Effective Spring Stiffness for a Planar Periodic Array of Collinear Cracks at an Interface between Two Dissimilar Isotropic Materials.
Effective Spring Stiffness for a Planar Periodic Array of Collinear Cracks at an Interface between Two Dissimilar Isotropic Materials.
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DOI：
10.1016/j.mechmat.2010.12.004
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发表时间：
2011-02
期刊：
影响因子：
--
通讯作者：
Seghi RR
中科院分区：
文献类型：
--
作者：
Lekesiz H;Katsube N;Rokhlin SI;Seghi RR
给出了两个不同各向同性材料交界处平面周期共线裂纹的纵向和横向有效弹簧刚度的显式解析表达式；在弹性不同的一般情况下，它们是相同的(解采用众所周知的开放界面裂纹模型)。由于界面弹簧刚度可以通过超声反射和透射分析实验确定，所提出的公式可用于估计两种不同材料之间的脱粘面积百分比，该百分比与界面的剩余强度直接相关。该解清楚地表达了弹性不同、裂纹密度和裂纹相互作用对有效弹簧刚度的影响。结果表明，一般情况下，裂纹相互作用弱依赖于材料的不同，对于大多数实际情况，裂纹相互作用与相同固体之间的裂纹阵列的相互作用几乎相同。这允许将不同材料之间的一组裂纹的有效弹簧刚度近似分解为弹性相异系数和为均匀材料中的裂纹获得的两个因子：非相互作用(独立)裂纹的有效弹簧刚度和裂纹相互作用因子。为了避免裂纹表面穿透区对有效弹簧刚度的影响，在小范围接触条件下，得到了拉伸载荷与横向载荷之比的取值范围。由于实际裂纹通常是轻微张开的(由于先前的加载历史和塑性变形)，因此对于超声应用，只要裂纹长度归一化的中间裂纹张开至少在10−5量级，所得结果就适用于大多数实际的小界面裂纹情况。
Explicit analytical expressions are obtained for the longitudinal and transverse effective spring stiffnesses of a planar periodic array of collinear cracks at the interface between two dissimilar isotropic materials; they are shown to be identical in a general case of elastic dissimilarity (the well-known open interface crack model is employed for the solution). Since the interfacial spring stiffness can be experimentally determined from ultrasound reflection and transmission analysis, the proposed expressions can be useful in estimating the percentage of disbond area between two dissimilar materials, which is directly related to the residual strength of the interface. The effects of elastic dissimilarity, crack density and crack interaction on the effective spring stiffness are clearly represented in the solution. It is shown that in general the crack interaction weakly depends on material dissimilarity and, for most practical cases, the crack interaction is nearly the same as that for crack arrays between identical solids. This allows approximate factorization of the effective spring stiffness for an array of cracks between dissimilar materials in terms of an elastic dissimilarity factor and two factors obtained for cracks in a homogeneous material: the effective spring stiffness for non-interacting (independent) cracks and the crack interaction factor. In order to avoid the effect of the crack surface interpenetration zones on the effective spring stiffness, the range of the tensile to transverse load ratios is obtained under the assumption of small-scale contact conditions. Since real cracks are often slightly open (due to prior loading history and plastic deformation), it is demonstrated that for ultrasound applications the results obtained are valid for most practical cases of small interfacial cracks as long as the mid-crack opening normalized by the crack length is at least in the order of 10−5.
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DOI：
10.1115/1.3625813
发表时间：
1965-01-01
期刊：
JOURNAL OF APPLIED MECHANICS
影响因子：
--
作者：
ENGLAND, AH
通讯作者：
ENGLAND, AH
DOI：
10.1016/0020-7683(93)90052-9
发表时间：
1993-01-01
影响因子：
3.6
作者：
NEMATNASSER, S;YU, N;HORI, M
通讯作者：
HORI, M
影响因子：
2.4
作者：
Baltazar, A;Wang, L;Rokhlin, SI
通讯作者：
Rokhlin, SI
DOI：
10.1115/1.3625814
发表时间：
1965-01-01
期刊：
JOURNAL OF APPLIED MECHANICS
影响因子：
--
作者：
ERDOGAN, F
通讯作者：
ERDOGAN, F
影响因子：
2.5
作者：
Graciani, Enrique;Mantic, Vladislav;Paris, Federico
通讯作者：
Paris, Federico