Novel Enriched Kinetic Energy continuum model for the enhanced prediction of a 1D lattice with next-nearest interactions

Low-order non-classical continuum models for the improved prediction of an anisotropic membrane lattice’s dynamics

“…Polyzos and Fotiadis [34] employ several standard continualization procedures, leading to nonclassical continuum models with high-order differential equations, whereas Bacigalupo and Gambarotta [35] propose a non-standard continualization technique denominated Regularization, removing these high-order derivatives. Gómez-Silva et al [36] and Gómez-Silva and Zaera [37] [40] and Gómez-Silva and Zaera [41] study a lattice beam system considering bending deformation, Gómez-Silva and Zaera including next-nearest interactions in [42]. A modified semi-continuum Euler beam model with relaxation phenomenon is developed by Shen and Li in [43], where they present the bending deformation of a extreme-thin beam with micro/nano-scale thickness.…”