In-Plane Loading

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Zheng Zhong - One of the best experts on this subject based on the ideXlab platform.

  • a moving interface crack between two dissimilar functionally graded strips under plane deformation with integral equation methods
    Engineering Analysis With Boundary Elements, 2012
    Co-Authors: Zhanqi Cheng, Danying Gao, Zheng Zhong
    Abstract:

    Abstract In this paper a finite interface crack with constant length (Yoffe-type crack) propagating along the interface between two dissimilar functionally graded strips with spatially varying elastic properties under In-Plane Loading is studied. By utilizing the Fourier transformation technique, the mixed boundary problem is reduced to a system of singular integral equations that are solved numerically. The influences of the geometric parameters, the graded parameter, the strip thickness and crack speed on the stress intensity factors and the probable kink angle are investigated. The numerical results show that the graded parameters, the thicknesses of the functionally graded strips and the crack speed have significant effects on the dynamic fracture behavior of functionally graded material structures.

  • Analysis of a moving crack in a functionally graded strip between two homogeneous layers
    International Journal of Mechanical Sciences, 2007
    Co-Authors: Zhanqi Cheng, Zheng Zhong
    Abstract:

    In this paper a finite crack with constant length (Yoffe-type crack) propagating in a functionally graded strip with spatially varying elastic properties between two dissimilar homogeneous layers under In-Plane Loading was studied. By utilizing the Fourier transformation technique, the mixed boundary problem is reduced to a system of singular integral equations that are solved numerically. The influences of the geometric parameters, the graded parameter, the crack length and speed on the stress intensity factors are investigated. The numerical results show that the graded parameters, the thicknesses of the functionally graded strip and the two homogeneous layers, the crack size and speed have significant effects on the dynamic fracture behavior.

Seyed Rasoul Atashipour - One of the best experts on this subject based on the ideXlab platform.

  • reduction of the stress concentration factor in a homogeneous panel with hole by using a functionally graded layer
    Composites Part B-engineering, 2014
    Co-Authors: Roberta Sburlati, Seyed Rasoul Atashipour
    Abstract:

    This work aims at understanding the effect of a radially heterogeneous layer around the hole in a homogeneous plate on the stress concentration factor. The problem concerns a single hole in a plate under different far-field In-Plane Loading conditions. By assuming a radial power law variation of Young's modulus and constant value for Poisson's ratio, the governing differential equations for plane stress conditions, and general In-Plane Loading conditions are studied. The elastic solutions are obtained in closed form and, in order to describe localized interface damage between the ring and the plate, two different interface conditions (perfectly bonded and frictionless contact) are studied. The formulae for the stress concentration factors are explicitly given for uniaxial, biaxial and shear In-Plane Loading conditions and comparisons with interface hoop stress values are performed. The solutions are investigated to understand the role played by the geometric and graded constitutive parameters. The results are validated with numerical finite element simulations in which some simplified hypotheses assumed in the analytical model, are relaxed to explore the range of validity of the elastic solution presented. In this way the results obtained are useful in tailoring the parameters for specific applications.

R Ozcan - One of the best experts on this subject based on the ideXlab platform.

Zhanqi Cheng - One of the best experts on this subject based on the ideXlab platform.

  • a moving interface crack between two dissimilar functionally graded strips under plane deformation with integral equation methods
    Engineering Analysis With Boundary Elements, 2012
    Co-Authors: Zhanqi Cheng, Danying Gao, Zheng Zhong
    Abstract:

    Abstract In this paper a finite interface crack with constant length (Yoffe-type crack) propagating along the interface between two dissimilar functionally graded strips with spatially varying elastic properties under In-Plane Loading is studied. By utilizing the Fourier transformation technique, the mixed boundary problem is reduced to a system of singular integral equations that are solved numerically. The influences of the geometric parameters, the graded parameter, the strip thickness and crack speed on the stress intensity factors and the probable kink angle are investigated. The numerical results show that the graded parameters, the thicknesses of the functionally graded strips and the crack speed have significant effects on the dynamic fracture behavior of functionally graded material structures.

  • Analysis of a moving crack in a functionally graded strip between two homogeneous layers
    International Journal of Mechanical Sciences, 2007
    Co-Authors: Zhanqi Cheng, Zheng Zhong
    Abstract:

    In this paper a finite crack with constant length (Yoffe-type crack) propagating in a functionally graded strip with spatially varying elastic properties between two dissimilar homogeneous layers under In-Plane Loading was studied. By utilizing the Fourier transformation technique, the mixed boundary problem is reduced to a system of singular integral equations that are solved numerically. The influences of the geometric parameters, the graded parameter, the crack length and speed on the stress intensity factors are investigated. The numerical results show that the graded parameters, the thicknesses of the functionally graded strip and the two homogeneous layers, the crack size and speed have significant effects on the dynamic fracture behavior.

Dharmendra S Sharma - One of the best experts on this subject based on the ideXlab platform.

  • on the stress concentration around a polygonal cut out of complex geometry in an infinite orthotropic plate
    Composite Structures, 2017
    Co-Authors: Nirav P Patel, Dharmendra S Sharma
    Abstract:

    Abstract The best values of fiber volume fractions, fiber arrangements, and cut-out orientations in an orthotropic infinite plate weakened by a polygonal discontinuity of regular and complex geometry are investigated in the present work. Considering the stress concentration factor as a fitness minimization function, the genetic algorithm is employed and, elastic constants and stresses are computed utilizing the Mori-Tanaka theory and the Muskhelishvili’s complex variable method, respectively. The upshot of present work shows a substantial impact of fiber volume fraction, fiber arrangement and, corner radius and orientation of cut-out, on values of stress concentration factor for various In-Plane Loading conditions. Furthermore, the database of the complex constants used in the Schwarz–Christoffel mapping to develop distinct complex shapes is also reported.

  • stress concentration at the corners of polygonal hole in finite plate
    Aerospace Science and Technology, 2016
    Co-Authors: Mihir M Chauhan, Dharmendra S Sharma
    Abstract:

    Abstract A generalized formulation to determine the stresses around the polygonal shaped hole in anisotropic finite plate is presented in the paper. The stress concentration at the rounded corners of the polygonal hole in finite plate subjected to In-Plane Loading is derived using complex variable approach in conjunction with boundary collocation method. The influence of plate size, hole geometry and location, material anisotropy and Loading conditions on the stress concentration around the polygonal hole is studied and presented in the paper. The results obtained through present method are validated by comparing with literature and finite element solutions.

  • stresses around hypotrochoidal hole in infinite isotropic plate
    International Journal of Mechanical Sciences, 2016
    Co-Authors: Dharmendra S Sharma
    Abstract:

    Abstract A solution to obtain stresses around hypotrochoidal cutouts in infinite isotropic plate subjected to In-Plane Loading is presented. The Muskhelishvili׳s complex variable approach is adopted to find stresses and stress intensity factors for different shaped hypotrochoidal holes. The effect of hole geometry and Loading conditions on stress pattern is presented. Some of the results are compared with the existing literature and found to be in good agreement.

  • optimum design of laminates containing an elliptical hole
    International Journal of Mechanical Sciences, 2014
    Co-Authors: Dharmendra S Sharma, Nirav P Patel, R R Trivedi
    Abstract:

    Abstract An optimum design of a 4, 8 and 16 layered graphite/epoxy and glass/epoxy symmetric laminated plate, containing an elliptical hole and subjected to various In-Plane Loading conditions is presented using Muskhelishvili׳s complex variable approach and hybrid genetic algorithm (GA). The Tsai–Hill criterion and quadratic interaction failure criterion are taken as an objective function for single plate lamina and symmetric laminate respectively. The ply orientation angles for different lamina are considered design variables. In the genetic algorithm (GA), tournament selection and heuristic crossover are used. The elitist model is also applied for the effective reproduction in the population.

  • stress distribution around triangular hole inorthotropic plate
    Nirma University Journal of Engineering and Technology, 2000
    Co-Authors: Dharmendra S Sharma, Nirav P Patel, Khushbu C Panchal
    Abstract:

    General solutions for determining the stress field around triangular hole in infinite orthotropic plate subjected to In-Plane Loading are obtained using Muskhelisvili's complex variable formulation. The generalized formulation thus obtained is coded and few numerical results are obtained using MATLAB 7.6. The effect of Loading factor, corner radius, fibre orientation and material parameter on stress pattern around triangular hole is studied. Some of the results are compared with the results available from the literature.