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Quadrilateral Area Coordinate Systems, Part I — Theory and Formulae

  • Yu-Qiu Long
  • Song Cen
  • Zhi-Fei Long

Abstract

This chapter introduces new concepts for developing the quadrilateral finite element models. Firstly, the quadrilateral area coordinate system (QACM-I) with four coordinate components, which is a generalization of the triangular area coordinate method, is systematically established in detail. Then, on the basis of the QACM-I, another quadrilateral area coordinate system (QACM-II) with only two coordinate components is also proposed. These new coordinate systems provide the theoretical bases for the construction of new quadrilateral element models insensitive to mesh distortion, which will be introduced in Chap. 17.

Keywords

quadrilateral element quadrilateral area coordinate system coordinate components QACM-I QACM-II 

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Copyright information

© Tsinghua University Press, Beijing and Springer-Verlag GmbH Berlin Heidelberg 2009

Authors and Affiliations

  • Yu-Qiu Long
    • 1
  • Song Cen
    • 1
  • Zhi-Fei Long
    • 2
  1. 1.Department of Civil Engineering, School of Civil EngineeringTsinghua UniversityBeijingChina
  2. 2.School of Mechanics & Civil EngineeringChina University of Mining & TechnologyBeijingChina

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