The role of non‐coaxiality in the simulation of strain localization based on classical and Cosserat continua          下载免费PDF全文

J. Chang  X. Chu  Y. Xu 《国际地质力学数值与分析法杂志》2017,41(3):382-399

It is normally accepted that materials inside the shear band undergo severe rotation of the principal stress direction, which causes non‐coaxiality between the principal stress and principal plastic strain rate. However, classical plasticity flow theory implicitly assumes that the principal stress and the principal plastic strain rate are coaxial; thus, it may not correctly predict the onset of the shear band. In addition, classical continuum does not contain any internal length scales; as a result, it cannot provide a reasonable shear band thickness. In this study, the original vertex non‐coaxial plastic model based on the classical continuum is extended to the Cosserat continuum. The corresponding codes are implemented via the interface of the user defined element subroutine in ABAQUS. Through a simple shear test, the effectiveness of the user's codes is verified. Through a uniaxial compression test, the influence of non‐coaxiality on the onset, the orientation, and the thickness of the shear band is investigated. Results show that the onset of the shear localization is delayed, and the thickness of the shear band is widened when the non‐coaxial degree increases, while the orientation of the shear band is little affected by the non‐coaxial degree. In addition, it is found that the non‐coaxiality can weaken the micro‐polar effect to some extent; nonetheless, the Cosserat non‐coaxial model still has its advantage over the classical non‐coaxial model in capturing the pre‐bifurcation as well as the post‐bifurcation behaviors of strain localization. Copyright © 2016 John Wiley & Sons, Ltd.  相似文献   

一个三维生化反应竞争模型的非线性振荡     

黄迅成  许晓宁 《广东海洋大学学报》2007,27(1):59-61

在微生物培养的过程中,有时会产生一些振荡现象,这种现象对应了有关数学模型中的极限环的存在性。本文中心流定理证明了一类两个微生物竞争一个具有再生功能营养物的生化模型的Hopf分支以及极限环的存在性,证明了在这一类的生化培养中非线性振荡现象同样存在。  相似文献   

非对称双环神经网络系统的稳定性和Hopf分岔     

周帅  肖敏  邢蕊桃  张跃中  程尊水 《南京气象学院学报》2019,11(4):446-452

环型结构在神经网络中普遍存在,目前对环型神经动力学分岔研究大多数局限于单环情形.值得注意的是,神经网络由成千上万个神经元耦合而成,这些复杂的神经元网络结构不可能只由一个环形结构来准确表述,因此研究具多环拓扑的神经网络模型更具实际意义.本文提出了一种非对称双环神经元网络模型,选择单环的时滞和为分岔参数,分析了双环模型的稳定性和Hopf分岔.最后给出数值仿真对结论进行了验证.  相似文献   

地幔蠕动流中一类复杂动力学现象   总被引：1，自引：0，他引：1  

董军  赖健清  彭省临 《大地构造与成矿学》2001,25(3):259-264

从流体力学基本理论出发,在地幔蠕动及热能聚散假说的指导下,考虑地幔蠕动物质在垂直磁场作用下,数学模型方程中所表现出来的复杂动力学现象,并从成矿动力学的角度进行了讨论。  相似文献   

On the Behavior of the Stable Boundary Layer and the Role of Initial Conditions     

Xingzhong Shi  Richard T. McNider  M. P. Singh  David E. England  Mark J. Friedman  William M. Lapenta  William B. Norris 《Pure and Applied Geophysics》2005,162(10):1811-1829

Previous studies of the stable atmospheric boundary layer using techniques of nonlinear dynamical systems (MCNIDER et al., 1995) have shown that the equations support multiple solutions in certain parameter spaces. When geostrophic speed is used as a bifurcation parameter, two stable equilibria are found—a warm solution corresponding to the high-wind regime where the surface layer of the atmosphere stays coupled to the outer layer, and a cold solution corresponding to the low-wind, decoupled case. Between the stable equilibria is an unstable region where multiple solutions exist. The bifurcation diagram is a classic S shape with the foldback region showing the multiple solutions. These studies were carried out using a simple two-layer model of the atmosphere with a fairly complete surface energy budget. This allowed the dynamical analysis to be carried out on a coupled set of four ordinary differential equations. The present paper extends this work by examining additional bifurcation parameters and, more importantly, analyzing a set of partial differential equations with full vertical dependence. Simple mathematical representations of classical problems in dynamical analysis often exhibit interesting behavior, such as multiple solutions, that is not retained in the behavior of more complete representations. In the present case the S-shaped bifurcation diagram remains with only slight variations from the two-layer model. For the parameter space in the foldback region, the evolution of the boundary layer may be dramatically affected by the initial conditions at sunset. An eigenvalue analysis carried out to determine whether the system might support pure limit-cycle behavior showed that purely complex eigenvalues are not found. Thus, any cyclic behavior is likely to be transient.  相似文献   

CHAOTIC OUTPUT OF SST FLUCTUATION STOCHASTIC MODEL WITH GIVEN PARAMETERS     

严绍瑾  彭永清 《热带气象学报(英文版)》1996,2(1):86-90

Starting from the Saltzman's air-sea stochastic climatic model, we have derived a langevin-type equation describing SST fluctuation and the related pokker-Plank expression, which were then numerically solved with parameters given, yielding the probability density curve P(x, t) of multiple bifurcations, with the Cantor set of images given in phase space of P(x, t) and P(x, t+τ), thereby indicating that chaotic output comes from the random system under the conditions of the above parameters.  相似文献   

矿井开采中的非线性动力学特性     

代高飞  尹光志  皮文丽  李东伟 《岩土力学》2003,(Z2)

采用现代非线性科学中的分叉、混沌、分形和自组织理论,对矿井开采过程中的典型动力学现象进行了研究,分析了这些现象的非线性机制,指出了矿井开采系统中的非线性动力学行为,对矿井灾害的防治和指导矿井采掘活动具有积极意义。  相似文献   

Along‐strike structural linkage and interaction in an active thrust fault system: A case study from the western Sichuan foreland basin,China     

Gonghua Song  Maomao Wang  Danqi Jiang  Zhuxin Chen  Bing Yan  Wang Feng 《Basin Research》2021,33(1):210-226

Along‐strike structural linkage and interaction between faults is common in various compressional settings worldwide. Understanding the kinematic history of fault interaction processes can provide important constraints on the geometry and evolution of the lateral growth of segmented faults in the fold‐and‐thrust belts, which are important to seismic hazard assessment and hydrocarbon trap development. In this study, we study lateral structural geometry (fault displacement and horizon shortening) of thrust fault linkages and interactions along the Qiongxi anticline in the western Sichuan foreland basin, China, using a high‐resolution 3D seismic reflection dataset. Seismic interpretation suggests that the Qiongxi anticline can be related to three west‐dipping, hard‐linked thrust fault segments that sole onto a regional shallow detachment. Results reveal that the lateral linkage of fault segments limited their development, affecting the along‐strike fault displacement distributions. A deficit between shortening and displacement is observed to increase in linkage zones where complex structural processes occur, such as fault surface bifurcation and secondary faulting, demonstrating the effect of fault linkage process on structural deformation within a thrust array. The distribution of the geometrical characteristics shows that thrust fault development in the area can be described by both the isolated fault model and the coherent fault model. Our measurements show that new fault surfaces bifurcate from the main thrust ramp, which influences both strain distribution in the relay zone and along‐strike fault slip distribution. This work fully describes the geometric and kinematic characteristics of lateral thrust fault linkage, and may provide insights into seismic interpretation strategies in other complex fault transfer zones.  相似文献   

海洋浮游生态系统模型的稳态非线性动力学研究     

王洪礼  沈宇航  葛根 《海洋通报》2009,28(5)

以Logistic模型为基础,考虑捕捞行为及其所造成的污染对浮游生物的削弱作用,并考虑浮游生态系统具有一定的自净能力,建立了一个新的海洋浮游生态系统非线性动力学模型。分析了模型的非线性动力学特性,并得出了模型的稳定性条件和发生Hopf分岔条件,在此基础上,深入分析了捕捞强度参数的变化对系统稳态的影响,并且用数值模拟验证了理论分析结果的正确性。  相似文献   

钱塘江河势变迁与径潮流相互作用研究     

陈茁  李薇  胡鹏  贺治国 《海洋工程》2022,40(1):149-159

基于平面二维水沙床耦合地貌模型,反演了1958年1月至1964年12月连续枯水年期间钱塘江尖山河段的主槽摆动过程,揭示了河势由顺直到弯曲的主要演变规律和内在机制.结果表明,在低径流和强潮流作用下,丰水年形成的北部落潮槽逐渐淤积形成浅滩,南部涨潮槽冲刷发展形成南、北两支,两槽间江心滩发育壮大,形成弯曲河势.河床冲淤主要集中在前两年内,潮汐周期内涨潮初期冲刷、涨憩和落潮初期淤积,区域淤积泥沙主要来源于下游杭州湾,北槽前期淤积为落潮型淤积,后期为涨潮型淤积.河势变化使得区域潮差增大潮动力增强,南槽涨落潮流速显著增大.顺直河势下,江心滩南北两侧分流比差异不大,涨潮期间南侧略高、落潮期间北槽略高.弯曲河势下,南槽水深和纳潮量增加,涨、落潮分流比均显著增大至75％以上.  相似文献