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Stress Intensity Factor of a Central Interface Crack in a Bonded Strip under Arbitrary Material Combination

机译:任意材料结合下粘结带中心界面裂纹的应力强度因子

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Although a lot of interface crack problems were previously treated, few solutions are available under arbitrary material combination. This paper deals with one central interface crack and numerical interface cracks in a bonded strip. Then, the effects of material combination on the stress intensity factors are discussed. A useful method to calculate the stress intensity factor of interface crack is presented with focusing on the stress at the crack tip calculated by the finite element method. For one central interface crack, it is found that the results of bonded strip under remote uni-axial tension are always depending on the Dunders' parameters α ,p and different from the well-known solution of the central interface crack under internal pressure that is only depending on β. Besides, it is shown that the stress intensity factor of bonded strip can be estimated from the stress of crack tip in the bonded plate when there is no crack. It is also found that F_1 < 1 when (a + 2β)(<α - 2β) > 0, F_1 > 1 when (α + 2β){α - 2β) < 0, and F, = 1 when (α + 2β)(a - 2β) = 0. For numerical interface cracks , values of F_Ⅰ and F_Ⅱ with arbitrary material combination expressed by α , β are obtained.
机译:尽管以前已经解决了许多界面裂纹问题,但在任意材料组合下几乎没有解决方案。本文讨论了粘结带中的一个中心界面裂纹和数值界面裂纹。然后,讨论了材料组合对应力强度因子的影响。着重介绍了有限元法计算的裂纹尖端处的应力,为计算界面裂纹的应力强度因子提供了一种有用的方法。对于一个中心界面裂纹,发现在远距离单轴张力下粘结带的结果始终取决于邓德斯参数α,p,并且与内部压力下的中心界面裂纹的公知解不同,即仅取决于β。此外,还表明,在没有裂纹的情况下,可以根据粘结板中裂纹尖端的应力来估算粘结带的应力强度因子。还发现当(a +2β)(<α-2β)> 0时F_1 <1,(α+2β){α-2β)<0时F_1> 1,当(α+2β )(a-2β)=0。对于数值界面裂纹,可以得到用任意材料组合用α,β表示的F_Ⅰ和F_Ⅱ值。

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