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Philosophical Magazine Volume 91, 2011 - Issue 4
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Part A: Materials Science

On the scatter ranges for the elastic moduli of random aggregates of general anisotropic crystals

Pham Duc Chinh Vietnamese Academy of Science and Technology, Vien Co Hoc, 264 Doi Can, Hanoi, VietnamCorrespondence[email protected]
Pages 609-627 | Received 01 Mar 2010, Accepted 25 Sep 2010, Published online: 20 Nov 2010

Citations (12)

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Read on this site (1)

Duc Chinh Pham. (2014) Improved three-point correlation estimates for the effective elastic moduli of random orthorhombic crystals and multicomponent materials. Philosophical Magazine 94:10, pages 1112-1131.
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Articles from other publishers (11)

Duc-Chinh Pham. (2022) Unified original and iteration minimum energy bounds on longitudinal-transverse elastic constants of transversely isotropic unidirectional composites. Journal of Mechanics of Materials and Structures 17:5, pages 421-440.
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Duc-Chinh Pham. (2021) Minimum energy and iteration estimates for longitudinal Young’s modulus and Poisson’s ratio of transversely-isotropic unidirectional composites. Mechanics of Materials 160, pages 103983.
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Duc-Chinh pham. (2020) Minimum energy bounds on longitudinal elastic constants of transversely isotropic unidirectional composites. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476:2239, pages 20190752.
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D. C. Pham, C. H. Le & T. M. H. Vuong. (2016) Estimates for the elastic moduli of d-dimensional random cell polycrystals. Acta Mechanica 227:10, pages 2881-2897.
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J. Michael Brown. (2015) Determination of Hashin–Shtrikman bounds on the isotropic effective elastic moduli of polycrystals of any symmetry. Computers & Geosciences 80, pages 95-99.
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D.R. Schmitt. 2015. Treatise on Geophysics. Treatise on Geophysics 43 87 .
James G. Berryman. (2014) Influence of crack density on geomechanical behavior of granular composites with porous grains and fluid-saturated pores. International Journal for Numerical and Analytical Methods in Geomechanics 38:13, pages 1381-1396.
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James G. Berryman. (2013) Combining analysis of random elastic polycrystals with poroelasticity for granular composites having orthotropic porous grains and fluid-filled pores. International Journal of Engineering Science 72, pages 11-21.
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James G. Berryman. (2012) Evaluating bounds and estimators for constants of random polycrystals composed of orthotropic elastic materials. International Journal of Engineering Science 58, pages 11-20.
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Duc Chinh Pham. (2011) Strong-contrast expansion correlation approximations for the effective elastic moduli of multiphase composites. Archive of Applied Mechanics 82:3, pages 377-389.
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Pham Duc Chinh. (2011) Bounds on the effective conductivity of statistically isotropic multicomponent materials and random cell polycrystals. Journal of the Mechanics and Physics of Solids 59:3, pages 497-510.
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