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A DECAGONAL QUASICRYSTAL WITH AN arc-shaped crack

Acta Mechanica Solida Sinica 2003年第1期16卷 8-15页

作者： Wang Xu Zhong Zheng Tongji Univ Dept Engn Mech & Technol Key Lab Solid Mech Shanghai 200092 Peoples R China

A decagonal quasicrystal, which is weakened by an arc-shaped crackpenetrating through the solid in the period direction, and which is subjected to remote uniformphonon stresses, is investigated by applying the complex variable method which is just developed bythe authors. It is found that the phonon and phason stresses near the crack tips exhibit inversesquare root singularities. The four complex stress functions characterizing the phonon and phasonfields are derived. Explicit expressions for the phonon and phason stress intensity factors, crackopening displacements and energy release rate are also presented.

关键词： decagonal quasicrystal arc-shaped crack stress intensity factor energyrelease rate

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SHEAR WAVE SCATTERING FROM A PARTIALLY DEBONDED PIEZOELECTRIC CYLINDRICAL INCLUSION

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Acta Mechanica Solida Sinica 2004年第3期17卷 258-269页

作者： FengWenjie WangLiqun JiangZhiqing ZhaoYongmao DepartmentofMechanicsandEngineeringScience ShijiazhuangRailwayInstituteShijiazhuang050043China

The scattering of SH wave by a cylindrical piezoelectric inclusion partially debonded from its surrounding piezoelectric material is investigated using the wave function expansion method and singular integral equation technique. The debonding regions are modeled as mul- tiple arc-shaped interface cracks with non-contacting faces. By expressing the scattered ?elds as wave function expansions with unknown coe?cients, the mixed boundary value problem is ?rstly reduced to a set of simultaneous dual series equations. Then dislocation density functions are introduced as unknowns to transform these dual series equations into Cauchy singular integral equations of the ?rst type, which can be numerically solved easily. The solution is valid for arbi- trary number and size of the debonds. Finally, numerical results of the dynamic stress intensity factors are presented for the cases of one debond and two debonds. The e?ects of incidence direc- tion, crack con?guration and various material parameters on the dynamic stress intensity factors are respectively discussed. The solution of this problem is expected to ?nd applications in the investigation of dynamic fracture properties of piezoelectric materials with cracks.

关键词： arc-shaped crack piezoelectric material wave scattering singular integral equation dynamic stress intensity factor

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