Interface Debonding Model and its Application to the Mixed Mode Interface Fracture Toughness

Interface Debonding Model and its Application to the Mixed Mode Interface Fracture Toughness
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界面脱粘模型及其在混合模式界面断裂韧性中的应用

DOI:
10.1106/105678902026413
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发表时间:
2002
影响因子:
4.2
通讯作者:
Wei Yang
Wei Yang
中科院分区:
工程技术2区
文献类型:
--
作者:
M. Omiya;K. Kishimoto;Wei Yang

文献摘要

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本文旨在研究界面裂纹的复合型断裂韧性。通过修正Ma和Kishimoto(Ma,F.和Kishimoto,K(1996)提出的粘结界面模型来模拟裂纹的扩展。连续体界面脱粘模型及其在复合材料基体开裂中的应用J.系列A,39:496-507)。基于热力学内变量理论,建立了界面牵引力与界面分离相结合的连续介质界面本构模型。通过引入界面损伤变量,建立了表征界面脱粘引起的界面刚性退化的演化方程。将本构关系嵌入界面裂纹尖端,用有限元方法模拟了界面裂纹的扩展过程。结果表明,不同材料的断裂韧性和断裂边界曲线取决于界面应力强度因子中包含的特征长度的定义。通过适当改变特征长度,并用临界应力强度因子进行归一化处理,可以得到本征断裂边界曲线。该曲线可作为基于界面应力强度因子的断裂判据。断裂韧性与相角的关系也受特征长度的影响。通过改变相角,断裂韧度数据位于同一趋势曲线上,数值计算结果与所有材料对的解粘能解析解符合得很好。
The aim of this paper is to investigate the mixed mode fracture toughness of an interface crack. The crack propagation is simulated by modifying a cohesive interface model proposed by Ma and Kishimoto (Ma, F. and Kishimoto, K. (1996). A Continuum Interface Debonding Model and Application to Matrix Cracking of Composites, JSME Int. J. Series A, 39:496–507). Based on the internal variable theory of thermodynamics, a continuum interface constitutive model relating interface traction with interface separation has been developed. By introducing an interface damage variable, an evolution equation was derived to characterize the degradation of interfacial rigidity with interface debonding. This constitutive relation is embedded at the crack tip of the interface and the propagation of the interface crack is simulated by the Finite Element Method. The results show that the fracture toughness and fracture boundary curves of dissimilar materials depend on the definition of the characteristic length included in the interface stress intensity factors. By changing the characteristic length properly and normalizing with the critical stress intensity factors, the intrinsic fracture boundary curve can be obtained. This curve can be considered as the fracture criterion based on the interface stress intensity factors. The relation between the fracture toughness and the phase angle is also influenced by the characteristic length. By changing the phase angle, the fracture toughness data is located on the same trend curve and the numerical results are well consistent with the analytical decohesion energy for all material pairs.