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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

VARIATIONAL FORMULATION ON EFFECTIVE ELASTIC MODULI OF RANDOMLY CRACKED SOLIDS

巻 9, 発行 3, 2011, pp. 347-363
DOI: 10.1615/IntJMultCompEng.v9.i3.60
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要約

Formulation of variational bounds for properties of inhomogeneous media constitutes one of the most fundamental parts of theoretical and applied mechanics. The merit of rigorously derived bounds lies in them not only providing verification for approximation methods, but more importantly, serving as the foundation for building up mechanics models. A direct application of classical micromechanics theories to random cracked media, however, faces a problem of singularity due to a zero volume fraction of cracks. In this study a morphological model of random cracks is first established. Based on the morphological model, a variational formulation of randomly cracked solids is developed by applying the stochastic Hashin-Shtrikman variational principle formulated by Xu (J. Eng. Mech., vol. 135, pp. 1180-1188, 2009) and the Green-function-based method by Xu et al. (Comput. Struct., vol. 87, pp. 1416-1426, 2009). The upper-bound expressions are explicitly given for penny-shaped and slit-like random cracks with parallel and random orientations. Unlike previous works, no special underlying morphology is assumed in the variational formulation, and the bounds obtained are applicable to many realistic non-self-similar morphologies.

によって引用された
  1. XU X. F., STEFANOU G., Explicit bounds on elastic moduli of solids containing isotropic mixture of cracks and voids, Fatigue & Fracture of Engineering Materials & Structures, 35, 8, 2012. Crossref

  2. Xu X. Frank, Ellipsoidal bounds and percolation thresholds of transport properties of composites, Acta Mechanica, 223, 4, 2012. Crossref

  3. Xu X, Variational Principles, Bounds and Percolation Thresholds of Composites, in Handbook of Micromechanics and Nanomechanics, 2013. Crossref

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