张玉婷,丁榕,左泽宇,汤立群*,刘逸平,蒋震宇,刘泽佳,周立成.一种由圆柱体试件的侧向压缩力-位移关系同时测量材料弹性模量和泊松比的新方法[J].实验力学,2019,34(3):365~372 |
一种由圆柱体试件的侧向压缩力-位移关系同时测量材料弹性模量和泊松比的新方法 |
A new method for simultaneous measurement of elastic modulus and Poisson's Ratio by using force-displacement relationship of a cylinder under lateral compression |
投稿时间:2018-07-22 修订日期:2018-09-24 |
DOI:10.7520/1001-4888-18-170 |
中文关键词: 侧向压缩 力-位移关系 弹性模量 泊松比 |
英文关键词:lateral compression force-displacement relationship Young's modulus Poisson's ratio |
基金项目:国家自然科学基金资助(11472109) |
|
摘要点击次数: 1062 |
全文下载次数: 491 |
中文摘要: |
材料的弹性模量和泊松比是材料表征的重要力学参数,传统的压缩试验需要同时测量荷载、压缩和横向变形,才能实现对弹性模量和泊松比的同时测量。本文从Hertz接触理论出发,推导出弹性圆柱体在侧向压缩下的位移-力关系公式,在该关系式中位移与力的关系除与试件的几何尺寸相关外,还取决于材料的弹性模量和泊松比。因此,可以通过对侧向压缩试验测得的力-位移关系进行非线性拟合,得到材料的弹性模量和泊松比。本文通过对硅胶材料开展轴向与侧向压缩试验,对比两种试验测量得到的弹性模量和泊松比,结果较为一致,验证了本文提出方法的可行性。对于模量较小的软物质,因加载过程的荷载常常较小,系统测量的位移可代表试件的变形位移,故本文提出的新测量方法特别适合应用于该类型材料的相关性能测量。 |
英文摘要: |
Young's modulus and Poisson's ratio are significant mechanical parameters to characterize the properties of the materials. However, the simultaneous measurement of them is not easy in the traditional compression experiments as the pressure, the displacements and the lateral deformation are all needed to be gauged at the same time. In this work, the formula of the displacement-force relationship under the lateral compression is deduced based on the Hertz contact theory. The relationship is determined by the geometric parameters of the materials as well as the Young's modulus and the Poisson's ratio. Therefore, the Young's modulus and the Poisson's ratio can be obtained by nonlinear fitting of the force-displacement relationship measured under lateral compression. The feasibility of the method is verified by comparing the measurements in the axial and the lateral compression tests of silica gel materials, which are in good agreement. As for the soft materials with lower elastic modulus, the load is often smaller in the loading process, so it is rational to substitute the displacement obtained from the testing machine for the actual displacement of the specimen, which makes the new method especially suitable for related mechanical properties measurement of this type of materials. |
查看全文 下载PDF阅读器 |
关闭 |