A model of evolution induced catastrophe(EIC)characterized by a nonlocal interaction is proposed.The general feature of the model is its two bias states:explosively catastrophic and globally stable,both consisting in ...A model of evolution induced catastrophe(EIC)characterized by a nonlocal interaction is proposed.The general feature of the model is its two bias states:explosively catastrophic and globally stable,both consisting in a cascade of locally unstable states.A one-dimensional analysis reveals a transition region from globally stable to catastrophe.A two-dimensional simulation gives a thin fractal fracture profile similar to that observed and also a possible spectrum of fracture fractal.All these are different from percolation.Hence,the EIC model may represent a prototype of natural processes.展开更多
＂Off the Pacific coast of Tohoku Earthquake＂ （M9.0, on March l lth, 2011） is the greatest one in Japanese seismic record. The hypocenter is located 130 km ESE off the Pacific coast of Tohoku with the focal depth o...＂Off the Pacific coast of Tohoku Earthquake＂ （M9.0, on March l lth, 2011） is the greatest one in Japanese seismic record. The hypocenter is located 130 km ESE off the Pacific coast of Tohoku with the focal depth of 24 kin. The quake-triggered tsunami afterward seriously damaged the nuclear reactors and caused severe consequences to the society.展开更多
The prediction of catastrophic rupture of heterogeneous brittle material has been investigated by researchers in the past.In this work,the acoustic emission generated by marble samples under compression was analyzed t...The prediction of catastrophic rupture of heterogeneous brittle material has been investigated by researchers in the past.In this work,the acoustic emission generated by marble samples under compression was analyzed to verify a power law singularity of index 1/2 as a catastrophe precursor.It is found that prior to catastrophe,the variation of the system response to the controlling parameter follows a power law of negative index,which proves the power law singularity as a common precursor of catastrophe.However,the power indexes vary with variables and samples.The uncertainty reflects sample specificity of an evolution induced catastrophe (EIC) process.展开更多
基金Supported by the National Basic Research Project"Nonlinear Science"Chinese Academy of Sciences under special grant No.KM85-33.
文摘A model of evolution induced catastrophe(EIC)characterized by a nonlocal interaction is proposed.The general feature of the model is its two bias states:explosively catastrophic and globally stable,both consisting in a cascade of locally unstable states.A one-dimensional analysis reveals a transition region from globally stable to catastrophe.A two-dimensional simulation gives a thin fractal fracture profile similar to that observed and also a possible spectrum of fracture fractal.All these are different from percolation.Hence,the EIC model may represent a prototype of natural processes.
基金supported by National Natural Science Foundation of China (Grant Nos. 90715001,10721202,10972218,40974022,11021262)National Basic Research Program of China (Grant No. 2007CB814803)
文摘＂Off the Pacific coast of Tohoku Earthquake＂ （M9.0, on March l lth, 2011） is the greatest one in Japanese seismic record. The hypocenter is located 130 km ESE off the Pacific coast of Tohoku with the focal depth of 24 kin. The quake-triggered tsunami afterward seriously damaged the nuclear reactors and caused severe consequences to the society.
基金supported by the National Natural Science Foundation of China (Grant Nos. 10932011,11021262 and 11172311)the National Basic Research Program of China (Grant No. 2012CB937500)
文摘The prediction of catastrophic rupture of heterogeneous brittle material has been investigated by researchers in the past.In this work,the acoustic emission generated by marble samples under compression was analyzed to verify a power law singularity of index 1/2 as a catastrophe precursor.It is found that prior to catastrophe,the variation of the system response to the controlling parameter follows a power law of negative index,which proves the power law singularity as a common precursor of catastrophe.However,the power indexes vary with variables and samples.The uncertainty reflects sample specificity of an evolution induced catastrophe (EIC) process.
