Science/Engineering Microstructural Randomness and Scaling in Mechanics of Materials (Modern Mechanics and Mathematics) (1584884177)

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

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 mechanics of random media and illustrates these in a variety of applications. The book first offers a refresher in several tools used in stochastic mechanics, followed by two chapters that outline periodic and disordered planar lattice (spring) networks. Subsequent chapters discuss stress invariance in classical planar and micropolar elasticity and cover several topics not yet collected in book form, including the passage of a microstructure to an effective micropolar continuum. After forming this foundation in various methods of stochastic mechanics, the book focuses on problems of microstructural randomness and scaling. It examines both representative and statistical volume elements (RVEs/SVEs) as well as micromechanically based stochastic finite elements (SFEs). The author also studies nonlinear elastic and inelastic materials, the stochastic formulation of thermomechanics with internal variables, and wave propagation in random media. The concepts discussed in this comprehensive book can be applied to many situations, from micro and nanoelectromechanical systems (MEMS/NEMS) to geophysics.

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	Programming Computational Mechanics of Composite Materials: Sensitivity, Randomness and Multiscale Behaviour Computational Mechanics of Composite Materials: Sensitivity, Randomness and Multiscale Behaviour (Engineering Materials and Processes): M.M. Kaminski Springer \| ISBN: 1852334274 \| 2004-12-17 \| PDF (OCR) \| 418 pages \| 6.85 Mb Composite mate ...
	Science/Engineering Mechanics of Elastic Composites (Modern Mathematics and Mechanics) Mechanics of Elastic Composites (Modern Mathematics and Mechanics)Chapman & Hall \| September 15, 2003 \| ISBN-10: 1584884428 \| 682 pages \| 6.3 mbComposite materials play a fundamental role in many modern engineering applications and have ...
	Technical Computational Mechanics of Composite Materials: Sensitivity, Randomness and Multiscale Behaviour (Engineering Materials and Processes) ISBN: 1852334274 Publisher: Springer Author: Marcin Marek KaminskiDescription:Composite materials play a vital role in modern engineering, from aerospace to nuclear devices. Computational mechanics endeavors to provide precise numerical mod ...
	Science/Engineering Mechanics of Materials: A Modern Integration of Mechanics and Materials in Structural Design Mechanics of Materials: A Modern Integration of Mechanics and Materials in Structural DesignChristopher Jenkins / Sanjeev Khanna, Mechanics of Materials: A Modern Integration of Mechanics and Materials in Structural DesignAcademic Press \| I ...
	Mathematics Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics (Theoretical and Mathematical Physics) Errico Presutti, "Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics (Theoretical and Mathematical Physics)"Springer; 1 edition (November 21, 2008) \| English \| 3540733043 \| 470 pages \| PDF \| 4.88 MBCollective ...

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