Valeriy Buryachenko's blog

``UNIFIED MICROMECHANICS THEORY of Composites” (UMTC) by Buryachenko is proposed for analyses of composite materials (CMs) of either matrix random (statistically homogeneous or inhomogeneous probability descriptors), periodic, or deterministic (neither random nor periodic) structures, endowed with local, weakly nonlocal (higher-grade, higher-order, or micromorphic models), strongly nonlocal (strain-type or displacement-type, peridynamics), or multiphysics phase properties. 

``UNIFIED MICROMECHANICS THEORY of Composites” by Buryachenko has been created (see https:// arxiv.org/abs/2503.14529,  89pp, 514refs) for analyses of composites of either random (statistically homogeneous or inhomogeneous), periodic, or deterministic (neither random nor periodic) structures with either local, weakly nonlocal (strain gradient and stress gradient), strongly nonlocal (strain-type and displacement-type, peridynamics) or multiphysics phase properties and any unpredefined surrogate (effective) nonlocal operators.