Multi-Scale Approaches to Micro-Structured Materials Modeling

Mechanical metamaterials are designed to provide desired behaviors for engineering and scientific researches using multi-scale modeling techniques. The proliferation of new technological facilities emphasize the advancements of engineering design and mechanical testing methodologies. As a matter of fact, these modeling techniques play an effective role in the investigation of complex of diverse materials, including pantographic structures, granular materials, and bone tissues. Renewed metamaterial types inspired by materials found in nature are becoming a popular concept. Additive manufacturing, namely 3D printing, is used to fabricate the complex microstructures and reveal internal structural pattern contribution. With developed mathematical models, higher-order theories and approaches are utilized to identify extraordinary material responses. In fact, classical models and process with high computational efficiency are being replaced by systematic frameworks based on new methods and principles. Along comprehensive mechanism for target phenomena, numerical frameworks can be introduced for different structural patterns at different length scales. In this work, it is aimed to present the recent efforts based on multi-scale modeling approaches and novel continuum models in the literature for such micro-structured materials.