Contemporary Research in the Mechanics and Mathematics of Materials

Contemporary Research in the Mechanics and Mathematics of Materials PDF Author: R. C. Batra
Publisher:
ISBN: 9788487867743
Category : Elasticity
Languages : en
Pages : 500

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Book Description

Contemporary Research in the Mechanics and Mathematics of Materials

Contemporary Research in the Mechanics and Mathematics of Materials PDF Author: R. C. Batra
Publisher:
ISBN: 9788487867743
Category : Elasticity
Languages : en
Pages : 500

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Book Description


Mathematics and Mechanics of Granular Materials

Mathematics and Mechanics of Granular Materials PDF Author: James M. Hill
Publisher: Springer Science & Business Media
ISBN: 1402041837
Category : Science
Languages : en
Pages : 320

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Book Description
Granular or particulate materials arise in almost every aspect of our lives, including many familiar materials such as tea, coffee, sugar, sand, cement and powders. At some stage almost every industrial process involves a particulate material, and it is usually the cause of the disruption to the smooth running of the process. In the natural environment, understanding the behaviour of particulate materials is vital in many geophysical processes such as earthquakes, landslides and avalanches. This book is a collection of current research from some of the major contributors in the topic of modelling the behaviour of granular materials. Papers from every area of current activity are included, such as theoretical, numerical, engineering and computational approaches. This book illustrates the numerous diverse approaches to one of the outstanding problems of modern continuum mechanics.

Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems

Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems PDF Author: Kerstin Weinberg
Publisher: Springer
ISBN: 3319390228
Category : Science
Languages : en
Pages : 310

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Book Description
This book provides readers with a detailed insight into diverse and exciting recent developments in computational solid mechanics, documenting new perspectives and horizons. The topics addressed cover a wide range of current research, from computational materials modeling, including crystal plasticity, micro-structured materials, and biomaterials, to multi-scale simulations of multi-physics phenomena. Particular emphasis is placed on pioneering discretization methods for the solution of coupled non-linear problems at different length scales. The book, written by leading experts, reflects the remarkable advances that have been made in the field over the past decade and more, largely due to the development of a sound mathematical background and efficient computational strategies. The contents build upon the 2014 IUTAM symposium celebrating the 60th birthday of Professor Michael Ortiz, to whom this book is dedicated. His work has long been recognized as pioneering and is a continuing source of inspiration for many researchers. It is hoped that by providing a "taste" of the field of computational mechanics, the book will promote its popularity among the mechanics and physics communities.

Advances in Mechanics and Mathematics

Advances in Mechanics and Mathematics PDF Author: David Yang Gao
Publisher: Springer Science & Business Media
ISBN: 1461302471
Category : Science
Languages : en
Pages : 329

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Book Description
As any human activity needs goals, mathematical research needs problems -David Hilbert Mechanics is the paradise of mathematical sciences -Leonardo da Vinci Mechanics and mathematics have been complementary partners since Newton's time and the history of science shows much evidence of the ben eficial influence of these disciplines on each other. Driven by increasingly elaborate modern technological applications the symbiotic relationship between mathematics and mechanics is continually growing. However, the increasingly large number of specialist journals has generated a du ality gap between the two partners, and this gap is growing wider. Advances in Mechanics and Mathematics (AMMA) is intended to bridge the gap by providing multi-disciplinary publications which fall into the two following complementary categories: 1. An annual book dedicated to the latest developments in mechanics and mathematics; 2. Monographs, advanced textbooks, handbooks, edited vol umes and selected conference proceedings. The AMMA annual book publishes invited and contributed compre hensive reviews, research and survey articles within the broad area of modern mechanics and applied mathematics. Mechanics is understood here in the most general sense of the word, and is taken to embrace relevant physical and biological phenomena involving electromagnetic, thermal and quantum effects and biomechanics, as well as general dy namical systems. Especially encouraged are articles on mathematical and computational models and methods based on mechanics and their interactions with other fields. All contributions will be reviewed so as to guarantee the highest possible scientific standards.

Trends in Applications of Mathematics to Mechanics

Trends in Applications of Mathematics to Mechanics PDF Author: Jose Francisco Rodrigues
Publisher: CRC Press
ISBN: 9780582248748
Category : Mathematics
Languages : en
Pages : 384

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Book Description
With the purpose of promoting cooperative research involving the fields of mechanics and pure mathematics, the International Society for the Interaction of Mechanics and Mathematics (ISIMM) sponsors a series of Symposia. The ninth in this series (STAMM 94) took place in July 1994 at the University of Lisbon and emphasized the current trends in nonlinear mechanics, phase change problems (in cooperation with the European Science Foundation Scientific Programme on Mathematical Treatment of Free Boundary Problems), non Newtonian fluids, optimization in solid mechanics and numerical methods in continuum mechanics. This book collects a refereed selection of original contributions presented at STAMM 94, covering a large spectrum of current research in the above topics, from nonlinear elasticity to nonlinear fluids, from phase transitions to diffusion phenomena, and from structural optimization and homogenization to numerical schemes.

Defect and Material Mechanics

Defect and Material Mechanics PDF Author: C. Dascalu
Publisher: Springer Science & Business Media
ISBN: 1402069294
Category : Technology & Engineering
Languages : en
Pages : 287

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Book Description
This volume presents recent developments in the theory of defects and the mechanics of material forces. Most of the contributions were presented at the International Symposium on Defect and Material Forces (ISDMM2007), held in Aussois, France, March 2007.

Frontiers And Prospects Of Contemporary Applied Mathematics

Frontiers And Prospects Of Contemporary Applied Mathematics PDF Author: Pingwen Zhang
Publisher: World Scientific
ISBN: 9814478512
Category : Mathematics
Languages : en
Pages : 276

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Book Description
This collection of articles covers the hottest topics in contemporary applied mathematics. Multiscale modeling, material computing, symplectic methods, parallel computing, mathematical biology, applied differential equations and engineering computing problems are all included. The book contains the latest results of many leading scientists and provides a window on new trends in research in the field.

Mechanics of Material Forces

Mechanics of Material Forces PDF Author: Paul Steinmann
Publisher: Springer Science & Business Media
ISBN: 038726261X
Category : Technology & Engineering
Languages : en
Pages : 331

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Book Description
The notion dealt with in this volume of proceedings is often traced back to the late 19th-century writings of a rather obscure scientist, C. V. Burton. A probable reason for this is that the painstaking de ciphering of this author's paper in the Philosophical Magazine (Vol. 33, pp. 191-204, 1891) seems to reveal a notion that was introduced in math ematical form much later, that of local structural rearrangement. This notion obviously takes place on the material manifold of modern con tinuum mechanics. It is more or less clear that seemingly different phe nomena - phase transition, local destruction of matter in the form of the loss of local ordering (such as in the appearance of structural defects or of the loss of cohesion by the appearance of damage or the exten sion of cracks), plasticity, material growth in the bulk or at the surface by accretion, wear, and the production of debris - should enter a com mon framework where, by pure logic, the material manifold has to play a prominent role. Finding the mathematical formulation for this was one of the great achievements of J. D. Eshelby. He was led to consider the apparent but true motion or displacement of embedded material inhomogeneities, and thus he began to investigate the "driving force" causing this motion or displacement, something any good mechanician would naturally introduce through the duahty inherent in mechanics since J. L. d'Alembert.

Advances In Mechanics Of Solids: In Memory Of Prof E M Haseganu

Advances In Mechanics Of Solids: In Memory Of Prof E M Haseganu PDF Author: Ardeshir Guran
Publisher: World Scientific
ISBN: 9814477559
Category : Technology & Engineering
Languages : en
Pages : 298

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Book Description
The contributions in this volume are written by well-known specialists in the fields of mechanics, materials modeling and analysis. They comprehensively address the core issues and present the latest developments in these and related areas. In particular, the book demonstrates the breadth of current research activity in continuum mechanics. A variety of theoretical, computational, and experimental approaches are reported, covering finite elasticity, vibration and stability, and mechanical modeling. The coverage reflects the extent and impact of the research pursued by Professor Haseganu and her international colleagues.

Continuum Mechanics and Theory of Materials

Continuum Mechanics and Theory of Materials PDF Author: Peter Haupt
Publisher: Springer Science & Business Media
ISBN: 3662047756
Category : Technology & Engineering
Languages : en
Pages : 666

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Book Description
The new edition includes additional analytical methods in the classical theory of viscoelasticity. This leads to a new theory of finite linear viscoelasticity of incompressible isotropic materials. Anisotropic viscoplasticity is completely reformulated and extended to a general constitutive theory that covers crystal plasticity as a special case.