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Microstructural Randomness and Scaling in Mechanics of Materials
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Preface. Basic Random Media Models. Random Processes and Fields. Planar Lattice Models: Periodic Topologies and Elastostatics. Lattice Models: Rigidity, Randomness, Dynamics, and Optimality. Two- versus Three-Dimensional Classical Elasticity. Two- versus Three-Dimensional Micropolar Elasticity. Mesoscale Bounds for Linear Elastic Microstructures. Random Field Models and Stochastic Finite Elements. Hierarchies of Mesoscale Bounds for Nonlinear and Inelastic Microstructures. Mesoscale Response in Thermomechanics of Random Media. Waves and Wavefronts in Random Media. Bibliography. Index.

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University of Illinois, Urbana, USA

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