An Anisotropic Multi-plane Elastic-Damage Model with Axial and Shear Damage and Its Application to Concrete Behavior

Abstract

Abstract. The prediction of material response is necessary for the analysis of structure under static or dynamic loading. Mathematical modeling of the nonlinear tri-dimensional mechanical behavior of quasi-brittle materials, like concrete, caused by damaging and plasticity e ects is one of the most serious classical challenges we face in the engineering science. Among phenomena of di erent orientations, the micro-plane models, like multiplanes models, which use a constitutive equation in a vectorial form rather than tensorial form by means of capturing interactions, can serve this goal adequately. This paper presents a simple realistic and robust damage based model in the multi-plane framework accomplished with a few parameters for calibration and suitable for engineering purposes without volumetric-deviatoric split of strain tensor and its problems. This damage formulation has been built on the basis of two types of fundamental damage, namely, axial damage and shear damage, that can essentially occur on each micro-plane and, based on this concept, two new axial and shear damage functions are presented. By comparing the results of the proposed model and experimental data, model veri cation has been done under di erent loading/unloading/reloading stress/strain paths.

Multi-Laminate Rate-Dependent Modelling of Static and Dynamic Concrete Behavior through Damage Formulation

“…Here, that is why in order to enhance the accuracy of numerical integration, 2X17 sampling planes were applied. Direction cosines and weights of the integration points are defined in Sadrnejad and Hoseinzadeh paper [35] (4) is used for the simulation in both linear and non-linear behaviors; in a way that, the theory of elasticity is used for modeling linear elastic behavior while based on continuum damage mechanics, in order to stimulate non-linear aspects, elastic properties of material is reduced in each plane by damage matrix which is specific to the same sampling plane.…”