Abstract
Recent advancement of material and computer sciences enables one to analyze behavior of members and structures made of composite materials with superior properties, using a large numerical computation. The developed computational mechanics is being applied to highly heterogeneous and inelastic geomaterials to predict behavior of foundations or underground structures. It is essential in such computation to implement the constitutive relations of the material which exhibits anisotropy, inelasticity, nonlinearity or path-dependence. Micromechanical analysis is effective in predicting the constitutive relations since such responses are often due to irreversible deformation, failure or evolution of microconstituents. To reduce the required computational efforts, the analysis ought to lead to a closed-form expression of the constitutive relations.
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Hori, M. (1995). Analytical Estimate of Interaction among Ellipsoidal Inclusions: Upper and Lower Bounds for Strain Energy Due to Interaction. In: Pyrz, R. (eds) IUTAM Symposium on Microstructure-Property Interactions in Composite Materials. Solid Mechanics and Its Applications, vol 37. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0059-5_12
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DOI: https://doi.org/10.1007/978-94-011-0059-5_12
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