Abstract
A homogenisation technique is applied to investigate the behaviour of a one-dimensional bar exhibiting tensile strain localisation. For this, an idealised bar containing an inclusion of a strain softening material is first considered and an explicit analytical solution is derived. It is shown that by applying the homogenisation technique, the localised deformation mode of the bar is independent of the dimensions of the zone of homogenisation. Finally, this method is applied to a concrete bar having a double notch and the numerical result is compared with the experimental data available.
Résumé
Une technique d’homogénéisation est appliquée pour étudier le comportement d’une barre unidimensionnelle démontrant une localisation de contrainte de traction. Pour ce faire, une barre idéale contenant une inclusion d’un matériau de radoucissement est d’abord considérée et une solution analytique explicite est dérivée. Il est démontré que, par l’application de la technique d’homogénéisation, le mode de déformation localisée de la barre est indépendant des dimensions de la zone d’homogénéisation. Enfin, la méthode est appliquée à une barre en béton comportant une double entaille et le résultat numérique est comparé avec les données expérimentales disponibles.
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Editorial note Prof. G. Pande is a RILEM Senior Member and Chairman of TC MMM on Computer Modelling of Mechanical behaviours of Masonry structures.
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Lee, J.S., Pande, G.N. Application of a homogenisation technique to a one-dimensional bar exhibiting strain-softening behaviour. Mat. Struct. 30, 506–510 (1997). https://doi.org/10.1007/BF02524779
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DOI: https://doi.org/10.1007/BF02524779