Piezoelectric Material Strip Research Articles

Two Parallel Cracks in a Functionally Graded Piezoelectric Strip under Electric Loading

In this paper, the mixed-mode fracture problem of two parallel cracks in a functionally graded piezoelectric material (FGPM) strip is considered. It is assumed that the electroelastic properties of the strip vary continuously along the thickness of the strip, and that the strip is under a uniform electric loading. The crack faces are supposed to be insulated electrically. Fourier transform techniques are used to reduce the mixed boundary value problems to a system of singular integral equations. The singular integral equations are solved by using the Gauss-Jacobi integration formula. Numerical calculations are carried out, and the stress and electric displacement intensity factors are presented for various values of dimensionless parameters representing the crack size, the crack location, and the material nonhomogeneity.

OS2615 平行き裂群を有する傾斜機能圧電厚板の非定常電気熱弾性応答(OS26-4 西谷弘信セッション3,OS-26 西谷弘信セッション)

OS2615 平行き裂群を有する傾斜機能圧電厚板の非定常電気熱弾性応答(OS26-4 西谷弘信セッション3,OS-26 西谷弘信セッション)

Thermoelectroelastic response of a functionally graded piezoelectric strip with two parallel axisymmetric cracks

A mixed-mode thermoelectroelastic fracture problem of a functionally graded piezoelectric material strip containing two parallel axisymmetric cracks, such as penny-shaped or annular cracks, is considered in this study. It is assumed that the thermoelectroelastic properties of the strip vary continuously along the thickness of the strip and that the strip is under thermal loading. The crack faces are supposed to be insulated thermally and electrically. Using integral transform techniques, the problem is reduced to that of solving two systems of singular integral equations. Systematic numerical calculations are carried out, and the variations of the stress and electric displacement intensity factors are plotted for various values of dimensionless parameters representing the crack size, the crack location and the material non-homogeneity.

自由表面に平行な2個の軸対称き裂を有する傾斜機能圧電厚板の電気熱弾性応答

A mixed-mode thermoelectroelastic fracture problem of a functionally graded piezoelectric material (FGPM) strip containing two parallel axisymmetric cracks, such as penny-shaped or annular cracks, is considered in this study. It is assumed that the thermoelectroelastic properties of the strip vary continuously along the thickness of the strip, and that the strip is under thermal loading. The crack faces are supposed to be insulated thermally and electrically. Using integral transform techniques, the problem is reduced to that of solving two systems of singular integral equations. Systematic numerical calculations are carried out and the variations of the stress and electric displacement intensity factors are plotted for various values of dimensionless parameters representing the crack size, the crack location, and the material inhomogeneity. The following facts can be found from the numerical results. The normalized intensity factors are under the great influence of the geometric parameters. The effect of the material inhomogeneity on the intensity factors depends on the geometric parameters

S0303-2-4 自由表面に平行な2個の軸対称き裂を有する傾斜機能圧電厚板の電気熱弾性応答([0303-2]材料機能性と強度に及ぼす環境と場の影響に関する弾性数理解析(2))

A mixed-mode thermoelectroelastic fracture problem of a functionally graded piezoelectric material (FGPM) strip containing two parallel axisymmetric cracks, such as penny-shaped or annular cracks, is considered in this study. It is assumed that the thermoelectroelastic properties of the strip vary continuously along the thickness of the strip, and that the strip is under thermal loading. The crack faces are supposed to be insulated thermally and electrically. Using integral transform techniques, the problem is reduced to that of solving two systems of singular integral equations. Systematic numerical calculations are carried out and the variations of the stress and electric displacement intensity factors are plotted for various values of dimensionless parameters representing the crack size, the crack location, and the material inhomogeneity. The following facts can be found from the numerical results. The normalized intensity factors are under the great influence of the geometric parameters. The effect of the material inhomogeneity on the intensity factors depends on the geometric parameters.

Infinite Row of Parallel Cracks in a Functionally Graded Piezoelectric Material Strip Under Mechanical and Transient Thermal Loading Conditions

In this paper, the problem of an infinite row of parallel cracks in a functionally graded piezoelectric material strip (FGPM strip) is analyzed under static mechanical and transient thermal loading conditions. The crack faces are supposed to be completely insulated. Material properties are assumed to be exponentially dependent on the distance from the bottom surface. By using the Laplace and Fourier transforms, the thermoelectromechanical problem is reduced to a singular integral equation, which is solved numerically. The stress intensity factors for both the embedded and edge cracks are computed. The results for the crack contact problem are also included.

Two parallel penny-shaped or annular cracks in a functionally graded piezoelectric strip under electric loading

In this paper, the mixed-mode fracture problem of a functionally graded piezoelectric material strip with two penny-shaped or annular cracks is considered. It is assumed that the electroelastic properties of the strip vary continuously along the thickness of the strip, and that the strip is under electric loading. The problem is formulated in terms of a system of singular integral equations, which are solved numerically. Numerical calculations are carried out, and the stress and electric displacement intensity factors are presented for various values of dimensionless parameters representing the crack size, the crack location, and the material nonhomogeneity.

OS0103 2個の平行な円板状あるいは円環状き裂を有する傾斜機能圧電厚板の電気弾性応答(弾性数理解析とその応用,オーガナイズドセッション)

In this paper, the mixed-mode fracture problem of two penny-shaped or annular cracks in a functionally graded piezoelectric material (FGPM) strip is considered. It is assumed that the electroelastic properties of the strip vary continuously along the thickness of the strip, and that the strip is under electric loading. The crack faces are supposed to be insulated electrically. The problem is formulated in terms of a system of singular integral equations, which are solved numerically. Numerical calculations are carried out, and the stress and electric displacement intensity factors are presented for various values of dimensionless parameters representing the crack size, the crack location, and the material nonhomogeneity. It can be found that the normalized intensity factors are under the great influence of the geometric parameters and the effect of the material nonhomogeneity on the intensity factors depends on the geometric parameters.

平行き裂群を有する傾斜機能圧電厚板の非定常電気熱弾性応答

In this paper, the problem of an infinite row of parallel cracks in a functionally graded piezoelectric material strip (FGPM strip) is analyzed under transient thermal loading condition. The crack faces are supposed to be completely insulated. Material properties are assumed to be exponentially dependent on the distance from the bottom surface. The superposition technique is used to solve the governing equations. The transient temperature and thermal stress in an uncracked strip are the same as the previous results. This thermal stress is used as the crack surface traction with opposite sign to formulate the mixed boundary value problem. By using the Fourier transform, the thermoelectromechanical problem is reduced to a singular integral equation. The singular integral equation is solved by using the Gauss-Jacobi integration formula. The stress intensity factors for both the embedded and edge cracks are computed. The results for the crack contact problem are also included.

OS0113 平行き裂群を有する傾斜機能圧電厚板の非定常電気熱弾性応答(弾性数理解析とその応用,オーガナイズドセッション)

OS0113 平行き裂群を有する傾斜機能圧電厚板の非定常電気熱弾性応答(弾性数理解析とその応用,オーガナイズドセッション)

Thermoelectromechanical Response of a Piezoelectric Strip with Two Parallel Cracks of Different Lengths

This work is concerned with the thermoelectromechanical fracture behavior of two parallel cracks of different lengths in a piezoelectric material strip under thermal loading. The crack faces are assumed to be insulated thermally and electrically. Fourier transform techniques are used to reduce the mixed boundary value problems to two systems of singular integral equations. Numerical calculations are carried out, and detailed results are presented to illustrate the influence of the geometric parameters on the thermal stress and electric displacement intensity factors.

An Annular Crack in a Functionally Graded Piezoelectric Strip Under Thermoelectric Loadings

A thermoelectroelastic problem of a functionally graded piezoelectric material (FGPM) strip containing an annular crack is solved. It is assumed that the thermoelectroelastic properties of the strip vary continuously along the thickness of the strip, and that the strip is under the thermoelectric loadings. The crack faces are supposed to be insulated thermally and electrically. Using integral transform techniques, the problem is reduced to that of solving a singular integral equation and a system of singular integral equations. Numerical calculations are carried out, and the variations of the stress and electric displacement intensity factors are plotted against the geometric parameters for some values of the material non-homogeneity parameters.

Thermal Stress Intensity Factors for Two Coplanar Cracks in a Piezoelectric Strip

This work is concerned with the thermoelectromechanical fracture behavior of two coplanar cracks in a piezoelectric material strip under a uniform heat flow far away from the crack region. The crack faces are supposed to be insulated thermally and electrically. Fourier transforms are used to reduced the mixed boundary value problems to singular integral equations. Numerical calculations are carried out, and detailed results are presented to illustrate the influence of the geometric parameters on the thermal stress intensity factors.

A cracked functionally graded piezoelectric material strip under transient thermal loading

Considered in this paper is a functionally graded piezoelectric material strip (FGPM strip) containing an embedded crack or an edge crack perpendicular to its boundaries. The problem is solved for an FGPM strip that is suddenly heated or cooled from the bottom surface under static mechanical loading. The top surface is maintained at the initial temperature. The crack faces are supposed to be completely insulated. Material properties are assumed to be exponentially dependent on the distance from the bottom surface. First, the transient temperature and the thermal stress distributions in an uncracked strip are calculated by using the Laplace transform. Then, these mechanical and thermal stresses are used as the crack surface traction with opposite sign to formulate the mixed boundary value problem. By using the Fourier transform, the electromechanical problem is reduced to a singular integral equation which is solved numerically. The numerical results for the stress and thermal stress intensity factors are computed as a function of the normalized time, the nonhomogeneous and geometric parameters. The temperature and the thermal stress distributions for the uncracked problem and the results for the crack contact problem are also included.

Transient Thermoelectromechanical Response of a Functionally Graded Piezoelectric Material Strip with a Normal Crack

Considered in this paper is a functionally graded piezoelectric material (FGPM) strip containing an embedded crack or an edge crack perpendicular to its boundaries. The problem is solved for an FGPM strip that is suddenly heated or cooled from the bottom surface. The top surface is maintained at the initial temperature. The crack faces are supposed to be completely insulated. Material properties are assumed to be exponentially dependent on the distance from the bottom surface. First, the transient temperature and thermal stress distributions in an uncracked strip are calculated by using the Laplace transform. Then, the thermal stress is used as the crack surface traction with opposite sign to formulate the mixed boundary value problem. By using the Fourier transform, the electromechanical problem is reduced to a singular integral equation which is solved numerically. The numerical results for the thermal stress intensity factors are computed as a function of the normalized time for various values of the nonhomogeneous and geometric parameters. The temperature and thermal stress distributions for the uncracked problem and the results for the crack contact problem are also included.

A Functionally Graded Piezoelectric Strip with an Annular Crack Under Terhmoelectric Loadings

A thermoelectroelastic problem of a functionally graded piezoelectric material (FGPM) strip containing an annular crack is solved. It is assumed that the thermoelectroelastic properties of the strip vary continuously along the thickness of the strip, and that the strip is under the thermoelectric loadings. The crack faces are supposed to be insulated thermally and electrically. By using the Hankel transform, the thermal and electromechanical problems are reduced to a singular integral equation and a system of singular integral equations, respectively. Numerical calculations are carried out, and detailed results are presented to illustrate the influence of the crack size, the crack location and the material nonhomogeneity on the stress and electric displacement intensity factors. It can be found that the normalized intensity factors are under the great influence of the geometric parameters and the effect of the material nonhomogeneity on the intensity factors depends on the geometric parameters.

1155 長さの異なる二個の平行き裂を有する圧電厚板の電気熱弾性応答(G03-5 材料力学(5)力学挙動1,21世紀地球環境革命の機械工学:人・マイクロナノ・エネルギー・環境)

The thermoelectromechanical fracture of a piezoelectric material strip with two parallel cracks of different lengths under electric and thermal loadings is considered. The crack faces are supposed to be insulated thermally and electrically. Fourier transform techniques are used to reduce the mixed boundary value problems to two systems of singular integral equations. The singular integral equations are solved by using the Gauss-Jacobi integration formula. Numerical calculations are carried out, and detailed results are presented to illustrate the influence of the parameters of the geometric parameters on the stress and electric displacement intensity factors.

1156 垂直き裂を有する傾斜機能圧電厚板の非定常電気熱弾性応答(G03-6 材料力学(6)力学挙動2,21世紀地球環境革命の機械工学:人・マイクロナノ・エネルギー・環境)

1156 垂直き裂を有する傾斜機能圧電厚板の非定常電気熱弾性応答(G03-6 材料力学(6)力学挙動2,21世紀地球環境革命の機械工学:人・マイクロナノ・エネルギー・環境)

Thermoelectromechanical Response of a Piezoelectric Strip with Two Parallel Cracks of Different Lengths

The thermoelectromechanical fracture of a piezoelectric material strip with two parallel cracks of different lengths under electric and thermal loadings is considered. The crack faces are supposed to be insulated thermally and electrically. Fourier transform techniques are used to reduce the mixed boundary value problems to two systems of singular integral equations. The singular integral equations are solved by using the Gauss-Jacobi integration formula. Numerical calculations are carried out, and detailed results are presented to illustrate the influence of the parameters of indicating the crack lengths, the crack location and the crack spacing on the stress and electric displacement intensity factors. The results for the temperature and thermal stress distributions are also included. From the numerical results, we can find that the normalized intensity factors are under the great influence of the geometric parameters. Especially, the interaction between two different length cracks is complicated.

OS1405 垂直き裂群を有する傾斜機能圧電厚板の非定常電気熱弾性応答(弾性数理解析を用いた材料特性の理解への取り組み(1),オーガナイズドセッション)

In this paper the problem of an infinite row of parallel cracks in a functionally graded piezoelectric material strip (FGPM strip) is analyzed under static mechanical and transient thermal loadings. The crack faces are supposed to be completely insulated. Material properties are assumed to be exponentially dependent on the distance from the bottom surface. By using the Fourier transform, the thermoelectromechanical problem is reduced to a singular integral equation, which is solved numerically. The stress intensity factors for both the embedded and edge cracks are computed. The results for the crack contact problem are also included.