3D elastic dental analysis by a local RBF collocation method

被引：11

作者：

Zheng, Hui ^{[1
,2
,4
]}

Wu, M. X. ^{[1
,2
]}

Shi, Yan ^{[1
,2
]}

Deng, Cheng ^{[1
,2
]}

Zhang, C. Z. ^{[3
]}

机构：

[1] Nanchang Univ, Sch Civil Engn & Architecture, Nanchang 330031, Jiangxi, Peoples R China

[2] Nanchang Univ, Stomatol Hosp, Dept Conservat Dent & Endodont, Jiangxi Prov Key Lab Oral Biol, Nanchang 330006, Jiangxi, Peoples R China

[3] Univ Siegen, Dept Civil Engn, D-57068 Siegen, Germany

[4] Commun Design & Res Inst Co Ltd Jiangxi Prov, Nanchang 330052, Jiangxi, Peoples R China

来源：

APPLIED MATHEMATICAL MODELLING | 2021年 / 99卷

基金：

中国国家自然科学基金;

关键词：

Radial basis function; Complex geometry reconstruction; 3D elastic dental analysis; Collocation method; DATA APPROXIMATION SCHEME; MESHLESS; MULTIQUADRICS; PREMOLAR; STRESSES;

D O I：

10.1016/j.apm.2021.06.015

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, the local radial basis function collocation method (LRBFCM) is presented to analyze 3D elastic problems of complex geometries. In particular, a real tooth domain built by cone beam computer tomography (CBCT) data is considered. The reconstruction process of a tooth shape, the choice of the local influence domain in the LRBFCM, as well as the treatments of the boundary conditions are detailed described in this paper. Linear elastic analyses of five different examples are carried out to validate the effectiveness of the pro-posed approach. The stress difference between a tooth with the dental caries and a healthy tooth is investigated and discussed by the 3D elastic deformation and stress analysis. (c) 2021 Elsevier Inc. All rights reserved.

引用

页码：41 / 56

页数：16

共 50 条

[21] A stabilized local RBF collocation method for incompressible Navier-Stokes equations
Jiang, Pengfei
Zheng, Hui
Xiong, Jingang
Zhang, Chuanzeng
COMPUTERS & FLUIDS, 2023, 265
[22] An effective Hermite wavelet collocation method for 3D partial differential equations with convergence analysis
Raza, Akmal
Alam, Mohammad Prawesh
Faheem, Mo
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2025,
[23] A localized collocation solver based on fundamental solutions for 3D time harmonic elastic wave propagation analysis
Sun, Linlin
Fu, Zhuojia
Chen, Zhikang
APPLIED MATHEMATICS AND COMPUTATION, 2023, 439
[24] 3D space analysis of dental models
Chuah, JH
Ong, SH
Kondo, T
Foong, KWC
Yong, TF
MEDICAL IMAGING 2001: VISUALIZATION, DISPLAY, AND IMAGE-GUIDED PROCEDURES, 2001, 4319 : 564 - 573
[25] A high-resolution local RBF collocation method for steady-state poroelasticity and hydromechanical damage analysis
Stevens, D.
Power, H.
Polanco, J.
Cliffe, A.
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, 2015, 39 (04) : 436 - 456
[26] Elastic wave modelling in 3D heterogeneous media: 3D grid method
Zhang, JF
Liu, TL
GEOPHYSICAL JOURNAL INTERNATIONAL, 2002, 150 (03) : 780 - 799
[27] Local RBF-based differential quadrature collocation method for the boundary layer problems
Shen, Quan
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2010, 34 (03) : 213 - 228
[28] 3D global-local analysis using mesh superposition method
Sellitto, A.
Borrelli, R.
Caputo, F.
Ludwig, T.
Riccio, A.
Scaramuzzino, F.
ADVANCES IN FRACTURE AND DAMAGE MECHANICS XII, 2014, 577-578 : 505 - +
[29] A local RBF collocation method for band structure computations of 2D solid/fluid and fluid/solid phononic crystals
Zheng, Hui
Zhang, Chuanzeng
Wang, Yuesheng
Chen, Wen
Sladek, Jan
Sladek, Vladimir
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2017, 110 (05) : 467 - 500
[30] 3D stabilization-free virtual element method for linear elastic analysis
Xu, Bing -Bing
Wriggers, Peter
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2024, 421

← 1 2 3 4 5 →