Static bending of granular beam: exact discrete and nonlocal solutions

DOI10.1007/s11012-022-01531-7zbMath1525.74121MaRDI QIDQ6100348

Félix Darve, Noël Challamel, Sina Massoumi, François Nicot, Antoine Wautier, Jean Lerbet

Publication date: 22 June 2023

Published in: Meccanica (Search for Journal in Brave)

zbMATH Keywords

discrete element methodmicropolar modellength scale effectBresse-Timoshenko beamCosserat discrete model

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Granularity (74E20) Numerical and other methods in solid mechanics (74S99)

Related Items

Shear vibration modes of granular structures: Continuous and discrete approaches

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A discrete model and analysis of one-dimensional deformations in a structural interface with micro-rotations
• Longitudinal and transverse elastic waves in 1D granular materials modeled as micromorphic continua
• Second-order work criterion and divergence criterion: a full equivalence for kinematically constrained systems
• Elastic materials with couple-stresses
• Statics and dynamics of nanorods embedded in an elastic medium: nonlocal elasticity and lattice formulations
• Identification of non-local continua for lattice-like materials
• Higher-order continua derived from discrete media: continualisation aspects and boundary conditions
• Generalised homogenisation procedures for granular materials
• Micro-structure in linear elasticity
• Numerical investigation of 1D continuum dynamical models of discrete chain
• Nonlocal Continuum Field Theories
• Microcontinuum Field Theories
• Granular micromechanics model for damage and plasticity of cementitious materials based upon thermomechanics
• Cosserat Continuum Mechanics
• The Shear Coefficient in Timoshenko’s Beam Theory