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International Journal for Multiscale Computational Engineering

年間 6 号発行

ISSN 印刷: 1543-1649

ISSN オンライン: 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

Indexed in

A Fast Multipole Boundary Integral Equation Method for Periodic Boundary Value Problems in Three-Dimensional Elastostatics and its Application to Homogenization

巻 4, 発行 4, 2006, pp. 487-500
DOI: 10.1615/IntJMultCompEng.v4.i4.60
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要約

This paper presents a fast multipole method (FMM) for periodic elastostatic problems in three dimensions. The proposed method periodizes the solution by using replica cells, but none of the lattice sums involved are divergent and, hence, there is no mathematical ambiguity in the formulation. We estimate macroscopic elastic constants of composites with rigid inclusions using the periodic FMM and the homogenization theory, which requires solutions of periodic boundary value problems for the microstructure. Good agreement is achieved between the macroscopic elastic constants obtained with the proposed method and those obtained with micromechanics.

によって引用された
  1. Otani Yoshihiro, Nishimura Naoshi, An FMM for periodic boundary value problems for cracks for Helmholtz' equation in 2D, International Journal for Numerical Methods in Engineering, 73, 3, 2008. Crossref

  2. Otani Yoshihiro, Nishimura Naoshi, A periodic FMM for Maxwell’s equations in 3D and its applications to problems related to photonic crystals, Journal of Computational Physics, 227, 9, 2008. Crossref

  3. Li Shaojing, Van Orden Derek A., Lomakin Vitaliy, Fast Periodic Interpolation Method for Periodic Unit Cell Problems, IEEE Transactions on Antennas and Propagation, 58, 12, 2010. Crossref

  4. Tong Mei Song, Chew Weng Cho, Multilevel fast multipole algorithm for elastic wave scattering by large three-dimensional objects, Journal of Computational Physics, 228, 3, 2009. Crossref

  5. Pindera Marek-Jerzy, Khatam Hamed, Drago Anthony S., Bansal Yogesh, Micromechanics of spatially uniform heterogeneous media: A critical review and emerging approaches, Composites Part B: Engineering, 40, 5, 2009. Crossref

  6. Liu Y. J., Mukherjee S., Nishimura N., Schanz M., Ye W., Sutradhar A., Pan E., Dumont N. A., Frangi A., Saez A., Recent Advances and Emerging Applications of the Boundary Element Method, Applied Mechanics Reviews, 64, 3, 2011. Crossref

  7. Barnett Alex H., Marple Gary R., Veerapaneni Shravan, Zhao Lin, A Unified Integral Equation Scheme for Doubly Periodic Laplace and Stokes Boundary Value Problems in Two Dimensions, Communications on Pure and Applied Mathematics, 71, 11, 2018. Crossref

  8. Application to Solve Multiphysics Problems, in The Nyström Method in Electromagnetics, 2020. Crossref

  9. Gumerov Nail A., Duraiswami Ramani, A method to compute periodic sums, Journal of Computational Physics, 272, 2014. Crossref

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