The purpose of the course is to present the participants with a general overview and an introduction to recent advances and modern techniques for analysis and gradient based design optimization of advanced laminated composite structures. 
The following topics will be treated:

  • Laminae and laminates: fiber and resin materials, modelling of the laminae, classical lamination theory (CLT), shear-deformation plate theories
  • Fracture and failure of composite materials including fatigue – focus on failure criteria and their use
  • Finite element analysis of laminated composite structures with focus on shell and solid shell formulations
  • Introduction to basic concepts of gradient based structural optimization
  • Parameterization choices for laminated composites (continuous fiber angles and thicknesses, lamination parameters, Discrete Material Optimization (DMO), Discrete Material and Thickness Optimization (DMTO), etc.)
  • Efficient methods of Design Sensitivity Analysis for gradient based structural optimization
  • Inclusion of manufacturing constraints
  • Gradient based design optimization of laminated composite structures for linear and nonlinear problems including buckling problems

Participants are expected to have a basic knowledge in mechanics of solids corresponding to undergraduate level (Mechanical, Aero, Civil or Ship/Maritime engineering). The course is aimed specifically at Ph.D. students, but the course is also recommended for industrial engineers and engineering scientists. University staff and final year M.Sc. students are welcome as well. University staff, M.Sc. students and participants from industry may be exempted from the homework assignments and the course evaluation/examination. Course assignments are based on Matlab scripts, and it is expected that participants have Matlab installed. The public domain code Octave can also be used (

Accommodation – Hotels
Aalborg offers a variety of accommodations, however, it is strongly advised to book hotel in time for low cost accommodation. An overview over the city and the accommodations can be found at The organizers will recommend one hotel that is conveniently located and with low prices:

Cabinn Hotel Aalborg ( Fjordgade 20, DK-9000 Aalborg
Hotel CABINN Aalborg is the newest hotel in the city and opened in October 2009. The hotel is located in the centre of Aalborg. Prices from DKK 499.

Even cheaper accomodation is possible at the Aalborg Hostel, see

Organizer: Professor Erik Lund,

Erik Lund, Johnny Jakobsen and Esben Lindgaard, Department of Materials and Production, Aalborg University


Time: 2-6 May 2022

Place: Department of Materials and Production, Aalborg University, Pontoppidanstræde 105, room 3.115, DK-9220 Aalborg, Denmark

Number of seats:

Deadline: 11 April 2022

Important information concerning PhD courses:
We have over some time experienced problems with no-show for both project and general courses. It has now reached a point where we are forced to take action. Therefore, the Doctoral School has decided to introduce a no-show fee of DKK 3.000 for each course where the student does not show up. Cancellations are accepted no later than 2 weeks before start of the course. Registered illness is of course an acceptable reason for not showing up on those days. Furthermore, all courses open for registration approximately four months before start. This can hopefully also provide new students a chance to register for courses during the year. We look forward to your registrations.