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牛股骨骨干皮质表面周围的残余应力。

Residual stress around the cortical surface in bovine femoral diaphysis.

作者信息

Yamada Satoshi, Tadano Shigeru

机构信息

Division of Human Mechanical Systems and Design, Graduate School of Engineering, Hokkaido University, N13 W8, Kita-ku, Sapporo 060-8628, Japan.

出版信息

J Biomech Eng. 2010 Apr;132(4):044503. doi: 10.1115/1.4001163.

Abstract

Residual stress in living tissue plays an important role in mechanical strength. We have reported that residual stress exists in the bone tissue of a rabbit's tibiofibula. The purpose of this study is to measure the residual stress around the outer cortical region of bovine femoral diaphysis and to discuss the distribution of the stress. This work proposed the sin(2) psi method of X-ray diffraction to the measurement of residual stresses in bone tissue. In this method, residual stress can be estimated from the variation in the interplanar spacings orientated to a number of directions without the lattice strain in the stress direction. Four-point bending tests of strip specimens taken from bovine femoral diaphysis were carried out during X-ray irradiation in advance. In the proximal, middle, and distal sections of bovine femoral diaphyses, the residual stresses at the cortical surface were measured using characteristic Mo-Kalpha X-rays. The bending tests of strip specimens with X-ray irradiation showed that the method could reliably estimate residual stresses in the bone tissue. The residual stress of the bone axial direction was larger than that of the circumferential direction. The stresses in the middle part of five diaphyses along the bone axial direction were tensile. The maximum stress was 162 MPa at the lateral position and the minimum was 78 MPa at the posterior position. The residual stress in the bone axial direction varies around the circumferential region. In addition, the bone axial distributions of residual stresses were different in the proximal, middle, and distal sections of the individual femur. Furthermore, it was confirmed that residual stress in the bone tissue was released by the cutting out of the specimen. The residual stresses in bone tissue could be measured by this method. The results show that residual stress in the bone axial direction at the cortical surface in bovine femoral diaphysis is tensile and varies around the circumferential region.

摘要

活体组织中的残余应力在机械强度方面起着重要作用。我们已经报道过兔胫腓骨的骨组织中存在残余应力。本研究的目的是测量牛股骨干骺端外侧皮质区域周围的残余应力,并探讨应力分布情况。这项工作将X射线衍射的sin(2)ψ方法应用于骨组织残余应力的测量。在该方法中,无需应力方向上的晶格应变,就可以根据与多个方向取向的晶面间距变化来估算残余应力。预先在X射线照射期间对取自牛股骨干骺端的条形试样进行四点弯曲试验。在牛股骨干骺端的近端、中部和远端,使用特征性Mo-Kα X射线测量皮质表面的残余应力。带X射线照射的条形试样的弯曲试验表明,该方法能够可靠地估算骨组织中的残余应力。骨轴向的残余应力大于周向的残余应力。沿骨轴向的五个骨干中部的应力为拉伸应力。最大应力在外侧位置为162 MPa,最小应力在后侧位置为78 MPa。骨轴向的残余应力在圆周区域周围变化。此外,在单个股骨的近端、中部和远端,残余应力的骨轴向分布有所不同。此外,还证实通过切割试样会释放骨组织中的残余应力。用这种方法可以测量骨组织中的残余应力。结果表明,牛股骨干骺端皮质表面骨轴向的残余应力为拉伸应力,且在圆周区域周围变化。

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