Closed-form formulas for the effective properties of random particulate nanocomposites with complete Gurtin-Murdoch model of material surfaces

DOI10.1007/s00161-016-0521-2zbMath1365.74014OpenAlexW2477208931MaRDI QIDQ2359100

Swantje Bargmann, Lidiia Nazarenko, Henryk K. Stolarski

Publication date: 27 June 2017

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-016-0521-2

zbMATH Keywords

nanoparticlesnanocompositecomposite of stochastic structureGurtin-Murdoch interface conditionsnanoporous metalssize-dependent effective properties

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Effective constitutive equations in solid mechanics (74Q15) Random materials and composite materials (74A40) PDEs in connection with mechanics of deformable solids (35Q74) Statistical mechanics of nanostructures and nanoparticles (82D80)

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Effective properties of particulate nano-composites including Steigmann-Ogden model of material surface, Hybrid homogenization theory with surface effects: application to columnar nanoporous materials, Surface-dislocation interaction by various models of surface elasticity, A mesoscopic model for particle-reinforced composites, Bounds on size effects in composites via homogenization accounting for general interfaces, Thermo-elastic properties of random composites with unidirectional anisotropic short-fibers and interphases, Derivation of a mesoscopic model for nonlinear particle-reinforced composites from a fully microscopic model

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