TBM4241 - Numerical and Analytical Methods in Geotechnics


Examination arrangement

Examination arrangement: School exam
Grade: Letter grades

Evaluation Weighting Duration Grade deviation Examination aids
School exam 100/100 4 hours A

Course content

The course focuses on application of the finite element method to solve problems in geotechnics / porous media deformations - flow (of water) and connected problems (consolidation). The course provides an introduction on how to find analytical solutions for failure capacity from plasticity theory (plastic stress fields, basic elements and combinations of these). The course provides the basis for describing material behavior with elasticity and elastoplasticity as a framework (Tresca, Coulomb, CamClay).

Learning outcome


The candidate must have knowledge of:

  • Soil strength expressed by total and effective stresses
  • Stress fields based on the plasticity theory
  • Constitutive relations for soil behavior (stiffness and conductivity)
  • Key finite element method concepts applied to porous media (soil)
  • Deformation of soil.
  • Flow in soil, including coupled problems


The candidate can:

  • Calculate the capacity of simple problem based on plasticity theory
  • Use Python to implement a solution for simple problems with the finite element method
  • Use analytical solutions to check well-defined numerical analyzes

General competence:

The candidate can:

  • The basis of the finite element method for multiphysics problems for porous media (soil)
  • The calculation process in finite element calculations

Learning methods and activities

Lectures, assignments with supervision.

Compulsory assignments

  • Exercises

Further on evaluation

If there is a re-sit examination, the examination form may be changed from written to oral.

Mandatory assignments must be approved to get access to exam.

Required previous knowledge

TMA4125/TMA4130 Mathematics 4N and TKT4132 Mechanics 3 or equivalent.

Course materials

Lecture notes provided by the geotechnical group at NTNU.

More on the course



Version: 1
Credits:  7.5 SP
Study level: Third-year courses, level III


Term no.: 1
Teaching semester:  SPRING 2024

Language of instruction: English

Location: Trondheim

Subject area(s)
  • Geotechnical Engineering
Contact information
Course coordinator: Lecturer(s):

Department with academic responsibility
Department of Civil and Environmental Engineering


Examination arrangement: School exam

Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
Spring ORD School exam 100/100 A INSPERA
Room Building Number of candidates
Summer UTS School exam 100/100 A INSPERA
Room Building Number of candidates
  • * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

More on examinations at NTNU