| 钢化真空玻璃球形支撑的玻璃压痕应力场理论及分析 |
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| 引用本文： | 蔺海晓,刘志红,岳高伟.钢化真空玻璃球形支撑的玻璃压痕应力场理论及分析[J].硅酸盐通报,2021,40(11):3822-3828. |
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| 作者姓名： | 蔺海晓 刘志红 岳高伟 |
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| 作者单位： | 河南理工大学土木工程学院,焦作 454000 |
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| 基金项目： | 河南省力学一级学科资助项目(教高[2018]119号) |
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| 摘 要： | 针对钢化真空玻璃球形支撑物对玻璃压痕的应力场分布问题,采用接触力学,对Hertzian压痕方程进行了修正,推导了三维应力场方程,同时,对完全发展的锥形裂纹的应力强度因子进行了数值求解。结果表明,在球体与玻璃接触区域内,所有的主应力都是压应力,主应力σ1导致了裂纹的萌生,而主应力σ2形成了环形裂纹。与玻璃表面正交的最小主应力从接触边缘向外偏离,形成的近似平行的曲线即为锥形裂纹的形状,而最大拉应力总是垂直于这些曲线。因此,在最大主拉应力的作用下,球体加载后裂纹遵循最小主应力的轨迹。裂纹尖端的应力强度因子决定了断裂韧性,随着裂纹的扩展,应力强度因子减小,在离表面一定距离后,应力强度因子达到临界值,裂纹停止。不同压痕载荷下的归一化应力强度因子是一组具有相似形状的曲线。
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| 关 键 词： | 钢化真空玻璃 支撑物 压痕应力场 断裂韧性 应力强度因子 |
| 收稿时间： | 2021-06-08 |
Theory and Analysis of Glass Indentation Stress Field of Tempered Vacuum Glass with Spherical Support |
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| LIN Haixiao,LIU Zhihong,YUE Gaowei.Theory and Analysis of Glass Indentation Stress Field of Tempered Vacuum Glass with Spherical Support[J].Bulletin of the Chinese Ceramic Society,2021,40(11):3822-3828. |
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| Authors: | LIN Haixiao LIU Zhihong YUE Gaowei |
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| Affiliation: | School of Civil Engineering, Henan Polytechnic University, Jiaozuo 454000, China |
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| Abstract: | In view of the stress field distribution of glass indentation caused by the spherical support of tempered vacuum glass, the Hertzian indentation equation was modified by using contact mechanics, and the three-dimensional stress field equations were derived. At the same time, the stress intensity factor of fully developed conical crack was numerically solved. The numerical results show that all the principal stresses inside the contact area between the sphere and the glass are compressive. The principal stress σ1 leads to the initiation of the crack, while the principal stress σ2 forms the annular crack. The minimum principal stress is perpendicular to the glass surface, and then deviates from the contact edge, which forms the approximately parallel curves. And the maximum tensile stress is always perpendicular to these curves. Therefore, under the action of the maximum principal tensile stress, the crack follows the trajectory of the minimum principal stress. The stress intensity factor at the crack tip determines the fracture toughness. With the crack propagation, the stress intensity factor decreases. After a certain distance from the surface, the stress intensity factor reaches the critical value and the crack stops. The normalized stress intensity factor under different indentation loads is a set of curves with similar shapes. |
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| Keywords: | tempered vacuum glass support indentation stress field fracture toughness stress intensity factor |
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