By Jacek Tejchman, Jerzy Bobiński
The publication analyzes a quasi-static fracture strategy in concrete and strengthened concrete by way of constitutive versions formulated inside continuum mechanics. a continuing and discontinuous modelling process was once used. utilizing a continuing process, numerical analyses have been played utilizing a finite aspect technique and 4 diversified more suitable continuum versions: isotropic elasto-plastic, isotropic harm and anisotropic smeared crack one. The versions have been outfitted with a attribute size of micro-structure by way of a non-local and a second-gradient idea. in order that they may correctly describe the formation of localized zones with a definite thickness and spacing and a similar deterministic measurement influence. utilizing a discontinuous FE method, numerical result of cracks utilizing a cohesive crack version and XFEM have been offered which have been additionally correctly regularized. Finite aspect analyses have been played with concrete parts below monotonic uniaxial compression, uniaxial rigidity, bending and shear-extension. Concrete beams less than cyclic loading have been additionally simulated utilizing a coupled elasto-plastic-damage method. Numerical simulations have been played at macro- and meso-level of concrete. A stochastic and deterministic dimension impact used to be conscientiously investigated. in terms of bolstered concrete specimens, FE calculations have been conducted with bars, narrow and brief beams, columns, corbels and tanks. Tensile and shear failure mechanisms have been studied. Numerical effects have been in comparison with effects from corresponding personal and identified within the clinical literature laboratory and full-scale tests.
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Additional resources for Continuous and Discontinuous Modelling of Fracture in Concrete Using FEM
1998, Huerta et al. 2003, Jirásek 2004a) or more complex - anistropic (Zhou et al. 2002, Krajcinovic and Fonseka 1981, Kuhl and Ramm 2000). The damage variable defined as the ratio between the damage area and the overall material area can be chosen as a scalar, several scalars, a second order tensor, a fourth order tensor and an eight order tensor. A simple isotropic damage continuum model describes the material degradation with the aid of only a single scalar damage parameter D growing monotonically from zero (undamaged material) to one (completely damaged material).
In the case of monotonic loading, isotropic elasto-plastic, isotropic damage and smeared crack model, and in the case of cyclic loading elasto-plastic-damage models are described. An integral-type non-local and a second gradient approaches to model strain localization are introduced. In addition, bond-slip laws are presented. : within non-linear elasticity (Palaniswamy and Shah 1974), linear fracture mechanics (Bažant and Cedolin 1979, Hilleborg 1985), endochronic theory (Bažant and Bhat 1976, Bažant and Shieh 1978), micro-plane theory (Bažant and Ožbolt 1990, Jirásek 1999), plasticity (Willam and Warnke 1975, Ottosen 1977, Hsieh et al.
3 Equivalent strain definition in principal strain space (dashed lines represent uniaxial stress paths) (Peerlings et al. 1998) 58 3 Continuous Approach to Concrete a) b) Fig. 4 Damage model: a) damage variable as a function of κ, b) homogeneous stressstrain behaviour during uniaxial tension (E –modulus of elasticity) (Peerlings et al. 1998) The concrete strain rate is assumed to be related to some stress rate • con • con σ ij = Cijkl ε kl . 42) It may take into account elastic and plastic stress rates.
Continuous and Discontinuous Modelling of Fracture in Concrete Using FEM by Jacek Tejchman, Jerzy Bobiński
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