Modeling of interfaces in two-dimensional problems using solid finite elements with high aspect ratio

2012 ◽  
Vol 94-95 ◽  
pp. 70-82 ◽  
Author(s):  
O.L. Manzoli ◽  
A.L. Gamino ◽  
E.A. Rodrigues ◽  
G.K.S. Claro
Keyword(s):  
Finite Elements ◽  
Aspect Ratio ◽  
High Aspect Ratio ◽  
Two Dimensional ◽  
Solid Finite Elements

TRIDIMENSIONAL MODELING OF HYDRAULIC FRACTURING USING SOLID FINITE ELEMENTS WITH HIGH ASPECT RATIO

2017 ◽  
Author(s):  
Débora Cristina Almeida de Assis ◽  
Leonardo José do Nascimento Guimarães ◽  
LEILA B. DE S. BESERRA ◽  
LEIDY LAURA ÀLVAREZ BERRÍO ◽  
IGOR FERNANDES GOMES
Keyword(s):  
Finite Elements ◽  
Aspect Ratio ◽  
Hydraulic Fracturing ◽  
High Aspect Ratio ◽  
Solid Finite Elements

Modelling of rotors with three-dimensional solid finite elements

2001 ◽  
Vol 36 (4) ◽  
pp. 359-371 ◽  
Author(s):  
A Nandi ◽  
S Neogy
Keyword(s):  
Finite Element ◽  
Finite Elements ◽  
Cross Sections ◽  
Three Dimensional ◽  
Element Model ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Two Dimensional ◽  
Inertia Effects ◽  
Solid Finite Elements

A shaft is modelled using three-dimensional solid finite elements. The shear-deformation and rotary inertia effects are automatically included through the three-dimensional elasticity formulation. The formulation allows warping of plane cross-sections and takes care of gyroscopic effect. Unlike a beam element model, the present model allows the actual rotor geometry to be modelled. Shafts with complicated geometry can be modelled provided that the shaft cross-section has two axes of symmetry with equal or unequal second moment of areas. The acceleration of a point on the shaft is determined in inertial and rotating frames. It is found that the finite element formulation becomes much simpler in a rotating frame of reference that rotates about the centre-line of the bearings with an angular velocity equal to the shafts spin speed. The finite element formulation in the above frame is ideally suited to non-circular shafts with solid or hollow, prismatic or tapered sections and continuous or abrupt change in cross-sections. The shaft and the disc can be modelled using the same types of element and this makes it possible to take into account the flexibility of the disc. The formulation also allows edge cracks to be modelled. A two-dimensional model of shaft disc systems executing synchronous whirl on isotropic bearings is presented. The application of the two-dimensional formulation is limited but it reduces the number of degrees of freedom. The three-dimensional solid and two-dimensional plane stress finite element models are extensively validated using standard available results.

On the use of high aspect ratio finite elements to model hydraulic fracturing in deformable porous media

2019 ◽  
Vol 350 ◽  
pp. 57-80 ◽  
Author(s):  
Osvaldo L. Manzoli ◽  
Pedro R. Cleto ◽  
Marcelo Sánchez ◽  
Leonardo J.N. Guimarães ◽  
Michael A. Maedo
Keyword(s):  
Porous Media ◽  
Finite Elements ◽  
Aspect Ratio ◽  
Hydraulic Fracturing ◽  
High Aspect Ratio ◽  
Deformable Porous Media

On the Pressure Distribution Round Certain Aerofoils of High Aspect Ratio

1926 ◽  
Vol 30 (182) ◽  
pp. 129-141
Author(s):  
D. M. Wrinch
Keyword(s):  
Aspect Ratio ◽  
Cross Section ◽  
High Aspect Ratio ◽  
Special Interest ◽  
Cylindrical Body ◽  
The Body ◽  
The Other ◽  
Two Dimensional ◽  
Reasonable Accuracy ◽  
Lifting Force

The development of aerodynamical research into the usefulness of wing profiles of various types for aerofoils of high aspect ratio lends special interest to new results in two-dimensional hydrodynamics relating to the motion of a perfect fluid in the presence of a cylindrical body, especially in the case when the curve of cross-section of the body possesses only a smali amount of camber and is cusped at one end and rounded at the other.The possibility of formulating a theory which represents with reasonable accuracy the actual motions of aerofoils of high aspect ratio in a stream of air, when the air it taken to be inviscid, depends, of course, essentially in the first place on finding motions in which there is a force on the body at right angles to the direction of streaming. No theory which omits to produce this lifting force can give an account of the actual motions of aerofoils which is even approximately satisfactory.

2D numerical modeling of naturally fractured media using finite elements with high aspect ratio

2017 ◽  
Author(s):  
Pedro Rogério Cleto ◽  
Osvaldo Luís Manzoli ◽  
Heber Agnelo Antonel Fabbri ◽  
Eduardo Alexandre Rodrigues ◽  
José Henrique Krähenbühl Ambiel
Keyword(s):  
Numerical Modeling ◽  
Finite Elements ◽  
Aspect Ratio ◽  
High Aspect Ratio ◽  
Fractured Media ◽  
Naturally Fractured

High aspect ratio submicrometer two-dimensional structures fabricated by one-photon absorption direct laser writing

2014 ◽  
Vol 20 (10-11) ◽  
pp. 2097-2102 ◽  
Author(s):  
Mai Trang Do ◽  
Qinggele Li ◽  
Thi Thanh Ngan Nguyen ◽  
Henri Benisty ◽  
Isabelle Ledoux-Rak ◽  
...  
Keyword(s):  
Aspect Ratio ◽  
High Aspect Ratio ◽  
Photon Absorption ◽  
Two Dimensional ◽  
Direct Laser Writing ◽  
Laser Writing ◽  
Direct Laser

Unveiling surface charge on chalcogen atoms toward the high aspect-ratio colloidal growth of two-dimensional transition metal chalcogenides

Nanoscale ◽  
2021 ◽  
Author(s):  
Yunhee Cho ◽  
Thi Anh Le ◽  
Hyunjung Kim ◽  
Yeseul Hong ◽  
Heemin Hwang ◽  
...  
Keyword(s):  
Transition Metal ◽  
Aspect Ratio ◽  
Surface Charge ◽  
High Aspect Ratio ◽  
Steric Effects ◽  
Metal Chalcogenides ◽  
Anisotropic Growth ◽  
Two Dimensional ◽  
Transition Metal Chalcogenides ◽  
Ligand Adsorption

The steric effects of the ligands unveil the charged chalcogen sites which are induced by the ligand adsorption, thus promoting the anisotropic growth of two-dimensional transition metal chalcogenides (TMCs).

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