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Elastic properties and strain-to-crack-initation of calcium phosphate bone cements : Revelations of a high-resolution measurement technique

机译:磷酸钙骨水泥的弹性特性和应变到裂纹的起点:高分辨率测量技术的启示

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摘要

Calcium phosphate cements (CPCs) should ideally have mechanical properties similar to those of the bone tissue the material is used to replace or repair. Usually, the compressive strength of the CPCs is reported and, more rarely, the elastic modulus. Conversely, scarce or no data are available on Poisson's ratio and strain-to-crack-initiation. This is unfortunate, as data on the elastic response is key to, e.g., numerical model accuracy. In this study, the compressive behaviour of brushite, monetite and apatite cements was fully characterised. Measurement of the surface strains was done using a digital image correlation (DIC) technique, and compared to results obtained with the commonly used built-in displacement measurement of the materials testers. The collected data showed that the use of fixed compression platens, as opposed to spherically seated ones, may in some cases underestimate the compressive strength by up to 40%. Also, the built-in measurements may underestimate the elastic modulus by up to 62% as compared to DIC measurements. Using DIC, the brushite cement was found to be much stiffer (24.3 ± 2.3 GPa) than the apatite (13.5 ± 1.6 GPa) and monetite (7.1 ± 1.0 GPa) cements, and elastic moduli were inversely related to the porosity of the materials. Poisson's ratio was determined to be 0.26 ± 0.02 for brushite, 0.21 ± 0.02 for apatite and 0.20 ± 0.03 for monetite. All investigated CPCs showed low strain-to-crack-initiation (0.17–0.19%). In summary, the elastic modulus of CPCs is substantially higher than previously reported and it is concluded that an accurate procedure is a prerequisite in order to properly compare the mechanical properties of different CPC formulations. It is recommended to use spherically seated platens and measuring the strain at a relevant resolution and on the specimen surface.
机译:理想情况下,磷酸钙水泥(CPC)的机械性能应类似于该材料用来替代或修复的骨组织的机械性能。通常,会报告CPC的抗压强度,而很少会报告弹性模量。相反,关于泊松比和应变-裂纹起始的数据很少或没有。这是不幸的,因为关于弹性响应的数据是例如数值模型精度的关键。在这项研究中,透钙磷石,透纳石和磷灰石水泥的抗压性能得到了充分表征。使用数字图像相关(DIC)技术进行表面应变的测量,并将其与使用材料测试仪的常用内置位移测量获得的结果进行比较。收集到的数据表明,与球形座相反,使用固定的压盘在某些情况下可能低估了40%的抗压强度。此外,与DIC测量相比,内置测量可能会将弹性模量低估多达62%。使用DIC,发现透钙磷石水泥比磷灰石(13.5±1.6 GPa)和褐铁矿(7.1±1.0 GPa)水泥要硬得多(24.3±2.3 GPa),并且弹性模量与材料的孔隙率成反比。硅藻土的泊松比被确定为0.26±0.02,磷灰石的泊松比为0.21±0.02,三方体的泊松比为0.20±0.03。所有调查的CPC均显示出低的应变至裂纹起始(0.17–0.19%)。总之,CPC的弹性模量明显高于以前报道的结果,并且得出结论,要正确比较不同CPC配方的机械性能,必须要有准确的程序。建议使用球形安装的压板,并以适当的分辨率和样品表面测量应变。

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