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The international Conference on Advanced Materials with Hierarchical Structure for new Technologies and Reliable Structures -2019 is a follow-up to the conferences on physical mesomechanics, which has been held since 1996. The current strategy of materials science development is based on a multiscale interdisciplinary approach whose applicability has become obvious. This new paradigm is integrated into the methodology of mechanics, physics, chemistry, informatics, life sciences, geology, and other branches. Modern industrial and engineering applications require that the multilevel, hierarchical organization of materials, structures, media, and systems of different origin must be taken into account. In fact, the material must be considered today as an individual structural level of a product or a structure. This enables an efficient exploitation of new opportunities offered by modern manufacturing technologies.