Stress Intensity Factors

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Yu-yang Pang - One of the best experts on this subject based on the ideXlab platform.

  • theoretical and numerical study on Stress Intensity Factors for frp strengthened steel plates with double edged cracks
    Sensors, 2018
    Co-Authors: Hai-tao Wang, Yu-yang Pang
    Abstract:

    This paper presents a theoretical and numerical study on the Stress Intensity Factors for double-edged cracked steel plates strengthened with fiber reinforced polymer (FRP) plates. Based on the Stress Intensity factor solution for infinite center-cracked steel plates strengthened with FRP plates, expressions of the Stress Intensity Factors were proposed for double-edged cracked steel plates strengthened with FRP plates by introducing two correction Factors: β and f. A finite element (FE) simulation was carried out to calculate the Stress Intensity Factors of the steel plate specimens. Numerous combinations of the specimen width, crack length, FRP thickness and Young's modulus, adhesive thickness, and shear modulus were considered to conduct the parametric investigation. The FE results were used to investigate the main influencing Factors of the Stress Intensity Factors and the correction factor, β. The expression of the correction factor, β, was formulated and calibrated based on the FE results. The proposed expressions of the Stress Intensity Factors were a function of the applied Stress, the crack length, the ratio between the crack length and the width of the steel plate, the stiffness ratio between the FRP plate and steel plate, the adhesive thickness, and the shear modulus. Finally, the theoretical results and numerical results were compared to validate the proposed expressions.

  • Theoretical and Numerical Study on Stress Intensity Factors for FRP-Strengthened Steel Plates with Double-Edged Cracks
    MDPI AG, 2018
    Co-Authors: Hai-tao Wang, Yu-yang Pang
    Abstract:

    This paper presents a theoretical and numerical study on the Stress Intensity Factors for double-edged cracked steel plates strengthened with fiber reinforced polymer (FRP) plates. Based on the Stress Intensity factor solution for infinite center-cracked steel plates strengthened with FRP plates, expressions of the Stress Intensity Factors were proposed for double-edged cracked steel plates strengthened with FRP plates by introducing two correction Factors: β and f. A finite element (FE) simulation was carried out to calculate the Stress Intensity Factors of the steel plate specimens. Numerous combinations of the specimen width, crack length, FRP thickness and Young’s modulus, adhesive thickness, and shear modulus were considered to conduct the parametric investigation. The FE results were used to investigate the main influencing Factors of the Stress Intensity Factors and the correction factor, β. The expression of the correction factor, β, was formulated and calibrated based on the FE results. The proposed expressions of the Stress Intensity Factors were a function of the applied Stress, the crack length, the ratio between the crack length and the width of the steel plate, the stiffness ratio between the FRP plate and steel plate, the adhesive thickness, and the shear modulus. Finally, the theoretical results and numerical results were compared to validate the proposed expressions

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

  • Hamiltonian Approach to Analytical Thermal Stress Intensity Factors—Part 1: Thermal Intensity Factor
    Journal of Thermal Stresses, 2010
    Co-Authors: Andrew Y. T. Leung, Zhenhuan Zhou
    Abstract:

    The equations of thermoelasticity are first rewritten in Hamiltonian form where the variables are separable in spatial coordinates. The symplectic eigensolutions satisfying the boundary conditions along the crack faces are solved analytically from the homogeneous equations. The loading and the particular integral are expanded in the eigensolutions and the coefficients are determined by the geometric boundary conditions excluding the crack. The thermal Stress Intensity Factors are obtained and the behavior of the thermal Stress Intensity Factors under arbitrary thermal loading is investigated.

  • Hamiltonian Approach to Analytical Thermal Stress Intensity Factors—Part 2 Thermal Stress Intensity Factor
    Journal of Thermal Stresses, 2010
    Co-Authors: Andrew Y. T. Leung, Zhenhuan Zhou
    Abstract:

    The equations of thermoelasticity are first rewritten in Hamiltonian form where the variables are separable in spatial coordinates. The symplectic eigensolutions satisfying the boundary conditions along the crack faces are solved analytically from the homogeneous equations. The loading and the particular integral are expanded in the eigensolutions and the coefficients are determined by the geometric boundary conditions excluding the crack. The thermal Stress Intensity Factors are obtained and the behavior of the thermal Stress Intensity Factors under arbitrary thermal loading is investigated.

  • Analytical Stress Intensity Factors for edge-cracked cylinder
    International Journal of Mechanical Sciences, 2010
    Co-Authors: Zhenhuan Zhou, Andrew Y. T. Leung
    Abstract:

    We use the Hamiltonian formalism in elasticity to analyze edge-cracked cylinder under various three-dimensional loading conditions. The Hamiltonian form enables the successful separation of the independent variables in polar coordinates so that symplectic eigenfunctions can be analytically determined. The displacements and Stresses are proved to be conjugating to each other and can be expanded in series of the symplectic eigenfunctions. The coefficients of the series are determined from the lateral boundary conditions along the crack faces and the outer boundary conditions along the finite geometric domain. The Stress Intensity Factors and T-Stresses near the crack-tip are found analytically. Three modes of Stress Intensity Factors can be obtained simultaneously. The result indicates that the Stress Intensity Factors depend directly on the respective first few coefficients of the general eigenvalue solutions. Examples for mixed boundary conditions, e.g., partly clamped and partly forced, are included. The influence of various parameters on the Stress Intensity Factors is discussed. Since the method is analytic, the results can be considered as benchmark for numerical methods in determining singularities.

  • analytic Stress Intensity Factors for finite elastic disk using symplectic expansion
    Engineering Fracture Mechanics, 2009
    Co-Authors: A Y T Leung, Zhenhuan Zhou
    Abstract:

    An analytic method to determine the Stress Intensity Factors of finite elastic disk in polar coordinates is introduced with extension to various geometric domains using least-square method. It first finds the symplectic eigenfunctions after expressing the governing equilibrium equations in a Hamiltonian form for variable separation. The displacements and Stresses are expanded by the symplectic eigenfunctions with coefficients determined from the boundary conditions. The Stress Intensity Factors are actually the first two coefficients of the series and no post-processing is required. The higher coefficient gives the T-Stress. Examples for discontinuous boundary conditions are included and new results are given.

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

  • Hamiltonian Approach to Analytical Thermal Stress Intensity Factors—Part 1: Thermal Intensity Factor
    Journal of Thermal Stresses, 2010
    Co-Authors: Andrew Y. T. Leung, Zhenhuan Zhou
    Abstract:

    The equations of thermoelasticity are first rewritten in Hamiltonian form where the variables are separable in spatial coordinates. The symplectic eigensolutions satisfying the boundary conditions along the crack faces are solved analytically from the homogeneous equations. The loading and the particular integral are expanded in the eigensolutions and the coefficients are determined by the geometric boundary conditions excluding the crack. The thermal Stress Intensity Factors are obtained and the behavior of the thermal Stress Intensity Factors under arbitrary thermal loading is investigated.

  • Hamiltonian Approach to Analytical Thermal Stress Intensity Factors—Part 2 Thermal Stress Intensity Factor
    Journal of Thermal Stresses, 2010
    Co-Authors: Andrew Y. T. Leung, Zhenhuan Zhou
    Abstract:

    The equations of thermoelasticity are first rewritten in Hamiltonian form where the variables are separable in spatial coordinates. The symplectic eigensolutions satisfying the boundary conditions along the crack faces are solved analytically from the homogeneous equations. The loading and the particular integral are expanded in the eigensolutions and the coefficients are determined by the geometric boundary conditions excluding the crack. The thermal Stress Intensity Factors are obtained and the behavior of the thermal Stress Intensity Factors under arbitrary thermal loading is investigated.

  • Analytical Stress Intensity Factors for edge-cracked cylinder
    International Journal of Mechanical Sciences, 2010
    Co-Authors: Zhenhuan Zhou, Andrew Y. T. Leung
    Abstract:

    We use the Hamiltonian formalism in elasticity to analyze edge-cracked cylinder under various three-dimensional loading conditions. The Hamiltonian form enables the successful separation of the independent variables in polar coordinates so that symplectic eigenfunctions can be analytically determined. The displacements and Stresses are proved to be conjugating to each other and can be expanded in series of the symplectic eigenfunctions. The coefficients of the series are determined from the lateral boundary conditions along the crack faces and the outer boundary conditions along the finite geometric domain. The Stress Intensity Factors and T-Stresses near the crack-tip are found analytically. Three modes of Stress Intensity Factors can be obtained simultaneously. The result indicates that the Stress Intensity Factors depend directly on the respective first few coefficients of the general eigenvalue solutions. Examples for mixed boundary conditions, e.g., partly clamped and partly forced, are included. The influence of various parameters on the Stress Intensity Factors is discussed. Since the method is analytic, the results can be considered as benchmark for numerical methods in determining singularities.

Hai-tao Wang - One of the best experts on this subject based on the ideXlab platform.

  • theoretical and numerical study on Stress Intensity Factors for frp strengthened steel plates with double edged cracks
    Sensors, 2018
    Co-Authors: Hai-tao Wang, Yu-yang Pang
    Abstract:

    This paper presents a theoretical and numerical study on the Stress Intensity Factors for double-edged cracked steel plates strengthened with fiber reinforced polymer (FRP) plates. Based on the Stress Intensity factor solution for infinite center-cracked steel plates strengthened with FRP plates, expressions of the Stress Intensity Factors were proposed for double-edged cracked steel plates strengthened with FRP plates by introducing two correction Factors: β and f. A finite element (FE) simulation was carried out to calculate the Stress Intensity Factors of the steel plate specimens. Numerous combinations of the specimen width, crack length, FRP thickness and Young's modulus, adhesive thickness, and shear modulus were considered to conduct the parametric investigation. The FE results were used to investigate the main influencing Factors of the Stress Intensity Factors and the correction factor, β. The expression of the correction factor, β, was formulated and calibrated based on the FE results. The proposed expressions of the Stress Intensity Factors were a function of the applied Stress, the crack length, the ratio between the crack length and the width of the steel plate, the stiffness ratio between the FRP plate and steel plate, the adhesive thickness, and the shear modulus. Finally, the theoretical results and numerical results were compared to validate the proposed expressions.

  • Theoretical and Numerical Study on Stress Intensity Factors for FRP-Strengthened Steel Plates with Double-Edged Cracks
    MDPI AG, 2018
    Co-Authors: Hai-tao Wang, Yu-yang Pang
    Abstract:

    This paper presents a theoretical and numerical study on the Stress Intensity Factors for double-edged cracked steel plates strengthened with fiber reinforced polymer (FRP) plates. Based on the Stress Intensity factor solution for infinite center-cracked steel plates strengthened with FRP plates, expressions of the Stress Intensity Factors were proposed for double-edged cracked steel plates strengthened with FRP plates by introducing two correction Factors: β and f. A finite element (FE) simulation was carried out to calculate the Stress Intensity Factors of the steel plate specimens. Numerous combinations of the specimen width, crack length, FRP thickness and Young’s modulus, adhesive thickness, and shear modulus were considered to conduct the parametric investigation. The FE results were used to investigate the main influencing Factors of the Stress Intensity Factors and the correction factor, β. The expression of the correction factor, β, was formulated and calibrated based on the FE results. The proposed expressions of the Stress Intensity Factors were a function of the applied Stress, the crack length, the ratio between the crack length and the width of the steel plate, the stiffness ratio between the FRP plate and steel plate, the adhesive thickness, and the shear modulus. Finally, the theoretical results and numerical results were compared to validate the proposed expressions

M.h. Aliabadi - One of the best experts on this subject based on the ideXlab platform.

  • a variational approach for evaluation of Stress Intensity Factors using the element free galerkin method
    International Journal of Solids and Structures, 2011
    Co-Authors: P. H. Wen, M.h. Aliabadi
    Abstract:

    A variational meshfree method has been developed to evaluate the Stress Intensity Factors of mixed mode crack problems. The stiffness is evaluated by regular domain integrals and shape functions are determined by both the radial basis function (RBF) interpolation and the moving least-square (MLS) method. The Stress Intensity Factors are obtained by two boundary integrals with variation of crack length. Applications of the proposed technique to two-dimensional fracture mechanics have been presented and comparisons are made with benchmark solutions. Finally, the application of the proposed method to modelling fatigue crack growth is presented.

  • Stress Intensity Factors for cracks in thin plates
    Engineering Fracture Mechanics, 2002
    Co-Authors: Tatacipta Dirgantara, M.h. Aliabadi
    Abstract:

    This paper presents Stress Intensity factor solutions for several crack configurations in plates. The loadings considered include internal pressure, and also combined bending and tension. The dual boundary element method is used to model the plate and mixed mode Stress Intensity Factors are evaluated by a crack surface displacement extrapolation technique and the J-integral technique. Several cases including centre crack, edge crack and cracks emanating from a hole in finite width plates are presented.

  • A contour integral method for dynamic Stress Intensity Factors
    Theoretical and Applied Fracture Mechanics, 1997
    Co-Authors: P. H. Wen, M.h. Aliabadi, D P Rooke
    Abstract:

    Abstract The contour integral method previously used to determine static Stress Intensity Factors is applied to dynamic crack problems. The required derivatives of the traction in the reference problem are obtained numerically by the displacement discontinuity method. Stress Intensity Factors are determined by an integral around a contour which contains a crack tip. If the contour is chosen as the outer boundary of the body, the Stress Intensity factor is obtained from the boundary values of traction and displacement. The advantage of this path-independent integral is that it yields directly both the opening-mode and sliding-mode Stress Intensity Factors for a straight crack. For dynamic problems, Laplace transforms are used and the dynamic Stress Intensity Factors in the time domain are determined by Durbin's inversion method. An indirect boundary element method, incorporating both displacement discontinuity and fictitious load techniques, is used to determine the boundary or contour values of traction and displacement numerically.

  • A contour integral for the evaluation of Stress Intensity Factors
    Applied Mathematical Modelling, 1995
    Co-Authors: P. H. Wen, M.h. Aliabadi, D P Rooke
    Abstract:

    A contour integral is proposed for the evaluation of Stress Intensity Factors. The integral utilizes the exact solution of a loaded crack in an infinite sheet as an auxiliary solution. The advantage of this new path-independent integral is that it yields directly the opening mode and sliding mode Stress Intensity Factors. This integral in used together with an indirect boundary element method to calculate Stress Intensity Factors for several cracked configurations.