Three-dimensional simulation of planar contraction viscoelastic flow by penalty finite element method

Author(s):  
Yue Mu ◽  
Guoqun Zhao ◽  
Chengrui Zhang ◽  
Anbiao Chen ◽  
Huiping Li
2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Qiu Guan ◽  
Xiaochen Du ◽  
Yan Shao ◽  
Lili Lin ◽  
Shengyong Chen

Scalp soft tissue expansion is one of the key medical techniques to generate new skin tissue for correcting various abnormalities and defects of skin in plastic surgery. Therefore, it is very important to work out the appropriate approach to evaluate the increase of expanded scalp area and to predict the shape, size, number, and placement of the expander. A novel method using finite element model is proposed to solve large deformation of scalp expansion in this paper. And the procedure to implement the scalp tissue expansion with finite element method is also described in detail. The three-dimensional simulation results show that the proposed method is effective, and the analysis of simulation experiment shows that the volume and area of the expansion scalp can be accurately calculated and the quantity, location, and size of the expander can also be predicted successfully with the proposed model.


2011 ◽  
Vol 189-193 ◽  
pp. 1941-1945
Author(s):  
Yong Li ◽  
Jian Rong Zheng

An understanding of flow behavior of polymer melts through a slit die is extremely important for optimizing die design. In this paper numerical simulations have been undertaken for the flow of linear low-density polyethylene through Coat-hanger sheet dies. A new finite element method is proposed to simulate the flow in slit channel using Wagner constitutive model. This is one kind of finite element semi-analytical method by which the velocity distributions in thickness direction is approach by Fourier series. Numerical results of volumetric flow and pressure in coat-hanger dies are given to compare to the three-dimensional simulation using the finite element method. It appears that numerical solutions are as accurate as the complete 3D calculations and the computing time can be saved.


2005 ◽  
Vol 288 (3) ◽  
pp. C510-C522 ◽  
Author(s):  
Jun-ichi Okada ◽  
Seiryo Sugiura ◽  
Satoshi Nishimura ◽  
Toshiaki Hisada

To investigate the characteristics and underlying mechanisms of Ca2+ wave propagation, we developed a three-dimensional (3-D) simulator of cardiac myocytes, in which the sarcolemma, myofibril, and Z-line structure with Ca2+ release sites were modeled as separate structures using the finite element method. Similarly to previous studies, we assumed that Ca2+ diffusion from one release site to another and Ca2+-induced Ca2+ release were the basic mechanisms, but use of the finite element method enabled us to simulate not only the wave propagation in 3-D space but also the active shortening of the myocytes. Therefore, in addition to the dependence of the Ca2+ wave propagation velocity on the sarcoplasmic reticulum Ca2+ content and affinity of troponin C for Ca2+, we were able to evaluate the influence of active shortening on the propagation velocity. Furthermore, if the initial Ca2+ release took place in the proximity of the nucleus, spiral Ca2+ waves evolved and spread in a complex manner, suggesting that this phenomenon has the potential for arrhythmogenicity. The present 3-D simulator, with its ability to study the interaction between Ca2+ waves and contraction, will serve as a useful tool for studying the mechanism of this complex phenomenon.


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