Plastic Zone

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Xu Gao - One of the best experts on this subject based on the ideXlab platform.

  • Analytical solutions for characteristic radii of circular roadway surrounding rock Plastic Zone and their application
    International Journal of Mining Science and Technology, 2019
    Co-Authors: Xiaofei Guo, Zhiqiang Zhao, Xu Gao
    Abstract:

    Abstract In the non-uniform stress field, the surrounding rock Plastic Zone of the circular roadway shows different shapes under the different confining pressure conditions. Based on the boundary shape characteristics of the Plastic Zone, the characteristic radii of the Plastic Zone were proposed, namely the horizontal, longitudinal and medial axis radii, which could reflect the Plastic Zone shapes characteristics and classify the sizes of the key parts. On the theoretical basis of elastic-Plastic mechanics, analytical solutions for the characteristic radii were obtained by theoretical deduction, and the relationships between the characteristic radii and key influencing factors were analyzed. Finally, the evaluation criterion of the circular roadway surrounding rock Plastic Zone shapes, evaluation criterion of the location of potential hazards caused by the roadway surrounding rock and evaluation critical points of roadway dynamic disasters based on characteristic radii were proposed. This work could provide a theoretical basis for stability analysis of the surrounding rock, support design, and guide the prevention and control of dynamic roadway disasters.

Z M Xiao - One of the best experts on this subject based on the ideXlab platform.

  • a zener stroh crack interacting with a coated inclusion with generalized irwin Plastic Zone correction
    International Journal of Solids and Structures, 2014
    Co-Authors: M Fan, Z M Xiao
    Abstract:

    The elastic–Plastic fracture behavior of a Zener–Stroh crack interacting with a coated inclusion in composite materials has been investigated with crack tip Plastic Zone corrections. With the distributed dislocation method, the crack problem is formulated into a set of singular integral equations which are solved numerically. The Plastic Zone sizes at the both crack tips are determined by a generalized Irwin model where Von Mises stress yielding criterion is used. The stress intensity factor (SIF), the Plastic Zone size (PZS), the crack tip opening displacement (CTOD) and the effective stress intensity factor have been evaluated. In the numerical examples, the influence of the inclusion shear modulus, the coating-layer thickness and shear modulus, as well as the distance between the crack and inclusion, on the SIF, the PZS and the CTOD are discussed in detail. Numerical examples show that increasing the shear modulus or the thickness of the coating phase, the influence of the inclusion on the normalized SIF and the normalized PZS will be shielded.

  • on the Plastic Zone size and the crack tip opening displacement of an interface crack between two dissimilar materials
    International Journal of Fracture, 2012
    Co-Authors: Z M Xiao
    Abstract:

    In the paper, the elastic-Plastic fracture behavior of an interface crack between two dissimilar materials is investigated. The mixed-mode Dugdale model is applied to examine the Plastic Zone size and the crack tip opening displacement. In numerical examples, the Plastic Zone size and the crack tip opening displacement of an interface crack under uniform loads are studied in detail. Two formulae are proposed to calculate the Plastic Zone size and the crack tip opening displacement of an interface crack under small scale yielding conditions.

  • on the Plastic Zone size and crack tip opening displacement of a sub interface crack in an infinite bi material plate
    Philosophical Magazine, 2011
    Co-Authors: Z M Xiao, J Zhuang, I Sridhar
    Abstract:

    Elastic–Plastic stress analysis has been carried out for the Plastic Zone size and crack tip opening displacement of a sub-interface crack with small scale yielding. In our study, the shape of Plastic Zone is assumed as a long, slim strip at both crack tips. In the Plastic Zone, both normal stress and shear stress exist and are considered due to the bi-material interface. The values of the Plastic Zone size, normal stress and shear stress are determined by satisfying the conditions where both Modes I and II stress intensity factors vanish and Von Mises yield criterion is met. In the present paper, the sub-interface crack is simulated by continuously distributed dislocations which will result in singular integral equations. Those singular integral equations can be solved by reducing them to a set of linear equations. The values of the Plastic Zone size and crack tip opening displacement are obtained through an iterative procedure. Finally, the effect of normalized loading, normalized crack depth (distance ...

Xiaofei Guo - One of the best experts on this subject based on the ideXlab platform.

  • Analytical solutions for characteristic radii of circular roadway surrounding rock Plastic Zone and their application
    International Journal of Mining Science and Technology, 2019
    Co-Authors: Xiaofei Guo, Zhiqiang Zhao, Xu Gao
    Abstract:

    Abstract In the non-uniform stress field, the surrounding rock Plastic Zone of the circular roadway shows different shapes under the different confining pressure conditions. Based on the boundary shape characteristics of the Plastic Zone, the characteristic radii of the Plastic Zone were proposed, namely the horizontal, longitudinal and medial axis radii, which could reflect the Plastic Zone shapes characteristics and classify the sizes of the key parts. On the theoretical basis of elastic-Plastic mechanics, analytical solutions for the characteristic radii were obtained by theoretical deduction, and the relationships between the characteristic radii and key influencing factors were analyzed. Finally, the evaluation criterion of the circular roadway surrounding rock Plastic Zone shapes, evaluation criterion of the location of potential hazards caused by the roadway surrounding rock and evaluation critical points of roadway dynamic disasters based on characteristic radii were proposed. This work could provide a theoretical basis for stability analysis of the surrounding rock, support design, and guide the prevention and control of dynamic roadway disasters.

Soon Keat Tan - One of the best experts on this subject based on the ideXlab platform.

  • An interface crack under biaxial loading with Dugdale Plastic Zone corrections in layered composite materials
    Engineering Fracture Mechanics, 2013
    Co-Authors: Zhongmin Xiao, Soon Keat Tan
    Abstract:

    Abstract With Plastic Zone corrections, the problem of an interface crack between two dissimilar materials under a remote biaxial load is investigated. The mixed-mode Dugdale model is used to examine the Plastic Zone size and the crack tip opening displacement. In the numerical examples, effects of the biaxial loading and Dundurs’ parameters on the Plastic Zone size and the crack tip opening displacement are studied. The results show that the compressive loading parallel to the crack line will increase the values of the Plastic Zone size and the crack tip opening displacement.

  • On the fracture behaviour of an interface crack with Plastic Zone corrections
    Mechanics of Materials, 2013
    Co-Authors: Zhongmin Xiao, Soon Keat Tan
    Abstract:

    Abstract In this paper, the mixed-mode Dugdale model is extended to investigate an interface crack problem. The Plastic Zone size and the crack tip opening displacement for an interface crack between two dissimilar materials under remote uniform tensile loading are examined. In the solution procedure, continuously distributed edge dislocations are applied to simulate the crack, and the physical problem is formulated into the singular integral-equation of 2nd kind. In the numerical examples, the effects of the normalized uniform tensile loads and the Dundurs’ parameters β on the normalized Plastic Zone size and the normalized crack tip opening displacement are analyzed in detail. The obtained results show that the normalized Plastic Zone size and the normalized crack tip opening displacement are symmetrical about the axis β  = 0. Further, the relationships among the Plastic Zone size, the crack tip opening displacement and Dundurs’ parameters are curve-fitted as two polynomial functions which are highly user-friend for engineers in solving practical interface crack problems.

Xavier Feaugas - One of the best experts on this subject based on the ideXlab platform.

  • Analysis of the Plastic Zone size ahead of repaired cracks with bonded composite patch of metallic aircraft structures
    Computational Materials Science, 2009
    Co-Authors: Wahid Oudad, S. Touzain, Bel Abbes Bachir Bouiadjra, M Belhouari, Xavier Feaugas
    Abstract:

    In this study, the three-dimensional and non-linear finite element method is used to estimate the performance of the bonded composite repair of metallic aircraft structures by analyzing the Plastic Zone size ahead of repaired cracks. Several calculations have been realized to extract the Plasticized elements around the crack tip of repaired crack. The obtained results show that the presence of the composite patch reduces considerably the size of the Plastic Zone ahead of the crack. The effects of the adhesive properties and the patch thickness on the Plastic Zone size ahead of repaired cracks were analyzed.