• Title/Summary/Keyword: P-Ritz energy method

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Closed-form solution for the buckling behavior of the delaminated FRP plates with a rectangular hole using super-elastic SMA stitches

  • Soltanieh, Ghazaleh;Yam, Michael CH.;Zhang, Jing-Zhou;Ke, Ke
    • Structural Engineering and Mechanics
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    • v.81 no.1
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    • pp.39-50
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    • 2022
  • Layer separation (delamination) is an essential threat to fiber-reinforced polymer (FRP) plates under dynamic, static, and fatigue loads. Under compressive load, the growth of delamination will lead to structural instability. The aim of this paper is to present a method using shape memory alloy (SMA) stitches to suppress the delamination growth in a FRP plate and to improve the buckling behavior of the plate with a rectangular hole. The present paper is divided into two parts. Firstly, a closed-form (CF) formulation for evaluating the buckling load of the FRP plate is presented. Secondly, the finite element method (FEM) will be employed to calculate the buckling loads of the plates which serves to validate the results obtained from the closed-form method. The novelty of this work is the development of the closed-form solution using the p-Ritz energy approach regarding the stress-dependent phase transformation of SMA to trace the equilibrium path. For the FEM, the Lagoudas constitutive model of the SMA material is implemented in FORTRAN programming language using a user material subroutines (VUMAT). The model is simulated in ABAQUS/Explicit solver due to the nature of the loading type. The cohesive zone model (CZM) is applied to simulate the delamination growth.

A Structural Analysis of Sandwich Plate with Unsymmetrical FRP Thick Faces (두껍고 비대칭인 FRP면재를 갖는 Sandwich 평판의 구조해석)

  • Ik-Tai Kim;Ki-Sung Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.32 no.1
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    • pp.132-140
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    • 1995
  • The structural behavior of sandwich plates with unsymmetricaly thick faces are analysed using Raleigh-Ritz Energy method by comparing the bending stresses, shear stresses, local bending stresses, membrane stresses of skin and core materials including local bending effect. As for sandwich materials, the combination of two types of face materials and three types of core materials are used in the analysis.

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