本文選題：三維裂紋　切入點：裂紋尖端應(yīng)力場　出處：《航空動力學(xué)報》2016年06期 　論文類型：期刊論文

【摘要】：提出一種基于無限大體裂紋尖端彈性應(yīng)力場理論解的前幾項多項式函數(shù),對實際裂紋體彈性應(yīng)力場有限元解進(jìn)行擬合來計算應(yīng)力強(qiáng)度因子的方法.該方法在計算應(yīng)力強(qiáng)度因子時不需要預(yù)先假設(shè)裂紋尖端的應(yīng)力應(yīng)變狀態(tài),應(yīng)力強(qiáng)度因子計算結(jié)果更符合三維裂紋體裂紋尖端實際的應(yīng)力應(yīng)變狀態(tài).首先基于二維無限大板中心穿透裂紋應(yīng)力場理論解驗證了方法的有效性,探討了擬合確定應(yīng)力強(qiáng)度因子需要的多項式應(yīng)力函數(shù)的項數(shù).然后分別以二維大板中心穿透裂紋、三維大體內(nèi)埋圓裂紋和三維有限厚板中心穿透裂紋的應(yīng)力強(qiáng)度因子計算為例,通過與無限大板和無限大體應(yīng)力強(qiáng)度因子理論解以及基于位移外推法和1/4節(jié)點張開位移法的應(yīng)力強(qiáng)度因子有限元解的對比分析,驗證了該方法的有效性和合理性.研究表明該方法能夠合理反映三維裂紋體裂紋尖端的實際應(yīng)力應(yīng)變狀態(tài),計算得到的應(yīng)力強(qiáng)度因子數(shù)值更合理.
[Abstract]:A first polynomial function based on the theoretical solution of elastic stress field at the tip of an infinite crack is proposed. The stress intensity factor is calculated by fitting the finite element solution of the elastic stress field of the actual crack body, which does not require the presupposition of the stress and strain state at the crack tip in the calculation of the stress intensity factor. The calculated results of stress intensity factor are more consistent with the actual stress and strain state at the crack tip of a three-dimensional cracked body. Firstly, the validity of the method is verified based on the theoretical solution of the stress field of a two-dimensional infinite plate with a central penetrating crack. The term number of polynomial stress function for fitting stress intensity factor is discussed, and then the calculation of stress intensity factor for two dimensional large plate center penetrating crack, three dimensional large body buried circle crack and three dimensional finite thickness plate center penetrating crack is taken as an example. The finite element solution of stress intensity factor based on displacement extrapolation method and 1/4 node opening displacement method is compared with the theoretical solution of infinite plate and infinite general stress intensity factor, and the finite element solution of stress intensity factor based on displacement extrapolation method and 1/4 node opening displacement method. The validity and rationality of the method are verified. The results show that the method can reasonably reflect the actual stress-strain state at the crack tip of a three-dimensional cracked body, and the calculated values of the stress intensity factor are more reasonable.
【作者單位】： 南京航空航天大學(xué)能源與動力學(xué)院江蘇省航空動力系統(tǒng)重點實驗室;南京航空航天大學(xué)機(jī)械結(jié)構(gòu)力學(xué)及控制國家重點實驗室;
【分類號】：V231.91

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本文編號：1592321