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Numerical modelling of fatigue behavior for anisotropic structures has become critical for design applications. This is particularly true for forged components due to the intrinsic anisotropy of the material resulting from the process. The aim of this study is to relate the microstructure scale to the process scale, i.e. the engineer scale. Anisotropy induced by the forming process and the most relevant feature which results from forging, is the preferential orientation of structural defects and grains in the direction of the deformation. Grain flow is modelled using a fiber vector at the level of the representative elementary volume. It can then be used to improve and refine the Papadopoulos fatigue criterion by taking into account fatigue limits for each direction of anisotropy. In practice, it is very tedious to determine precisely these fatigue limits and impossible to obtain experimentally all of them for each direction of uniaxial loading. To circumvent this difficulty, we simulate the problem at the microstructure scale by considering fiber vector as the result of the inclusion and grain orientation. Microstructures are then precisely modelled using DIGIMICRO software. A representative elementary volume including inclusions is meshed and high cycle fatigue simulation is performed. The results can be used in order to optimize the preform of the component before simulation.
(a) Photograph of two types of laboratory standard microphones and ruler with 1 mm per fine division, (b) sketch showing laboratory standard microphone front cavity and the front cavity depth between the microphone annulus and diaphragm. (Not to scale)
Block diagram of the equipment configuration that forms the coupling cavity used during plane-wave coupler microphone calibrations of laboratory standard microphones showing the relationship between the microphone front cavity depths and the coupling cavity length. (Not to scale)
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