An area at the intersection of solid mechanics, materials science, and stochastic mathematics, mechanics of materials often necessitates a stochastic approach to grasp the effects of spatial randomness. Using this approach, Microstructural Randomness and Scaling in Mechanics of Materials explores numerous stochastic models and methods used in the m

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.