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3D elastic dental analysis by a local RBF collocation method

机译：3D通过局部RBF搭配方法进行弹性牙科分析

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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 proposed 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.
机译：本文提出了局部径向基函数搭配方法（LRBFCM）以分析复杂几何形状的3D弹性问题。 特别地，考虑由锥形光束计算机断层扫描（CBCT）数据构建的真实齿域。 在本文中详细描述了牙齿形状的重建过程，在LRBFCM中选择局部影响结构域，以及边界条件的处理。 进行了五种不同示例的线性弹性分析，以验证所提出的方法的有效性。 通过3D弹性变形和应力分析研究了具有龋齿和健康牙齿的牙齿之间的应力差异。

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  • 来源
    《Applied Mathematical Modelling》 |2021年第11期|41-56|共16页
  • 作者

    Hui Zheng; M.X. Wu; Yan Shi; Cheng Deng; C.Z. Zhang;

  • 作者单位

    School of Civil Engineering and Architecture Nanchang University 330031 China Jiangxi Provincial Key Laboratory of Oral Biology Department of Conservative Dentistry and Endodontics Stomatology Hospital Nanchang University 330006 China Communications Design & Research Institute Co. Ltd of Jiangxi Prov. 330052 China;

    School of Civil Engineering and Architecture Nanchang University 330031 China Jiangxi Provincial Key Laboratory of Oral Biology Department of Conservative Dentistry and Endodontics Stomatology Hospital Nanchang University 330006 China;

    School of Civil Engineering and Architecture Nanchang University 330031 China Jiangxi Provincial Key Laboratory of Oral Biology Department of Conservative Dentistry and Endodontics Stomatology Hospital Nanchang University 330006 China;

    School of Civil Engineering and Architecture Nanchang University 330031 China Jiangxi Provincial Key Laboratory of Oral Biology Department of Conservative Dentistry and Endodontics Stomatology Hospital Nanchang University 330006 China;

    Department of Civil Engineering University of Siegen Siegen D-57068 Germany;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Radial basis function; Complex geometry reconstruction; 3D elastic dental analysis; Collocation method;

    机译：径向基函数;复杂的几何重建;3D弹性牙科分析;搭配方法;

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