Abo Bibliothek: Guest
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

Comparisons of the Size of the Representative Volume Element in Elastic, Plastic, Thermoelastic, and Permeable Random Microstructures

Volumen 5, Ausgabe 2, 2007, pp. 73-82
DOI: 10.1615/IntJMultCompEng.v5.i2.10
Get accessGet access

ABSTRAKT

The representative volume element (so-called RVE) is the cornerstone of continuum mechanics. In this paper we examine the scaling to RVE in linear elasticity, finite elasticity, elastoplasticity, thermoelasticity, and permeability of random composite materials. In order to compare the scaling to RVE between all these physical systems we introduce a discrepancy defined in terms of responses under uniform essential boundary conditions and uniform natural boundary conditions. Overall, the discrepancy is found to increase in the following order: linear elasticity, plasticity, linear thermoelasticity, nonlinear elasticity, and then permeability. However, the latter case cannot really be compared directly to other cases since the mismatch between solid and fluid phases in porous media is infinite.

REFERENZIERT VON
  1. Das Sonjoy, Ghanem Roger, A Bounded Random Matrix Approach for Stochastic Upscaling, Multiscale Modeling & Simulation, 8, 1, 2009. Crossref

  2. Trovalusci Patrizia, Varano Valerio, Rega Giuseppe, A Generalized Continuum Formulation for Composite Microcracked Materials and Wave Propagation in a Bar, Journal of Applied Mechanics, 77, 6, 2010. Crossref

  3. Wang Congyu, Feng Liang, Jasiuk Iwona, Scale and Boundary Conditions Effects on the Apparent Elastic Moduli of Trabecular Bone Modeled as a Periodic Cellular Solid, Journal of Biomechanical Engineering, 131, 12, 2009. Crossref

  4. Shen Lihua, Xu X. Frank, Multiscale stochastic finite element modeling of random elastic heterogeneous materials, Computational Mechanics, 45, 6, 2010. Crossref

  5. Xu X. Frank, Chen Xi, Stochastic homogenization of random elastic multi-phase composites and size quantification of representative volume element, Mechanics of Materials, 41, 2, 2009. Crossref

  6. Salahouelhadj A., Haddadi H., Estimation of the size of the RVE for isotropic copper polycrystals by using elastic–plastic finite element homogenisation, Computational Materials Science, 48, 3, 2010. Crossref

  7. Li Xu, Xia Yong, Li Ziran, Xia Yuanming, Three-dimensional numerical simulations on the hyperelastic behavior of carbon-black particle filled rubbers under moderate finite deformation, Computational Materials Science, 55, 2012. Crossref

  8. Dalaq Ahmed Saleh, Ranganathan Shivakumar I., Ostoja-Starzewski Martin, Scaling function in conductivity of planar random checkerboards, Computational Materials Science, 79, 2013. Crossref

  9. Wu Yatao, Nie Yufeng, Yang Zihao, Prediction of effective properties for random heterogeneous materials with extrapolation, Archive of Applied Mechanics, 84, 2, 2014. Crossref

  10. Trovalusci Patrizia, De Bellis Maria Laura, Ostoja-Starzewski Martin, Murrali Agnese, Particulate random composites homogenized as micropolar materials, Meccanica, 49, 11, 2014. Crossref

  11. Trovalusci Patrizia, Ostoja-Starzewski Martin, De Bellis Maria Laura, Murrali Agnese, Scale-dependent homogenization of random composites as micropolar continua, European Journal of Mechanics - A/Solids, 49, 2015. Crossref

  12. Wu Yatao, Nie Yufeng, An Efficient Approach to Determine the Effective Properties of Random Heterogeneous Materials, in High Temperature Ceramic Matrix Composites 8, 2014. Crossref

  13. López Jiménez F., On the isotropy of randomly generated representative volume elements for fiber-reinforced elastomers, Composites Part B: Engineering, 87, 2016. Crossref

  14. Liu Yang, Sun WaiChing, Yuan Zifeng, Fish Jacob, A nonlocal multiscale discrete-continuum model for predicting mechanical behavior of granular materials, International Journal for Numerical Methods in Engineering, 106, 2, 2016. Crossref

  15. Ostoja-Starzewski M., Kale S., Karimi P., Malyarenko A., Raghavan B., Ranganathan S.I., Zhang J., , 49, 2016. Crossref

  16. Murshed Muhammad Ridwan, Ranganathan Shivakumar I., Hill–Mandel condition and bounds on lower symmetry elastic crystals, Mechanics Research Communications, 81, 2017. Crossref

  17. Murshed Muhammad Ridwan, Ranganathan Shivakumar I., Scaling laws in elastic polycrystals with individual grains belonging to any crystal class, Acta Mechanica, 228, 4, 2017. Crossref

  18. Chen Xiao, Xu Hongfa, Geng Hansheng, Dong Lu, Zhang Jixiang, A New Equivalent Statistical Damage Constitutive Model on Rock Block Mixed Up with Fluid Inclusions, Mathematical Problems in Engineering, 2018, 2018. Crossref

  19. Wang Kun, Sun WaiChing, A multiscale multi-permeability poroplasticity model linked by recursive homogenizations and deep learning, Computer Methods in Applied Mechanics and Engineering, 334, 2018. Crossref

  20. Ranganathan Shivakumar I., Murshed Muhammad Ridwan, Costa Luis, Heterogeneous Anisotropy Index and scaling in two-phase random polycrystals, Acta Mechanica, 229, 6, 2018. Crossref

  21. Wu L., Adam L., Noels L., A micromechanics-based inverse study for stochastic order reduction of elastic UD fiber reinforced composites analyses, International Journal for Numerical Methods in Engineering, 115, 12, 2018. Crossref

  22. Bouchedjra Moussa, Kanit Toufik, Boulemia Cherif, Amrouche Abdelwaheb, Belouchrani Mohamed El Amine, Determination of the RVE size for polycrystal metals to predict monotonic and cyclic elastoplastic behavior: Statistical and numerical approach with new criteria, European Journal of Mechanics - A/Solids, 72, 2018. Crossref

  23. Wang Kun, Sun WaiChing, An updated Lagrangian LBM–DEM–FEM coupling model for dual-permeability fissured porous media with embedded discontinuities, Computer Methods in Applied Mechanics and Engineering, 344, 2019. Crossref

  24. Ranganathan Shivakumar I., Murshed Muhammad Ridwan, Scaling Function in Mechanics of Random Materials, in Encyclopedia of Continuum Mechanics, 2018. Crossref

  25. Trovalusci Patrizia, De Bellis Maria Laura, Ostoja-Starzewski Martin, A Statistically-Based Homogenization Approach for Particle Random Composites as Micropolar Continua, in Generalized Continua as Models for Classical and Advanced Materials, 42, 2016. Crossref

  26. López Jiménez F., Variations in the distribution of local strain energy within different realizations of a representative volume element, Composites Part B: Engineering, 176, 2019. Crossref

  27. Wu Ling, Nguyen Van-Dung, Adam Laurent, Noels Ludovic, An inverse micro-mechanical analysis toward the stochastic homogenization of nonlinear random composites, Computer Methods in Applied Mechanics and Engineering, 348, 2019. Crossref

  28. Trovalusci Patrizia, Capecchi Danilo, Ruta Giuseppe, Genesis of the multiscale approach for materials with microstructure, Archive of Applied Mechanics, 79, 11, 2009. Crossref

  29. Bayat Alireza, Gordaninejad Faramarz, Characteristic Volume Element for Randomly Particulate Magnetoactive Composites, Journal of Engineering Materials and Technology, 140, 1, 2018. Crossref

  30. Ranganathan Shivakumar I., Murshed Muhammad Ridwan, Scaling Function in Mechanics of Random Materials, in Encyclopedia of Continuum Mechanics, 2020. Crossref

  31. Determination of Representative Volume Elements for Pervious Concrete, ACI Materials Journal, 117, 6, 2020. Crossref

  32. Tu Yuhui, Leen Seán B, Harrison Noel M, A high-fidelity crystal-plasticity finite element methodology for low-cycle fatigue using automatic electron backscatter diffraction scan conversion: Application to hot-rolled cobalt–chromium alloy, Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, 235, 8, 2021. Crossref

  33. Soize C., Stochastic elliptic operators defined by non-Gaussian random fields with uncertain spectrum, Theory of Probability and Mathematical Statistics, 105, 2021. Crossref

  34. Soize Christian, Computational stochastic homogenization of heterogeneous media from an elasticity random field having an uncertain spectral measure, Computational Mechanics, 68, 5, 2021. Crossref

  35. Moraleda Joaquín, Segurado Javier, Llorca Javier, Effect of interface fracture on the tensile deformation of fiber-reinforced elastomers, International Journal of Solids and Structures, 46, 25-26, 2009. Crossref

  36. Moraleda Joaquín, Segurado Javier, LLorca Javier, Finite deformation of incompressible fiber-reinforced elastomers: A computational micromechanics approach, Journal of the Mechanics and Physics of Solids, 57, 9, 2009. Crossref

  37. Shirole Deepanshu, Walton Gabriel, Hedayat Ahmadreza, Experimental investigation of multi-scale strain-field heterogeneity in rocks, International Journal of Rock Mechanics and Mining Sciences, 127, 2020. Crossref

  38. Spilker Kevin, Nguyen Van-Dung, Adam Laurent, Wu Ling, Noels Ludovic, Piecewise-uniform homogenization of heterogeneous composites using a spatial decomposition based on inelastic micromechanics, Composite Structures, 295, 2022. Crossref

  39. Soize Christian, Probabilistic learning inference of boundary value problem with uncertainties based on Kullback–Leibler divergence under implicit constraints, Computer Methods in Applied Mechanics and Engineering, 395, 2022. Crossref

Digitales Portal Digitale Bibliothek eBooks Zeitschriften Referenzen und Berichte Forschungssammlungen Preise und Aborichtlinien Begell House Kontakt Language English 中文 Русский Português German French Spain