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具有Leslie-Gower反应的离散捕食—食饵系统的稳定性和分支分析 被引量:2
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作者 张莉敏 《四川文理学院学报》 2010年第2期13-15,共3页
研究了一类用向前欧拉法获得的具有Leslie-Gower反应类型的离散捕食系统的动力学行为.利用Jury判据,探讨了系统的渐进稳定性;利用分支理论和中心流型定理,证明了系统在一定条件下存在flip分支.
关键词 向前欧拉法 离散捕食-食饵系统 flip分支
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An explicit integration scheme for hypo-elastic viscoplastic crystal plasticity 被引量:1
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作者 K.ZHANG B.HOLMEDAL +1 位作者 S.DUMOULIN O.S.HOPPERSTAD 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2014年第7期2401-2407,共7页
An explicit integration scheme for rate-dependent crystal plasticity (CP) was developed. Additive decomposition of the velocity gradient tensor into lattice and plastic parts is adopted for describing the kinematics... An explicit integration scheme for rate-dependent crystal plasticity (CP) was developed. Additive decomposition of the velocity gradient tensor into lattice and plastic parts is adopted for describing the kinematics; the Cauchy stress is calculated by using a hypo-elastic formulation, applying the Jaumann stress rate. This CP scheme has been implemented into a commercial finite element code (CPFEM). Uniaxial compression and roiling processes were simulated. The results show good accuracy and reliability of the integration scheme. The results were compared with simulations using one hyper-elastic CPFEM implementation which involves multiplicative decomposition of the deformation gradient tensor. It is found that the hypo-elastic implementation is only slightly faster and has a similar accuracy as the hyper-elastic formulation. 展开更多
关键词 crystal plasticity hypo-elasticity hyper-elasticity forward Euler integration
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