One-Dimensional Mixed Poroelastic-Transport-Swelling (MPHETS) Finite Element Models for Soft Tissues

2000 ◽  
Author(s):  
Jason W. Nichol ◽  
Bruce R. Simon ◽  
Stuart K. Williams
Keyword(s):  
Finite Element ◽  
Soft Tissues ◽  
Transport Model ◽  
Element Model ◽  
Solid Matrix ◽  
Finite Element Models ◽  
Flow Conditions ◽  
One Dimensional ◽  
Dimensional Finite Element ◽  
Water Species

Abstract A hydrated soft tissue structure can be viewed as a poroelastic transport model, or specifically a porous, incompressible, fibrous solid matrix, which is saturated by an incompressible fluid (water) containing both positively and negatively charged species. We present a one-dimensional finite element model (FEM), derived from a Mixed-Poro-HyperElastic-Transport-Swelling (MPHETS)model. This FEM can be used to model various soft tissues, such as arteries, and provides a powerful tool to study coupled ion transport under various mechanical loading and water/ species flow conditions.

Étude de la réouverture de la lagune du Havre aux Basques. I. Modélisation numérique des conditions d'écoulement

1995 ◽  
Vol 22 (1) ◽  
pp. 55-71
Author(s):  
Y. Ouellet ◽  
A. Khelifa ◽  
J.-F. Bellemare
Keyword(s):  
Finite Element ◽  
Numerical Study ◽  
Element Model ◽  
Two Dimensional ◽  
Flow Conditions ◽  
Modélisation Numérique ◽  
Tidal Flows ◽  
Dimensional Finite Element ◽  
The Stability ◽  
La Madeleine

A numerical study based on a two-dimensional finite element model has been conducted to analyze flow conditions associated with different possible designs for the reopening of Havre aux Basques lagoon, located in Îles de la Madeleine, in the middle of the Gulf of St. Lawrence. More specifically, the study has been done to better define the depth and geometry of the future channel as well as its orientation with regard to tidal flows within the inlet and the lagoon. Results obtained from the model have been compared and analyzed to put forward some recommendations about choice of a design insuring the stability of the inlet with tidal flows. Key words: numerical model, finite element, lagoon, reopening, Havre aux Basques, Îles de la Madeleine.

The Calculation of the Rotor Critical Speed of Turbopump

2012 ◽  
Vol 529 ◽  
pp. 220-223 ◽  
Author(s):  
Jun Feng Wang ◽  
Kang Sun
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Critical Speed ◽  
Element Model ◽  
Rotor Dynamics ◽  
Gyroscopic Effect ◽  
One Dimensional ◽  
Dimensional Finite Element ◽  
Shearing Deformation ◽  
Rotor Structure

With the rotor structure ofturbopump, using a one-dimensional finite element method, considering the mass of shaft, gyroscopic effect and influence of shearing deformation,establishedtheone-dimensional rotor dynamics finite element model, calculated its six rank of the critical speed, and compared the gyroscopic effect and mass of shaft to the influence of the critical speed turbopump, and the results show that, considering the mass of shaft there is a slight decrease of critical speed value, and gyroscopic effect on critical speed calculation has a significant effect, therefore, gyroscopic effect must be considered in the design of turbopumps.

Extended “LMPHETS” Finite Element Models for Coupled Mechano-Electro-Chemical Transport in Soft Tissues

2002 ◽  
Author(s):  
B. R. Simon ◽  
G. A. Radtke ◽  
P. H. Rigby ◽  
S. K. Williams ◽  
Z. P. Liu
Keyword(s):  
Finite Element ◽  
Soft Tissues ◽  
Electrical Potential ◽  
Fluid Pressure ◽  
Nonlinear Material ◽  
Solid Matrix ◽  
Test Problems ◽  
Finite Element Models ◽  
Material Interfaces ◽  
Mobile Species

Soft tissues are hydrated fibrous materials that exhibit nonlinear material response and undergo finite straining during in vivo loading. A continuum model of these structures (“LMPHETS” [1,2]) is a porous solid matrix (with charges fixed to the solid fibers) saturated by a mobile fluid (water) and multiple species (e.g., three mobile species designated by α, β = p, m, b where p = +, m = −, and b = ± charge) dissolved in the mobile fluid. A “mixed” LMPHETS theory and finite element models (FEMs) were presented [1] in which the “primary fields” are the displacements, ui = xi − Xi and the mechano-electro-chemical potentials, ν˜ξ* (ξ, η = f, e, m, b) that are continuous across material interfaces. “Secondary fields” (discontinuous at material boundaries) are mechanical fluid pressure, pf; electrical potential, μ˜e; and concentration or “molarity”, cα = dnα / dVf. Here an extended version of these models is described and numerical results are presented for representative test problems associated with transport in soft tissues.

Three-Dimensional Finite Element Models of the Human Pubic Symphysis with Viscohyperelastic Soft Tissues

2006 ◽  
Vol 34 (9) ◽  
pp. 1452-1462 ◽  
Author(s):  
Zuoping Li ◽  
Jorge E. Alonso ◽  
Jong-Eun Kim ◽  
James S. Davidson ◽  
Brandon S. Etheridge ◽  
...  
Keyword(s):  
Finite Element ◽  
Soft Tissues ◽  
Three Dimensional ◽  
Pubic Symphysis ◽  
Finite Element Models ◽  
Dimensional Finite Element ◽  
Three Dimensional Finite Element
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