拉格朗日元法

利用拉格朗日元法（FLAC）模拟了岩样的宏观力学行为、剪切应变率异常及演化。

Anomaly in shear strain rate ( SSR ) and its evolution as well as mechanical behavior of rock in biaxial plane strain were modeled by use of FLAC .

采用拉格朗日元法，在矿柱端面上不存在水平方向摩擦力条件下，模拟了屈服矿柱的剪切带图案、渐进破坏特征、水平应力及垂直应力分布及演变。

Shear strain localization , characteristics of progressive failure , distributions of horizontal and vertical stresses within yield pillars were modeled numerically by FLAC under the condition of smooth ends in horizontal direction .

拉格朗日元法及其应用软件FLAC在边坡稳定分析中的应用

Application of Lagrangian element method and FLAC software in slope stability analysis

介绍了拉格朗日元法的原理，以及应用软件FLAC在边坡稳定性分析中的应用。

This text introduce the principle of the Lagrangian element method and the FLAC applied in analyze the stability of the slope .

确定性方法包括刚体极限平衡法、有限元法和非连续性介质力学法（包括块体单元法，界面元法，离散单元法，DDA，拉格朗日元法，流形元法）等；

And the former includes rigid body limiting equilibrium , FEM and Discrete Medium Method ( block element method , Interface Stress Element , Discrete Element Method , DDA , Lagrange Element Method , Manifold Element Method etc. ) ;

软泥岩井眼弹塑性变形的拉格朗日元法计算

Calculation of elastoplastic deformation of wellbore in soft mudstone using Lagrangian method

离散单元法同拉格朗日元法及其在岩土力学中的应用

Discrete Element Method and Lagrangian Element Method and Their Applications in Geomechanics

以拉格朗日元法对软土深基坑进行优化设计

The Optimum Design of Deep Excavation Based on LEM

介绍了数值模拟方法及其拉格朗日元法的基本原理。

Six , the basic principles of numerical simulation methods and Lagrangian are introduced .

基坑土钉支护的三维快速拉格朗日元法分析

Numerical Simulation Analysis of Excavation and Support of Foundation Pit with Three-Dimensional Fast Lagrangian Method

最后，应用拉格朗日元法对预应力锚索地梁加固的类土质边坡进行数值模拟，得出它具有普通锚固措施不能达到的优越性。

In addition , the numerical simulation of effect of similar soil slope reinforced by anchor cable beam comes to the conclusion that this technology is superior to common reinforcing measures .

采用三维拉格朗日元法，对三维岩样在单轴压缩及不同端面约束条件下，试样端面上压应力的分布及演化规律、试样的破坏过程及空间局部化区域的形态进行数值模拟研究。

Compressive stress distributions and their evolutions at upper end of specimen in uniaxial compression with different end-restraints , failure process , and spatial patterns of localized shear bands are investigated numerically using FLAC-3D .

在平面应变压缩条件下，采用拉格朗日元法对岩样的应变局部化启动、传播、形成及侧向位移特征进行了数值模拟。

Onset , propagation , formation of shear band and lateral displacement of rock specimen with a material imperfection in the form of a null element at left edge in plane strain compression were modeled numerically by FLAC .

用混合的欧拉－拉格朗日有限元法模拟体积塑性成形过程

FE simulation of bulk forming processes with a mixed Eulerian-Lagrangian formulation

模拟过程中，采用欧拉描述FVM仿真坏料流动，采用拉格朗日描述有限元法仿真模具变形和应力，采用显式动态接触算法仿真坏料与模具之间的相互作用。

During the simulation , Eulerian described FVM is used to simulate the flow of billet , Lagrangian described FEM is used to simulate the deformation and stress of mold , and explicit dynamic contact algorithm is used to simulate the counteraction between the billet and the mold .

论平移引力规范理论与广义相对论在拉格朗日表述下的等价性运用混合的欧拉一拉格朗日有限元法，可以有效地克服由于变形大而造成的单元畸变带来的困难。

On the Equivalence between the Gauge Theory of Gravity and General Relativity in the Lagrangian Formulation method is proposed to simulate bulk forming with a mixed Eulerian - lagrangian formulation .