Coupled elasto-plasticity damage constitutive models for concrete

Abstract

Abstract:The paper is to design and construct a coupled elasto-plasticity damage constitutive model for concrete. Based on the energy dissipation principle, the Hsieh-Ting-Chen four-parameter yield function is used. The model can reflect different strength characteristics of concrete in tension and compression, and reduce the limitation and lacuna of the traditional damage constitutive models for concrete. Furthermore, numerical test for concrete stress-strain relation under uniaxial tension and compression is given. Moreover, the damage process of concrete gravity dam is calculated and analyzed in seismic load. Compared with other damage constitutive models, the proposed model contains only one unknown parameter and the other parameters can be found in the Hsieh-Ting-Chen four-parameter yield function. The same damage evolution law, which is used for tension and compression, is good for determining stress-strain constitutive and damage characteristics in complex stress state. This coupled damage constitutive models can be applied in analyzing damage of concrete gravity dam and arch dam.

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Development and application of a statistical constitutive model of damaged rock affected by the load-bearing capacity of damaged elements

“…To simplify the calculation, traditional theories (Lemaitre, 1984;Li et al, 2012;Fu et al, 2013;Xu et al, 2013) assume that micro-scale damaged elements in materials cannot bear stress once they are formed. However, the bearing capacity of damaged elements cannot be ignored because macroscopical deformation has a close relationship with mesodamage, and studies of statistical constitutive damage models must focus on the mesoscopic level.…”

“…Therefore, it is difficult to use the constitutive equation based on that hypothesis to reflect the strain-softening behaviors after material yielding. To overcome the defects of traditional damage theories (Lemaitre, 1984;Li et al, 2012;Fu et al, 2013;Xu et al, 2013), the correction coefficient of residual strength was introduced by some researchers Shi et al, 2011;Wang et al, 2013) to modify the constitutive relation of rock materials and to establish a statistical constitutive model of damage which can reflect the influence of specific confining pressure. Taking the effect of residual strength into consideration, the model is relatively reasonable but fails to analyze the ability of damaged elements to bear stress.…”

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