Material Instabilities In Elastic And Plastic Solids
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Author | : Henryk Petryk |
Publisher | : Springer |
Total Pages | : 390 |
Release | : 2014-05-04 |
Genre | : Technology & Engineering |
ISBN | : 3709125626 |
This book collects recent theoretical developments in the area of material instability in elastic and plastic solids along with related analytical and numerical methods and applications. The existing different approaches to instability phenomena in metal single crystals, polycristals and in geomaterials are presented with the emphasis laid on mutual relations and on unifying concepts, including elliptictly loss and the energy criterion. Quasi-static bifurcation, initiation of single or multiple shear bands and post-critical strain localization are examined along with dynamic phenomena as wave propagation, moving shocks, internal snap-through and instability of flutter type. This gives an overview of a variety of material instability problems, methods and applications.
Author | : H. G. Hopkins |
Publisher | : Elsevier |
Total Pages | : 720 |
Release | : 2016-05-24 |
Genre | : Technology & Engineering |
ISBN | : 1483299325 |
An important collection of review papers by internationally recognized experts on the broad area of the mechanics of solids.
Author | : Allan F. Bower |
Publisher | : CRC Press |
Total Pages | : 820 |
Release | : 2009-10-05 |
Genre | : Science |
ISBN | : 1439802483 |
Modern computer simulations make stress analysis easy. As they continue to replace classical mathematical methods of analysis, these software programs require users to have a solid understanding of the fundamental principles on which they are based.Develop Intuitive Ability to Identify and Avoid Physically Meaningless PredictionsApplied Mechanics o
Author | : A.S. Argon |
Publisher | : Springer Science & Business Media |
Total Pages | : 354 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 1461229340 |
Fracture in structural materials remains a vital consideration in engineering systems, affecting the reliability of machines throughout their lives. Impressive advances in both the theoretical understanding of fracture mechanisms and practical developments that offer possibilities of control have re-shaped the subject over the past four decades. The contributors to this volume, including some of the most prominent researchers in the field, give their long-range perspectives of the research on the fracture of solids and its achievements. The subjects covered in this volume include: statistics of brittle fracture, transition of fracture from brittle to ductile, mechanics and mechanisms of ductile separation of heterogenous solids, the crack tip environment in ductile fracture, and mechanisms and mechanics of fatigue. Materials considered range from the usual structural solids to composites. The chapters include both theoretical points of view and discussions of key experiments. Contributors include: from MIT, A.S. Argon, D.M. Parks; from Cambridge, M.F. Ashby; from U.C. Santa Barbara, A.G. Evans, R. McMeeking; from Glasgow, J. Hancock; from Harvard, J.W. Hutchinson, J.R. Rice; from Sheffield, K.J. Miller; from Brown, A. Needleman; from the Ecole des Mines, A. Pineau; from U.C. Berkeley, R. O. Ritchie; and from Copenhagen, V. Tvergaard.
Author | : Ioannis Stefanou |
Publisher | : John Wiley & Sons |
Total Pages | : 368 |
Release | : 2021-03-24 |
Genre | : Technology & Engineering |
ISBN | : 1119755190 |
Instabilities Modeling in Geomechanics describes complex mechanisms which are frequently met in earthquake nucleation, geothermal energy production, nuclear waste disposal and CO2 sequestration. These mechanisms involve systems of non-linear differential equations that express the evolution of the geosystem (e.g. strain localization, temperature runaway, pore pressure build-up, etc.) at different length and time scales. In order to study the evolution of a system and possible instabilities, it is essential to know the mathematical properties of the governing equations. Therefore, questions of the existence, uniqueness and stability of solutions naturally arise. This book particularly explores bifurcation theory and stability analysis, which are robust and rigorous mathematical tools that allow us to study the behavior of complex geosystems, without even explicitly solving the governing equations. The contents are organized into 10 chapters which illustrate the application of these methods in various fields of geomechanics.
Author | : Dinar Camotim |
Publisher | : World Scientific |
Total Pages | : 752 |
Release | : 2000-08-21 |
Genre | : Technology & Engineering |
ISBN | : 1783261552 |
The subject of coupled instabilities is a fascinating field of research with a wide range of practical applications, particularly in the analysis and design of metal structures. Despite the excellent body of existing results concerning coupled instability structural behaviour, this situation has not yet been adequately translated into design rules or specifications. In fact, only to a small extent do modern design codes for metal structures take advantage of the significant progress made in the field.This book, which contains all the invited general reports and selected papers presented at the Third International Conference on “Coupled Instabilities in Metal Structures” (CIMS '2000), should provide a meaningful contribution towards filling the gap between research and practice.
Author | : J.A.C. Martinis |
Publisher | : Springer Science & Business Media |
Total Pages | : 304 |
Release | : 2002-11-11 |
Genre | : Science |
ISBN | : 9783211836958 |
The book addresses instability and bifurcation phenomena in frictional contact problems. The treatment of this subject has its roots in previous studies of instability and bifurcation in elastic, thermoelastic or elastic-plastic bodies, and in previous mathematical, mechanical and computational studies of unilateral problems. The salient feature of this book is to put together and develop concepts and tools for stability and bifurcation studies in mechanics, taking into account the inherent non-smoothness and non-associativity (non-symmetry) of unilateral frictional contact laws. The mechanical foundations, the mathematical theory and the computational algorithms for such studies are developed along six chapters written by the lecturers of a CISM course. Those concepts and tools are illustrated not only with enlightening academic examples but also with some demanding industrial applications, related, namely, to the automotive industry.
Author | : Q.S. Nguyen |
Publisher | : Springer |
Total Pages | : 296 |
Release | : 2014-05-04 |
Genre | : Science |
ISBN | : 3709127122 |
The first theme concerns the plastic buckling of structures in the spirit of Hill’s classical approach. Non-bifurcation and stability criteria are introduced and post-bifurcation analysis performed by asymptotic development method in relation with Hutchinson’s work. Some recent results on the generalized standard model are given and their connection to Hill’s general formulation is presented. Instability phenomena of inelastic flow processes such as strain localization and necking are discussed. The second theme concerns stability and bifurcation problems in internally damaged or cracked colids. In brittle fracture or brittle damage, the evolution law of crack lengths or damage parameters is time-independent like in plasticity and leads to a similar mathematical description of the quasi-static evolution. Stability and non-bifurcation criteria in the sense of Hill can be again obtained from the discussion of the rate response.
Author | : Rodney Hill |
Publisher | : Oxford University Press |
Total Pages | : 370 |
Release | : 1998 |
Genre | : Mathematics |
ISBN | : 9780198503675 |
First published in 1950, this important and classic book presents a mathematical theory of plastic materials, written by one of the leading exponents.
Author | : Richard Wan |
Publisher | : Springer Science & Business Media |
Total Pages | : 366 |
Release | : 2011-03-16 |
Genre | : Science |
ISBN | : 3642182844 |
Geomaterials exhibit complex but rich mechanical behaviour with a variety of failure modes ranging from diffuse to localized deformation depending on stress, density, microstructure, and loading conditions. These failure modes are a result of an instability of material and/or geometric nature that can be studied within the framework of bifurcation theory. Degradation is another related phenomenon arising from cyclic loading, ageing, weathering, chemical attack, and capillary effects, among others. The methodology of analyzing the various types of instabilities is crucial in the adequate modelling and safe design of numerous problems in geomechanics. The present volume contains a sampling of enlarged versions of papers presented at the International Workshop on Bifurcation and Degradations in Geomaterials (IWBDG 2008) held in Lake Louise, Alberta, Canada, May 28-31, 2008. These papers capture the state-of-the-art in the specialized field of geomechanics and contemporary approaches to solving the central issue of failure. Some engineering applications are presented in the areas of energy resource extraction and soil-machine interaction.