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International Journal for Multiscale Computational Engineering

Erscheint 6 Ausgaben pro Jahr

ISSN Druckformat: 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

Indexed in

Generalized Mathematical Homogenization of Atomistic Media at Finite Temperatures

Volumen 3, Ausgabe 4, 2005, pp. 393-413
DOI: 10.1615/IntJMultCompEng.v3.i4.10
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ABSTRAKT

In this manuscript, we derive thermomechanical continuum equations directly from molecular dynamics using the generalized mathematical homogenization (GMH) theory. GMH is a space-time multiple-scale asymptotic expansion method, which constructs the coupled atomistic unit-cell problem and the coarse-scale (continuum) problem. The fine-scale problem derived can be interpreted as a molecular dynamics problem on a unit cell, subjected to the coarse-scale fields including macroscopic deformation gradient and temperature. The coarse-scale problem derived is a constitutive law-free continuum thermomechanical equation, which calculates the overall stress and thermal flux vector directly from atomistics. Numerical experiments have been conducted to verify the formulation against the reference molecular dynamics solution. Attention is restricted to one-dimensional problems.

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