SHORT COURSE No1
Elasto-Plastic Material Behaviour: Continuum Mechanical Modelling and Finite Element Implementation
Lecturers:
Professor H. Altenbach
Professor A. Öchsner
Part A:
Continuum Mechanical Modelling
Introduction of tensor notation
Material independent laws (balances)
Constitutive behaviour
Top-down modelling
Bottom-up modelling
Rheological modelling
Examples
Elastic behaviour
Plastic behaviour
Elastic-plastic behaviour
Part B:
Finite Element Implementation
Introduction of Voigt (matrix) notation
Summary of Hooke’s law and plastic law
Summary of a linear elastic finite element simulation
Elastic-plastic finite element simulation
Three- and one-dimensional Deshpande-Fleck yield condition
Integration of the constitutive equations (1D)
Mathematical derivation of the fully implicit backward Euler algorithm (1D)
Example Problem: Return mapping for ideal plasticity and linear hardening (1D)
Procedure in the general three-dimensional case
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