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Investigation for stress-strain curves of the plastic damage model for concrete

Bakhti Rachid, Benahmed Baizid, Laib Abdelghani

Przegląd Naukowy Inżynieria i Kształtowanie Środowiska

2023

Vol. 32, No. 1

34--52

The Barcelona model is one of the most widespread models used in the nonlinear finite element method for simulating the real behavior of concrete. The strong robustness of this model can be attributed to two main reasons, the first one being its ability to account for the elastic stiffness degradation induced by plastic straining and the second one the aptness of considering the stiffness recovery effects under cyclic loading. This model was examined in the paper by comparing the generated stress–strain diagrams with several analytical solutions from the literature. The comparing process in the compression and tension cases with the closed-form solutions of Desayi, Krätzig, Lubliner and Thorenfeldt proved that the Barcelona model provided identical outcomes with Lubliner’s formula, which was used as the hardening function in the finite element implementation of this model. What is more, this model provided the same curves in case of the others in the ascending branches, and for the descending branch, this study proved that the outcomes of the Barcelona model are completely different from the ones of Desayi in the compression case and slightly similar to Thorenfeldt’s curves in the tension case.

Numeryczna symulacja działania wstrząsu sejsmicznego na budynek murowy z zastosowaniem plastyczno-degradacyjnego modelu materiału

Cincio A., Mrozek M., Mrozek D.

Modelowanie Inżynierskie

2007

T. 2, nr 33

35-42

W artykule przedstawiono symulację działania wstrząsu sejsmicznego, realizowanego jako czasowa analiza dynamiczna (całkowanie równań ruchu), na płaski tarczowy model dwumateriałowej (mur, beton) ściany budynku oraz przestrzenny model budynku niskiego. Zamieszczono wybrane wyniki analiz z zastosowaniem modelu Barcelona (m.in. mapy zniszczenia materiału i mapy rozkładu naprężeń) oraz porównano je z wynikami uzyskanymi z zastosowaniem liniowosprężystego modelu materiału.

A task of modelling of building structures subjected to cyclic and dynamic loads belongs to complex numerical problems, especially when plasticity and brittle behaviour is taken into account in the computers analysis. In the paper a concrete model, based on the theory of incremental elastoplasticity and mechanics of continuum damage, was proposed by Lubliner at. al. in 1989 and modified by Lee. The model was applied to the dynamic response analysis (THA) of a wall structure and a building structure for two material models of masonry: linearelastic and inelastic - damage one.