TY - JOUR ID - 2944 TI - AN EXTENDED CONTINUUM MECHANICS FORMULATION ENHANCED BY DIRECT COUPLING WITH MOLECULAR DYNAMICS JO - Iranian Journal of Science and Technology Transactions of Mechanical Engineering JA - IJSTM LA - en SN - 2228-6187 AU - HABIBI, S. E. AU - FARID, M. AU - KADIVAR, M. H. KADIVAR AU - MAHZOON, M. MAHZOON AD - Dept. of Mechanical Engineering, Persian Gulf University, Bushehr, I. R. of Iran AD - School of Mechanical Engineering, College of Engineering, Shiraz University, Shiraz, I. R. of Iran Y1 - 2015 PY - 2015 VL - 39 IS - M1 SP - 1 EP - 14 KW - Extended continuum mechanics (ECM) KW - generalized continua KW - molecular dynamics KW - nanomechanics KW - dipolar continuum mechanics DO - 10.22099/ijstm.2015.2944 N2 - Based on the notion of micro-structure in linear elasticity presented by Mindlin, a newextended continuum mechanics (ECM) formulation is derived which can be utilized to model thematerial behavior at atomic scale. An attempt has been made to present a formulation capable ofproducing the molecular dynamics (MD) simulation results with less computational effort. To thisend, some new kinematical variables are defined and some constitutive relations are obtained fromMD. To validate the proposed ECM formulation, it is applied to a properly defined sampleproblem and the response is compared with the MD simulation result and the classical continuummechanics (CCM) solution. UR - https://ijstm.shirazu.ac.ir/article_2944.html L1 - https://ijstm.shirazu.ac.ir/article_2944_51886de0fd589371dd0668f31e21b535.pdf ER -