Estimates for the elastic moduli of \(d\)-dimensional random cell polycrystals

DOI10.1007/s00707-016-1653-yzbMath1380.74009OpenAlexW2395849436MaRDI QIDQ1693691

Peng Zhang

Publication date: 31 January 2018

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-016-1653-y

Mathematics Subject Classification ID

Crystalline structure (74E15) Random materials and composite materials (74A40) Random structure in solid mechanics (74E35)

Related Items (1)

Minimum energy bounds on longitudinal elastic constants of transversely isotropic unidirectional composites

Cites Work

• Diffusivity of ultrasound in polycrystals
• A comparison of homogenization and standard mechanics analyses for periodic porous composites
• Bounds on the effective shear modulus of multiphase materials
• Bounds and self-consistent estimates for elastic constants of random polycrystals with hexagonal, trigonal, and tetragonal symmetries
• Revised bounds on the elastic moduli of two-dimensional random polycrystals
• On bounds for the overall elastic moduli of inhomogeneous systems. I
• A variational approach to the theory of the elastic behaviour of polycrystals
• Optimal Bounds on the Effective Bulk Modulus of Polycrystals
• Shape optimization by the homogenization method
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