旨在寻求新梅森素数的大互联网梅森素数搜寻计划GIMPS(Great Internet Mersenne Primes Search)[1]在网格技术的协助下已找到第44个梅森素数。GIMPS是唯一的全球分布计算计划,真正的虚拟组织[2]。梅森素数的计算具有指数复杂性,随着p达...旨在寻求新梅森素数的大互联网梅森素数搜寻计划GIMPS(Great Internet Mersenne Primes Search)[1]在网格技术的协助下已找到第44个梅森素数。GIMPS是唯一的全球分布计算计划,真正的虚拟组织[2]。梅森素数的计算具有指数复杂性,随着p达千万级,所需计算时间须以千、万计算机年计。本文基于梅森素数搜索历程中的原理、技术和算法,探讨网格技术给GIMPS计划带来的突破性进展。展开更多
Three-dimensional rock fracture induced by blasting is a highly complex problem and has received considerable attention in geotechnical engineering.The material point method is firstly applied to treat this challengin...Three-dimensional rock fracture induced by blasting is a highly complex problem and has received considerable attention in geotechnical engineering.The material point method is firstly applied to treat this challenging task.Some inherent weaknesses can be overcome by coupling the generalized interpolation material point(GIMP)and the convected particle domain interpolation technique(CPDI).For the media in the borehole,unchanged GIMP-type particles are used to guarantee a homogenous blast pressure.CPDITetrahedron type particles are employed to avoid the fake numerical fracture near the borehole for the rock material.A blasting experiment using three-dimensional single-borehole rock was simulated to examine the applicability of the coupled model under realistic loading and boundary conditions.A good agreement was achieved between the simulation and experimental results.Moreover,the mechanism of three-dimensional rock fracture was analyzed.It was concluded that rock particle size and material parameters play an important role in rock damage.The reflected tensile waves cause severe damage in the lower part of the model.Rayleigh waves occur on the top face of the rock model to induce a hoop failure band.展开更多
文摘旨在寻求新梅森素数的大互联网梅森素数搜寻计划GIMPS(Great Internet Mersenne Primes Search)[1]在网格技术的协助下已找到第44个梅森素数。GIMPS是唯一的全球分布计算计划,真正的虚拟组织[2]。梅森素数的计算具有指数复杂性,随着p达千万级,所需计算时间须以千、万计算机年计。本文基于梅森素数搜索历程中的原理、技术和算法,探讨网格技术给GIMPS计划带来的突破性进展。
基金This research was funded by the Natural Science Foundation of Sichuan,China(No.2022NSFSC1915)the National Natural Science Foundation of China(No.U19A2098)+1 种基金State Key Laboratory of Precision Blasting and Hubei Key Laboratory of Blasting Engineering,Jianghan University(No.PBSKL2022B06)the Fundamental Research Funds for the Central Universities。
文摘Three-dimensional rock fracture induced by blasting is a highly complex problem and has received considerable attention in geotechnical engineering.The material point method is firstly applied to treat this challenging task.Some inherent weaknesses can be overcome by coupling the generalized interpolation material point(GIMP)and the convected particle domain interpolation technique(CPDI).For the media in the borehole,unchanged GIMP-type particles are used to guarantee a homogenous blast pressure.CPDITetrahedron type particles are employed to avoid the fake numerical fracture near the borehole for the rock material.A blasting experiment using three-dimensional single-borehole rock was simulated to examine the applicability of the coupled model under realistic loading and boundary conditions.A good agreement was achieved between the simulation and experimental results.Moreover,the mechanism of three-dimensional rock fracture was analyzed.It was concluded that rock particle size and material parameters play an important role in rock damage.The reflected tensile waves cause severe damage in the lower part of the model.Rayleigh waves occur on the top face of the rock model to induce a hoop failure band.
