Creep damage model considering unilateral effect based on bimodulus theory

Abstract

Based on the continuous damage mechanics (CDM) theory, Ambartsumyan bimodulus theory and creep damage theory, a bimodulus creep damage constitutive model is proposed in this paper. The model is able to describe the damage-induced unilateral behaviour related to the microdefect closure effect. The unilateral behaviour is considered a special bimodulus property. By judging the tension or compression state in bimodulus theory, different elasticity properties matrixes are selected according to signs of principal stresses. Then, an elasticity properties matrix is linearly converted to a general stress space. The model effectively solves the difficulty of determining tension or compression in complex stress states when the unilateral effect of damage is considered in the analysis of actual structures. The tangent elasticity matrix is used to improve the convergence of the proposed algorithm. In this study, a numerical simulation of the proposed model is achieved by writing subroutines in the FORTRAN language. A numerical example of a hole-in-plate structure under uniaxial stress is analysed. By comparing the results with those obtained by the traditional model, which does not consider the unilateral effect of damage, it is demonstrated that the proposed model is capable of describing the damage-induced unilateral behaviour related to microcracked closure effects. The numerical example validates the effectiveness and realizability of the proposed model.

Compressive and Tensile Elastic Properties of Concrete: Empirical Factors in Span Reinforced Structures Design

“…The empirical results of this research point the concrete's bimodularity properties. These results could be used to develop the elastic bimodulus creep damage constitutive model proposed in [28]. Classical elasticity theory assumes that materials have the same elastic properties in tension and compression.…”

“…The continuous damage mechanics theory proposes an elastic bimodulus creep damage constitutive model is proposed in [28] based on the continuous damage mechanics theory. Ambartsumyan bimodulus theory was used [29].…”

Theory and methods of constructing equations for the evolutionary damageability of materials

“…For fatigue, the effect of cycle asymmetry is taken into account. At subsequent levels, the regularities are generalized to nonisothermal loading, three-dimensional stress state, anisotropy, bimodularity (Abdul-Latif, 2021;Betten, 2008;Ferreira et al, 2022;Gorash, 2014;Guo et al, 2021;Kachanov, 1986;Krajcinovic, 1996;Lemaitre and Chaboche, 1990;Mattiello and Desmorat, 2021;Meyers and Chawla, 2009;Murakami, 2012;Naumenko and Altenbach, 2016;Rabotnov, 1969;Sattar et al, 2022), etc. At each of these levels, 1) the accumulation of experimental data and 2) the construction of mathematical models adequate to them takes place.…”

Mechanical behavior and failure mechanisms of cylindrical and prismatic rock specimens under various confining stresses

“…Many results have been obtained from cylindrical specimens subjected to uniaxial and conventional triaxial compression (CTC, σ 1 > σ 2 = σ 3 ) tests. These results include complete stress–strain curves of rock obtained using a high-stiffness servo-controlled apparatus (Alejano et al., 2017; Guo et al., 2021; Hudson et al., 1972; Liu et al., 2019; Wawersik and Brace, 1971; Zhang et al., 2021). Macroscale tensile–shear failure modes based on failed specimens have been analyzed (Jiang et al., 2016; Li et al., 2020; Medhurst and Brown, 1998), and the microfailure mechanisms have been explored using scanning electron microscopy (SEM) (Fredrich et al., 1989; Nicolas et al., 2016; Sahouryeh et al., 2002) and optical microscopy (Rodriguez et al., 2016; Shimada and Cho, 1990).…”