Failure of rock under impact loadings involves complex micro-fracturing and progressive damage. Strength increase and splitting failure have been observed during dynamic tests of rock materials. However, the failure m...Failure of rock under impact loadings involves complex micro-fracturing and progressive damage. Strength increase and splitting failure have been observed during dynamic tests of rock materials. However, the failure mechanism still remains unclear. In this work, based on laboratory tests, numerical simulations with the particle flow code(PFC) were carried out to reproduce the micro-fracturing process of granite specimens. Shear and tensile cracks were both recorded to investigate the failure mode of rocks under different loading conditions. At the same time, a dynamic damage model based on the Weibull distribution was established to predict the deformation and degradation behavior of specimens. It is found that micro-cracks play important roles in controlling the dynamic deformation and failure process of rock under impact loadings. The sharp increase in the number of cracks may be the reason for the strength increase of rock under high strain rates. Tensile cracks tend to be the key reason for splitting failure of specimens. Numerical simulation of crack propagation by PFC can give vivid description of the failure process. However, it is not enough for evaluation of material degradation. The dynamic damage model is able to predict the stress-strain relationship of specimens reasonably well, and can be used to explain the degradation of specimens under impact loadings at macro-scale. Crack and damage can describe material degradation at different scales and can be used together to reveal the failure mechanism of rocks.展开更多
Based on the concepts of continuum damage theory,a new plastic damage model for concrete crack failure is developed through studying the basic damage mechanics.Two damage variables,tensile damage variable for tensile ...Based on the concepts of continuum damage theory,a new plastic damage model for concrete crack failure is developed through studying the basic damage mechanics.Two damage variables,tensile damage variable for tensile damage and shear damage variable for compressive damage,are adopted to represent the influence of microscopic damage on material macromechanics properties under tensile and compressive loadings.The yield criteria and flow rule determining the plasticity of concrete are established in the effective stress space,which is convenient to decouple the damage process from the plastic process and calibrate material parameters with experimental results.Meanwhile,the plastic part of the proposed model can be implemented by back-Euler implicit algorithm,and the damage part is explicit.Consequently,there exist robust algorithms for integrating the constitutive relations using finite element method.Comparison with several experimental results shows that the model is capable of simulating the nonlinear performance of concrete under multiaxial stress state and can be applied to practical concrete structures.展开更多
基金Projects(51274254,51322403)supported by the National Natural Science Foundation of ChinaProject(NCET-11-0528)supported by theProgram for New Century Excellent Talents in University,ChinaProject(2013SK2011)supported by Hunan Province Science andTechnology Plan,China
文摘Failure of rock under impact loadings involves complex micro-fracturing and progressive damage. Strength increase and splitting failure have been observed during dynamic tests of rock materials. However, the failure mechanism still remains unclear. In this work, based on laboratory tests, numerical simulations with the particle flow code(PFC) were carried out to reproduce the micro-fracturing process of granite specimens. Shear and tensile cracks were both recorded to investigate the failure mode of rocks under different loading conditions. At the same time, a dynamic damage model based on the Weibull distribution was established to predict the deformation and degradation behavior of specimens. It is found that micro-cracks play important roles in controlling the dynamic deformation and failure process of rock under impact loadings. The sharp increase in the number of cracks may be the reason for the strength increase of rock under high strain rates. Tensile cracks tend to be the key reason for splitting failure of specimens. Numerical simulation of crack propagation by PFC can give vivid description of the failure process. However, it is not enough for evaluation of material degradation. The dynamic damage model is able to predict the stress-strain relationship of specimens reasonably well, and can be used to explain the degradation of specimens under impact loadings at macro-scale. Crack and damage can describe material degradation at different scales and can be used together to reveal the failure mechanism of rocks.
基金supported by the National Natural Science Foundation of China (Grant Nos. 51139001,51179066,51079046)the Program for New Century Excellent Talents in University (Grant Nos. NCET-11-0628,NCET-10-0359)+1 种基金the Special Fund of State Key Laboratory of China(Grant Nos. 2009586012,2009586912,2010585212)the Fundamental Research Funds for the Central Universities (Grant Nos. 2010B20414,2010B01414,2010B14114)
文摘Based on the concepts of continuum damage theory,a new plastic damage model for concrete crack failure is developed through studying the basic damage mechanics.Two damage variables,tensile damage variable for tensile damage and shear damage variable for compressive damage,are adopted to represent the influence of microscopic damage on material macromechanics properties under tensile and compressive loadings.The yield criteria and flow rule determining the plasticity of concrete are established in the effective stress space,which is convenient to decouple the damage process from the plastic process and calibrate material parameters with experimental results.Meanwhile,the plastic part of the proposed model can be implemented by back-Euler implicit algorithm,and the damage part is explicit.Consequently,there exist robust algorithms for integrating the constitutive relations using finite element method.Comparison with several experimental results shows that the model is capable of simulating the nonlinear performance of concrete under multiaxial stress state and can be applied to practical concrete structures.
