Steel trusses structures are commonly used in civil engineering. Their mechanical parameters, especially the durability, are critical, and often human life depends on it. Therefore it is very important to monitor the critical elements of the truss. For this purpose magnetoelastic method of measurement may be used. It is a method having several advantages over other methods, particularly because of use of elements which are already parts of the structure. The study of structural elements have already been conducted. However, to take advantage of the magnetoelastic characteristics measurement to assess the state of stress, one should have a model of the influence of stress on magnetic properties. The influence of stresses on hysteresis loops was modelled with the extended Jiles-Atherton model. The obtained results of the modelling are consistent with the experimental measurements results. The results of modelling create new possibilities of explanation of the physical phenomena connected with magnetization of the magnetic materials under stresses, which is especially important for the assessment of the state of the constructional steel during its exploitation in industrial conditions.
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