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国际多尺度计算工程期刊

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ISSN 打印: 1543-1649

ISSN 在线: 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 INEQUALITIES FOR HETEROGENEOUS MICROSTRUCTURES BASED ON COUPLE-STRESS THEORY

卷 16, 册 2, 2018, pp. 101-119
DOI: 10.1615/IntJMultCompEng.2018022854
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摘要

In this work, we view mesoscopic material volume elements consisting of heterogeneous microstructures as couple-stress continua to account for underlying length-scale dependence. We use a recently established self-consistent version of couple-stress theory that results in a skew-symmetric couple-stress tensor, along with the energy-conjugate mean-curvature tensor. Using this new theoretical framework, we establish a generalized Hill energetic equivalence relationship that leads to a homogeneous material representation at the macroscale point associated with the mesoscopic volume element. We identify the necessary and sufficiency conditions that enable the extension of the couple-stress continuum framework and its application to incorporate the mesoscale features into the macroscale continuum description. We establish the concept of a micromechanically consistent macroscopic elastic constitutive tensor within this paradigm and also propose special kinematically and statically uniform boundary conditions, analogous to previous work in classical elasticity. This then leads to determination of two suitable matrices that bound the matrix representation of the macroscopic elastic constitutive tensor in the positive definite sense. Similar bounds based on classical mechanics are found to be critical quantities in several aspects of multiscale material modeling. We envisage that the theoretical work presented here will be useful in analyzing coarse-grained heterogeneous microstructures with inherent characteristic length-scale features contained within the mesoscopic material volume element.

对本文的引用
  1. Buryachenko Valeriy A., Modeling of One Inclusion in the Infinite Peristatic Matrix Subjected to Homogeneous Remote Loading, Journal of Peridynamics and Nonlocal Modeling, 1, 2, 2019. Crossref

  2. Buryachenko Valeriy A., Computational Homogenization in Linear Peridynamic Micromechanics of Periodic Structure CMs, in Local and Nonlocal Micromechanics of Heterogeneous Materials, 2022. Crossref

  3. Ismael Aya M., Eldabe Nabil T., Abou zeid Mohamed Y., El Shabouri Sami M., Thermal micropolar and couple stresses effects on peristaltic flow of biviscosity nanofluid through a porous medium, Scientific Reports, 12, 1, 2022. Crossref

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