高应变率载荷作用下金属材料的变形集中于很窄的区域内,即剪切变形局部化。局部化变形带内产生严重的塑性变形,削弱材料的承载能力,甚至导致材料断裂破坏。基于有限元分析软件FEAP(Finite Element Analysis Program),采用混合有限元方法...高应变率载荷作用下金属材料的变形集中于很窄的区域内,即剪切变形局部化。局部化变形带内产生严重的塑性变形,削弱材料的承载能力,甚至导致材料断裂破坏。基于有限元分析软件FEAP(Finite Element Analysis Program),采用混合有限元方法,用Fortran语言编译适用于金属材料在高应变率下的剪切局部化问题的新单元;计算过程中采用与应变、应变率及温度相关的塑性本构关系来描述剪切带现象,同时在能量平衡方程中考虑剪切带形成过程中的热传导作用;同时考虑显式算法与隐式算法的时间离散方法,并将两种算法的结果进行对比。结果表明,虽然剪切带形成过程很短,一般为微秒量级,但剪切带形成过程中的热扩散项与塑性变形产生的热能量级相同,有效地缓解剪切带模拟的网格敏感性;对于金属材料热塑性剪切带问题,为了满足计算精度要求,显式算法需要的时间步太小,计算成本比隐式迭代高很多;而基于该单元采用隐式算法模拟热塑性剪切带问题迭代收敛稳定,计算精度高,且因为考虑了热传导作用,网格敏感性小。展开更多
Deep rock mass possesses some unusual properties due to high earth stress,which further result in new problems that have not been well understood and explained up to date.In order to investigate the deformation mechan...Deep rock mass possesses some unusual properties due to high earth stress,which further result in new problems that have not been well understood and explained up to date.In order to investigate the deformation mechanism,the complete deformation process of deep rock mass,with a great emphasis on local shear deformation stage,was analyzed in detail.The quasi continuous shear deformation of the deep rock mass is described by a combination of smooth functions:the averaged distribution of the original deformation field,and the local discontinuities along the slip lines.Hence,an elasto-plastic model is established for the shear deformation process,in which the rotational displacement is taken into account as well as the translational component.Numerical analysis method was developed for case study.Deformation process of a tunnel under high earth stress was investigated for verification.展开更多
文摘高应变率载荷作用下金属材料的变形集中于很窄的区域内,即剪切变形局部化。局部化变形带内产生严重的塑性变形,削弱材料的承载能力,甚至导致材料断裂破坏。基于有限元分析软件FEAP(Finite Element Analysis Program),采用混合有限元方法,用Fortran语言编译适用于金属材料在高应变率下的剪切局部化问题的新单元;计算过程中采用与应变、应变率及温度相关的塑性本构关系来描述剪切带现象,同时在能量平衡方程中考虑剪切带形成过程中的热传导作用;同时考虑显式算法与隐式算法的时间离散方法,并将两种算法的结果进行对比。结果表明,虽然剪切带形成过程很短,一般为微秒量级,但剪切带形成过程中的热扩散项与塑性变形产生的热能量级相同,有效地缓解剪切带模拟的网格敏感性;对于金属材料热塑性剪切带问题,为了满足计算精度要求,显式算法需要的时间步太小,计算成本比隐式迭代高很多;而基于该单元采用隐式算法模拟热塑性剪切带问题迭代收敛稳定,计算精度高,且因为考虑了热传导作用,网格敏感性小。
基金Project(50825403) supported by the National Science Fund for Distinguished Young ScholarsProject(2010CB732003) supported by the National Key Basic Research Program of ChinaProject(51021001) supported by the Science Fund for Creative Research Group of the National Natural Science Foundation of China
文摘Deep rock mass possesses some unusual properties due to high earth stress,which further result in new problems that have not been well understood and explained up to date.In order to investigate the deformation mechanism,the complete deformation process of deep rock mass,with a great emphasis on local shear deformation stage,was analyzed in detail.The quasi continuous shear deformation of the deep rock mass is described by a combination of smooth functions:the averaged distribution of the original deformation field,and the local discontinuities along the slip lines.Hence,an elasto-plastic model is established for the shear deformation process,in which the rotational displacement is taken into account as well as the translational component.Numerical analysis method was developed for case study.Deformation process of a tunnel under high earth stress was investigated for verification.