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Modeling micro- and macroscopic behavior of materials
The behavior of composite, nano-, and functionally- graded materials, including rock-like materials, can now be modeled with high precision. A significant feature of the newly-developed approach is
the capability to directly simulate the microstructure of materials by numerous non-overlapping inhomogeneities (fibers or particles) with interphases and pores of arbitrary size. The method allows for accurate calculation of displacement, stress, and temperature fields anywhere within the material. The overall properties of an equivalent homogeneous material can be found directly from the properties of microstructural elements using the new homogenization technique based on Maxwell’s concept of equivalent inhomogeneity. The approach can provide valuable information necessary to design composite materials with specified physical properties. Further, the approach is an effective tool to test and compare major effective-medium theories and will allow for enhanced understanding of failure mechanisms in materials. [63,64]
