A constitutive model based on classical plasticity theory for non‐linear analysis of concrete structures using finite elements is presented. The model uses the typical parameters of non‐associated plasticity theory for frictional materials and a modified Mohr‐Coulomb yield surface is suggested. Onset and amount of cracking at a point are controlled by the values of the effective plastic strain and thus it can be studied by a posteriori postprocessing of numerical results. The accuracy and objectivity of the model is checked out with some examples of application.

O. Omidi, V. Lotfi. Continuum large cracking in a rate-dependent plastic-damage model for cyclic-loaded concrete structures. Int. J. Numer. Anal. Meth. Geomech. 37(10) (2012) DOI 10.1002/nag.2093

J. Liu, G. Lin, B. Fu, H. Zhong. The use of visco-elastoplastic damage constitutive model to simulate nonlinear behavior of concrete. Acta Mechanica Solida Sinica 24(5) DOI 10.1016/s0894-9166(11)60041-4

J. Králik. Nonlinear Probabilistic Analysis of the Reinforced Concrete Structure Failure of a Nuclear Power Plant Considering Degradation Effects. AMM 249-250 (2012) DOI 10.4028/www.scientific.net/amm.249-250.1087

E. Zacchei, J. Molina, R. Brasil. Nonlinear Degradation Analysis of Arch-Dam Blocks by Using Deterministic and Probabilistic Seismic Input. J. Vib. Eng. Technol. 7(3) (2019) DOI 10.1007/s42417-019-00112-5

J. Faleiro, S. Oller, A. Barbat. Plastic‐damage analysis of reinforced concrete frames. Engineering Computations 27(1) DOI 10.1108/02644401011008522

A. Winnicki, C. Cichoń. Plastic Model for Concrete in Plane Stress State. I: Theory. Journal of Engineering Mechanics 124(6) DOI 10.1061/(asce)0733-9399(1998)124:6(591)

F. Zárate, E. Oñate. A simple FEM–DEM technique for fracture prediction in materials and structures. Comp. Part. Mech. 2(3) (2015) DOI 10.1007/s40571-015-0067-2

C. SAOURIDIS, J. MAZARS. PREDICTION OF THE FAILURE AND SIZE EFFECT IN CONCRETE VIA A BI‐SCALE DAMAGE APPROACH. Engineering Computations 9(3) DOI 10.1108/eb023870

X. Mu, Q. Sun, W. Sun, Y. Wang, C. Wang, X. Wang. 3D tolerance modeling and geometric precision analysis of plane features for flexible parts. Engineering Computations 35(7) DOI 10.1108/ec-10-2017-0388

J. Liu, G. Lin, H. Zhong. An elastoplastic damage constitutive model for concrete. China Ocean Eng 27(2) (2013) DOI 10.1007/s13344-013-0015-y

G. Voyiadjis, Z. Taqieddin, P. Kattan. Theoretical Formulation of a Coupled Elastic—Plastic Anisotropic Damage Model for Concrete using the Strain Energy Equivalence Concept. International Journal of Damage Mechanics 18(7) (2008) DOI 10.1177/1056789508092399

R. Abu Al-Rub, G. Voyiadjis. Gradient-enhanced Coupled Plasticity-anisotropic Damage Model for Concrete Fracture: Computational Aspects and Applications. International Journal of Damage Mechanics 18(2) (2009) DOI 10.1177/1056789508097541

M. Brünig, A. Michalski. Numerical analysis of damage and failure behavior of concrete. International Journal of Damage Mechanics (2019) DOI 10.1177/1056789519866005

Z. Li, J. Teng, X. He. Seismic Damage Analysis Model for RC Structures Based on Concrete Plastic Damage Model. (2012) DOI 10.1061/41171(401)241

M. Braun, J. Fernández-Sáez. A 2D discrete model with a bilinear softening constitutive law applied to dynamic crack propagation problems. Int J Fract 197(1) (2016) DOI 10.1007/s10704-015-0067-5

Z. Wang, X. Jin, N. Jin, A. Shah, B. Li. Damage based constitutive model for predicting the performance degradation of concrete. Lat. Am. j. solids struct. 11(6) DOI 10.1590/s1679-78252014000600001

F. Karaoulanis. Implicit Numerical Integration of Nonsmooth Multisurface Yield Criteria in the Principal Stress Space. Arch Computat Methods Eng 20(3) (2013) DOI 10.1007/s11831-013-9087-3

S. Saloustros, M. Cervera, L. Pelà. Challenges, Tools and Applications of Tracking Algorithms in the Numerical Modelling of Cracks in Concrete and Masonry Structures. Arch Computat Methods Eng 26(4) (2018) DOI 10.1007/s11831-018-9274-3