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Transient Dynamic Stress Intensity Factor of FGM Plates Using the State Space and MLPG Methods

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Iranian Journal of Science and Technology, Transactions of Mechanical Engineering Aims and scope Submit manuscript

Abstract

In this paper, a new effective method named state-space is extended and utilized to analyze FGM dynamic fracture problems, discretized by the meshless local Petrov–Galerkin method. Both the moving least square and the direct method have been applied to estimate the shape function and to impose the essential boundary conditions. The visibility criterion is used to simulate the displacement and stress field around the crack tip. Normalized dynamic stress intensity factors are calculated using the path-independent integral, J*, which is formulated for the non-homogeneous material. Two methods commonly used in solving such discretized problems, namely, the central difference method and the Newmark method, are compared with the proposed method. Both homogeneous and non-homogeneous (FGM) center-cracked plates under uniform tensile impact load are used to examine the accuracy and the computational time of the new method. The results of the implementation of these methods are compared with existent solutions. The results show that the state-space method saves substantial computational time for a given accuracy. The center-cracked plate made of FGM with two different material gradations (along and normal to the crack length) and four different FGM zones under the effect of uniform tensile impact load are considered, and the dynamic stress intensity factors are studied under the influence of various non-homogeneity ratios.

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Authors and Affiliations

  1. Malek-Ashtar University of Technology, Shiraz, Iran

    A. Abdollahifar

  2. Department of Mechanical Engineering, Shiraz University, Shiraz, Iran

    B. Sabet & M. R. Nami

Authors
  1. A. Abdollahifar
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  2. B. Sabet
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  3. M. R. Nami
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Correspondence to A. Abdollahifar.

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Abdollahifar, A., Sabet, B. & Nami, M.R. Transient Dynamic Stress Intensity Factor of FGM Plates Using the State Space and MLPG Methods. Iran J Sci Technol Trans Mech Eng 43 (Suppl 1), 733–748 (2019). https://doi.org/10.1007/s40997-018-0191-8

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  • DOI: https://doi.org/10.1007/s40997-018-0191-8

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