112 Stress Intensity Factor and Electric Displacement Intensity Factor of Interface Cracks between Piezoelectric Inhomogeneity and Matrix

Based on the Gurtin–Murdoch surface/interface model and complex potential theory, by constructing a new conformal mapping, the anti-plane fracture problem of three nano-cracks emanating from a magnetoelectrically permeable triangle nano-hole in magnetoelectroelastic materials with surface effect is studied. The exact solutions of the stress intensity factor, the electric displacement intensity factor, the magnetic induction intensity factor, and the energy release rate are obtained under the boundary conditions of magnetoelectrically permeable and impermeable. The numerical examples show the influence of surface effect on the stress intensity factor, the electric displacement intensity factor, the magnetic induction intensity factor, and the energy release rate under two different boundary conditions. It can be seen that the surface effect leads to the coupling of stress, electric and magnetic field, and with the increase of cavity size, the influence of surface effect begins to decrease until it tends to classical elasticity theory.

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Antiplane Fracture Problem of Three Nanocracks Emanating from an Electrically Permeable Hexagonal Nanohole in One-Dimensional Hexagonal Piezoelectric Quasicrystals

Mathematical Problems in Engineering ◽

10.1155/2020/1372474 ◽

2020 ◽

Vol 2020 ◽

pp. 1-14

Author(s):

Dongsheng Yang ◽

Guanting Liu

Keyword(s):

Stress Intensity ◽

Intensity Factor ◽

Boundary Conditions ◽

Energy Release Rate ◽

Release Rate ◽

Surface Effect ◽

Electric Displacement ◽

One Dimensional ◽

Phonon Field ◽

Electric Displacement Intensity Factor

Based on the Gurtin-Murdoch surface/interface model and complex potential theory, by constructing a new conformal mapping, the electrically permeable boundary condition with surface effect is established, and the antiplane fracture problem of three nanocracks emanating from a hexagonal nanohole in one-dimensional hexagonal piezoelectric quasicrystals with surface effect is studied. The exact solutions of the stress intensity factor of the phonon field and the phason field, the electric displacement intensity factor, and the energy release rate are obtained under the two electrically permeable and the electrically impermeable boundary conditions. The numerical examples show the influence of surface effect on the stress intensity factors of the phonon field and the phason field, the electric displacement intensity factor, and the energy release rate under the two boundary conditions. It can be seen that the surface effect leads to the coupling of the phonon field, phason field, and electric field, and with the decrease of cavity size, the influence of surface effect is more obvious.

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On the Complex Stress Intensity Factor for Split type Interface Cracks Based on an Approximate Method

International Journal of Fracture ◽

10.1007/s10704-013-9806-7 ◽

2013 ◽

Vol 180 (2) ◽

pp. 275-282

Author(s):

Huseyin Lekesiz

Keyword(s):

Stress Intensity Factor ◽

Stress Intensity ◽

Intensity Factor ◽

Approximate Method ◽

Complex Stress ◽

Interface Cracks ◽

Complex Stress Intensity Factor

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Stress Intensity Factor for Interface Cracks in Bimaterials Using Complex Variable Meshless Manifold Method

Mathematical Problems in Engineering ◽

10.1155/2014/353472 ◽

2014 ◽

Vol 2014 ◽

pp. 1-8 ◽

Cited By ~ 3

Author(s):

Hongfen Gao ◽

Gaofeng Wei

Keyword(s):

Stress Intensity Factor ◽

Stress Intensity ◽

Intensity Factor ◽

Complex Variable ◽

Interfacial Crack ◽

Dissimilar Materials ◽

Complex Stress ◽

Interface Cracks ◽

Interfacial Cracks ◽

Crack Problems

This paper describes the application of the complex variable meshless manifold method (CVMMM) to stress intensity factor analyses of structures containing interface cracks between dissimilar materials. A discontinuous function and the near-tip asymptotic displacement functions are added to the CVMMM approximation using the framework of complex variable moving least-squares (CVMLS) approximation. This enables the domain to be modeled by CVMMM without explicitly meshing the crack surfaces. The enriched crack-tip functions are chosen as those that span the asymptotic displacement fields for an interfacial crack. The complex stress intensity factors for bimaterial interfacial cracks were numerically evaluated using the method. Good agreement between the numerical results and the reference solutions for benchmark interfacial crack problems is realized.

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