Course syllabus

Course-PM

IMS095 Strength of materials, advanced course lp1 HT24 (7.5 hp). The course is offered by the department of Industrial and Materials Science. Detailed course-pm.

Contact details

  • examiner/lecturer: professor Ragnar Larsson
  • teaching assistant: Krisztián Hertelendy and Luis Gulfo

Course purpose

The course advances your knowledge of solid and structural mechanics. Emphasis is placed on the modeling of multiaxial stress and strain states in 2D structures and structural stability. 2D structures considered are elastic plane strain, plane stress, and axisymmetric sheets. In addition, plates and technical shell theories are presented. The necessary skills required to compute limit loads of simplified beam structures and stresses and deformations of various 2D geometries are provided.

 Schedule

Cf. the course-pm.

Course literature

  • COMPUTATIONAL SOLID MECHANICS, Ragnar Larsson, Chalmers University of Technology, Göteborg 2018.
  • A COURSE IN STRUCTURAL MECHANICS, Ragnar Larsson, Chalmers University of Technology, Göteborg 2021

These primers are offered as pdf-files, free of charge under the module ”text books”.

Course design

The course comprises 32 hours of lectures, L1-L16 in the detailed course outline, 34 hours of tutorials, E1-E17, and 14 hours of scheduled computer assignment classes, C1-C7 in the course-pm.

The theoretical and computational basis of the considered solid mechanics is outlined in the lectures. In the tutorials, hands-on examples of stress analysis, limit load analysis etc. are demonstrated. In the computer assignments, example of stress analyses are handled on the theoretical basis.

The CANVAS platform is used for formal interaction between you and the teachers. All formal material and information about the course is available on the CANVAS course homepage. Hence, there will be no other course-pm handed out. In CANVAS, announcements about special events in the course are made. Hence, you are advised to visit the CANVAS-page on a daily basis during the course. In CANVAS the reports for the computer assignments are handed in electronically with due consideration to the deadlines, cf. the detailed course-pm.

Digital tools such as Python, Matlab and COMSOL are used in the course work. For the report writing, MS-Office tools or equivalent software (e.g., latex via overleaf) may be used. 

Changes made since the last occasion

Due to the program-restructure, a new set-up of the course has been made since 2021. The primer A COURSE ON COMPUTATIONAL SOLID MECHANICS has been updated. Two mandatory quizzes are included in the course.

Prerequisites

Before coming to the course you should have basic knowledge in:

  • mechanics and strength of materials. Basic balance laws of Newton. Elasticity. Axial and bending action. Torsion. Yielding and failure.
  • your skills in calculus, linear algebra and numerical methods will be further developed. (Multivariable analysis runs in parallel and will be developed).
  • programming in Python/Matlab. The course further develops your programming skills.

Formally, we expect you to have taken the courses: LMA401 Calculus, MVE580 Linear algebra and differential equations, LMT202 Mechanics, TME255 Strength of materials, LMA017 Mathematical analysis in several variables and LMU120 Applied FEM-analysis, or corresponding knowledge. Due to the restructuring, LMA017 runs in parallel and LMU120 is coming after in Q2.

Learning objectives

After the completion of the course you should be able to:

  • formulate the concepts of multiaxial stress and strain;
  • determine the principal stresses and principal stress directions;
  • formulate and analyze isotropic thermoelasticity;
  • describe and analyze plane stress, plane strain and axisymmetry;
  • formulate the concept of structural stability;
  • solve simplified problems of structural stability;
  • analyze stresses and deformations of 2D solids, plates and simplified shells;
  • explain the stress distribution around concentrated loads;
  • describe and analyze stress concentration factors.

Link to the syllabus on the study portal.

Examination form

The course examination is based on the work done in the computer assignments and the work you have done in the written exam. A detailed description is given in the module "examination" of this CANVAS homepage.