Mechanics of Random and Multiscale Microstructures
Mechanics of Random and Multiscale Microstructures

Author: Dominique Jeulin

Publisher: Springer

Published: 2014-05-04

Total Pages: 270

ISBN-13: 3709127807

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This book reviews recent theoretical, computational and experimental developments in mechanics of random and multiscale solid materials. The aim is to provide tools for better understanding and prediction of the effects of stochastic (non-periodic) microstructures on materials’ mesoscopic and macroscopic properties. Particular topics involve a review of experimental techniques for the microstructure description, a survey of key methods of probability theory applied to the description and representation of microstructures by random modes, static and dynamic elasticity and non-linear problems in random media via variational principles, stochastic wave propagation, Monte Carlo simulation of random continuous and discrete media, fracture statistics models, and computational micromechanics.

Microstructural Randomness and Scaling in Mechanics of Materials
Microstructural Randomness and Scaling in Mechanics of Materials

Author: Martin Ostoja-Starzewski

Publisher: CRC Press

Published: 2007-08-13

Total Pages: 500

ISBN-13: 1420010271

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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

Mechanical Engineering in Uncertainties From Classical Approaches to Some Recent Developments
Mechanical Engineering in Uncertainties From Classical Approaches to Some Recent Developments

Author:

Publisher: John Wiley & Sons

Published: 2021-03-05

Total Pages: 352

ISBN-13: 1119817625

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Considering the uncertainties in mechanical engineering in order to improve the performance of future products or systems is becoming a competitive advantage, sometimes even a necessity, when seeking to guarantee an increasingly high safety requirement. Mechanical Engineering in Uncertainties deals with modeling, quantification and propagation of uncertainties. It also examines how to take into account uncertainties through reliability analyses and optimization under uncertainty. The spectrum of the methods presented ranges from classical approaches to more recent developments and advanced methods. The methodologies are illustrated by concrete examples in various fields of mechanics (civil engineering, mechanical engineering and fluid mechanics). This book is intended for both (young) researchers and engineers interested in the treatment of uncertainties in mechanical engineering.

Finite Element Methods for Structures with Large Stochastic Variations
Finite Element Methods for Structures with Large Stochastic Variations

Author: Isaac Elishakoff

Publisher: Oxford University Press, USA

Published: 2003

Total Pages: 282

ISBN-13: 9780198526315

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The finite element method (FEM) can be successfully applied to various field problems in solid mechanics, fluid mechanics and electrical engineering. This text discusses finite element methods for structures with large stochastic variations.

Morphological Models of Random Structures
Morphological Models of Random Structures

Author: Dominique Jeulin

Publisher: Springer Nature

Published: 2021-06-01

Total Pages: 919

ISBN-13: 3030754529

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This book covers methods of Mathematical Morphology to model and simulate random sets and functions (scalar and multivariate). The introduced models concern many physical situations in heterogeneous media, where a probabilistic approach is required, like fracture statistics of materials, scaling up of permeability in porous media, electron microscopy images (including multispectral images), rough surfaces, multi-component composites, biological tissues, textures for image coding and synthesis. The common feature of these random structures is their domain of definition in n dimensions, requiring more general models than standard Stochastic Processes.The main topics of the book cover an introduction to the theory of random sets, random space tessellations, Boolean random sets and functions, space-time random sets and functions (Dead Leaves, Sequential Alternate models, Reaction-Diffusion), prediction of effective properties of random media, and probabilistic fracture theories.

Progress in Industrial Mathematics at ECMI 2010
Progress in Industrial Mathematics at ECMI 2010

Author: Michael Günther

Publisher: Springer Science & Business Media

Published: 2012-04-05

Total Pages: 613

ISBN-13: 3642251005

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ECMI, the European Consortium for Mathematics in Industry, is the European brand associated with applied mathematics for industry and organizes highly successful biannual conferences. In this series, the ECMI 2010, the 16th European Conference on Mathematics for Industry, was held in the historic city hall of Wuppertal in Germany. It covered the mathematics of a wide range of applications and methods, from circuit and electromagnetic device simulation to model order reduction for chip design, uncertainties and stochastics, production, fluids, life and environmental sciences, and dedicated and versatile methods. These proceedings of ECMI 2010 emphasize mathematics as an innovation enabler for industry and business, and as an absolutely essential pre-requiste for Europe on its way to becoming the leading knowledge-based economy in the world.

Stochastic Geometry, Spatial Statistics and Random Fields
Stochastic Geometry, Spatial Statistics and Random Fields

Author: Volker Schmidt

Publisher: Springer

Published: 2014-10-24

Total Pages: 484

ISBN-13: 3319100645

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This volume is an attempt to provide a graduate level introduction to various aspects of stochastic geometry, spatial statistics and random fields, with special emphasis placed on fundamental classes of models and algorithms as well as on their applications, e.g. in materials science, biology and genetics. This book has a strong focus on simulations and includes extensive codes in Matlab and R which are widely used in the mathematical community. It can be seen as a continuation of the recent volume 2068 of Lecture Notes in Mathematics, where other issues of stochastic geometry, spatial statistics and random fields were considered with a focus on asymptotic methods.

Mechanical Properties and Performance of Engineering Ceramics and Composites V
Mechanical Properties and Performance of Engineering Ceramics and Composites V

Author: Dileep Singh

Publisher: John Wiley & Sons

Published: 2010-11-23

Total Pages: 386

ISBN-13: 0470944110

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This volume is a compilation of papers presented in the Mechanical Behavior and Performance of Ceramics & Composites symposium during the 34th International Conference & Exposition on Advanced Ceramics and Composites (ICACC) held January 24-29, 2010, in Daytona Beach, Florida. The Mechanical Behavior and Performance of Ceramics & Composites symposium was one of the largest symposia in terms of the number (>100) of presentations at the ICACC’10. This symposium covered wide ranging and cutting-edge topics on mechanical properties and reliability of ceramics and composites and their correlations to processing, microstructure, and environmental effects. Symposium topics included: • Ceramics and composites for engine applications • Design and life prediction methodologies • Environmental effects on mechanical properties • Mechanical behavior of porous ceramics • Ultra high temperature ceramics • Ternary compounds • Mechanics & characterization of nanomaterials and devices • Novel test methods and equipment • Processing - microstructure - mechanical properties correlations • Ceramics & composites joining and testing • NDE of ceramic components

Digital Materials
Digital Materials

Author: Marc Bernacki

Publisher: John Wiley & Sons

Published: 2024-12-12

Total Pages: 324

ISBN-13: 1789451973

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Digital materials are integral to the modern design methods for industrial components and structures, allowing mechanical properties to be predicted from a description of the microstructure and behavior laws of the constituent parts. This book examines a wide range of material properties, from transport phenomena to the mechanics of materials and microstructure changes in physical metallurgy. The fundamental mechanisms of deformation, annealing and damage to materials involve complex atomic processes; these have been explored and studied by numerical simulations, such as molecular dynamics. In contrast to this minutely detailed approach, Digital Materials explores how these mechanisms can instead be integrated into an approach that considers the continuum of the physics and mechanics of materials at the mesoscopic scale. The book thus focuses on the mechanics of continuous media and the continuum thermodynamics of irreversible processes. The models displayed take the myriad properties of different materials into account, in particular their polycrystalline and/or composite natures; this becomes an intermediate step toward establishing effective laws for engineers in the processes of structure calculation and manufacturing.

IUTAM Symposium on Scaling Laws in Ice Mechanics and Ice Dynamics
IUTAM Symposium on Scaling Laws in Ice Mechanics and Ice Dynamics

Author: J.P. Dempsey

Publisher: Springer Science & Business Media

Published: 2001-12-31

Total Pages: 492

ISBN-13: 9781402001710

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This Volume constitutes the Proceedings of the IUTAM Symposium on 'Scaling Laws in Ice Mechanics and Ice Dynamics', held in Fairbanks, Alaska from 13th to 16th of June 2000. Ice mechanics deals with essentially intact ice: in this discipline, descriptions of the motion and deformation of Arctic/ Antarctic and river/lake ice call for the development of physically based constitutive and fracture models over an enormous range in scale: 0.01 m - 10 km. Ice dynamics, on the other hand, deals with the movement of broken ice: descriptions of an aggregate of ice floes call for accurate modeling of momentum transfer through the sea/ice system, again over an enormous range in scale: 1 km (floe scale) - 500 km (basin scale). For ice mechanics, the emphasis on lab-scale (0.01 - 0.5 m) research con trasts with applications at the scale of order 1 km (ice-structure interaction, icebreaking); many important upscaling questions remain to be explored.