Coupled systems mechanics

  • 제8권6호
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  • Pages.537-553
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  • 2019
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  • 2234-2184(pISSN)
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  • 2234-2192(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Geometrically exact initially curved Kirchhoff's planar elasto-plastic beam

  • 투고 : 2019.07.15
  • 심사 : 2019.11.30
  • 발행 : 2019.12.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper we present geometrically exact Kirchhoff's initially curved planar beam model. The theoretical formulation of the proposed model is based upon Reissner's geometrically exact beam formulation presented in classical works as a starting point, but with imposed Kirchhoff's constraint in the rotated strain measure. Such constraint imposes that shear deformation becomes negligible, and as a result, curvature depends on the second derivative of displacements. The constitutive law is plasticity with linear hardening, defined separately for axial and bending response. We construct discrete approximation by using Hermite's polynomials, for both position vector and displacements, and present the finite element arrays and details of numerical implementation. Several numerical examples are presented in order to illustrate an excellent performance of the proposed beam model.

키워드

과제정보

연구 과제 주관 기관 : UTC, IUF-Institute Universitaire de France

The research described in this paper was financially supported by the Chaire de Mécanique UTC and IUF-Institute Universitaire de France.

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