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TMHL19/Advanced material and computational mechanics, 6 ECTS credits
/Avancerad material och beräkningsmekanik, 6hp/

For: M

Detalied information for ongoing course:
Course information
Reading instructions

Computational Task 1
Computational Task 2, bending.k
Computational Task 3, creep_specimen.k
Computational Task 4, tensile_shell.k, tensile_solid.k, Docol600DP_tensile.xlsx, GISSMO
Computational Task 5, cyclic_curve.xlsx, linear_opt.m, linear_fit.m

Introduction to the workshops
Introduction to LSDYNA and LSPrePost from Dynamore
LS-PrePost 4.0, 64-bit

Implicit solution
Explicit solution

Course language:

Multi-variable calculus, Basic Solid Mechanics courses, FEM advanced course, and Continuum Mechanics.

In material mechanics, the interaction is studied between load, deformation and (in extreme cases) failure of solid bodies. The interaction between load and deformation depends on the mechanical properties of the material, which are, in turn, dependent on the fundamental physical constitution of the material. In basic courses in solid mechanics, linearly elastic isotropic materials are studied, while this course in advanced material mechanics aims at the understanding and computational use of materials that are elastically anisotropic, flow plastically or show creep behaviour.
For the corresponding advanced study of failure mechanisms we refer the interested to other courses given by the divisions of Solid Mechanics and Engineering Materials.
After the course the students will be able to:

  • handle multiaxial stress and deformation states and understand how they are represented in Cartesian and polar reference systems,
  • understand and apply elastically anisotropic material properties and understand the principles of the mechanics of composite mechanics,
  • understand time-independent elastoplastic and time-dependent creep material behaviour and perform simple manual elastoplastic analyses in a ‘conceptual-design’ context, and
  • perform elastoplastic and creep analyses in a modern FEM environment and understand the particular computational implications and difficulties inherent in such analyses.

Lectures, teaching classes, FE computation work

Course content

  • Continuum-mechanical basis
  • Elastic anisotropy
  • Basic composite mechanics
  • Plasticity
  • Viscoplasticity/Creep
  • Damage mechanics
  • FE modelling of nonlinear material behaviour

Lecture notes
Le 1: Continuum mechanics
Le 2: Elastic anisotropy
Le 3: Laminate theory
Le 4: Yield criteria
Le 5: Plasticity
Le 6: Stable hardening
Le 7: Isotropic hardening
Le 8: Kinematic hardening
Le 9: Viscoplasticity/Creep
Le 10: Damage mechanics
Le 11: Computational aspects
Le 12: Radial return method
Le 13: Stress update
Old: Algorithmic tangent stiffness

Gudmundson P., Material Mechanics, dept. of Solid Mechanics, KTH, 2006
Gudmundson P., Material Mechanics, exercises with solutions, dept. of Solid Mechanics, KTH, 2006, For the interested

Stouffer D.C., Dame L.T., Inelastic Deformation of Metals - Models, Mechanical Properties and Metallurgy, Wiley, 1996
Ottosen N.S., Ristinmaa M., The mechanics of constitutive modeling, Elsevier Ltd, 2005
Hertzberg R.W., Vinci R.P., Hertzberg J., Deformation and Fracture Mechanics of Engineering Materials, Wiley, 2012


The examination will be by

  • a written examination paper, and
  • reports of the FE computation work assignments

The examination paper will consist of theoretical questions, and will result in grade U (fail) or G (pass).
The written reports of the FE computation work will sum up in grade U,3,4,5 (fail,C,B,A).

Old examination papers
2013-11-01, 2014-01-10, 2014-10-31, 2015-01-10, 2015-10-30, 2016-10-28, 2017-01-07, 2017-10-19

Examiner and teacher
Daniel Leidermark

Page responsible: Bo Torstenfelt
Last updated: 2017-10-19