Kriging Interpolation Strategy for Finite-Element-Based Surrogate Responses of DCB Delamination Tests

This paper presents an enhancement of the finite element method (FEM) by adopting the moving Kriging (MK) interpolation as a substitute for the traditional hat functions. The MK shape functions can be referred as element-free because their construction is not tied to the element geometry. Kriging interpolation is a geostatistical technique for spatial interpolation. The basic idea of Kriging is that any unknown point can be interpolated from known scatter points in a specific domain. Using the moving Kriging interpolation, shape functions can be generated over any finite set of nodes. This leads to an idea to extend the influence of a node beyond the layer of surrounding elements to enhance the global smoothness of the field variable and its derivatives. The present paper thus proposes a concept of layered domain of influence. Hence, characteristic arrays of an element, such as the element stiffness, have contributions from all visible nodes that include a set of satellite nodes unattached to the element. The validation of the method was confirmed through numerical tests of one and two-dimensional problems. The results show remarkable accuracy and global smoothness. Existing general-purposed FE programs can be easily modified to accommodate this new element concept; thus, the method has a higher chance to be accepted in practice.

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ON THE CONVERGENCE OF THE KRIGING-BASED FINITE ELEMENT METHOD

International Journal of Computational Methods ◽

10.1142/s0219876209001784 ◽

2009 ◽

Vol 06 (01) ◽

pp. 93-118 ◽

Cited By ~ 5

Author(s):

F. T. WONG ◽

W. KANOK-NUKULCHAI

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Exact Solutions ◽

Kriging Interpolation ◽

Numerical Tests ◽

Mesh Free ◽

Mesh Free Methods ◽

Element Method

An enhancement of the FEM using Kriging interpolation (K-FEM) was recently proposed. This method offers advantages over the conventional FEM and mesh-free methods. With Kriging interpolation, the approximated field over an element is influenced not only by its own element nodes but also by a set of satellite nodes outside the element. This results in incompatibility along interelement boundaries. Consequently, the convergence of the solutions is questionable. In this paper, the convergence is investigated through several numerical tests. It is found that the solutions of the K-FEM with an appropriate range of parameters converge to the corresponding exact solutions.

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Application of Uniform Design and Kriging Interpolation in Optimization of ITI Dental Implant with Dynamic Chewing Loads

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.575.512 ◽

2014 ◽

Vol 575 ◽

pp. 512-515

Author(s):

Yung Chang Cheng ◽

Deng Huei Lin ◽

Cho-Pei Jiang ◽

Cheng Kang Lee

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Local Search ◽

Dental Implant ◽

Uniform Design ◽

Optimal Solution ◽

Optimization Procedure ◽

Kriging Interpolation ◽

Element Analysis ◽

Explicit Dynamics

The aim of this paper is to present an integrated procedure for the optimization of dimensions of the ITI dental implant with dynamic chewing loads. The procedure is composed of uniform design of experiments, explicit dynamics finite element analysis, Kriging interpolation, and Nelder-Mead simplex local search optimization method. Firstly, uniform design method is employed to create a set of experiments. Then, explicit dynamics finite element analysis software ANSYS/LS-DYNA is used to analyze the micromotion of cortical and cancellous bones while the dynamic chewing loads acts on the implant. Next, Kriging interpolation is applied to construct the surrogate model of micromotion based on the input and output data of experiments. Finally, Nelder-Mead simplex local search method is applied to find the optimal solution of dimensions of dental implant under the goal of minimizing the micromotion. After performing the optimization procedure presented in this paper, the micromotion of the ITI dental implant system model can successfully be reduced by a rate of 29.7 %.

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

Nanoscale ◽

10.1039/c9nr06508c ◽

2019 ◽

Vol 11 (43) ◽

pp. 20868-20875 ◽

Cited By ~ 1

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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