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.
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References
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© 2009 Tsinghua University Press, Beijing and Springer-Verlag GmbH Berlin Heidelberg
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Long, YQ., Cen, S., Long, ZF. (2009). Quadrilateral Area Coordinate Systems, Part I — Theory and Formulae. In: Advanced Finite Element Method in Structural Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00316-5_16
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DOI: https://doi.org/10.1007/978-3-642-00316-5_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-00315-8
Online ISBN: 978-3-642-00316-5
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