A mesoscopic analysis of a localized shear band propagation effect on the deformation and fracture of coated materials
DOI:
https://doi.org/10.31181/rme200102006bKeywords:
Mesomechanics; Microstructure-based modeling; Coated materials; Lüders band propagation.Abstract
The numerical simulations of the deformation and fracture in an iron boride coating – steel substrate composition are presented. The dynamic boundary-value problem is solved numerically by the finite-difference method. A complex geometry of the borided coating – steel substrate interface is taken into account explicitly. To simulate the mechanical behavior of the steel substrate, use is made of an isotropic strain hardening model including a relation for shear band propagation. Local regions of bulk tension are shown to arise near the interface even under simple uniaxial compression of the composition and in so doing they determine the mesoscale mechanisms of fracture. The interrelation between plastic deformation in the steel substrate and cracking of the borided coating is studied. Stages of shear band front propagation attributable to the interface complex geometry have been revealed. The coating cracking pattern, location of the fracture onset regions and the total crack length are found to depend on the front velocity in the steel substrate.
References
Balasundaram, A., Gokhale, A. M., Graham, S., Horstemeyer, M. F. (2003). Three–dimensional particle cracking damage development in an Al–Mg–base wrought alloy. Materials Science and Engineering: A, 355, 368–383.
Balokhonov, R. R., Makarov, P. V., Romanova, V. A. and Smolin, I. Yu. (1999). Simulation of crystal plasticity under dynamic loading. Computational Materials Science, 16 (4), 355–361.
Balokhonov, R. R., Romanova, V. A., Schmauder, S. and Makarov, P.V. (2003). Simulation of meso–macro dynamic behavior using steel as an example. Computational Materials Science, 28, 505–511.
Balokhonov, R., Romanova, V., Schmauder, S. (2006). Computational analysis of deformation and fracture in a composite material on the mesoscale level. Computational Material Science, 37, 110-118.
Balokhonov, R. R., Romanova, V. A. (2009). The effect of the irregular interface geometry in deformation and fracture of a steel substrate–boride coating composite. International Journal of Plasticity, 25, 11, 2225-2248.
Balokhonov, R., Romanova, V. (2019) On the problem of strain localization and fracture site prediction in materials with irregular geometry of interfaces. Facta Universitatis. Series: Mechanical Engineering, 17 (2), 169-180.
Balokhonov, R., Romanova, V., Kulkov, A. (2020). Microstructure-based analysis of deformation and fracture in metal-matrix composite materials. Engineering Failure Analysis, 110, 104412.
Balokhonov, Ruslan R. and Romanova, Varvara A. (2021). Microstructure-Based Computational Analysis of Deformation and Fracture in Composite and Coated Materials Across Multiple Spatial Scales. In G.P.Ostermeyer et al. (eds.), Multiscale Biomechanics and Tribology of Inorganic and Organic Systems (pp. 377–419). Springer Tracts in Mechanical Engineering.
Belotteau, J., Berdin, C., Forest, S., Parrot, A., Prioul, C. (2009). Mechanical behavior and crack tip plasticity of a strain aging sensitive steel. Materials Science and Engineering: A, 526, 1–2, 156-165.
Beukel, A. V. D., Kocks, U. F. (1982). The strain dependence of static and dynamic strain-aging. Acta Metallurgica et Materialia, 30, 1027-1034.
Casarotto, L., Tutsch, R., Ritter, R., Weidenmüller, J., Ziegenbein, A., Klose, F., Neuhäuser, H. (2003). Propagation of deformation bands investigated by laser scanning extensometry. Computational Materials Science, 26, 210-218.
Carrere, N., Valle, R., Bretheau, T., and Chaboche, J.-L. (2004). Multiscale analysis of the transverse properties of Ti-based matrix composites reinforced by SiC fibres: from the grain scale to the macroscopic scale. International Journal of Plasticity, 20, 783-810.
Chandra, N., Ghonem, H. (2001). Interfacial mechanics of push-out tests: theory and experiments. Composites Part A: Applied Science and Manufacturing, 32, 575-584.
Chawla, N., Sidhu, R. S., Ganesh, V. V. (2006). Three-dimensional visualization and microstructure-based modeling of deformation in particle-reinforced composites. Acta Materialia, 54, 1541-1548.
Grigorieva, I. S., Meilihova, E. Z., (Eds.). (1991). Physical values. Reference book. Energoatomizdat, Moscow.
Guo, L.-C., Wu, L.-Z., Zeng, T., Cao, D.-h. (2005). The transient response of a coating–substrate structure with a crack in the functionally graded interfacial layer. Composite Structures, 70, 109-119.
Hähner, P., Rizzi, E. (2003). On the kinematics of Portevin-Le Chatelier bands: theoretical and numerical modeling. Acta Materialia 51, 3385-3397.
Kachanov, L. M. (1974). Fundamentals of fracture mechanics. Nauka, Moscow.
Ke, H. B., Sun, B. A., Liu, C. T., Yang, Y. (2014). Effect of size and base-element on the jerky flow dynamics in metallic glass, Acta Materialia, 63, 180-190.
Koval, A. V., Panin, S. V. (2000). Mesoscale deformation and cracking of surface-hardened low carbon steel. Theoretical and Applied Fracture Mechanics, 34, 117-121.
Llorca, J., Needleman, A., Suresh, S. (1991). An analysis of the effects of matrix void growth on deformation and ductility in metal-ceramic composites. Acta Metallurgica et Materialia, 39, 2317-2335.
McCormick, P. G., Ling, C. P. (1995). Numerical modeling of the Portevin-Le Chatelier effect. Acta Metallurgica et Materialia, 43, 1969-1977.
Nagornih, S. N., Sarafanov, G. F., Kulikova, G. A. (1993). Plastic deformation instability in cooper alloys. Russian Physics Journal, 36, 112-117.
Needleman, A., Asaro, R. J., Lemonds, J., Peirce, D. (1985). Finite element analysis of crystalline solids. Computer Methods in Applied Mechanics and Engineering, 52, 689-708.
Needleman, A. (1990). An analysis of tensile decohesion along an interface. Journal of the Mechanics and Physics of Solids, 38, 289-324.
Nemat-Nasser, S., Guo, W. G. (2005). Thermomechanical response of HSLA-65 steel plates: experiment and modeling. Mechanics of Materials, 37, 379-405.
Panin, S. V., Durakov, V. G., Pribitkov, G. A. (1998). Mesomechanics of plastic deformation and fracture of low-carbon steel with high-strength coating. Physical Mesomechanics, 1, 51–58.
Pogrebnyak, A. D., Shpak, A. P., Azarenkov, N. A., and Beresnev, V. M. (2009). Structure and properties of hard and superhard nanocomposite coatings, Physics–Uspekhi, 52 (1), 29–54.
Ren, S. C., Morgeneyer, T. F., Mazière, M., Forest, S., Rousselier, G. (2021). Effect of Lüders and Portevin–Le Chatelier localization bands on plasticity and fracture of notched steel specimens studied by DIC and FE simulations. International Journal of Plasticity, 136, 102880.
Richtmyer, R. D., Morton, K. W. (1967). Difference methods for initial-value problems. Interscience publishers, John Wiley & Sons, New York – London – Sydney.
Romanova, V., Balokhonov, R., Makarov, P., Schmauder, S., and Soppa, E. (2003). Simulation of elasto-plastic behaviour of an artificial 3D-structure under dynamic loading. Computational Materials Science, 28, 518-528.
Romanova, V., Balokhonov, R., Schmauder, S. (2009). The influence of the reinforcing particle shape and interface strength on the fracture behavior of a metal. Acta Materialia, 57, 97-107.
Romanova, V., Balokhonov, R., Schmauder, S. (2011). Three-dimensional analysis of mesoscale deformation phenomena in welded low-carbon steel. Materials Science and Engineering: A, 528, 5271-5277.
Romanova, V., Balokhonov, R., Panin, A., Kazachenok, M., Kozelskaya, A. (2017). Micro- and mesomechanical aspects of deformation-induced surface roughening in polycrystalline titanium. Materials Science and Engineering: A, 697, 248-258.
Schmauder, S. (2002). Computational Mechanics. Annual Review of Materials Research, 32, 437–465.
Sørensen, N., Needleman, A., Tvergaard, V. (1992). Three-dimensional analysis of creep in a metal matrix composite. Materials Science and Engineering: A, 158, 129-137.
Tretyakova Tatyana, Zubova Ekaterina, (2018). Influence of additional vibration impact on kinetics of strain bands due to the Chernov-Lüders deformation and Portevin-Le Chatelier effect in metals. Procedia Structural Integrity, 13, 1739-1744.
Tilbrook, M. T., Paton, D. J., Xie, Z., Hoffman, M. (2007). Microstructural effects on indentation failure mechanisms in TiN coatings: Finite element simulations. Acta Materialia, 55, 2489–2501.
Tkadletz Michael, Schalk Nina, Daniel Rostislav, Keckes Jozef, Czettl Christoph, Mitterer Christian. (2016). Advanced characterization methods for wear resistant hard coatings: A review on recent progress. Surface and Coatings Technology, 285, 31-46.
Wilkins, Mark L. (1999). Computer simulation of dynamic phenomena. Springer.
