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FRACTURE ANALYSIS OF A FUNCTIONALLY GRADED STRIP UNDER PLANE DEFORMATION

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Acta Mechanica Solida Sinica 2006年第2期19卷 114-121页

作者： cheng zhanqi zhong zheng school of aerospace engineering and applied mechanics Tongji University Shanghai 200092 China Collage of Civil engineering Zhengzhou University Zhengzhou 450002 China

In this paper the plane elasticity problem for a functionally graded strip containing a crack is considered. It is assumed that the reciprocal of the shear modulus is a linear function of the thickness-coordinate, while the Possion＇s ratio keeps constant. By utilizing the Fourier transformation technique and the transfer matrix method, the mixed boundary problem is reduced to a system of singular integral equations that are solved numerically. The influences of the geometric parameters and the graded parameter on the stress intensity factors and the strain energy release rate are investigated. The numerical results show that the graded parameters, the thickness of the strip and the crack size have significant effects on the stress intensity factors and the strain energy release rate.

关键词： functionally graded materials strip fracture stress intensity factors strain energy release rate

CRACK PROPAGATING IN FUNCTIONALLY GRADED COATING WITH ARBITRARILY DISTRIBUTED MATERIAL PROPERTIES BONDED TO HOMOGENEOUS SUBSTRATE

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Acta Mechanica Solida Sinica 2010年第5期23卷 437-446页

作者： zhanqi cheng Danying Gao zheng zhong school of Civil engineering Zhengzhou University Zhengzhou 450001 China school of aerospace engineering and applied mechanics Tongji University Shanghai 200092 China

In this paper, a finite crack with constant length （Yoffe type crack） propagating in a functionally graded coating with spatially varying elastic properties bonded to a homogeneous substrate of finite thickness under anti-plane loading was studied. A multi-layered model is employed to model arbitrary variations of material properties based on two linearly-distributed material compliance parameters. The mixed boundary problem is reduced to a system of singular integral equations that are solved numerically. Some numerical examples are given to demonstrate the accuracy, efficiency and versatility of the model. The numerical results show that the graded parameters, the thicknesses of the interfacial layer and the two homogeneous layers, the crack size and speed have significant effects on the dynamic fracture behavior.

关键词： functionally graded material~ moving crack dynamical stress intensity factors multi-layered model

ANALYSIS OF TWO DISSIMILAR FUNCTIONALLY GRADED STRIPS CONTAINING INTERFACE CRACK UNDER PLANE DEFORMATION

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Acta Mechanica Solida Sinica 2013年第1期26卷 35-45页

作者： Haiyang Li Xingtao Zhang zhanqi cheng Danying Gao zheng zhong zhengzhou Electromechanic engineering Research Institute school of Civil engineering Zhengzhou University school of aerospace engineering and applied mechanics Tongji University

In this paper the plane elasticity problem of two bonded dissimilar functionally graded strips containing an interface crack is studied. The governing equation in terms of Airy stress function is formulated and exact solutions are obtained for several special variations of material properties in Fourier transformation domain. The mixed boundary problem is reduced to a system of singular integral equations that are solved numerically. Numerical results show that fracture toughness of materials can be greatly improved by graded variation of elastic modulus and the influence of the specific form of elastic modulus on the fracture behavior of FGM is limited.

关键词： functionally graded materials stress intensity factor Fourier transformation singular integral equations

基于电-化-热耦合理论对称双阴极固体氧化物燃料电池堆的电流与温度场数值模拟

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电化学 2020年第6期26卷 789-796页

作者：俞成荣朱建国蒋聪盈谷宇晨周晔欣李卓斌邬荣敏仲政官万兵江苏大学土木工程与力学学院江苏镇江212013 中国科学院宁波材料技术与工程研究所浙江宁波315201 同济大学航空航天工程与力学学院上海200092 哈尔滨工业大学(深圳)理学院广东深圳518055 浙江浙能技术研究院有限公司浙江杭州311121

本文基于电-化-热多场耦合理论,通过有限元方法建立了一个基于对称双阴极结构SOFC电堆单元的三维数值模型,研究了其电堆内部的电流密度分布和温度分布.研究结果表明,气体流动方式以及集流方式影响了电解质上电流密度和温度分布:在气体... 详细信息

本文基于电-化-热多场耦合理论,通过有限元方法建立了一个基于对称双阴极结构SOFC电堆单元的三维数值模型,研究了其电堆内部的电流密度分布和温度分布.研究结果表明,气体流动方式以及集流方式影响了电解质上电流密度和温度分布:在气体进、出气口处有较大的电流密度分布;在气体共流模式下,电解质层温度分布却较均匀;在双阴极结构电池阴极侧的单一集流模式下,集流侧的电解质的平均电流密度高于另一侧.

关键词：对称双阴极固体氧化物燃料电池多场耦合共流与逆流集流