Microstructures in Elastic Media

Microstructures in Elastic Media
Author: Nhan Phan-Thien
Publisher: Oxford University Press, USA
Total Pages: 257
Release: 1994
Genre: Language Arts & Disciplines
ISBN: 0195090861

This monograph describes various methods for solving deformation problems of particulate solids, taking the reader from analytical to computational methods. The book is the first to present the topic of linear elasticity in mathematical terms that will be familiar to anyone with a groundingin fluid mechanics. It incorporates the latest advances in computational algorithms for elliptic partial differential equations, and provides the groundwork for simulations on high performance parallel computers. Numerous exercises complement the theoretical discussions, and a related set ofself-documented programs is available to readers with Internet access. The work will be of interest to advanced students and practicing researchers in mechanical engineering, chemical engineering, applied physics, computational methods, and developers of numerical modeling software.

Microstructures in Elastic Media

Microstructures in Elastic Media
Author: Nhan Phan-Thien
Publisher: Oxford University Press
Total Pages: 257
Release: 1994-08-25
Genre: Science
ISBN: 0195358074

This monograph describes various methods for solving deformation problems of particulate solids, taking the reader from analytical to computational methods. The book is the first to present the topic of linear elasticity in mathematical terms that will be familiar to anyone with a grounding in fluid mechanics. It incorporates the latest advances in computational algorithms for elliptic partial differential equations, and provides the groundwork for simulations on high performance parallel computers. Numerous exercises complement the theoretical discussions, and a related set of self-documented programs is available to readers with Internet access. The work will be of interest to advanced students and practicing researchers in mechanical engineering, chemical engineering, applied physics, computational methods, and developers of numerical modeling software.

Random Heterogeneous Materials

Random Heterogeneous Materials
Author: Salvatore Torquato
Publisher: Springer Science & Business Media
Total Pages: 720
Release: 2013-04-17
Genre: Mathematics
ISBN: 1475763557

This accessible text presents a unified approach of treating the microstructure and effective properties of heterogeneous media. Part I deals with the quantitative characterization of the microstructure of heterogeneous via theoretical methods; Part II treats a wide variety of effective properties of heterogeneous materials and how they are linked to the microstructure, accomplished by using rigorous methods.

Stochastic Modeling of Microstructures

Stochastic Modeling of Microstructures
Author: Kazimierz Sobczyk
Publisher: Springer Science & Business Media
Total Pages: 275
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461201217

This book is for a general scientific and engineering audience as a guide to current ideas, methods, and models for stochastic modeling of microstructures. It is a reference for professionals in material modeling, mechanical engineering, materials science, chemical, civil, environmental engineering and applied mathematics.

Microstructural Randomness and Scaling in Mechanics of Materials

Microstructural Randomness and Scaling in Mechanics of Materials
Author: Martin Ostoja-Starzewski
Publisher: CRC Press
Total Pages: 500
Release: 2007-08-13
Genre: Mathematics
ISBN: 1420010271

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

Views on Microstructures in Granular Materials

Views on Microstructures in Granular Materials
Author: Pasquale Giovine
Publisher: Springer Nature
Total Pages: 288
Release: 2020-11-09
Genre: Mathematics
ISBN: 3030492672

This contributed volume provides an up-to-date overview of the mechanics of granular materials, ranging from sparse media to soils. With chapters exploring state-of-the-art theoretical, experimental, and applied trends in the study of granular matter in various states, readers will be motivated to learn about the current challenges and potential avenues of exploration in this active area of research. Including a variety of perspectives, this volume will be a valuable reference for audiences in a number of fields. Specific topics covered include: X-ray tomography techniques for analyzing sand Evaluation of effective stress in unsaturated soils Hyper-plasticity Wave propagation in granular systems Partly saturated porous media Multi-scale approaches to the dynamics of sparse media Views on Microstructures in Granular Materials is an ideal resource for PhD students and researchers in applied mathematics, solid-state physics, civil engineering, and mechanical engineering.

Crystals, Defects and Microstructures

Crystals, Defects and Microstructures
Author: Rob Phillips
Publisher: Cambridge University Press
Total Pages: 807
Release: 2001-02-22
Genre: Mathematics
ISBN: 0521790050

Examines the advances made in the field in recent years and looks at the various methods now used; ideal for graduate students and researchers.

Micromechanics of Defects in Solids

Micromechanics of Defects in Solids
Author: T. Mura
Publisher: Springer Science & Business Media
Total Pages: 601
Release: 2012-12-06
Genre: Science
ISBN: 9400934890

This book stems from a course on Micromechanics that I started about fifteen years ago at Northwestern University. At that time, micromechanics was a rather unfamiliar subject. Although I repeated the course every year, I was never convinced that my notes have quite developed into a final manuscript because new topics emerged constantly requiring revisions, and additions. I finally came to realize that if this is continued, then I will never complete the book to my total satisfaction. Meanwhile, T. Mori and I had coauthored a book in Japanese, entitled Micromechanics, published by Baifu-kan, Tokyo, in 1975. It received an extremely favorable response from students and re searchers in Japan. This encouraged me to go ahead and publish my course notes in their latest version, as this book, which contains further development of the subject and is more comprehensive than the one published in Japanese. Micromechanics encompasses mechanics related to microstructures of materials. The method employed is a continuum theory of elasticity yet its applications cover a broad area relating to the mechanical behavior of materi als: plasticity, fracture and fatigue, constitutive equations, composite materi als, polycrystals, etc. These subjects are treated in this book by means of a powerful and unified method which is called the 'eigenstrain method. ' In particular, problems relating to inclusions and dislocations are most effectively analyzed by this method, and therefore, special emphasis is placed on these topics.

Microstructural Geochronology

Microstructural Geochronology
Author: Desmond E. Moser
Publisher: John Wiley & Sons
Total Pages: 347
Release: 2017-12-26
Genre: Science
ISBN: 1119227240

Microstructural Geochronology Geochronology techniques enable the study of geological evolution and environmental change over time. This volume integrates two aspects of geochronology: one based on classical methods of orientation and spatial patterns, and the other on ratios of radioactive isotopes and their decay products. The chapters illustrate how material science techniques are taking this field to the atomic scale, enabling us to image the chemical and structural record of mineral lattice growth and deformation, and sometimes the patterns of radioactive parent and daughter atoms themselves, to generate a microstructural geochronology from some of the most resilient materials in the solar system. First compilation of research focusing on the crystal structure, material properties, and chemical zoning of the geochronology mineral archive down to nanoscale Novel comparisons of mineral time archives from different rocky planets and asteroids and their shock metamorphic histories Fundamentals on how to reconstruct and date radiogenic isotope distributions using atom probe tomography Microstructural Geochronology will be a valuable resource for graduate students, academics, and researchers in the fields of petrology, geochronology, mineralogy, geochemistry, planetary geology, astrobiology, chemistry, and material science. It will also appeal to philosophers and historians of science from other disciplines.