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TMHL55/Mechanics of Materials, 6 ECTS credits/Materialmekanik, 6hp/

For: M4


Detailed information
Detailed Information TMHL55 lp1 2010
How to write a report (in Swedish)

Multi-variable calculus, Solid Mechanics including plate- and shell theory and FEM 

The course is to give the student a comprehensive knowledge of the theory of plasticity and its numerical treatment (FEM), and the ability to independently apply this knowledge on concrete problems. At the end of the course the student shall be able to

  • give an account of basic aspects of the classical plasticity- and creep theories
  • give an account of the numerical treatment of plasticity problems by FEM
  • formulate and analytically solve problems regarding the stress- and deformation states in bodies and structures undergoing plastic flow or creep
  • identify unrealistic results
  • use FEM to solve plasticity problems

Lectures, teaching classes and laboratory work

Course contents
Continuum-mechanical background, elastic anisotropy, plastic yield criteria, perfect plasticity, linear isotropic hardening, linear kinematic hardening, elements of large deformation plasticity, creep, numerical solution of plasticity and creep problems, viscoelasticity and damage. 

See Detailed Information TMHL55 lp1 2010

Written exam
Laboratory work

Lecture notes
will be available (with some delay)  on this website
ELASTCITY: Anisotropy
PLASTICITY: Yield_criteria
PLASTICITY: Flow rules: general
PLASTICITY: Flow rule: perfect plasticity
PLASTICITY: Flow rule for a stable hardening material
PLASTICITY: Flow rule for isotropic hardening
PLASTICITY: Flow rule for kinematic hardening
PLASTICITY: Computational aspects; continuum tangent stiffness
PLASTICITY: Radial return
PLASTICITY: Algorithmic tangent stiffness
PLASTICITY: Finite deformation

Example problems
Some extra example problems will be available here
Plasticity; isotropic hardening
Plasticity; kinematic hardening
Damage mechanics

Solutions, example problems
Some example problem solutions will be available here
Exercises with solutions: 2.4

Equation summary document
An equation summary document for use at the examination is under development. See equation summary. The document will be updated to finally include all the main sections of the course.

Mini manual of tensor 'shorthand
This document is a short manual of shorthand tensor notations and use.

Laboratory work

Link to instructions for the laboratory work

A number of examination papers with solutions have been uploaded on www.solid.iei.liu.se/Examinations. These examination papers are from earlier years, when the course was more concentrated on plasticity, and such topics as elastic anisotropy, viscoelasticity and damage were not teached. This year's examination papers will, therefore, probably deviate in contents (but not in general difficulty) from the examination papers uploaded.
Sum of points will be 16. The distribution between part I ('theory', without helping facilities) and part II ('application/ calculation, with helping facilities) will be 4-7 points I / 9-12 points II. 6 points => pass, grade 3; 9 points => pass, grade 4; 12 points => pass, grade 5.
The examination paper will be in English only but can be answered in English or Swedish.


Sören Sjöström, tel. 013 28 11 18, 070 635 75 66

Page responsible: Bo Torstenfelt
Last updated: 2010-10-11