Physical and numerical modeling – Hydraulic capacity and scale effects

2013 ◽  
pp. 39-39
2020 ◽  
Vol 18 (4) ◽  
pp. 671-675
Author(s):  
Yulong Li ◽  
Alexander Volkov ◽  
Lev Rabinskiy ◽  
Aleksandr Shemiakov

This article is relevant, as changes during the external loading may affect the stress state of the materials. The aim of this paper is to consider the numerical modeling of heating for circular cylinders in the frame of the theory of elastic materials with voids. A numerical solution is build using COMSOL Multiphysics software, where the implementation of the considered theory is realized based on the direct equation-definition approach. Constitutive relations were written in General form partial differential equation module. A matrix form of the equations for the two-dimensional case was used. Scale effects arising in considered problems are discussed. The classical solution is the particular case of the considered theory, when the coupling number tends to asero, i.e. when the micro-dilatation effects are small and do not affect the material's stress state. The limiting case in the case of the small value of the coupling number is the classical thermoelasticity solution.


2007 ◽  
Author(s):  
T. Campbell ◽  
B. de Sonneville ◽  
L. Benedet ◽  
D. J. W. Walstra ◽  
C. W. Finkl

Author(s):  
D.S. Rakisheva ◽  
◽  
B.G. Mukanova ◽  
I.N. Modin ◽  
◽  
...  

Numerical modeling of the problem of dam monitoring by the Electrical Resistivity Tomography method is carried out. The mathematical model is based on integral equations with a partial Fourier transform with respect to one spatial variable. It is assumed that the measurement line is located across the dam longitude. To approximate the shape of the dam surface, the Radial Basic Functions method is applied. The influence of locations of the water-dam, dam-basement, basement-leakage boundaries with respect to the sounding installation, which is partially placed under the headwater, is studied. Numerical modeling is carried out for the following varied parameters: 1) water level at the headwater; 2) the height of the leak; 3) the depth of the leak; 4) position of the supply electrode; 5) water level and leaks positions are changing simultaneously. Modeling results are presented in the form of apparent resistivity curves, as it is customary in geophysical practice.


2015 ◽  
Vol 35 ◽  
pp. 232-235 ◽  
Author(s):  
Leonardo Piccinini ◽  
Paolo Fabbri ◽  
Marco Pola ◽  
Enrico Marcolongo ◽  
Alessia Rosignoli

2016 ◽  
Vol 41 ◽  
pp. 10-13 ◽  
Author(s):  
Luca Alberti ◽  
Martino Cantone ◽  
Silvia Lombi ◽  
Alessandra Piana

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