Simulations of Concrete Response to Impact Loading Using Two Regularized Models

Abstract

This paper focuses on a comparison of two regularized continuum models for concrete in the simulations of selected benchmarks of response to impact loading. Their overview is performed in the context of application in dynamics. The first one is the Hoffman viscoplastic consistency model, where the strain rate activates regularization. The second model is derived from the scalar damage theory enhanced by an averaging equation incorporating the Laplacian of an averaged strain measure. Both models are implemented in the FEAP package. The results of some standard wave propagation tests are discussed, considering discretization sensitivity and predicted failure modes. Three examples are presented: the direct tension of a plain and reinforced concrete bar, the split test of a cylinder, and the four-point bending of a reinforced concrete beam. The ability of both models to simulate impact loading is assessed.

Keywords

dynamics, viscoplasticity, damage, concrete, regularization, finite element method,

References

1. R. Alessi, J.-J. Marigo, S. Vidoli, Gradient damage models coupled with plasticity: Variational formulation and main properties, Mechanics of Materials, 80: 351–367, 2015.
2. H. Askes, J. Pamin, R. de Borst, Dispersion analysis and element-free Galerkin solutions of second- and fourth-order gradient-enhanced damage models, International Journal for Numerical Methods in Engineering, 49: 811–832, 2000.
3. Z.P. Bažant, T. Belytschko, Wave propagation in a strain-softening bar: exact solution, ASCE Journal of Engineering Mechanics, 111(3): 381–389, 1985.
4. Z.P. Bažant, M. Jirásek, Nonlocal integral formulations and damage: Survey of progress, ASCE Journal of Engineering Mechanics, 128(11): 1119–1149, 2002.
5. Z.P. Bažant, G. Pijaudier-Cabot, Nonlocal continuum damage, localization instability and convergence, ASME Journal of Applied Mechanics, 55: 287–293, 1988.
6. T. Belytschko, D. Lasry, A study of localization limiters for strain-softening in statics and dynamics, Computers & Structures, 33(3): 707–715, 1989.
7. N. Bićanić, C.J. Pearce, D.R.J. Owen, Failure predictions of concrete like materials using softening Hoffman plasticity model, [in:] H. Mang, N. Bićanić, R. de Borst [Eds], Computational modelling of concrete structures, Euro-C 1994, vol. 1, pp. 185–198, Pineridge Press, Swansea, UK, 1994.
8. J. Bobiński, J. Tejchman, Numerical simulations of localization of deformation in quasi- brittle materials within non-local softening plasticity, Computers & Concrete, 1(4): 1–22, 2004.
Published
Jun 19, 2020
How to Cite
WOSATKO, Adam; WINNICKI, Andrzej; PAMIN, Jerzy. Simulations of Concrete Response to Impact Loading Using Two Regularized Models. Computer Assisted Methods in Engineering and Science, [S.l.], v. 27, n. 1, p. 27-60, june 2020. ISSN 2956-5839. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/270>. Date accessed: 29 mar. 2024. doi: http://dx.doi.org/10.24423/cames.270.
Section
Articles