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MULTIPLE PARALLEL SYMMETRIC PERMEABLE MODEL-Ⅲ CRACKS IN A PIEZOELECTRIC/PIEZOMAGNETIC COMPOSITE MATERIAL PLANE

Acta Mechanica Solida Sinica 2010年第4期23卷 336-352页

作者： zhengong zhou peiwei zhang linzhi wu P.O.Box 3010 No.2 Yikuang Street Center for Composite Materials and Structures Harbin Institute of Technology Harbin 150080 China

In this paper, the interactions of multiple parallel symmetric and permeable finite length cracks in a piezoelectric/piezomagnetic material plane subjected to anti-plane shear stress loading are studied by the Schmidt *** problem is formulated through Fourier transform into dual integral equations, in which the unknown variables are the displacement jumps across the crack *** solve the dual integral equations, the displacement jumps across the crack surfaces are directly expanded as a series of Jacobi ***, the relation between the electric field, the magnetic flux field and the stress field near the crack tips is *** results show that the stress, the electric displacement and the magnetic flux intensity factors at the crack tips depend on the length and spacing of the *** is also revealed that the crack shielding effect presents in piezoelectric/piezomagnetic materials.

关键词： piezoelectric/piezomagnetic composites multiple parallel symmetric cracks crack shielding effect mechanics of solids

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The non-local theory solution of a Griffith crack in functionally graded materials subjected to the harmonic anti-plane shear waves

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Science China(Technological Sciences) 2007年第2期50卷 154-165页

作者： zhang peiwei zhou zhengong wu linzhi Center for Composite Materials and Structures Harbin Institute of TechnologyHarbin 150080China

In this paper, the dynamic stress field near crack tips in the functionally graded materials subjected to the harmonic anti-plane shear stress waves was investi- gated by means of the non-local theory. The traditional concepts of the non-local theory were extended to solve the fracture problem of functionally graded materials. To make the analysis tractable, it was assumed that the material properties vary exponentially with coordinate parallel to the crack. By use of the Fourier transform, the problem can be solved with the help of a pair of dual integral equations, in which the unknown variable was the displacement on the crack surfaces. To solve the dual integral equations, the displacement on the crack surfaces was expanded in a series of Jacobi polynomials. Unlike the classical elasticity solutions, it is found that no stress singularities are present at crack tips. The non-local elastic solutions yield a finite hoop stress at crack tips, thus allowing us to use the maximum stress as a fracture criterion. The magnitude of the finite dynamic stress field depends on the crack length, the parameter describing the functionally graded materials, the circular frequency of the incident waves and the lattice parameter of materials.

关键词： crack functionally graded materials waves

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