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关于钢筋混凝土数值分析中的本构关系 总被引:17,自引:1,他引:17
本文对钢筋混凝土数值分析中的本构关系,包括混凝土的本构关系,钢筋的本构关系,钢筋与混凝土之间的粘结关系的研究现状作了介绍与评述,对今后的发展趋势发表了一些看法. 相似文献
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固体推进剂非线性拉伸行为的实验研究 总被引:1,自引:0,他引:1
固体推进剂非线性拉伸行为的实验研究王晓明,沈亚鹏(西安交通大学,710049)关键词本构关系,粘弹性,非线性,推进剂1引言Haddad(1)和杨挺青(2)对粘弹性非线性本构方程作了比较全面的综述,其中最简单,而又有利于实验确定材料常数的本构方程是其中... 相似文献
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Stokes 流问题中的辛本征解方法 总被引:8,自引:0,他引:8
通过引入哈密顿体系,将二维Stokes流问题归结为哈密顿体系下的本
征值和本征解问题. 利用辛本征解空间的完备性,建立一套封闭的求解问题方法. 研究结果
表明零本征值本征解描述了基本的流动,而非零本征值本征解则显示着端部效应影响特点.
数值算例给出了辛本征值和本征解的一些规律和具体例子. 这些数值例子说明了端部非规则
流动的衰减规律. 为研究其它问题提供了一条路径. 相似文献
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优化方法用于模型校核 总被引:2,自引:0,他引:2
在工程实际中,常常会遇到需要选择本构模型和校准参数的模型校核问题。文中采用优化方法实现了复杂模型校核的自动化。文中,首先将各种本构模型映射为整数编号,并根据这些编号来激活相应的本构模型和本构模型参数,解决了本构模型的参数化问题;另外,根据模型校核问题的特点选择了试验结果和计算结果相对误差的平方和作为目标函数。通过这些步骤,用实现了优化方法模型校核自动化。 相似文献
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实心圆轴扭转测定本构关系的概念和方法 总被引:6,自引:0,他引:6
本文提出了实心圆轴扭转试验建立有限应变本构关系(τ—γ曲线)的概念,并在文[1]工作的基础上完成了通过实心圆轴扭转试验建立文献[6]形式的有限应变本构关系的方法,它比单向拉伸试验所得到的本构关系更为精确,因拉伸实验变形较大时试件伸长和变细对测量结果有影响,尤其在“颈缩”后,很难对有关力学量作有效测量和分析,扭转本构关系的描绘也更为完整,以低碳钢为例,扭转本构关系所描述的有效范围比拉伸本构关系大十余倍,本文方法将有利于探讨研究更大应变下的材料力学行为。 相似文献
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固体力学研究者致力于具有应力-应变本构关系(以下简称为形变型本构关系)的变形体的力学响应研究,而流体力学研究者致力于具有应力-应变率本构关系(以下简称为流动型本构关系)的流动体的力学响应研究。当涉及结构和材料的动态塑性时,到底应该用“塑性变形”还是“塑性流动”来表示?本文从宏观塑性本构理论和微观位错动力学机理两个角度,分别讨论并指出塑性本构关系属于流动型黏塑性率相关本构关系,且同时适用于加载和卸载;因而不应该用应力-应变图来描述塑性加-卸载过程。弹塑性本构关系则是一种形变型和流动型本构关系的耦合。 相似文献
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从余能密度出发,以不变量理论为工具,导出了非线性超弹性正交各向异性材料本构关系的一般形式,提出了一个以波传播理论为基础的测定材料非线性本构关系参数的新方法,并用这种波动实验方法具体测定了玻璃纤维增强复合材料的非线性动态本构关系参数。 相似文献
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In this paper, we present the solution of the Klein--Gordon equation. Klein--Gordon equation is the relativistic version of the Schrödinger equation, which is used to describe spinless particles. The He’s variational iteration method (VIM) is implemented to give approximate and analytical solutions for this equation. The variational iteration method is based on the incorporation of a general Lagrange multiplier in the construction of correction functional for the equation. Application of variational iteration technique to this problem shows rapid convergence of the sequence constructed by this method to the exact solution. Moreover, this technique reduces the volume of calculations by avoiding discretization of the variables, linearization or small perturbations. 相似文献
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In this paper, a new Lorenz-like chaotic system describing the interaction of three resonantly coupled waves in plasma is studied. Explicit ultimate boundedness and global attraction domain are derived according to stability theory of dynamical systems. The innovation of the paper is that this paper not only proves this chaotic system is globally bounded for the parameters of this system but also gives a family of mathematical expressions of global exponential attractive sets for this system with respect to the parameters of this system. Furthermore, the exponential rate of the trajectories is also obtained. Finally, numerical localization of attractor is presented. 相似文献
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反扰力振动控制理论及其在井塔消振中的应用 总被引:1,自引:0,他引:1
应用反扰力振动控制方法,通过施加一个与原扰力在相位上相反的控制力,来抵消原扰力对结构的影响。此法用于实际的矿井井塔建筑结构消振工程,取得了消振90%以上的显著效果,从而证实了此法的正确性和有效性。此法在动力荷载扰力作用下的建筑结构振动控制工程中,具有重要的应用价值 相似文献
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Optimal control theory is used to study the asymptotic behaviour of elasto-viscoplastic structures under cyclic loading. With this approach, the asymptotic state is found as the solution of a minimization problem. General properties of this method are established. A simple thermomechanical problem is studied to illustrate and validate this approach. An interest of the proposed method lies in its capacity to handle other nonlinearities than plasticity. To illustrate this point, the approach is extended to the coupled viscoplasticity/frictionless contact problem. Some numerical results are given for an elasto-viscoplastic half-plane under cyclic frictionless indentation. 相似文献
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本文首先简要介绍Bcklund变换理论的发展过程,然后介绍一种寻找微分方程Bcklund变换的新方法——wahlquist-Estabrook过程。该方法是目前处理微分方程Bcklund问题的最有效方法.尽管该方法在理论上可应用于任意维数的偏微分方程组,但是实际上它所能处理的主要是二维问题。例如,在应用该方法处理完整Navicr-Stokcs方程(四维问题)时,所得到的是无意义结果.但是,在应用该方法处理定常二维Navicr-Stokcs方程时,确实可以得到正常的Bcklund映射,以及Bcklund变换. 相似文献
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Stability analysis in the framework of fluid dynamics is often expressed in terms of a complex eigenvalue problem (EVP). The solution of this EVP describes underlying flow features and their stability characteristics. The main shortcoming of this approach is the high computational cost necessary to solve the EVP, limiting the applicability of this analysis to simple two-dimensional configurations. Many efforts have been focused on overcoming this limitation. Reducing the computational domain to encompass only those regions of physical interest may help alleviate the computational cost. However, the accuracy of the eigenmodes recovered from a reduced region needs to be carefully assessed. In this work, an in-depth analysis of the domain reduction (DR) strategy is presented, and an error estimation tool is provided. The applicability and limitations of this methodology are studied on the open-cavity problem. Next, the error estimation tool is exploited in the transonic buffet phenomenon on a NACA 0012 profile, giving valuable recommendations for the best use of this methodology. Finally, the DR strategy has been applied to investigate the asymmetries induced by jet cooling of turbine blades. 相似文献
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润滑力学中非牛顿流动的普遍Reynolds方程 总被引:5,自引:0,他引:5
本文导出了润滑力学中关于非牛顿流动的普遍 Reynolds 方程。这一方程适用于多种非牛顿流动模型,可以用于解算热流体动力润滑或热弹性流体动力润滑膜的压力分布。本文给出了一种同时求出剪应力、剪切率、速度和等效粘度的解法,并以两种润滑力学中常用的流变模型为例,应用这一方程得到了线接触热弹性流体动力润滑问题的数值解。 相似文献
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In this paper we suggest a new phenomenological material model for shape memory alloys. In contrast to many earlier concepts of this kind the present approach includes arbitrarily large deformations. The work is motivated by the requirement, also expressed by regulatory agencies, to carry out finite element simulations of NiTi stents. Depending on the quality of the numerical results it is possible to circumvent, at least partially, expensive experimental investigations. Stent structures are usually designed to significantly reduce their diameter during the insertion into a catheter. Thereby large rotations combined with moderate and large strains occur. In this process an agreement of numerical and experimental results is often hard to achieve. One of the reasons for this discrepancy is the use of unrealistic material models which mostly rely on the assumption of small strains. In the present paper we derive a new constitutive model which is no longer limited in this way. Further its efficient implementation into a finite element formulation is shown. One of the key issues in this regard is to fulfil “inelastic” incompressibility in each time increment. Here we suggest a new kind of exponential map where the exponential function is suitably computed by means of the spectral decomposition. A series expansion is completely avoided. Finite element simulations of stent structures show that the new concept is well appropriate to demanding finite element analyses as they occur in practically relevant problems. 相似文献