Infinite Row Of Parallel Cracks Research Articles

Transient response of an infinite row of parallel cracks in a saturated porous medium

A method is developed for solving the transient problem of the sudden appearance of an infinite row of parallel cracks in a stretched medium of saturated porous material. The general equations of Biot’s theory in conjunction with the integral and Laplace transforms are used to reduce the problem to that of solving the Fredholm integral equation. The numerical results in terms of Mode I dynamic stress intensity factor k1 are computed for various ratios of the crack width to crack spacing to determine the interaction effect of neighboring cracks. The influence of pore fluid on the dynamic stress intensity factor is investigated by varying the values of viscosity-to-permeability ratio, and the obtained results are compared with those of the corresponding dry medium.

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)

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.

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)

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.

Thermal Mechanical Response of Elastic Half-Plane with Infinite Row of Parallel Cracks under Uniform Heat Flux

In this study, thermal singular stresses in an elastic half-plane containing an infinite row of parallel cracks perpendicular to the boundary is considered. The half-plane is subjected to a uniform heat flux and a uniform mechanical load. The crack surfaces and free surface of the half-plane are maintained at uniform temperatures. The Fourier transform techniques are used to formulate the problem in terms of singular integral equations. The singular integral equations are solved by using the Gauss-Jacobi integration formula. Both the cases of an internal crack and an edge crack are studied. Numerical calculations are carried out, and the effects of the geometric parameters on the temperature-thermal stress distributions and the thermal stress intensity factors are shown graphically.

Thermal Mechanical Response of a Elastic Half-Plane with an Infinite Row of Parallel Cracks under a Uniform Heat Flux

In this study, the thermal singular stresses in a elastic half-plane containing an infinite row of parallel cracks perpendicular to the boundary is considered. The half-plane is subjected to a uniform heat flux and a uniform mechanical load, and the temperatures on the crack surfaces and free surface of the half-plane are maintained at uniform temperatures, respectively. The Fourier transform techniques are used to formulate the problem in terms of singular integral equations. The singular integral equations are solved by using the Gauss-Jacobi integration formula. Both the cases of an internal crack and an edge crack are studied. Numerical calculations are carried out, and the effects of the geometric parameters on the temperature-thermal stress distributions and the thermal stress intensity factors are shown graphically.

1441 平行表面き裂群を有する半無限弾性体の一様熱流による熱弾性相互干渉(S15-4 強度評価法,S15 熱応力,応力特異性と強度評価)

1441 平行表面き裂群を有する半無限弾性体の一様熱流による熱弾性相互干渉(S15-4 強度評価法,S15 熱応力,応力特異性と強度評価)

Stress intensity factors for glass-fiber reinforced plastics with an infinite row of parallel cracks at low temperatures

Stress intensity factors are determined for glass-fiber reinforced plastics with an infinite row of parallel cracks at low temperatures under tension. A state of generalized plane strain is assumed. The thermal and mechanical properties as functions of temperature are obtained from the experimental data. Fourier transforms are used to reduce the problem to the solution of a pair of dual integral equations. The solution of the dual integral equations is then expressed in terms of a Fredholm integral equation of the second kind. Numerical calculations are carried out, and the stress intensity factors at different temperatures are shown graphically.

Elastodynamic crack problems in an orthotropic medium through complex variable approach

Complex variable technique is employed to solve the elastodynamic problems of (I) two equal collinear Griffith cracks, (II) an infinite row of parallel cracks and (III) a “grid” of cracks of equal arms, propagating with constant speed in a stressed orthotropic medium. Stress and displacement components are represented in terms of holomorphic functions defined in two appropriate complex domains. Stress intensity factors and some asymptotic results are represented and briefly discussed.

Two-Dimensional Problem for a Ferromagnetic Elastic Solid with an Infinite Row of Parallel Cracks

Two-Dimensional Problem for a Ferromagnetic Elastic Solid with an Infinite Row of Parallel Cracks

An Infinite Row of Parallel Cracks in an Elastic Plate under Flexure

An Infinite Row of Parallel Cracks in an Elastic Plate under Flexure

Thermal stresses in a laminate composite with infinite row of parallel cracks normal to the interfaces

Under the assumption of plane strain, some linear thermoelastic problems concerning a laminate composite containing an infinite row of parallel cracks situated normal to the bond lines are solved by the use of integral transform technique. The thermal stresses are caused by a uniform heat flow disturbed by the presence of the cracks and the interfaces. The problem is reduced to that of solving a Fredholm integral equation of the second kind which is solved numerically by the use of Gaussian quadrature formulas. The effect of various quantities of physical interest on the stress intensity factor is shown graphically. Calculations are also carried out for the stress intensity factor for a laminate composite with a crack normal to the interfaces. This is accomplished by taking the limiting case of a laminate composite with an infinite row of parallel cracks normal to the interfaces.

System of Cracks in Elasticity Theory

AbstractGeneral methods for solving punch and crack problems in elasticity theory have been developed by Muskhelishvili and others. In this paper general equations concerning a system of cracks have been established making use of Muskhelishvil's method. A closed form solution to the infinite row of collinear cracks has been found and an explicit solution of the problem of an infinite row of parallel cracks has been obtained after reducing it to a Fredholm type of integral equation.

Stresses in a plate with an infinite row of parallel cracks, under an antisymmetric load

Stresses in a plate with an infinite row of parallel cracks, under an antisymmetric load

Infinite row of parallel cracks in a strip

In this paper the problem of the infinite parallel row of cracks is analyzed under the assumption of plain strain by the use of a suitable form of the Neuber-Papkovich representation. Two types of boundary conditions on the side edges of the strip are considered; 1. (1) the edges are confined between fixed smooth rigid planes, 2. (2) the edges are free of stresses. The problem is reduced to that of solving a Fredholm integral equation of the second kind and the solution of this equation is obtained by the iteration method and numerically by the use of Gaussian quadrature formulas. The effect of the crack array distance and the width of the strip on the stress intensity factor is shown graphically.