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星形平均曲率流的非坍塌性 被引量:1
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作者 刘艳楠 苏梅 《应用数学学报》 CSCD 北大核心 2015年第4期632-640,共9页
本文主要研究了星形平均曲率流的非坍塌性质,证明星形初始曲面的平均曲率流保持非坍塌性质。具体地,我们证明了如果平均曲率流的初始曲面是星形的,且初始曲面上每一点都含有一个与某个正函数有关的球,则在光滑解存在的任意时刻内,这一... 本文主要研究了星形平均曲率流的非坍塌性质,证明星形初始曲面的平均曲率流保持非坍塌性质。具体地,我们证明了如果平均曲率流的初始曲面是星形的,且初始曲面上每一点都含有一个与某个正函数有关的球,则在光滑解存在的任意时刻内,这一性质是保持的. 展开更多
关键词 几何发展方程 平均曲率流 非坍塌性
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平均凸曲线缩短流的非坍塌性
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作者 苏梅 刘艳楠 《应用数学学报》 CSCD 北大核心 2016年第6期917-927,共11页
本文主要研究了平面凸曲线缩短流的非坍塌性质.首先,我们给出了平面凸曲线非坍塌性的定义,并通过定义一个函数Z,我们证明了平面凸曲线非坍塌与函数Z的非负性是等价的.接着,我们利用极值原理证明平面凸曲线缩短流保持非坍塌性质.
关键词 曲线缩短流 非坍塌性 极值原理
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Research on nonlinear characteristics of strata collapse because of the multi-frequency mining 被引量:2
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作者 杨帆 胡振琪 +1 位作者 杨伦 麻凤海 《Journal of Coal Science & Engineering(China)》 2008年第2期308-310,共3页
Based on the complexity of mine stratum and coupling of the multi-frequency for the damage of mine stratum,using the method of on-site inspection and mathematical statistics,the regulation and nonlinear characteristic... Based on the complexity of mine stratum and coupling of the multi-frequency for the damage of mine stratum,using the method of on-site inspection and mathematical statistics,the regulation and nonlinear characteristics of strata collapse in mine stratum's multi-frequency mining were put forward and systemically studied.Study result shows that the influence of multi-frequency mining in mine stratum has the feature of multi-frequency incontinuity,multi-characteristic and multi-type nonlinear collapse,strata collapse activa- tion turned worse,presenting an accumulation effect of multi-frequency mining for the strata damage.With the example of multi-frequency mining in the mine,the real characte- ristics of strata collapse by multi-frequency mining and nonlinear characteristics of accu- mulative response damage were analyzed.Research achievements about the surface re- cover and controlling of strata collapse by the multi-frequency mining have instruction meaning. 展开更多
关键词 multi-frequency mining stratum collapse nonlinear coupling accumulative response
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A new numerical method for determining collapse load-carrying capacity of structure made of elasto-plastic material 被引量:2
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作者 钟志鹏 任大龙 万水 《Journal of Central South University》 SCIE EI CAS 2014年第1期398-404,共7页
Determination of collapse load-carrying capacity of elasto-plastic material is very important in designing structure. The problem is commonly solved by elasto-plastic finite element method (FEM). In order to deal wi... Determination of collapse load-carrying capacity of elasto-plastic material is very important in designing structure. The problem is commonly solved by elasto-plastic finite element method (FEM). In order to deal with material nonlinear problem involving strain softening problem effectively, a new numerical method-damped Newton method was proposed. The iterative schemes are discussed in detail for pure equilibrium models. In the equilibrium model, the plasticity criterion and the compatibility of the strains are verified, and the strain increment and plastic factor are treated as independent unknowns. To avoid the stiffness matrix being singularity or condition of matrix being ill, a damping factor a was introduced to adjust the value of plastic consistent parameter automatically during the iterations. According to the algorithm, the nonlinear finite element program was complied and its numerical example was calculated. The numerical results indicate that this method converges very fast for both small load steps and large load steps. Compared with those results obtained by analysis and experiment, the predicted ultimate bearing capacity from the proposed method is identical. 展开更多
关键词 damped Newton method collapse load elasto-plastic material non-linear finite element method incremental-iterativeanalysis
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