scholarly journals The Single-vector and Multi-vector Mixed Compressed Storage of Tangent Matrix

Author(s):  
Wenjiao Da ◽  
Xiuli Wang ◽  
Jing Wen ◽  
Han Zhang
2021 ◽  
Vol 11 (10) ◽  
pp. 4637
Author(s):  
Gildas Yaovi Amouzou ◽  
Azzeddine Soulaïmani

Two numerical algorithms for solving elastoplastic problems with the finite element method are presented. The first deals with the implementation of the return mapping algorithm and is based on a fixed-point algorithm. This method rewrites the system of elastoplasticity non-linear equations in a form adapted to the fixed-point method. The second algorithm relates to the computation of the elastoplastic consistent tangent matrix using a simple finite difference scheme. A first validation is performed on a nonlinear bar problem. The results obtained show that both numerical algorithms are very efficient and yield the exact solution. The proposed algorithms are applied to a two-dimensional rockfill dam loaded in plane strain. The elastoplastic tangent matrix is calculated by using the finite difference scheme for Mohr–Coulomb’s constitutive law. The results obtained with the developed algorithms are very close to those obtained via the commercial software PLAXIS. It should be noted that the algorithm’s code, developed under the Matlab environment, offers the possibility of modeling the construction phases (i.e., building layer by layer) by activating the different layers according to the imposed loading. This algorithmic and implementation framework allows to easily integrate other laws of nonlinear behaviors, including the Hardening Soil Model.


2012 ◽  
Vol 482-484 ◽  
pp. 616-620
Author(s):  
Rui Bin Mei ◽  
Ban Cai ◽  
Chang Sheng Li ◽  
Xiang Hua Liu

Finite element method (FEM) has been one of the most important numerical simulation tools with the development of computer technology. However, it is only used to simulate and analyze different process offline in many fields because of the longer computational time. The influencing factors of prediction of temperature in the strip rolling by FEM including equations, mesh and storage of matrix was investigated in the paper. The lumped heat capacity matrix was introduced to resolve the oscillation problem and improve precision. Furthermore, the refined elements layer upon layer was discussed to improve solution efficiency and precision. In addition, in order to improve the solution efficiency one dimensional compressed storage method was employed to carry out in the solution of equations. The FEM program code for the solution of temperature was embed in the online rolling control system program successfully. The predictive results are in good agreement with the measured value. The computational time and precision are satisfied in the strip rolling process.


2017 ◽  
Vol 72 ◽  
pp. 179-204 ◽  
Author(s):  
Susana Ladra ◽  
José R. Paramá ◽  
Fernando Silva-Coira

Author(s):  
B. Satheesh, Et. al.

Mining of regular trends in group action databases, time series databases, and lots of different database types was popularly studied in data processing research. Most previous studies follow the generation-and-test method of associate degree Apriori-like candidate collection. In this study, we seem to propose a particular frequency tree like structure, which is associated degree of prefix-tree like structure that is extended to be used for compressed storage, crucial knowledge of the frequency pattern, associated degrees create an economic FP-tree mining methodology, FP growth, by the growth of pattern fragments for the mining of the entire set of frequent patterns. Three different mining techniques are used to outsize the information which is compressed into small structures such as FP-tree that avoids repetitive information scans, cost. The proposed FP-tree-based mining receives an example philosophy of section creation to stay away from the exorbitant age of several competitor sets, and an apportioning-based, separating and-overcoming technique is used to divide the mining task into a contingent knowledge base for restricted mining designs that effectively reduces the investigation field.


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