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Science China(Physics,Mechanics & Astronomy) 2008年第5期51卷 519-531页

作者： Z.J.YANG A.J.DEEKS College of Civil Engineering and Architecture Zhejiang University School of Civil and Resource Engineering University of Western Australia

A frequency-domain approach based on the semi-analytical scaled boundary finite element method(SBFEM) was developed to calculate dynamic stress intensity factors(DSIFs) at bimaterial interface cracks subjected to transient ***-cause the stress solutions of the SBFEM in the frequency domain are analytical in the radial direction,and the complex stress singularity at the bimaterial interface crack tip is explicitly represented in the stress solutions,the mixed-mode DSIFs were calculated directly by *** complex frequency-response functions of DSIFs were then used by the fast Fourier transform(FFT) and the inverse FFT to calculate time histories of DSIFs.A benchmark example was *** re-sults were obtained by modelling the example with a small number of degrees of freedom due to the semi-analytical nature of the SBFEM.

关键词： scaled boundary finite element method bimaterial interface crack frequency domain dynamic stress intensity factors fast Fourier transform

SINGULAR FIELDS OF A MODE Ⅲ INTERFACE CRACK IN A POWER-LAW HARDENING bimaterial

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Acta Mechanica Sinica 1992年第2期8卷 140-146页

作者：余寿文周志刚 Tsinghua University Beijing 100084China

A high order of asymptotic solution of the singular fields near the tip of a mode Ⅲ interface crackfor pure power law hardening bimaterials is obtained by using the hodograph *** is found thatthe zero order of the asymptotic solution corresponds to the assumption of a rigid substrate at the interfaceand the first order of it is deduced in order to satisfy completely two continuity conditions of the stress anddisplacement across the interface in the asymptotic *** singularities of stress and strain of the zerothorder asymptotic solutions are-1/r（n;+1）and-n/（n;+1）respectively.（n=n;,n;is the hardening expo-nent of the bimaterials.）The applicability conditions of the asymptotic solutions are determined for bothzeroth and first orders. It is proved that the Guo-Keer solution is limited in some *** functions of the singular fields for this interface crack problem are first expressed by closed form.

关键词： singular helds mode Ⅲ interface crack power-law hardening bimaterial asymdtotic solution

Green's functions of two-dimensional piezoelectric quasicrystal in half-space and bimaterials

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Applied Mathematics and Mechanics(English Edition) 2023年第2期44卷 237-254页

作者： Xiaoyu FU Xiang MU Jinming ZHANG Liangliang ZHANG Yang GAO College of Science China Agricultural UniversityBeijing 100083China College of Engineering China Agricultural UniversityBeijing 100083China

In this paper,we obtain Green’s functions of two-dimensional(2D)piezoelectric quasicrystal(PQC)in half-space and *** on the elastic theory of QCs,the Stroh formalism is used to derive the general solutions of displacements and ***,we obtain the analytical solutions of half-space and bimaterial Green’s ***,the interfacial Green’s function for bimaterials is also obtained in the analytical *** numerical studies,a comparative study is carried out to validate the present *** numerical examples are performed to investigate the effects of multi-physics loadings such as the line force,the line dislocation,the line charge,and the phason line *** a result,the coupling effect among the phonon field,the phason field,and the electric field is prominent,and the butterfly-shaped contours are characteristic in 2D *** addition,the changes of material parameters cause variations in physical quantities to a certain degree.

关键词： Green’s function two-dimensional(2D)piezoelectric quasicrystal(PQC) Stroh formalism half-space bimaterial

Line-integral representations for extended displacements, stresses,and interaction energy of arbitrary dislocation loops in transversely isotropic magneto-electro-elastic bimaterials

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Applied Mathematics and Mechanics(English Edition) 2014年第8期35卷 1005-1028页

作者：袁江宏陈伟球 E.PAN Department of Civil Engineering Zhejiang University Department of Engineering Mechanics Zhejiang University Department of Civil Engineering and Department of Applied Mathematics University of AkronAkronOH 44325U.S.A.

In addition to the hexagonal crystals of class 6 mm, many piezoelectric materials （e.g., BaTiO3）, piezomagnetic materials （e.g., CoFe2O4）, and multiferroic com-posite materials （e.g., BaTiO3-CoFe2O4 composites） also exhibit symmetry of transverse isotropy after poling, with the isotropic plane perpendicular to the poling direction. In this paper, simple and elegant line-integral expressions are derived for extended displace-ments, extended stresses, self-energy, and interaction energy of arbitrarily shaped, three-dimensional （3D） dislocation loops with a constant extended Burgers vector in trans-versely isotropic magneto-electro-elastic （MEE） bimaterials （i.e., joined half-spaces）. The derived solutions can also be simply reduced to those expressions for piezoelectric, piezo-magnetic, or purely elastic materials. Several numerical examples are given to show both the multi-field coupling effect and the interface/surface effect in transversely isotropic MEE materials.

关键词： dislocation loop multiferroic transverse isotropy bimaterial half space extended displacement extended stress interaction energy

CRACK KINKING IN PIEZOELECTRIC MATERIALS

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Acta Mechanica Sinica 1998年第4期14卷 339-352页

作者：秦庆华 Dept.of Mechanical Engineering University of SydneySydneyNSW 2006Australia

The solution for a class of two-dimensional electro- elastic branched crack problems was presented. Explicit Green's function for an interface crack subjected to an edge dislocation was developed using the extended Stroh formulation, which allows the branched crack problem to be expressed in terms of coupled singular integral equations. The kink was modelled as the continuous distribution of edge dislocations and the dislocation density function was defined on the line of the branch crack only. Competition between crack extension along the interface and kinking into the substrate was investigated using the integral equations and the maximum energy release rate criterion. The numerical results have shown the effect of electric field on the path of crack extension. (Edited author abstract) 24 Refs.

关键词： piezoelectric crack fracture dislocation bimaterial

AN INVESTIGATION ON STRESS INTENSITY FACTORS OF INTERFACE CRACK FOR THREE TYPES OF SPECIMENS

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Acta Mechanica Solida Sinica 2000年第1期13卷 42-49页

作者： Shi Junping Liu Xiehui Mo Xiaoyi Chen Yiheng Department of Engineering Mechanics Xi'an Universiry of TechnologyXi'an 710048China School of Civil Eingineering and Mechanics Xi'an Jiaotong UniversityXi'an 710049China

The problems of finite bimaterial plates, hearing uniform tension, compact: tension and three point bending, are studied by using the eigenfunction expansion variation method (EEVM). And interfacial stress intensity factors (SIFs) are determined. The SIFs varying with shear modulus mu and Poisson's ratios nu of both materials are discussed.

关键词： bimaterial eigenfunction expansion interface crack stress intensity factors

THE ELASTIC FIELD CASED BY TWO INCLUSIONS WITH UNI- FORM DILATATIONAL EIGENSTRAINS IN DISSIMILAR MEDIA

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Journal of Shanghai Jiaotong university(Science) 2001年第2期6卷 142-146页

作者：俞家欢匡震邦 Dept. of Eng. Mechanics Shanghai Jiaotong Univ. Dept. of Eng. Mechanics Shanghai Jiaotong Univ. Shanghai 200240 China

The displacement and the stress states cased by single inclusion are achieved from the fundamental solutions such as nuclei of strain in bimaterals. The elastic field induced by multiple inclusions in dissimilar media could be found from the superstition of that of individual precipitate. In this paper, the effect of the planner interface with parameters of depth from the interface, both pairs of elastic moduli and also shapes of the inclusion are also given, which are of great significance in physical applications.

关键词： image method harmonic potential functions bimaterial dilatational eigenstrain