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一种用于对生物结构进行力学分析的新数值方法。

A new numerical approach to mechanically analyse biological structures.

作者信息

Marques M, Belinha J, Dinis L M J S, Natal Jorge R M

机构信息

a Institute of Science and Innovation in Mechanical and Industrial Engineering (INEGI), University of Porto , Portugal.

b ISEP - School of Engineering , Polytechnic of Porto , Porto , Portugal.

出版信息

Comput Methods Biomech Biomed Engin. 2019 Jan;22(1):100-111. doi: 10.1080/10255842.2018.1538413. Epub 2018 Dec 24.

DOI:10.1080/10255842.2018.1538413
PMID:30580586
Abstract

In this work, an advanced discretization meshless technique is used to study the structural response of a human brain due to an impact load. The 2D and 3D brain geometrical models, and surrounding structures, were obtained through the processing of medical images, allowing to achieve a realistic geometry for the virtual model and to define the distribution of the mechanical properties accordingly with the medical images colour scale. Additionally, a set of essential and natural boundary conditions were assumed in order to reproduce a sudden impact force applied to the cranium. Then, a structural numerical analysis was performed using the Natural Neighbour Radial Point Interpolation Method (NNRPIM). The obtained results were compared with the finite element method (FEM) and a solution available in the literature. This work shows that the NNRPIM is a robust and accurate numerical technique, capable to produce results very close to other numerical approaches. In addition, the variable fields obtained with the meshless method are much smoother than the FEM corresponding solution.

摘要

在这项工作中,采用了一种先进的离散化无网格技术来研究人脑部在冲击载荷作用下的结构响应。通过医学图像的处理获得了二维和三维脑部几何模型以及周围结构,从而为虚拟模型实现了逼真的几何形状,并根据医学图像的颜色标度定义了力学性能的分布。此外,为了模拟施加在颅骨上的突然冲击力,假定了一组基本和自然边界条件。然后,使用自然邻域径向点插值法(NNRPIM)进行了结构数值分析。将所得结果与有限元法(FEM)以及文献中可用的解进行了比较。这项工作表明,NNRPIM是一种强大且精确的数值技术,能够产生与其他数值方法非常接近的结果。此外,用无网格方法获得的变量场比有限元法相应的解要平滑得多。

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