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Analytical modeling of imperfect bond between coated fibers and matrix material.

机译：涂层纤维和基体材料之间不完美结合的分析模型。

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Ceramic materials are an attractive choice in many applications in the automotive and aerospace industries. However, due to the high cost of manufacturing and fabrication of ceramics, metallic materials are an integral part of most typical ceramics based engineering applications. In order to take advantage of the strength of both materials, the bonding between these components should guarantee the combined performance.; Composite structures comprised of layers of different materials may be subjected to stresses due to external loads and thermal misfit of these materials. These stresses may cause cracking and delamination of the layers, or debonding of the coatings. Cracks may initiate at the interface and propagate towards the inner layers. In these types of problems interface toughness is an important parameter in helping engineers determine the stability of the interface crack. In order to ascertain the interface toughness, the strain energy release rates at the tips of the interface crack needs to be evaluated.; The present study is intended to find the stress intensity factors (SIF) and strain energy release rates (SERR) at the tips of an interface crack in a nonhomogeneous medium. In the considered boundary-value problem, a three-phase concentric cylinder model was used to analyze annular interfacial crack problems with Love's strain functions. The complex form of the second kind of singular integral equation was formulated using Bessel's functions in Fourier domain. The (SIF) and (SERR) were calculated by use of Jacobi polynomials.; An axisymmetric finite element model was generated and SERR was obtained by modified crack closure technique to verify analytical results.
机译：陶瓷材料在汽车和航空航天工业的许多应用中是有吸引力的选择。但是，由于陶瓷制造和制造的高成本，金属材料是大多数基于陶瓷的典型工程应用中不可或缺的一部分。为了利用两种材料的强度，这些组件之间的粘合应保证综合性能。由不同材料的层组成的复合结构可能会由于这些材料的外部负载和热失配而承受应力。这些应力可能会导致层的破裂和分层，或涂层的剥离。裂纹可能在界面处引发并向内层传播。在这些类型的问题中，界面韧性是帮助工程师确定界面裂纹稳定性的重要参数。为了确定界面韧性，需要评估界面裂纹尖端处的应变能释放率。本研究旨在发现非均质介质中界面裂纹尖端的应力强度因子（SIF）和应变能释放速率（SERR）。在考虑的边值问题中，使用三相同心圆柱模型分析具有Love应变函数的环形界面裂纹问题。第二类奇异积分方程的复数形式是使用贝塞尔函数在傅立叶域中公式化的。 （SIF）和（SERR）是使用Jacobi多项式计算的。建立了轴对称有限元模型，并通过改进的裂纹闭合技术获得了SERR，以验证分析结果。

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