scholarly journals A finite element method for transient analysis of concurrent large deformation and mass transport in gels

2009 ◽  
Vol 105 (9) ◽  
pp. 093522 ◽  
Author(s):  
Jiaping Zhang ◽  
Xuanhe Zhao ◽  
Zhigang Suo ◽  
Hanqing Jiang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Mass Transport ◽  
Large Deformation ◽  
Transient Analysis ◽  
Element Method

scholarly journals A Hybrid Mass Transport Finite Element Method for Keller–Segel Type Systems

2019 ◽  
Vol 80 (3) ◽  
pp. 1777-1804
Author(s):  
J. A. Carrillo ◽  
N. Kolbe ◽  
M. Lukáčová-Medvid’ová
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Mass Transport ◽  
Type Systems ◽  
Element Method

Nonlinear Random Responses of Shell Structures With Spatial Uncertainties

2002 ◽  
Author(s):  
C. W. S. To
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Large Deformation ◽  
Mass Matrix ◽  
Spatial Uncertainty ◽  
Shell Structures ◽  
Time Step ◽  
Central Difference ◽  
Approximation Techniques ◽  
Element Method

A novel procedure for large deformation nonstationary random response computation of shell structures with spatial uncertainty is presented. The procedure is free from the limitations associated with those employing perturbation approximation techniques, such as the so-called stochastic finite element method and probabilistic finite element method, for systems with spatial uncertainties. In addition, the procedure has several important and excellent features. Chief among these are: (a) ability to deal with large deformation problems of finite strain and finite rotation; (b) application of explicit linear and nonlinear element stiffness matrices, mass matrix, and load vectors reduces computation time drastically; (c) application of the averaged deterministic central difference scheme for the updating of co-ordinates and element matrices at every time step makes it extremely efficient compared with those employing the Monte Carlo simulation and the conventional central difference algorithm; and (d) application of the time co-ordinate transformation enables one to study highly stiff structural systems.

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