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Based on the Dugdale model for the surface adhesive interaction, a generalized M-D model is derived for an arbitrary effective surface profile.

考虑任意有效的表面形状(要求中心部分首先进入接触)和任意的表面吸附作用，推广得到了广义Maugis模型。

Extended the semi-analytical finite element method into the Dugdale model of elastic-plastic fracture mechanics, the analytical elements based on the Dugdale model of mode Ⅰ and mode Ⅱ crack are constructed. The formulas for the stiffness matrices and load vectors of analytical elements are deduced.

将上面的半解析有限元法应用于弹塑性断裂力学中的Dugdale模型，分别构造了基于Ⅰ型和Ⅱ型Dugdale模型的裂纹解析元，并建立了解析单元的出口刚度阵和荷载向量的列式。

Utilizing plane sectorial domain Hamilton system function via variable substitutes and eigenfunction expansion method, an analytical element is proposed in this paper for the crack analysis of reinforced concrete structures combining the bridging model and Dugdale model. Combined with finite element, nolinear crack problems of reinforced concrete structure can be analyzed.

利用平面扇形域哈密顿体系方程，通过分离变量法及共轭辛本征函数向量展开法，结合Dugdale模型和桥联力模型，推导了钢筋混凝土结构裂纹尖端的解析元列式，将此解析元与普通有限元结合，可用于分析钢筋混凝土的非线性断裂问题。

In this paper, a method is proposed to estimate the plastic zone size, by extending the Dugdale model to three dimensional (3D) crack problems and the crack opening displacement at the tip of a sptatial penny shaped crack by combining the Barenblatt Dugdale model with the principle of 3D J integral, then the relationship between J integral and COD is obtained.

将Dugdale模型推广到三维裂纹问题计算了圆盘状裂纹前缘塑性区尺寸，并结合断裂力学中的Barenblat－Dugdale裂纹模型和三维J－积分原理计算了圆盘状裂纹前缘张开位移，得到了J－积分与裂纹张开位移的关系。

Secondly,concerning Kolmogorov model and generalized Kolmogorov model with variable harvesting rate,this paper utilizes Dulac function to judge the existence of the close path curve,Bendixson cycle region to judge the direction of path curve,and constructs Lyapunov function to judge the global stability,in order to fit the general models.

对于三维种群模型，讨论了一类具有功能性反应的三种群模型在具有收获率的条件下的定性性质。

On this assummption, this paper builds a duopoly game model with heterogeneous expectations, and analyzes the model.

在此假设下，本文建立了不同理性双寡头博弈模型，并时其进行了定性分析。

Content of dust aerosols in desert regions were based on the combined effect of sand model and dust devil- convective plume model, and the latter might be more important.

这表明沙尘暴起沙模型和尘卷风与干热对流的联合起沙模型互为补充，沙漠地区上空的沙尘气溶胶含量是它们共同作用的结果，而由太阳辐射引发的尘卷风与干热对流较沙尘暴过程更为重要。

DUX model 1953 submachine guns used Suomi -type 50-round 4-stack box magazines, while DUX Model 1959 used proprietary curved box magazines with 32 or 40 rounds capacity.

1953年的DUX模型冲锋枪用芬兰语型50轮4叠箱杂志，而1959年的DUX模型使用或40发容量的专有曲线箱梁杂志32。

This paper analyzed conveyor belt dynamic propertie s which would influence the results of dynamic design of belt conveyor,common dyn amic model was introduced,and the rule about how to choose dynamic model when de sign was put forward.

文摘：对影响带式输送机动态设计结果的输送带的动力学特性进行了分析，介绍了常见输送带的动力学模型，并指出在带式输送机动态设计中输送带动力学模型的选取原则。

If this electro-mechanical dynamic model combined with friction model, we can estimate the performance of motor, realize the design, simulation completely by computer.

结合电机的摩擦模型，可预估出电机的性能，可实现该类型电机的设计、仿真一体化。

He paid $5,000 for this cupcake.

他我这个纸杯蛋糕花了5000美元。

I mean, if you want to, that is

我的意思是，如果你们想吃的话。