Structural Engineering and Mechanics

  • 제68권3호
  • /
  • Pages.299-312
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  • 2018
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  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

An extended finite element method for modeling elastoplastic FGM plate-shell type structures

  • Jrad, Hanen (Engineering Production Mechanics and Materials Unit (UGPMM), National Engineering School of Sfax, University of Sfax) ;
  • Mars, Jamel (Engineering Production Mechanics and Materials Unit (UGPMM), National Engineering School of Sfax, University of Sfax) ;
  • Wali, Mondher (Department of Mechanical Engineering, College of Engineering, King Khalid University) ;
  • Dammak, Fakhreddine (Engineering Production Mechanics and Materials Unit (UGPMM), National Engineering School of Sfax, University of Sfax)
  • 투고 : 2018.05.25
  • 심사 : 2018.08.08
  • 발행 : 2018.11.10
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, an extended finite element method is proposed to analyze both geometric and material non-linear behavior of general Functionally Graded Material (FGM) plate-shell type structures. A user defined subroutine (UMAT) is developed and implemented in Abaqus/Standard to study the elastoplastic behavior of the ceramic particle-reinforced metal-matrix FGM plates-shells. The standard quadrilateral 4-nodes shell element with three rotational and three translational degrees of freedom per node, S4, is extended in the present study, to deal with elasto-plastic analysis of geometrically non-linear FGM plate-shell structures. The elastoplastic material properties are assumed to vary smoothly through the thickness of the plate-shell type structures. The nonlinear approach is based on Mori-Tanaka model to underline micromechanics and locally determine the effective FGM properties and self-consistent method of Suquet for the homogenization of the stress-field. The elasto-plastic behavior of the ceramic/metal FGM is assumed to follow Ludwik hardening law. An incremental formulation of the elasto-plastic constitutive relation is developed to predict the tangent operator. In order to to highlight the effectiveness and the accuracy of the present finite element procedure, numerical examples of geometrically non-linear elastoplastic functionally graded plates and shells are presented. The effects of the geometrical parameters and the volume fraction index on nonlinear responses are performed.

키워드

과제정보

연구 과제 주관 기관 : Tunisian Ministry of Higher Education and Scientific Research

참고문헌

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피인용 문헌

  1. Analyzing FG shells with large deformations and finite rotations vol.16, pp.5, 2018, https://doi.org/10.1108/wje-10-2018-0357
  2. Dynamic analysis of functionally graded carbon nanotube-reinforced shell structures with piezoelectric layers under dynamic loads vol.26, pp.13, 2020, https://doi.org/10.1177/1077546319892753