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International Journal for Multiscale Computational Engineering

Published 6 issues per year

ISSN Print: 1543-1649

ISSN Online: 1940-4352

The Impact Factor measures the average number of citations received in a particular year by papers published in the journal during the two preceding years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) IF: 1.4 To calculate the five year Impact Factor, citations are counted in 2017 to the previous five years and divided by the source items published in the previous five years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) 5-Year IF: 1.3 The Immediacy Index is the average number of times an article is cited in the year it is published. The journal Immediacy Index indicates how quickly articles in a journal are cited. Immediacy Index: 2.2 The Eigenfactor score, developed by Jevin West and Carl Bergstrom at the University of Washington, is a rating of the total importance of a scientific journal. Journals are rated according to the number of incoming citations, with citations from highly ranked journals weighted to make a larger contribution to the eigenfactor than those from poorly ranked journals. Eigenfactor: 0.00034 The Journal Citation Indicator (JCI) is a single measurement of the field-normalized citation impact of journals in the Web of Science Core Collection across disciplines. The key words here are that the metric is normalized and cross-disciplinary. JCI: 0.46 SJR: 0.333 SNIP: 0.606 CiteScore™:: 3.1 H-Index: 31

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GENERALIZED FOUR-NODE PLANE RECTANGULAR AND QUADRILATERAL ELEMENTS AND THEIR APPLICATIONS IN THE MULTISCALE ANALYSIS OF HETEROGENEOUS STRUCTURES

Volume 11, Issue 1, 2013, pp. 71-91
DOI: 10.1615/IntJMultCompEng.2012003186
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ABSTRACT

Homogenization methods have been widely used in the multiscale analysis of heterogeneous structures. For two-dimensional problems, microscale and macroscale computations in these methods are mainly conducted based on conventional plane rectangular and isoparametric elements due to their simplicity. However, since the coupled deformation among different directions is intrinsically ignored in these elements, they may reduce the efficiency of the homogenization methods and thus a dense mesh needs to be used to obtain more reliable and accurate results. To overcome these deficiencies, generalized rectangular and quadrilateral elements with four nodes for plane problems are developed in this paper. The coupled additional terms are introduced in the interpolation shape functions without increasing the number of degrees of freedom of the elements. Based on the elastic equations of equilibrium within the elements, analytical formulas of these functions are derived under linear boundary conditions. It is demonstrated that two kinds of elements can represent three rigid body modes and ensure the passage of the patch test for the requirement of convergence; and are all compatible. In addition, several elements with different forms of the coupled additional terms are also constructed. The verification and accuracy of the new developed elements are examined by means of numerical examples. The homogenization analysis for two-dimensional heterogeneous structures based on the developed elements is performed and the advantages of these elements over the conventional four-node plane rectangular and isoparametric quadrilateral elements are discussed. It is demonstrated that the new elements can be successfully used for the multiscale analysis of heterogeneous structures.

CITED BY
  1. Xia Yang, Zheng Guojun, Hu Ping, Incompatible modes with Cartesian coordinates and application in quadrilateral finite element formulation, Computational and Applied Mathematics, 36, 2, 2017. Crossref

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