S torquato dept of chem, princeton mat inst, princeton univ, princeton nj. Get your kindle here, or download a free kindle reading app. As the random heterogeneous materials, torquato has made considerable progress on 2d and 3d microstructure characterization, also on the relationship between mechanical properties and. On the statistical determination of strength of random. In the present study, a large amount of rve samples were built and their global plastic behavior was studied via limit and shakedown analyses. Random heterogeneous materials princeton university. Microstructure and mechanical properties of hyperuniform. Random heterogeneous materials microstructure and macroscopic properties.
This book also distinguishes itself in that it provides a unified rigorous framework to characterize the microstructures and macroscopic properties of the widely. Random heterogeneous materials microstructure and macroscopic. Since they are applied in a diverse context their properties h. Random heterogeneous materials are those composed of randomly distributed phases or different material domains such as composites or materials with voids. Section ii deals with actual calculations of effective properties. Torquato springerverlag, new york, 2002 updated on july 18, 2005. Advanced high strength steels ahss are of great interest for the automotive industry.
The study of random heterogeneous materials is an exciting and rapidly growing. The various domains forming the microstructure have macroscopic properties because they are larger than molecules. The study of random heterogeneous materials is an exciting and rapidly growing multidisciplinary endeavor. Microstructure and macroscopic properties as want to read. Reconstruction of microstructural and morphological. This paper shows how the lower bound direct method can be combined with statistical homogenization techniques to predict the strength of random heterogeneous materials. The following four different effective properties shall be.
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