Course detail

Advanced Modelling and Simulation in Computational Mechanics

FSI-RKI-AAcad. year: 2027/2028

The curriculum builds on courses, which dealt with linear and non-linear material behaviour and respective algorithms that are used for solving the corresponding problems within finite element method. This course focuses on the advanced material models and their detailed formulations, preparing students to use realistic material description when assessing the limit states of structures. Practical part focuses on Abaqus software, which is widely used in industry for analyses of structural behaviour.

Language of instruction

English

Number of ECTS credits

6

Assignment to study programme types

Master's

Mode of study

Not applicable.

Guarantor

doc. Ing. František Šebek, Ph.D.

Department

Institute of Solid Mechanics, Mechatronics and Biomechanics (ÚMTMB)

Offered to foreign students

Of all faculties

Entry knowledge

Students should be familiar with linear algebra, functions of one or more variables, integral and differential calculus, finite element method, statics, strength of materials and dynamics.

Rules for evaluation and completion of the course

Conditions for granting the course-unit credit: attendance, active participation in excercises, submission and presentation of a semester project. Unexcused absence is grounds for withholding the course-unit credit. An excused absence is compensated for by completing the assigned problems.

The final grade is determined by a written examination. It is necessary to obtain 50 points at least, while it is possible to award 100 at maximum. The test format, types of problems and questions and other details will be communicated in person during the semester.

Aims

The course aims to provide a comprehensive overview of constitutive equations, their mathematical formulation and their application to advanced analyses within solid mechanics. Students will gain the practical knowledge needed to perform complex stress-strain analyses and will learn to independently work with the Abaqus system in solving engineering problems arising in industrial practice.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

DUNNE, F.; PETRINIC, N. Introduction to Computational Plasticity. Oxford: Oxford University Press, 2005. ISBN 978-0-19-856826-1.
NIELSEN, Ch. V.; MARTINS, P. A. F. Metal Forming: Formability, Simulation, and Tool Design. London: Academic Press, 2021. ISBN 978-0-323-85255-5.
ANANDARAJAH, A. Computational Methods in Elasticity and Plasticity: Solids and Porous Media. New York: Springer Science+Business Media, 2010. ISBN 978-1-4419-6378-9.
BANABIC, D. Sheet Metal Forming Processes: Constitutive Modelling and Numerical Simulation. Berlin: Springer-Verlag, 2010. ISBN 978-3-540-88112-4.
BOWER, A. F. Applied Mechanics of Solids. 2nd Ed. Boca Raton: CRC Press, 2025. ISBN 978-1-041-01995-4.
HIERMAIER, S. J. Structures Under Crash and Impact: Continuum Mechanics, Discretization and Experimental Characterization. New York: Springer Science+Business Media, 2008. ISBN 978-0-387-73862-8.
HOLZAPFEL, G. A. Nonlinear Solid Mechanics: A Continuum Approach for Engineering. Chichester: John Wiley & Sons, 2000. ISBN 978-0-471-82319-3.

Recommended reading

BRDIČKA, M.; SAMEK, L.; SOPKO, B. Mechanika kontinua. Vyd. 4., rev. a upr. Praha: Academia, 2011. ISBN 978-80-200-2039-0.
NĚMEC, I.; TRCALA, M.; REK, V. Nelineární mechanika. Brno: Vysoké učení technické v Brně - Nakladatelství VUTIUM, 2018. ISBN 978-80-214-5519-1.
MACUR, M. Úvod do analytické mechaniky a mechaniky kontinua. Brno: Vysoké učení technické v Brně - Nakladatelství VUTIUM, 2010. ISBN 978-80-214-3944-3.

Classification of course in study plans

  • Programme N-ENG-Z Master's 1 year of study, winter semester, recommended course

  • Programme N-IMB-P Master's

    specialization IME , 2 year of study, winter semester, compulsory

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

doc. Ing. František Šebek, Ph.D.

Syllabus

Definition of strain and stress tensors and the quantities describing their states.

Anisotropic elasticity.

Isotropic and anisotropic hyperelasticity.

Viscoelasticity.

Stress-strain curve, its extrapolation and approximation and types of hardening.

Advanced yield criteria, isotropic hardening and flow rule.

Anisotropic plasticity.

Ductile fracture criteria.

Viscoplasticity and creep under monotonic loading.

Cyclic plasticity, kinematic and combined hardening and ratcheting under cyclic loading.

Other advanced material models in solid mechanics.

Computer-assisted exercise

13 hours, compulsory

Teacher / Lecturer

doc. Ing. František Šebek, Ph.D.

Syllabus

Introduction to Abaqus software and assignment of semester projects.

Orthotropic elasticity.

Isotropic hyperelasticity.

Viscoelasticity.

Stress-strain curve, its extrapolation and approximation and types of hardening.

Advanced yield criteria, isotropic hardening and flow rule.

Orthotropic plasticity.

Ductile fracture criteria.

Viscoplasticity and creep under monotonic loading.

Cyclic plasticity, kinematic and combined hardening and ratcheting under cyclic loading.

Work on semester projects.

Presentation of the semester projects.