Instabilities in a continuous medium model for the retina

1980 ◽  
Vol 39 (1) ◽  
pp. 11-14 ◽  
Author(s):  
Hendrik J. Van Ouwerkerk ◽  
Jan H. Tulp ◽  
Hans A. L. Piceni ◽  
Jacques A. J. Roufs ◽  
Frans J. J. Blommaert
Keyword(s):  
Continuous Medium ◽  
Medium Model

scholarly journals DYNAMICS OF FRACTAL SOLIDS

2005 ◽  
Vol 19 (27) ◽  
pp. 4103-4114 ◽  
Author(s):  
VASILY E. TARASOV
Keyword(s):  
Fractional Order ◽  
Experimental Test ◽  
Fractional Integral ◽  
Continuous Medium ◽  
Fractional Integrals ◽  
Generalized Equations ◽  
Moments Of Inertia ◽  
Medium Model ◽  
Mass Dimension ◽  
Euler's Equations

We describe the fractal solid by a special continuous medium model. We propose to describe the fractal solid by a fractional continuous medium model, where all characteristics and fields are defined everywhere in the volume but they follow some generalized equations which are derived by using fractional integrals of fractional order. The order of fractional integral can be equal to the fractal mass dimension of the solid. Fractional integrals are considered as an approximation of integrals on fractals. We suggest the approach to compute the moments of inertia for fractal solids. The dynamics of fractal solids are described by the usual Euler's equations. The possible experimental test of continuous medium model for fractal solids is considered.

scholarly journals Continuous medium model for fractal media

2005 ◽  
Vol 336 (2-3) ◽  
pp. 167-174 ◽  
Author(s):  
Vasily E. Tarasov
Keyword(s):  
Continuous Medium ◽  
Fractal Media ◽  
Medium Model

scholarly journals Study on Water Inflow Variation Law of No.1 Shaft Auxiliary Shaft in HighLiGongshan Based on Dual Medium Model

Symmetry ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 930
Author(s):  
Jiabin Li ◽  
Yonghong Wang ◽  
Zhongsheng Tan ◽  
Wen Du ◽  
Zhenyu Liu
Keyword(s):  
Rock Mass ◽  
Continuous Medium ◽  
Fractured Rock ◽  
Analytical Formula ◽  
Fracture Network ◽  
Discrete Fracture Network ◽  
Water Inflow ◽  
Fracture Group ◽  
Medium Model ◽  
Discrete Fracture

When the fracture is not developed and the connectivity is poor, the original single medium simulation cannot meet the accuracy requirements. Now, the seepage simulation of fractured rock mass has gradually developed from equivalent continuous medium to dual medium and multiple medium. However, it is still difficult to establish the connection between a discrete fracture network model and a continuous medium model, which makes it difficult to simulate the influence of fracture location on the seepage field of rock mass. As the excavation direction of the shaft is vertically downward, the surrounding strata are symmetrical around the plane of the shaft axis, which is different from the horizontal tunnel. Taking the auxiliary shaft of the No.1 Shaft in HighLiGongshan as the engineering background, combined with Monte Carlo methods and DFN generator built in FLAC3D5.01, a discrete fracture network is generated. Based on the dual medium theory, MIDAS is used to optimize the modeling of each fracture group. At the same time, the concept of “Fracture Weakening area” is introduced, and the simulation is carried out based on a fluid–solid coupling method. It is found that the simulation effect is close to the reality. The water inflow increases with the increase of shaft excavation depth, and the water inflow at the end of excavation is nearly three times larger than the initial value. Combined with Legendre equation, a new analytical formula of water inflow prediction is proposed. It is found that this analytical formula is more sensitive to permeability and has a greater safety reserve.

Characteristics of wind-induced displacement of super-large cooling tower based-on continuous medium model wind tunnel test

2018 ◽  
Vol 180 ◽  
pp. 201-212 ◽  
Author(s):  
Yun-feng Zou ◽  
Xu-hui He ◽  
Hai-quan Jing ◽  
Shuai Zhou ◽  
Hua-wei Niu ◽  
...  
Keyword(s):  
Wind Tunnel ◽  
Continuous Medium ◽  
Cooling Tower ◽  
Wind Tunnel Test ◽  
Medium Model

Inversion of fractures based on equivalent continuous medium model of fractured reservoirs

2017 ◽  
Vol 151 ◽  
pp. 496-506 ◽  
Author(s):  
Kai Zhang ◽  
Xiaoming Zhang ◽  
Liming Zhang ◽  
Jun Yao ◽  
Xia Yan
Keyword(s):  
Continuous Medium ◽  
Fractured Reservoirs ◽  
Medium Model

scholarly journals Continuous and discrete models in the mechanics of deformable solid bodies

2018 ◽  
Vol 184 ◽  
pp. 01004
Author(s):  
Géza Lámer
Keyword(s):  
Continuum Model ◽  
Continuous Medium ◽  
Geometric Model ◽  
Discrete Models ◽  
Deformable Solid ◽  
Medium Model ◽  
Continuous Description ◽  
Discrete Nature ◽  
Solid Bodies ◽  
Discrete Medium

The study provides an overview of modelling possibilities for the mechanical behaviour of media. The discrete, continuous or differential geometric as well as the discrete nature and continuous description grid continuum model in particular are highlighted. We point out that the differential geometric model is based on the concept of continuity and interprets a continuous medium model. We reveal that the grid continuum model is based on the application of numerical method and interprets a discrete medium model.

Sign in / Sign up

Export Citation Format

Share Document