Recent Advances in Simulating Failure Evolution with the Material Point Method

Abstract:

To predict a complete process of failure evolution, discontinuous bifurcation analysis has been performed to link elastoplasticity and damage models with decohesion models. To simulate multi-phase interactions involving failure evolution, the Material Point Method (MPM) has been developed to discretize localized large deformations and the transition from continuous to discontinuous failure modes. In a recent study for the Sandia National Laboratories (SNL) challenge, the decohesion modeling is improved by making the failure mode adjustable and by replacing the critical normal and tangential decohesion strengths with the tensile and shear peak strengths, in order to predict the cracking path in a complex configuration with the least computational cost,. It is found that there is a transition between different failure modes along the cracking path, which depends on the stress distribution around the path due to the nonlocal nature of failure evolution. Representative examples will be used to demonstrate the recent advances in simulating failure evolution with the MPM.

• Periodical: Applied Mechanics and Materials (Volume 784)
• Pages: 193-199
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.784.193
• Online since: August 2015
• Authors: Zhen Chen*, Xiong Zhang
• Keywords: Discontinuous Bifurcation Analysis, Failure Evolution, Material Point Method

References

[1] Bazant, Z.P., and Chen, E.P., Scaling of Structural Failure, Applied Mechanics Reviews, Vol. 50, pp.593-627, (1997).

[2] Chen, Z., Continuous and Discontinuous Failure Modes, Journal of Engineering Mechanics, Vol. 122, pp.80-82, (1996).

[3] Chen, Z., Deng, M. and Chen, E.P., On the Rate-Dependent Transition from Tensile Damage to Discrete Fracture in Dynamic Brittle Failure, Theoretical and Applied Fracture Mechanics, Vol. 35, pp.229-235, (2001).

DOI: 10.1016/s0167-8442(01)00046-5

[4] Chen, Z., and Fang, H.E., A Study on the Link between Coupled Plasticity/Damage and Decohesion for Multi-Scale Modeling, Journal of Mechanical Engineering Science – Proceedings of the Institution of Mechanical Engineers Part C, Vol. 215, pp.259-263, (2001).

DOI: 10.1243/0954406011520698

[5] Chen, Z., Hu, W., and Chen, E.P., Simulation of Dynamic Failure Evolution in Brittle Solids without Using Nonlocal Terms in the Strain-Stress Space, Computer Modeling in Engineering & Sciences, Vol. 1, pp.101-106, (2000).

[6] Chen, Z., and Schreyer, H.L., On Nonlocal Damage Models for Interface Problems, International Journal of Solids and Structures, Vol. 31, pp.1241-1261, (1994).

DOI: 10.1016/0020-7683(94)90119-8

[7] Chen, Z., and Schreyer, H.L., Formulation and Computational Aspects of Plasticity and Damage Models with Application to Quasi-Brittle Materials, SAND95-0329, Sandia National Laboratories, USA. (1995).

DOI: 10.2172/120890

[8] Chen, Z., Shen, L., Mai, Y. -W., and Shen, Y. -G., A Bifurcation-based Decohesion Model for Simulating the Transition from Localization to Decohesion with the MPM, Journal of Applied Mathematics and Physics (ZAMP), Vol. 56, pp.908-930, (2005).

DOI: 10.1007/s00033-005-3011-0

[9] Klein, P.A., Foulk, J.W., Chen, E.P., Wimmer, S.A., and Gao, H., Physics-based Modeling of Brittle Fracture: Cohesive Formulations and the Application of Meshfree Methods, SAND2001-8099, Sandia National Laboratories, USA, (2000).

DOI: 10.2172/772347

[10] Ottosen, N.S., and Runesson, K., Properties of Discontinuous Bifurcation Solutions in Elasto-Plasticity, International Journal of Solids and Structures, Vol. 27, pp.401-421, (1991).

DOI: 10.1016/0020-7683(91)90131-x

[11] Schreyer, H.L., Sulsky, D., and Zhou, S. -J., Modeling Material Failure as a Strong Discontinuity with the Material Point Method, " Mechanics of Quasi-Brittle Materials and Structures: A Volume in Honor of Professor Zdenek P. Bazant, s 60th Birthday, edited by G. Pijaudier-Cabot, et al., Hermes Science Publications, Paris, pp.307-329, (1999).

[12] Yang, P., Gan, Y., Zhang, X., Chen, Z., Qi, W., and Liu, P., Improved Decohesion Modeling with the Material Point Method for Simulating Crack Evolution, International Journal of Fracture, Vol. 186, pp.177-184, (2014).

DOI: 10.1007/s10704-013-9925-1