Structured materials may be broadly classified as comprising a single phase with an underlying topology ormultiple phases in a mixture [1]. Examples include porous materials [2–5], multilayers [6, 7], and functionally graded [7–9] and composite materials [10]. Structures can vary in size, typically from macro[2] down to meso-, micro-, and nanoscales [3, 11–13], and may also be hierarchical [12, 13]. Some structured materials comprise both topology and multiple phase mixtures at different length scales [3, 10], for example, metal matrix composite foams. In all cases, advanced structured materials are designed to have exceptional properties [7–9, 12, 13] that cannot be achieved by conventional materials, for example, very high toughness, specific stiffness, multifunction [3, 4], and so forth. The knowledge and understanding of these supermaterials rely not only on advanced characterization and processing techniques, but also on progress in theoretical analyses and computational simulations. Experimentalmeasurements are truly important in developing, characterizing, and understanding advanced materials. However, they are usually very expensive and time consuming. As the material properties and performance usually depend on the interplay of many parameters and factors, it is quite difficult to understand how each of them affects the properties and performance and which one is most important. Consequently, it is difficult to obtain the global picture about how each of the parameters and factors affects the material performance only from experimental measurements.With the advancement of computer hardware and computational software, simulations (i.e., numerical experiments) play an increasingly important role in scientific research of advanced materials and structures. Compared to real experimental measurements, computer simulations are not only faster, but also more economic. Moreover, computer simulations could help us understand in detail how each of the parameters and factors affects the properties and performance of advanced materials and hence which of these are most important. The same applies to the design of advanced materials. For example, theoretical analyses and computational simulations could guide the design of mechanical and geometrical properties of nanostructured hierarchical honeycombs and open-cell foams so that they are size dependent, tunable, and controllable [3, 12, 13]. Multilayer materials [6–9] can be designed to have extremely good thermal resistance, in addition to goodmechanical strength, stiffness, and ductility. It may also be possible to design and synthesize biological materials that have mechanical properties similar to those of natural materials [5, 10]. This special issue focuses mainly on theoretical analyses and computational simulations of advanced structuredmaterials including high-performance cements, shape memory alloys, nanostructured composites, and multilayered materials.Wehope that readerswill find in this special issue not only accurate data/results and up-to-date reviews on the relevant research areas, but also useful guidance on important areas for further research work.
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