebra and tensor analysis for engineers: With applications to continuum mechanics. Springer-Verlag, Berlin, second edition.
Saccomandi G., Ogden R.W. (2004) Mechanics and thermomechanics of rubberlike solids, CISM courses and lectures vol. 452. Springer-Verlag, Wien.
Ogden R.W. (1997) Non-linear elastic deformations. Dover Publications, Mineola.
Taber L.A. (2002) Nonlinear theory of elasticity: Applications to biomechanics. World Scientific, New Jersey.
- Note:
- Further information:
- No time-table has been prepared for this course
- The course is a part of the following study plans: