Computational homogenization of higher?order continua

We introduce a novel computational framework for the multiscale simulation of higher-order continua that allows consideration first-, second-, and third-order effects at both micro- macro-level. In line with classical two-scale approaches, we describe microstructure via representative volume elements are attached each integration point macroscopic problem. To take account extended continuity requirements independent fields macro-level, discretize scales isogeometric analysis (IGA). As result, obtain an IGA 2 -method is conceptually similar to well-known FE -method. demonstrate functionality accuracy this method by means series simulations involving different kinds continua.