Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (10): 1349-1360.doi: https://doi.org/10.1007/s10483-016-2139-9

• 论文 • 上一篇    下一篇

Experimental investigation on surface deformation of soft half plane indented by rigid wedge

Xiaohua TAN1,2, Yilan KANG3, E. A. PATTERSON2   

  1. 1. Tianjin Key Laboratory of High Speed Cutting and Precision Machining, Tianjin University of Technology and Education, Tianjin 300222, China;
    2. School of Engineering, University of Liverpool, L693 GH, U. K.;
    3. Tianjin Key Laboratory of Modern Engineering Mechanics, School of Mechanical Engineering, Tianjin University, Tianjin 300072, China
  • 收稿日期:2016-03-18 修回日期:2016-06-20 出版日期:2016-10-01 发布日期:2016-10-01
  • 通讯作者: E. A. PATTERSON E-mail:eann.patterson@liverpool.ac.uk
  • 基金资助:

    Project supported by the National Basic Research Program of China (No.2012CB937500) and the National Natural Science Foundation of China (No.11127292)

Experimental investigation on surface deformation of soft half plane indented by rigid wedge

Xiaohua TAN1,2, Yilan KANG3, E. A. PATTERSON2   

  1. 1. Tianjin Key Laboratory of High Speed Cutting and Precision Machining, Tianjin University of Technology and Education, Tianjin 300222, China;
    2. School of Engineering, University of Liverpool, L693 GH, U. K.;
    3. Tianjin Key Laboratory of Modern Engineering Mechanics, School of Mechanical Engineering, Tianjin University, Tianjin 300072, China
  • Received:2016-03-18 Revised:2016-06-20 Online:2016-10-01 Published:2016-10-01
  • Supported by:

    Project supported by the National Basic Research Program of China (No.2012CB937500) and the National Natural Science Foundation of China (No.11127292)

摘要:

In this work, the mechanical behavior of a block of soft material subject to large deformation from a series of wedge-shaped indenters is evaluated. Data fields acquired from digital image correlation (DIC) are compared with the existing theoretical models. The slope angles of the wedges vary from 5° to 73.5°, and the minimum measurement uncertainties of the DIC system are established in advance to define the accuracy. It is concluded that the assumptions underpinning the analytical theory make it difficult to characterize large deformation of soft materials during contact. The strain fields are also obtained from the measured displacement field and verify the previously postulated existence of two deformation sectors, namely, a so-called shrinkage sector symmetric to the loading axis and an expansion sector, which become smaller with the increasing load and decreasing wedge angle.

关键词: sector division, wedge indentation, large deformation, contact mechanics, digital image correlation (DIC)

Abstract:

In this work, the mechanical behavior of a block of soft material subject to large deformation from a series of wedge-shaped indenters is evaluated. Data fields acquired from digital image correlation (DIC) are compared with the existing theoretical models. The slope angles of the wedges vary from 5° to 73.5°, and the minimum measurement uncertainties of the DIC system are established in advance to define the accuracy. It is concluded that the assumptions underpinning the analytical theory make it difficult to characterize large deformation of soft materials during contact. The strain fields are also obtained from the measured displacement field and verify the previously postulated existence of two deformation sectors, namely, a so-called shrinkage sector symmetric to the loading axis and an expansion sector, which become smaller with the increasing load and decreasing wedge angle.

Key words: sector division, wedge indentation, contact mechanics, digital image correlation (DIC), large deformation

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