Derivation of higher order gradient continuum theories in 2,3-D nonlinear elasticity from periodic lattice models

DOI10.1016/0022-5096(94)90051-5zbMath0820.73014OpenAlexW1968791854MaRDI QIDQ1319078

Nicholas Triantafyllidis, Scott G. Bardenhagen

Publication date: 10 September 1995

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-5096(94)90051-5

zbMATH Keywords

stability analysisboundary value problemEuler-Lagrange differential equationsTaylor series expansioncentral forceshexagonal latticeinteraction potentialstwo-dimensional square latticeconstitutive tensorsdensity of deformation energyellipticity domainsstationarity principle of elastic potential

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Micromechanics of solids (74M25) Micromechanical theories (74A60) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Dynamical problems in solid mechanics (74H99) Theory of constitutive functions in solid mechanics (74A20) Equilibrium (steady-state) problems in solid mechanics (74G99)

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