Dynamic Constitutive Model for TiC-Particulate Reinforced Titanium Matrix Composites

Abstract:

A coupled model of damage and plasticity is presented to describe the dynamic behaviors of TiC-particulate reinforced titanium matrix composites (TiCp/TMCs) subjected to shock loadings. The TiCp/TMCs are assumed as homogeneous continuum with pre-existing micro-cracks and micro-voids. Damage to TiCp/TMCs is caused due to micro-crack nucleation, growth and coalescence, and defined as the probability of fracture at a given crack density. In terms of crack growth model, micro-cracks are activated, and begin to propagate gradually. When crack density reaches a critical value, the smashing destroy takes place. The model parameters for TiCp/TMCs are determined using plate impact experiments. Comparison with the test results shows that the proposed model can give consistent predictions of the dynamic behaviors of TiCp/TMCs subjected to impact loadings.

• Periodical: Materials Science Forum (Volume 833)
• Pages: 141-144
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.833.141
• Online since: November 2015
• Authors: Qing Yu Yu, Jing Wang, Yuan Chao Gan, Wei Dong Song*, Xiao Nan Mao
• Keywords: Constitutive Model, Damage Evolution, Impact Behavior, Plasticity, Titanium Matrix Composites

References

[1] Backman, D.G. and Williams, J.C. Advanced materials for aircraft engine applications. Science, 1992, 255(1992): 1082-1087.

DOI: 10.1126/science.255.5048.1082

[2] Sequrado J., Gonzalez C., and Llorca J. A numerical investigation of the effect of particle clustering on the mechanical properties of composites. Acta Mater., 51(2003): 2355-2369.

DOI: 10.1016/s1359-6454(03)00043-0

[3] Xiao, L., Lu, W.J., Yang, Z.F. et al. Effect of reinforcements on high temperature mechanical properties of in situ synthesized titanium matrix composites. Materials Science and Engineering A, 491(2008): 192–198.

DOI: 10.1016/j.msea.2008.01.077

[4] Song W.D., Ning J.G., Mao X.N. Mechanical and microstructural properties of TiC particle-reinforced titanium matrix composite International Journal of Materials and Product Technology, 42(2011): 183-194.

DOI: 10.1504/ijmpt.2011.045463

[5] Song W.D., Ning J.G., Mao X.N., Tang H.P. A modified Johnson-Cook model for titanium matrix composites reinforced with titanium carbide particles at elevated temperatures. Materials Science and Engineering: A, 576(2013): 280-289.

DOI: 10.1016/j.msea.2013.04.014

[6] Perzyna P. The constitutive equations for rate sensitive plastic materials. Quarter of Applied Mathematics, 20(1963): 321-335.

DOI: 10.1090/qam/144536

[7] Colantonio L, Stainier L. Numerical integration of visco-plastic constitutive equations for porous materials. In: Desideri J-A, Le Tallec P, Onate E, Periaux J, Stein E, editors, Numerical Methods in Engineering'96. Wiley Pubs; 1996: 28-34.

[8] Achenbach J D. Wave propagation in solids. North-Holland Publishing Co, (1973).