混合型應力強度因子的光彈性多參數測定

趙熙; 鞠楊; 鄭澤民

doi:10.13374/j.issn2095-9389.2017.08.020

混合型應力強度因子的光彈性多參數測定

doi: 10.13374/j.issn2095-9389.2017.08.020

趙熙^1,2,
鞠楊^3,4, ,,
鄭澤民¹

1) 中國礦業大學(北京)力學與建筑工程學院, 北京 100083
2) 蘇州電器科學研究院股份有限公司, 蘇州 215104
3) 中國礦業大學(北京)煤炭資源與安全開采國家重點實驗室, 北京 100083
4) 中國礦業大學深部巖土力學與地下工程國家重點實驗室, 徐州 221116

基金項目:

江蘇省創新團隊資助項目(2014-27)

國家杰出青年科學基金資助項目(51125017)

國家自然科學基金資助項目(51374213)

詳細信息

中圖分類號: O348.1
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出版歷程
- 收稿日期: 2016-08-10

Multiple parameter measurement of mixed-mode stress intensity factors using the photoelastic method

ZHAO Xi^1,2,
JU Yang^{3,4
, ,},
ZHENG Ze-min¹

1) School of Mechanics & Civil Engineering, China University of Mining & Technology Beijing, Beijing 100083, China
2) Suzhou Electrical Apparatus Science Research Institute Co. Ltd., Suzhou 215104, China
3) State Key Laboratory of Coal Resources and Safe Mining, China University of Mining & Technology Beijing, Beijing 100083, China
4) State Key Laboratory for Geomechanics & Deep Underground Engineering, China University of Mining & Technology, Xuzhou 221116, China

摘要

摘要: 提高裂紋尖端應力強度因子值的計算精度,對于準確分析受力結構的起裂條件和破壞模式具有重要意義.本文采用3D打印技術獲得了不含殘余應力的平板模型,高精度打印預置裂紋避免了傳統加工過程產生殘余應力的缺點;綜合考慮奇異場和非奇異場對裂紋尖端區域應力場的影響,引入遠場邊界控制的三個常數項應力,提出了光彈性多參數法;采用三點彎曲試驗,運用最小二乘法計算了不同載荷下純I型和I-Ⅱ混合型應力強度因子值,并與理論解對比分析.結果表明:對于純I型應力強度因子,計算結果的平均誤差為6.1%,對于I-Ⅱ混合型應力強度因子,計算結果的平均誤差分別為6.4%和5.5%,多參數法與理論解相比較小的計算誤差驗證了該方法的可靠性和準確性,可為精確計算應力強度因子的光彈性實驗研究提供借鑒.
- 光彈性法 /
- 3D打印 /
- 混合型應力強度因子 /
- 非奇異應力 /
- 最小二乘法
Abstract: Precise calculation of the stress intensity factors at crack tips is of great significance in accurate analysis of a structure's crack initiation and fracture mode. In this research, a three-dimensional printing technique was adopted to manufacture a non-residual stress plate model, where high-precision printed pre-cracks avoid the occurrence of residual stress compared to traditional manufacturing processes. By comprehensively considering the singular and non-singular stresses at the near-crack-tip region, three constant stresses controlled by the far field were adopted. Multiple parameters of the photoelastic method combined with the least-squares method were applied to analyze the stress intensity factors of mode I and mixed modes in three-point bending tests under different loads, and a theoretical solution comparison was conducted. Results show that compared with the theoretical solution, the average calculation error for the mode I stress intensity factor is 6.1% and those for I-Ⅱ mixed modes are 6.4% and 5.5%, respectively. This slight calculation error verifies the reliability and accuracy of the multiple-parameter method and provides a reference for further precise calculations of the stress intensity factors using the photoelastic method.
- photoelastic method /
- three-dimensional printing /
- mixed-mode stress intensity factor /
- non-singular stress /
- least-squares method

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參考文獻(17)

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