Modeling 3D surface topography by finite-difference method: Kobe-JMA Station Site, Japan, Case Study

Abstract The analysis of the failure due to the effect of the propagation of normal and reversed faults with different angles of inclination and by sliding through the Ourkiss dam isstudied numerically. Mainly at the end of construction and at the highest water level, for this purpose the non-linear finite difference method is used considering four fault angles of inclination, activated at the center of the base of the embankment.The results of the study show that the shear stress values increase with the increase of the vertical base displacement imposed in both conditions of the dam state, and this for both normal and overturned faults.

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Calculation on the Internal Force of Deeply Buried Anti-Slide Pile by Using Finite Difference Method Based on the m-k Type Method

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.130-134.128 ◽

2011 ◽

Vol 130-134 ◽

pp. 128-134 ◽

Cited By ~ 1

Author(s):

Qiu Yan Fan ◽

Mei Qian Wang ◽

Sheng Cai Xu

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Solution Process ◽

Step Length ◽

Internal Force ◽

Power Series Method ◽

Type Method ◽

New Type

In the past, when used the foundation coefficient to calculate the internal force of anti-slide pile, power series method is usually adopted. The deformation compatibility conditions and continuity conditions of sliding surface between non-anchoring section and anchoring section are exploited to determine the final result, causing the lengthy solution process and that there is no guarantee for the calculation accuracy. This paper uses the foundation coefficient method in the calculation of internal force of anti-slide pile and employs the “m-k” method with a more complicated up-down foundation structure to get the finite difference equation to determine the new-type deeply buried anti-slide pile displacement and internal force. Then the calculation on the internal force and displacement of the whole pile can be realized easily through the procedure method. Finally, this paper makes a contrastive analysis on the result of the finite difference method and finite element calculation through the case study. As long as the equal differential step length is small enough, the calculation accuracy can meet the demand of engineer design and the program graph processing result can optimize the design of anti-slide pile.

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Determination of the efforts in two-way slabs of concrete through the finite difference method

Revista Ingenio ◽

10.22463/2011642x.2662 ◽

2021 ◽

Vol 18 (1) ◽

pp. 25-32

Author(s):

Carlos Valbson Dos Santos Araújo ◽

João Paulo Matos Xavier ◽

Robson Lopes Pereira

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Good Alternative ◽

Concrete Plate ◽

Classic Solution ◽

The Finite Difference Method ◽

Support Conditions

From the implementation of analytical solutions for thin rectangular slabs using the Finite Difference Method, the present paper was developed with the purpose of comparing the determined efforts in a concrete plate with those that would be found using the tables originated from the plates theory of authors established in the literature. For this, the programming language Python was used, taking as a case study, a slab with dimensions of 5 meters long by 3 meters wide and thickness equal to 0.10 meters. In the analysis of the efforts, several support conditions were considered, in which the internal efforts and displacements obtained by the Finite Difference Method were compared with the results obtained through the tables proposed in literature. It was verified that the Finite Difference Method constitutes a good alternative for the resolution of thin solid plates, since the results were similar to the classic solution proposed in literature. The implemented program allows the visualization of the efforts through of spectrums of zone which facilitates the understanding of the distribution of the efforts along the slab, differing slightly from the uniform distribution adopted in the tables consulted.

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