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Solid Mechanics

Faculty of Engineering, LTH

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Finite Element Method

The division of solid mechanics offers a number of basic courses for different engineering programs, as well as a collection of courses on advanced level. The Finite Element Method-course serves as a bridge between them and is a mandatory prerequisite for several of the advanced courses.

The course gives a general approach for solving partial differential equations. Some examples of applications are:

  • Temperature problems
  • Electromagnetics
  • Diffusion
  • Structural analysis
  • Vibrations

Advanced courses

The following courses at advanced level are given by the division of solid mechanics:

Computational Materials Modeling

Finite Element Method - Nonlinear systems

The course covers:

  • Nonlinearities due to large deformations 
  • Different solution algorithms (Explicit, Implicit, Path folloxing, etc.)
  • Dynamic analyses
  • Instabilities, bifurcations, imperfections...

Structural Optimization

The aim of the cours is to, based on given constraints, find an 'optimal' (mass/cost/stiffness) construction. The corse is based on FEM.

The course contains:

  • Mathematical formulation of the structural optimization problem
  • Solution methods for both linear and nonlinear problems
  • Structural optimization:

    • Size optimization
    • Shape optimisation
    • Topology optimisation

Fracture Mechanics

  • Cracks and crack propagaton
  • Fracture mechanical testing
  • Linear and nonlinear fracture mechanics
  • Crack propagation a cyklic loading
  • Stress corrosion

Modern experimental mechanics

The aim of this course is to introduce state-of-the-art techniques and possibilities in experimental mechanics for the characterisation of the mechanics of solid, porous and granular materials using a range of physics techniques and in particular full-field analyses, for example:

  • optical methods (with a focus on digital image correlation for displacement and strain field analyses)
  • x-ray and neutron imaging/scattering approaches (with links to the MAX IV and ESS projects) including tomography, diffraction and small angle scattering
  • ultrasonic methods, including tomography
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