查询词典 explicit difference scheme

First, based on the relations of stress and strain between the whole medium and its macroscopically isotropic constituents, an explicit relation between elastic matrices of the whole medium and its constituents was derived. Combining the explicit relation of elastic matrices with the strain's relation, two coefficient tensors were defined and analyzed to get a general relation between the hulk and shear modulus of the whole medium under the assumption that all the field variables are in a unified coordinate system. Secondly, combining these relations with the classical Hashin-Shtrikman elastic modulus bounds, four new expressions of elastic medium of the whole medium were obtained and compared with the original hounds. Last, these formulae were applied in the computation of effective elastic moduli of clean sandstone saturated with pore water.

首先基于整体介质与宏观各向同性组分满足的应力和应变组分关系，推导出整体介质弹性矩阵与组分弹性矩阵之间的显式关系，联合其应变关系，定义和分析了对应的两个系数张童，并据此导出了相关场变量位于统一坐标系时整体介质体积模量与剪切模量的关系；然后将经典的Hashin-Shtrikman弹性模量边界模型与上述关系式结合，得到4个新的整体介质弹性模量的估算公式，再与原始的Hashin-Shtrikman弹性模量边界进行了比较，最后针对饱和水纯净砂岩介质进行了试算。

The explicit solution of the strain energy release rate of crack propagation along the pure bend sandwich beam specimen has been deduced in the paper by use of the superposition principle of the energy and section inversion method. Based on the critical load of crack propagation along the interface through the testing measurement, the fracture toughness of four-point bending Si3N4/Al/Si3N4 specimens along Si3N4/Al diffusion joining interface has been obtained by using the explicit solution.

利用能量的叠加原理和截面转换方法，本文导出了纯弯曲Sandwich梁试样界面裂纹扩展应变能释放率的显式解，并根据实验测得的界面裂纹扩展的临界载荷，用其计算出了四点弯曲Si3N4/Al/Si3N4试样Si3N4/Al扩散连接界面的断裂韧度。

We examine the super compact symmetric finite difference scheme and compare it with traditional difference methods and compact difference methods.

0引言在流体动力学领域，很多物理现象，如湍流，其空间和时间的尺度变化剧烈，要正确模拟这类问题需要高精度方法。

Because the equation is a various coefficients second-order parabolical partial differential equation,explicit difference formats usually have high condition for stability. Implicit difference formats have good stability,but they must calculate a set of algebraic equations,which are too complex.

由于泥沙扩散方程是一个二维变系数的抛物型方程，对于多维的方程，显格式往往稳定性要求很高，而隐格式虽然稳定性较好，但它要解大型的代数方程组，工作量也非常大，为了克服这两种格式的不足，常用ADI法求解，但仍存在一些计算量偏大等不足之处，因此构造出更好的差分格式是有必要的。

FLAC~(3D) is for the analysis of the Lagrange explicit finite difference procedure for the timely steps to solve the dynamic relaxation, for when the difference method based on the show, less memory, faster solution. This paper discusses the usage of model FLAC create certainty and mixed model approach and to a dam seepage stability analysis as the research object, the establishment of a certainty piezometric level model, and further establish hybrid model, and the permeability coefficient for inversion analysis.

本文探讨了利用FLAC建立确定性模型和混合模型的方法，并以某土坝渗流稳定分析为研究对象，建立了测压管水位的确定性模型，进一步建立混合模型。

Then, a self-certified anonymous proxy signature scheme based on the view of self-certified public key policy and the scheme of anonymous proxy signature are proposed. The proposed scheme not only lightens the burden of verifier, but also has characteristics such as anonymousness and trackability.

然后，结合自证明公钥体制和匿名代理签名，设计出一种自证明匿名代理签名方案，此方案不仅能减轻验证者的负担，还具有匿名性和可跟踪性的特点。

Although the Preissman scheme of KP equation is multisymplectic, it took too efforts to realize, Hence we elimate the auxiliary variable by a trivial computation and obtained the multisymplectic forty-five points scheme of KP equation. And then, we test this forty-five points scheme on soliton and solitary waves over long time intervals, the numerical results shows the propagation and interact of soliton and solitary waves.

但是在实际的数值实验中，由于需要计算共轭动量的值，Preissman格式需要占用的计算内存比较大，计算时间比较长，因此我们在数值格式中消去共轭动量，最后得到与多辛Preissman格式等价的一个多辛45点格式，我们用这个格式进行了数值实验，数值实验结果很好地显示了孤立子和孤立波的传播与碰撞。

A second order accurate, high resolution scheme, called WSUC scheme, has been proposed. This scheme is total variation bounded and unconditionally stable in the sense of convective numeral stability.

提出了一种具有二阶空间精度的WSUC格式，对它的精度、总变差有界性和对流的数值稳定性进行了分析。

The distributive signature and cheat-proof secret sharing scheme are used during the course of the signature in this scheme. Compared with recent RSA digital signature,this scheme has a higher security.

该方案在签名过程中溶入了部分签名和防欺骗的秘密共享方案，相比于现有的RSA签名方案，该方案具有更高的安全性。

The detailed analyzed and simulating of focusing error signal of optical pickup based on oblique parallel plate glass was carried out. The new scheme for generating focusing error signal based double reflection plane BSP was proposed. As a result, the structure of optical pickup was simplified, and the cost of optical pickup was reduced. The scheme was not reported in domestic and international literature formerly. Now, author obtained the patent on this scheme.

作者对采用倾斜平板玻璃进行误差信号的提取方案进行了详细的理论分析和模拟，并提出采用双反射面BSP进行聚焦误差信号的提取，该方案可以简化光学读取头的结构，并降低光学读取头的成本，该方案未见国内外报道，目前已经获得专利。

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样