The course deals with modelling and analysis of non-linear structures and solids. The main emphasis is on the modelling aspect, i.e. the justification and properties of the theory, and the development of the theory in a form suitable for computational analysis. The idea is to present the theory and the corresponding numerical methods as a gradual development, from simple bar and truss systems via finite rotations over beams to non-linear kinematics and material behaviour of solids. Care is taken to explain why as well as how.
Kursusindhold:
· Introduction to non-linearity, exact theory of truss structure and numerical implementation. · Theory of large rotations, and large displacement and co-rotating beam theories. · Finite deformation continuum mechanics and finite deformation elements. · Basic plasticity theory and numerical plasticity algorithms. · Quasi-static and dynamic numerical solution methods.
The theory is supported by a set of MATLAB functions, by which the student will familiarize himself with the numerical implementation when providing his own illustrations of the theory.
Litteratur::
S. Krenk: Non-Linear Modelling and Analysis of Structures and Solids, Cambridge University Press (in preparation).
