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Microstructural Randomness and Scaling in Mechanics of by Martin Ostoja-Starzewski PDF

By Martin Ostoja-Starzewski

a space on the intersection of stable mechanics, fabrics technological know-how, and stochastic arithmetic, mechanics of fabrics usually necessitates a stochastic method of grab the consequences of spatial randomness. utilizing this method, Microstructural Randomness and Scaling in Mechanics of fabrics explores a number of stochastic versions and techniques utilized in the mechanics of random media and illustrates those in numerous applications.

The publication first bargains a refresher in numerous instruments utilized in stochastic mechanics, through chapters that define periodic and disordered planar lattice (spring) networks. next chapters talk about rigidity invariance in classical planar and micropolar elasticity and canopy a number of themes no longer but gathered in publication shape, together with the passage of a microstructure to an efficient micropolar continuum.

After forming this starting place in quite a few tools of stochastic mechanics, the booklet specializes in difficulties of microstructural randomness and scaling. It examines either consultant and statistical quantity parts (RVEs/SVEs) in addition to micromechanically dependent stochastic finite parts (SFEs). the writer additionally stories nonlinear elastic and inelastic fabrics, the stochastic formula of thermomechanics with inner variables, and wave propagation in random media.

The options mentioned during this finished e-book should be utilized to many occasions, from micro and nanoelectromechanical structures (MEMS/NEMS) to geophysics.

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Microstructural Randomness and Scaling in Mechanics of Materials (Modern Mechanics and Mathematics) by Martin Ostoja-Starzewski

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