连续介质

首先介绍了采用Lagrange有限元离散连续介质力学守恒方程的基本思想和计算步骤。

First , the basic idea of the discretization method of conservation equations in continuum mechanics with Lagrange Finite Element Method and the flowchart of computations are described .

Hamaker微观连续介质理论的数字密度和Hamaker常数分析

Digital Density in Hamaker Micro Continuum Medium Principle and Hamaker Constant

连续介质变起始速度V0的方法

Method for altering the initial velocity v_0 of continuous medium

~（221）Ac核裂变及转动态的连续介质模型计算

Calculation of fission and rotating states of ￣( 221 ) Acusing continuous medium model

岩体特征单元体REV（RepresentativeElementaryVolume）是连续介质力学的一个重要概念。

The REV ( Representative Elementary Volume ) of rock mass is an important concept of continuum mechanics .

着重介绍了非连续介质模型中的离散元法（DEM）：硬球模型和软球模型。

The discrete element method ( DEM ) is introduced , which includes hard sphere model and soft sphere model .

基于连续介质力学理论，提出了直接利用GPS测量资料建立地壳运动与形变模型的方法。

Based on the theory of continuous medium mechanics , a method of establishing the model of crustal movement and deformation is presented completely with GPS data in this paper .

颗粒模型和连续介质模型对比，更能反映MIM喂料的特点。

Granular model can better reflect the characteristics of feedstock of MIM than continuum model .

本文基于连续介质力学（CDM），提出了延性损伤演化的统一模型。

Based on the continuum damage mechanics ( CDM ), a unified model of ductile damage evolution is proposed .

DDA方法是近年来发展起来的一种分析不连续介质力学的崭新的岩土工程数值模拟方法。

The DDA ( discontinuous deformation analysis ) method is a new numerical simulation technique of geotechnical engineering .

利用非线性连续介质力学的方法推导了汽车钢板弹簧大变形问题的Lagrange型动力学方程和边界条件，并根据其工作特点对方程进行简化，从而建立了汽车钢板弹簧在大变形下的理论模型。

In this paper , Lagrange 's type of dynamics equations and boundary conditions for large deformation of automobile steel plate spring are deduced by using the nonlinear continuum mechanics method .

应用拟连续介质、Darcy定律和岩体裂隙网络的随机模拟对裂隙岩体堵水的注浆参数进行了解算。

This paper , resolves the injecting parameters of ponding the cracked rocks using imitate continuous medium , Darcy law and random simulate of rocks ' crack network .

本课题组以前已把用有限差分方法求解PB方程的方法与随机动力学相结合，得到FDSD模拟程序，FDSD模拟方法在动力学模拟过程中把大量的水分子代之以连续介质。

We use a finite difference method to solve PB equation and incorporate the solution into SD simulation , which is called as FD SD simulation procedure and developed by our group before .

由于有限元方法只能描述连续介质，因此对于断裂破坏阶段，NDM模拟载荷大于试验结果，DM的载荷小于试验结果，这是由高应变速率敏感性造成。

During rupturing process , force results calculated by DM are higher and lower by NDM than experimental ones due to higher strain rate sensitivity .

利用连续介质损伤力学方法，通过岩石微元体强度的Weibull统计分布和库仑准则假定，建立了一个简明的岩石三维各向同性损伤模型及弹脆性本构方程。

A single , effective damage model and constitutive equation , which based on the assumption of rock microelement strength Weibull distribution and Coulomb criterion , were presented through Continuum Damage Mechanics method .

根据各向同性连续介质中的弹性应力场和Mises屈服准则，计算出直Volterra位错芯屈服区的二维几何构型。

According to the elastic stress field in the isotropic medium and Mises yield rule , the configuration of yield zone for the straight Volterra dislocation core was calculated .

采用超分子-连续介质（PCM）模型，在密度泛函B3LYP/6-311++G水平上对水溶液中亚硝基甲烷异构化反应的机理进行了理论研究。

The mechanism of the tautomerization of nitromethane to formaldoxime in aqueous solution has been investigated at the level of B3LYP / 6-311 + + G using the supramolecular / continuum model .

无网格伽辽金法（EFG）由于其近似函数的特殊性很难处理本质边界条件以及不连续介质边界条件。

Element free Galerkin method ( EFG ) is hard to handle nature boundary condition and the discontinuous medium boundary condition because of its special approximate function .

用线弹性断裂力学对连续介质中三维裂纹（K（Ⅲ）≠0）破裂的拉应力断裂准则提出了补充性假说和相应的计算方法（第一主微分面定点法）。

The normal stress criterion of three-dimensional brittle fracture ( Km ≠ 0 ) of continuum medium is further studied by using the theory of linear elastic fracture mechanics . Some complementary assumptions and the corresponding calculation method ( method of locating principal differential planes ) are proposed .

本文对现有的光滑粒子动力学方法进行了综述，介绍了该方法的理论基础、连续介质守恒方程、方法稳定性的改善等，重点阐述了边界条件的处理，并给出了SPH方法的算例。

In this paper , the fundamental theory of SPH , the conservation equation of continuum mechanics , and the improvement of stability are introduced . Then boundary condition is emphasized .

根据连续介质力学基本理论，针对大跨度钢桁梁柔性拱桥在变形、失稳破坏期间产生的材料和几何非线性特性，用通用软件ANSYS建立桥梁的空间模型。

According to the basic theory of continuum mechanics and considering the nonlinear characteristics of material and geometric during its deformation and instability for long-span flexible arch bridge with steel truss beam , the spatial model of the bridge was established by a general-purpose software ANSYS .

将这一系综看作连续介质的概率流体，给出其动力学描述，并以SU（1.1）线性非自洽量子系统为例进行具体讨论。

Then the ensemble is considered as the probability fluid of continuous meson , and the dynamics description of the probability fluid is given and specific discussions are made taking the linear nonautonomous dynamics system with SU ( 1.1 ) as example .

其中，通道直径的范围包括连续介质区、滑移区和过渡区，对比分析Kn数对流体速度分布的影响。

The scope of channel diameter involves the continuous media zone , slip zone and the transition zone . Then we can contrast and analysis the affect of Kn to the fluid velocity distribution .

基于等效连续介质模型，先应用Taylor展开法分析裂隙岩体渗透性的随机性与裂隙基本几何参数随机性的关系，然后用一阶Taylor展开随机有限元法分析裂隙岩体渗流场的随机性。

Based on the equivalent continuum model , the relationship between the stochastic level of permeability of rock masses and that of basic geometric parameters of joints is analyzed by Taylor series method , and the stochastic level of the seepage field is analyzed .

并得到Hamaker微观连续介质理论仅在间距大于7倍的原子半径时才成立的结论.通过分析Hamaker常数，发现Hamaker常数也随间距变化。

It is shown that the Hamaker 's micro continuum medium principle is held only as the interaction distance 7 times greater than the atomic radius .

材料的本构模型是进行CAE分析的关键，为此，在Ogden不可压缩应变能函数的基础上，利用连续介质力学理论，推导了可压缩海绵橡胶材料的应变能密度函数。

Constitutive model of the material is a key to CAE ( Computer Aided Engineering ) . Using the theory of continuum mechanics , strain energy density function of sponge rubber material is founded based on Ogden model .

基于连续介质力学、Euler-Bernoulli假设和压电理论，在考虑直流电作用下，建立了考虑表面能效应时的压电纳米线的非线性静动力学控制方程。

Based on continuum mechanics theory and Euler-Bernoulli hypothesis , when a direct current ( DA ) voltage is applied , the nonlinear governing equations of piezoelectric nanowires considering surface effects are established .

该方法基于一个独特而精确的溶剂化理论模型，文献中称之为完全极化的连续介质模型（FPCM）。

Our solvation model is known as Fully Polarizable Continuum Model ( FPCM , i.e. Fully Polarizable Continuum Model ) in literature .

应用三节点的索单元离散缆索，通过虚功原理和非线性连续介质力学，得到计算缆索在大变形条件下的非线性刚度阵，通过Newmark法和mN-R法得到缆索的张力.位移关系。

The non-linear tension-displacement response is calculated by Newmark method and mN-R method after the non-linear stiffness matrix of large deformation cables is derived by the principle of virtual work and non-linear continuous medium mechanics .

本文主要研究了典型复合材料飞机结构修理设计的分析方法。首先，本文建立了基于连续介质损伤力学（CDM）的复合材料层合板渐进损伤分析三维有限元模型。

This paper mainly studied the analysis me-thod of the typical aircraft composite structure repair . Firstly , a three-dimensional ( 3D ) finite element model ( FEM ) of composite laminates progressive damage analysis ( PDA ) has been established based on continuum damage mechanism ( CDM ) .