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反应-扩散logistic模型前向欧拉法的数值Hopf分支
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作者 柳雪阳 王琦 《佛山科学技术学院学报(自然科学版)》 CAS 2024年第3期74-80,共7页
利用前向欧拉法研究具有二阶混合时滞和瞬时密度制约的logistic反应扩散种群模型,并对其数值离散系统的动力学问题进行分析。随着时滞的增加,证明了在正平衡点处出现了一系列Hopf分支,分析了不动点的稳定性。最后,通过数值模拟验证理论... 利用前向欧拉法研究具有二阶混合时滞和瞬时密度制约的logistic反应扩散种群模型,并对其数值离散系统的动力学问题进行分析。随着时滞的增加,证明了在正平衡点处出现了一系列Hopf分支,分析了不动点的稳定性。最后,通过数值模拟验证理论结果的正确性。 展开更多
关键词 前向欧拉法 反应-扩散logistic模型 HOPF分支 稳定性
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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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