scholarly journals Stochastic Approximation Finite Element Method: Analytical Formulas for Multidimensional Diffusion Process

2014 ◽  
Vol 52 (6) ◽  
pp. 3140-3164 ◽  
Author(s):  
R. Bompis ◽  
E. Gobet
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Diffusion Process ◽  
Stochastic Approximation ◽  
Analytical Formulas ◽  
Multidimensional Diffusion ◽  
Element Method

Closed-Form Approximate Formulas for Torsional Analysis of Hollow Tubes with Straight and Circular Edges

2009 ◽  
Vol 25 (4) ◽  
pp. 401-409 ◽  
Author(s):  
A. Doostfatemeh ◽  
M. R. Hematiyan ◽  
S. Arghavan
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Closed Form ◽  
Cross Section ◽  
Stress Function ◽  
Analytical Formulas ◽  
The Cross ◽  
Torsional Analysis ◽  
Approximate Formulas ◽  
Element Method

ABSTRACTSome analytical formulas are presented for torsional analysis of homogeneous hollow tubes. The cross section is supposed to consist of straight and circular segments. Thicknesses of segments of the cross section can be different. The problem is formulated in terms of Prandtl's stress function. The derived approximate formulas are so simple that computations can be carried out by a simple calculator. Several examples are presented to validate the formulation. The accuracy of formulas is verified by accurate finite element method solutions. It is seen that the error of the formulation is small and the formulas can be used for analysis of thin to moderately thick-walled hollow tubes.

Distribution of Chloride Concentration in Modeled Recycled Concrete Simulated by Finite Element Method

2011 ◽  
Vol 261-263 ◽  
pp. 147-150
Author(s):  
Jing Wei Ying ◽  
He Gong Chen
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Diffusion Process ◽  
Homogeneous Medium ◽  
Chloride Concentration ◽  
Smooth Curve ◽  
Recycled Concrete ◽  
Recycled Aggregates ◽  
Chloride Diffusion ◽  
Element Method

Proposed is a simple analytic model that can simulate the chloride diffusion distribution in a modeled recycled aggregates concrete (RAC). In this paper, on the one hand, the RAC is divided into three phases such as normal aggregates, new mortar and old attached mortar; on the other hand, a single aggregates RAC model was built, finite element method (FEM) is used to simulate chloride diffusion process based on the parameters of diffusivities summarized or derived from other literatures. It is found that the chloride concentration distribution in the RAC shows a band-like profile instead of a smooth curve for a homogeneous medium by ten years diffusion, with the bandwidth undulating and narrowing as the diffusion depth increases. The concentration of chloride distribution can be indicated by the different colors and, therefore, the proposed model allows more accurate realization of diffusion process.

Simulation of tuning graphene plasmonic behaviors by ferroelectric domains for self-driven infrared photodetector applications

Nanoscale ◽  
2019 ◽  
Vol 11 (43) ◽  
pp. 20868-20875 ◽  
Author(s):  
Junxiong Guo ◽  
Yu Liu ◽  
Yuan Lin ◽  
Yu Tian ◽  
Jinxing Zhang ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Interfacial Effect ◽  
Infrared Photodetector ◽  
The Finite Element Method ◽  
Ferroelectric Domains ◽  
Element Method

We propose a graphene plasmonic infrared photodetector tuned by ferroelectric domains and investigate the interfacial effect using the finite element method.

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