The students are to be given an insight into procedures for simulating an elastic-plastic
deformation process and optimising geometries. Furthermore they will be introduced to the
requirements of the safe- life and/or fail-safe criteria required in particular for simulating
and testing space structures for the aeronautical, aircraft and automobile industries.
The course will focus on the fact that high-strength materials such as light constructions
(made of composites or titanium alloy) are resistant to stress, but highly sensitive in respect
of stress singularities. The students will also be shown how damage prevention requires
additional simulation of crack growth to eliminate the risk of cracks, which can cause serious
damage to a structure, and will learn to use a variety of softwares to simulate non-linear
geometric, material and deformation behaviour. The student will then be able to apply
supplementary post processors to accomplish simulation of instability and steady-state crack
growth, including crack deflection, under the influence of shear stresses.
Theory
the behavior of non-linear and anisotropic materials (such as carbon- or glass- fibre)
contact problems between different elastic-plastic bodies
growth laws of biological structures
shape optimisation by the theorem of constant stresses
stress singularity at a crack tip
unstable and stable crack propagation
Solution strategies
Idealisation of mechanical structures
Idealisation of different types of materials
Incremental linearisation of a non-linear deformation process
Incremental and iterative solution strategies
method of virtual displacement to calculate a stress intensity
simulation of an unstable and a steady-state crack extension process
Application examples
deforming a hinge out of a straight beam
pressing a car axle out of flat sheet metal
simulation of an unstable and a stable crack growth in a CT-Specimen
comparison between a simulated and an experimental crack growth in a hydro-pulse machine
simulation of a crack deflection due to shear stress influence
critical crack extension in an EPS- stage propellant tank of the ARIANE 5
optimisation of a rotor blade of a steam turbine in respect to shape and eigenfrequency
The course will focus on the fact that high-strength materials such as light constructions
(made of composites or titanium alloy) are resistant to stress, but highly sensitive in respect
of stress singularities. The students will also be shown how damage prevention requires
additional simulation of crack growth to eliminate the risk of cracks, which can cause serious
damage to a structure, and will learn to use a variety of softwares to simulate non-linear
geometric, material and deformation behaviour. The student will then be able to apply
supplementary post processors to accomplish simulation of instability and steady-state crack
growth, including crack deflection, under the influence of shear stresses.
Computational Signal Processing
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