Abstract
The goal of the paper is the numerical study of the original hysteresis computational material models and their application in beam's bending theory. The paper presents the chosen differential material models and approaches based on step by step solution respecting the elastic and plastic conditions. In the centre of authors´ interest is the numerical method study of the plastic zones identification or study of residual stresses distribution in the beam's cross-section. The results obtained from new MATLAB's programs are compared with FEM models in ADINA.
Highlights
Numerical simulation of the construction materials elasticplastic behaviour is an important part of the various scientific works and studies today
A non-linear behaviour of the material does not mean the complete loss of bearing; it leads to the modification of some mechanical properties and to the stress redistribution in the structure caused by the plastic zones formation
Continuous and discontinuous model analysis will be performed on a numerical example and compared with the FEM model in ADINA
Summary
Numerical simulation of the construction materials elasticplastic behaviour is an important part of the various scientific works and studies today. The main goal of the structure state elastic-plastic analysis is to determine the stress, strain and boundaries between the elastic and plastic zone. This is true for the structure exposed to outer forces during the whole loading distribution [7]. Plastic flow theory assumes that the stress and strain state depends on the load history. This leads to the incremental problem solving, i.e. step by step. The method evaluates if these areas have been plasticized This theory simulates the real behaviour in a better way but it is more time consuming [8 and 9]. The theory is currently used very rarely; it is applicable just for the small range of materials, slow and monotonic loading and for simple problems with very small deformation speed [5]
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