Time-dependent finite element simulations of a shear-thinning viscoelastic fluid with application to blood flow

2014 ◽  
Vol 75 (9) ◽  
pp. 668-686
Author(s):  
I. G. Donev ◽  
B. D. Reddy
Keyword(s):  
Finite Element ◽  
Blood Flow ◽  
Viscoelastic Fluid ◽  
Shear Thinning ◽  
Finite Element Simulations ◽  
Time Dependent

scholarly journals Accounting for Tube Hematocrit in Modeling of Blood Flow in Cerebral Capillary Networks

2019 ◽  
Vol 2019 ◽  
pp. 1-10
Author(s):  
Nikolai D. Botkin ◽  
Andrey E. Kovtanyuk ◽  
Varvara L. Turova ◽  
Irina N. Sidorenko ◽  
Renée Lampe
Keyword(s):  
Finite Element ◽  
Blood Flow ◽  
Numerical Simulations ◽  
Hydraulic Resistance ◽  
Analytic Formula ◽  
Finite Element Simulations ◽  
Hematocrit Level ◽  
Capillary Networks ◽  
Cerebral Capillary ◽  
Flow Through

The aim of this paper consists in the derivation of an analytic formula for the hydraulic resistance of capillaries, taking into account the tube hematocrit level. The consistency of the derived formula is verified using Finite Element simulations. Such an effective formula allows for assigning resistances, depending on the hematocrit level, to the edges of networks modeling biological capillary systems, which extends our earlier models of blood flow through large capillary networks. Numerical simulations conducted for large capillary networks with random topologies demonstrate the importance of accounting for the hematocrit level for obtaining consistent results.

Prediction of time-dependent swelling of flexible polymer substrates using hygro-mechanical finite element simulations

Soft Matter ◽  
2016 ◽  
Vol 12 (18) ◽  
pp. 4135-4141 ◽  
Author(s):  
Jae-Bum Pyo ◽  
Tae-Ik Lee ◽  
Cheolgyu Kim ◽  
Min Sung Kim ◽  
Taek-Soo Kim
Keyword(s):  
Finite Element ◽  
Finite Element Simulations ◽  
Time Dependent ◽  
Polymer Substrates ◽  
Flexible Polymer

scholarly journals Finite Element Study on Calculation of Nonlinear Soil Consolidation Using Compression and Recompression Indexes

2020 ◽  
Vol 10 (14) ◽  
pp. 4737
Author(s):  
Chao Xu ◽  
Suli Pan
Keyword(s):  
Finite Element ◽  
Case History ◽  
Time Dependent ◽  
Discrete Equation ◽  
Soil Consolidation ◽  
Coefficient Of Consolidation ◽  
Finite Element Study ◽  
Nonlinear Consolidation ◽  
Element Study

The coefficient of consolidation is traditionally considered as a constant value in soil consolidation calculations. This paper uses compression and recompression indexes to calculate the solution-dependent nonlinear compressibility, thus overconsolidation and normal consolidation are separated during the calculations. Moreover, the complex nonlinear consolidation can be described using the nonlinear compressibility and a nonlinear permeability. Then, the finite element discrete equation with consideration of the time-dependent load is derived, and a corresponding program is developed. Subsequently, a case history is conducted for verifying the proposed method and the program. The results show that the method is sufficiently accurate, indicating the necessity of considering nonlinearity for consolidation calculations. Finally, three cases are compared to reveal the importance of separating the overconsolidation and normal consolidation. Overall, this study concluded that it is inadequate to consider just one consolidation status in calculations, and that the proposed method is more reasonable for guiding construction.

scholarly journals Thermo-Viscoelastic Response of 3D Braided Composites Based on a Novel FsMsFE Method

Materials ◽  
2021 ◽  
Vol 14 (2) ◽  
pp. 271
Author(s):  
Jun-Jun Zhai ◽  
Xiang-Xia Kong ◽  
Lu-Chen Wang
Keyword(s):  
Finite Element ◽  
Cell Model ◽  
Structural Parameters ◽  
Thermal Relaxation ◽  
Viscoelastic Behavior ◽  
Unit Cell ◽  
Time Dependent ◽  
3D Braided Composites ◽  
Equivalent Time ◽  
Representative Unit Cell

A homogenization-based five-step multi-scale finite element (FsMsFE) simulation framework is developed to describe the time-temperature-dependent viscoelastic behavior of 3D braided four-directional composites. The current analysis was performed via three-scale finite element models, the fiber/matrix (microscopic) representative unit cell (RUC) model, the yarn/matrix (mesoscopic) representative unit cell model, and the macroscopic solid model with homogeneous property. Coupling the time-temperature equivalence principle, multi-phase finite element approach, Laplace transformation and Prony series fitting technology, the character of the stress relaxation behaviors at three scales subject to variation in temperature is investigated, and the equivalent time-dependent thermal expansion coefficients (TTEC), the equivalent time-dependent thermal relaxation modulus (TTRM) under micro-scale and meso-scale were predicted. Furthermore, the impacts of temperature, structural parameters and relaxation time on the time-dependent thermo-viscoelastic properties of 3D braided four-directional composites were studied.

Sign in / Sign up

Export Citation Format

Share Document