A micromechanical approach of nonlocal modeling for media with periodic microstructures
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Publication:1939775
DOI10.1016/j.mechrescom.2007.07.004zbMath1258.74174OpenAlexW1964476460MaRDI QIDQ1939775
Xi Yuan, Tomoaki Andou, Yoshihiro Tomita
Publication date: 5 March 2013
Published in: Mechanics Research Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mechrescom.2007.07.004
Effective constitutive equations in solid mechanics (74Q15) Micromechanical theories (74A60) Homogenization in equilibrium problems of solid mechanics (74Q05)
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Cites Work
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- Nonlocal continuum mechanics based on distributions
- Elastic materials with couple-stresses
- Homogenization of heterogeneous polymers
- Microstructural effects in elastic composites
- On rigorous derivation of strain gradient effects in the overall behaviour of periodic heterogeneous media
- Cosserat overall modeling of heterogeneous materials
- Micro-structure in linear elasticity
- On the theorems for local volume averaging of multiphase systems
- Multi‐scale constitutive modelling of heterogeneous materials with a gradient‐enhanced computational homogenization scheme
- A micromechanically based couple-stress model of an elastic two-phase composite
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