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Philosophical Magazine Volume 86, 2006 - Issue 2
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Original Articles

New estimates for macroscopic elastic moduli of random polycrystalline aggregates

P. D. Chinh Vietnamese Academy of Science and Technology, Vien Co hoc, 264 Doi Can, Hanoi, VietnamCorrespondence[email protected]
Pages 205-226 | Received 14 Apr 2005, Accepted 07 Sep 2005, Published online: 21 Feb 2007

Citations (14)

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Read on this site (5)

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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D.C. Pham, L.D. Vu & V.L. Nguyen. (2013) Bounds on the ranges of the conductive and elastic properties of randomly inhomogeneous materials. Philosophical Magazine 93:18, pages 2229-2249.
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Pham Duc Chinh. (2011) On the scatter ranges for the elastic moduli of random aggregates of general anisotropic crystals. Philosophical Magazine 91:4, pages 609-627.
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U. Welzel & S. Fréour . (2007) Extension of the Vook–Witt and inverse Vook–Witt elastic grain-interaction models to general loading states. Philosophical Magazine 87:26, pages 3921-3943.
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P. Duc Chinh. (2007) Three-point interpolation approximation for the macroscopic properties of isotropic two-component materials. Philosophical Magazine 87:24, pages 3531-3544.
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Articles from other publishers (9)

Jingli Li, Qiang Miao, Wenping Liang, Ruixiang Liu, Hui Zhao, Jingjia Sun, Jing Zhang, Kai Zang, Jianyan Xu, Wei Yao, Xiaoma Tao & Mingguang Liu. (2022) Functionally Gradient Coatings from HfC/ HfTaC2 to Ti: Growth Process, Basic Mechanical Properties and Wear Behavior. Coatings 12:12, pages 1941.
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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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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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Pham Duc Chinh. (2012) Bounds on the elastic moduli of statistically isotropic multicomponent materials and random cell polycrystals. International Journal of Solids and Structures 49:18, pages 2646-2659.
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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. (2008) On the macroscopic elastic moduli of inhomogeneous materials and random orthorhombic polycrystals. Acta Mechanica 206:1-2, pages 59-68.
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Pham Duc Chinh. (2007) Estimates for the elastic moduli of random trigonal polycrystals and their macroscopic uncertainty. International Journal of Solids and Structures 44:9, pages 2763-2772.
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Pham Duc Chinh. (2007) Macroscopic uncertainty of the effective properties of random media and polycrystals. Journal of Applied Physics 101:2.
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