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A Y T Leung - One of the best experts on this subject based on the ideXlab platform.

  • green s functions for semi infinite transversely isotropic electro magneto thermo Elastic Material
    International Journal of Applied Electromagnetics and Mechanics, 2009
    Co-Authors: Pengfei Hou, A Y T Leung
    Abstract:

    We use the compact harmonic general solutions of transversely isotropic electro-magneto-thermo-Elastic Material to construct the three-dimensional Green's function for a steady point heat source acted in the interior of a semi-infinite transversely isotropic electro-magneto-thermo-Elastic Material by five newly introduced harmonic functions. All components of coupled field are expressed in terms of elementary functions and are convenient to use. Numerical results are given graphically by contours.

  • a spheroidal inclusion in an infinite magneto electro Elastic Material
    International Journal of Engineering Science, 2004
    Co-Authors: A Y T Leung
    Abstract:

    Exact closed-solutions are obtained for the coupled field of a spheroidal magneto-electro-Elastic inclusion in an infinite magneto-electro-Elastic matrix subjected to spatially homogeneous mechanical and electromagnetic loadings far away from the inclusion. Three types of loadings are considered: axisymmetric, in-plane and out-of-plane shear. The limiting case of these solutions allows one to determine the complete coupled field in a magneto-electro-Elastic Material with a penny-shaped crack. Closed-form expressions for the stress, electric displacement and magnetic induction intensity factors of a penny-shaped crack are obtained.

Zhengong Zhou - One of the best experts on this subject based on the ideXlab platform.

  • dynamic stress intensity factors of two 3d rectangular cracks in a transversely isotropic Elastic Material under a time harmonic Elastic p wave
    Wave Motion, 2014
    Co-Authors: Haitao Liu, Zhengong Zhou
    Abstract:

    Abstract The dynamic stress intensity factors (DSIFs) of two 3D rectangular cracks in a transversely isotropic Elastic Material under an incident harmonic stress wave are investigated by generalized Almansi’s theorem and the Schmidt method in the present paper. Using 2D Fourier transform and defining the jumps of displacement components across the crack surface as the unknown functions, three pairs of dual integral equations are derived. To solve the dual integral equations, the jumps of the displacement components across the crack surfaces are expanded in a series of Jacobi polynomials. Numerical examples are provided to show the effects of the geometric shape of the rectangular crack, the characteristics of the harmonic wave and the distance between two rectangular cracks on the DSIFs of the transversely isotropic Elastic Material.

  • Non-local theory solution to a 3-D rectangular crack in an infinite transversely isotropic Elastic Material
    Meccanica, 2014
    Co-Authors: Haitao Liu, Zhengong Zhou
    Abstract:

    The non-local theory solution to a 3-D rectangular crack in an infinite transversely isotropic Elastic Material is proposed by means of the generalized Almansi’s theorem and the Schmidt method in the present paper. By using the Fourier transform and defining the jumps of displacement across the crack surface as the unknown variables, three pairs of dual integral equations are derived. To solve the dual integral equations, the jumps of displacement across the crack surface are expanded in a series of Jacobi polynomials. Numerical examples are provided to show the effects of the geometric shape of the rectangular crack and the lattice parameter of the Material on the stress field near the crack edges. Unlike the classical solution, the present solution is no stress singularity along the rectangular crack edges, i.e. the stress field near the rectangular crack edges is finite. Therefore, we can use the maximum stress as a fracture criterion.

  • Basic solution of a plane rectangular crack in a 3-D infinite orthotropic Elastic Material
    Mechanics Research Communications, 2014
    Co-Authors: Zhengong Zhou
    Abstract:

    Abstract The solution of a plane rectangular crack in a 3-D infinite orthotropic Elastic Material is investigated by means of the generalized Almansi's theorem and the Schmidt method in the present paper. By using the 2-D Fourier transform and defining the jumps of displacement components across the crack surfaces as the unknown variables, three pairs of dual integral equations are derived. To solve the dual integral equations, the jumps of the displacement components across the crack surface are directly expanded in a series of Jacobi polynomials. Numerical examples are provided to show the effects of the geometric shape of the rectangular crack on the stress intensity factors in an orthotropic Elastic Material.

  • Non-local theory solution for a plane rectangular crack in a 3D infinite transversely isotropic Elastic Material under a time-harmonic Elastic P-wave
    European Journal of Mechanics - A Solids, 2014
    Co-Authors: Haitao Liu, Zhengong Zhou
    Abstract:

    Abstract The non-local theory solution for a plane rectangular crack in a 3D infinite transversely isotropic Elastic Material is presented under an incident harmonic stress wave by using the generalized Almansi's theorem and the Schmidt method. In order to overcome the mathematical difficulties, a two-dimensional non-local kernel is used instead of a three-dimensional one for 3D dynamic problem to obtain the stress near the crack edges. With the help of the Fourier transform, the problem is formulated into three pairs of dual integral equations with the jumps of displacement across the crack surfaces as the unknown variables. To solve the dual integral equations, the jumps of displacement across the crack surface are directly expanded as a series of Jacobi polynomials. Numerical examples show how the stress is influenced by the geometric shape of the rectangular crack, the circular frequency of the incident waves and the lattice parameter of the Material on the dynamic stress fields near the crack edges. Unlike the classical solutions, the present solution exhibits no stress singularity along the rectangular crack edges, i.e. the dynamic stress field near the rectangular crack edges is finite. Thus, this allows us to use the maximum stress as a fracture criterion.

  • basic solution to four three dimensional rectangular limited permeable cracks in transversely isotropic magneto electro Elastic Material
    Applied Mathematics and Computation, 2013
    Co-Authors: Haitao Liu, Zhengong Zhou
    Abstract:

    The solution to four three-dimensional rectangular cracks in magneto-electro-Elastic Material is proposed by using the generalized Almansi's theorem and the Schmidt method under limited-permeable boundary conditions. The problem is formulated through Fourier transform as three pairs of dual integral equations, in which the unknown variables are the displacement jumps across the crack surfaces. For solving the dual integral equations, the displacement jumps across the crack surfaces are directly expanded as a series of Jacobi polynomials. Finally, the effects of the electric permittivity, the magnetic permeability of the air inside the crack, the geometric shape of the rectangular crack and the distance among four rectangular cracks on the stress intensity factors, the electric displacement intensity factors and the magnetic flux intensity factors in magneto-electro-Elastic Material are presented and the magneto-electro-Elastic coupling effects are also discussed.

Haojiang Ding - One of the best experts on this subject based on the ideXlab platform.

Pengfei Hou - One of the best experts on this subject based on the ideXlab platform.

Haitao Liu - One of the best experts on this subject based on the ideXlab platform.

  • dynamic stress intensity factors of two 3d rectangular cracks in a transversely isotropic Elastic Material under a time harmonic Elastic p wave
    Wave Motion, 2014
    Co-Authors: Haitao Liu, Zhengong Zhou
    Abstract:

    Abstract The dynamic stress intensity factors (DSIFs) of two 3D rectangular cracks in a transversely isotropic Elastic Material under an incident harmonic stress wave are investigated by generalized Almansi’s theorem and the Schmidt method in the present paper. Using 2D Fourier transform and defining the jumps of displacement components across the crack surface as the unknown functions, three pairs of dual integral equations are derived. To solve the dual integral equations, the jumps of the displacement components across the crack surfaces are expanded in a series of Jacobi polynomials. Numerical examples are provided to show the effects of the geometric shape of the rectangular crack, the characteristics of the harmonic wave and the distance between two rectangular cracks on the DSIFs of the transversely isotropic Elastic Material.

  • Non-local theory solution to a 3-D rectangular crack in an infinite transversely isotropic Elastic Material
    Meccanica, 2014
    Co-Authors: Haitao Liu, Zhengong Zhou
    Abstract:

    The non-local theory solution to a 3-D rectangular crack in an infinite transversely isotropic Elastic Material is proposed by means of the generalized Almansi’s theorem and the Schmidt method in the present paper. By using the Fourier transform and defining the jumps of displacement across the crack surface as the unknown variables, three pairs of dual integral equations are derived. To solve the dual integral equations, the jumps of displacement across the crack surface are expanded in a series of Jacobi polynomials. Numerical examples are provided to show the effects of the geometric shape of the rectangular crack and the lattice parameter of the Material on the stress field near the crack edges. Unlike the classical solution, the present solution is no stress singularity along the rectangular crack edges, i.e. the stress field near the rectangular crack edges is finite. Therefore, we can use the maximum stress as a fracture criterion.

  • Non-local theory solution for a plane rectangular crack in a 3D infinite transversely isotropic Elastic Material under a time-harmonic Elastic P-wave
    European Journal of Mechanics - A Solids, 2014
    Co-Authors: Haitao Liu, Zhengong Zhou
    Abstract:

    Abstract The non-local theory solution for a plane rectangular crack in a 3D infinite transversely isotropic Elastic Material is presented under an incident harmonic stress wave by using the generalized Almansi's theorem and the Schmidt method. In order to overcome the mathematical difficulties, a two-dimensional non-local kernel is used instead of a three-dimensional one for 3D dynamic problem to obtain the stress near the crack edges. With the help of the Fourier transform, the problem is formulated into three pairs of dual integral equations with the jumps of displacement across the crack surfaces as the unknown variables. To solve the dual integral equations, the jumps of displacement across the crack surface are directly expanded as a series of Jacobi polynomials. Numerical examples show how the stress is influenced by the geometric shape of the rectangular crack, the circular frequency of the incident waves and the lattice parameter of the Material on the dynamic stress fields near the crack edges. Unlike the classical solutions, the present solution exhibits no stress singularity along the rectangular crack edges, i.e. the dynamic stress field near the rectangular crack edges is finite. Thus, this allows us to use the maximum stress as a fracture criterion.

  • basic solution to four three dimensional rectangular limited permeable cracks in transversely isotropic magneto electro Elastic Material
    Applied Mathematics and Computation, 2013
    Co-Authors: Haitao Liu, Zhengong Zhou
    Abstract:

    The solution to four three-dimensional rectangular cracks in magneto-electro-Elastic Material is proposed by using the generalized Almansi's theorem and the Schmidt method under limited-permeable boundary conditions. The problem is formulated through Fourier transform as three pairs of dual integral equations, in which the unknown variables are the displacement jumps across the crack surfaces. For solving the dual integral equations, the displacement jumps across the crack surfaces are directly expanded as a series of Jacobi polynomials. Finally, the effects of the electric permittivity, the magnetic permeability of the air inside the crack, the geometric shape of the rectangular crack and the distance among four rectangular cracks on the stress intensity factors, the electric displacement intensity factors and the magnetic flux intensity factors in magneto-electro-Elastic Material are presented and the magneto-electro-Elastic coupling effects are also discussed.