Download or read book Material Instabilities in Elastic and Plastic Solids written by Henryk Petryk and published by Springer. This book was released on 2014-05-04 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Phase Transformations and Material Instabilities in Solids written by Morton Gurtin and published by Elsevier. This book was released on 2012-12-02 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phase Transformations and Material Instabilities in Solids contains the proceedings of an interdisciplinary conference on phase transitions and material instabilities in solids, conducted by the Mathematics Research Center of the University of Wisconsin-Madison on October 11-13, 1983 in Madison, Wisconsin. The papers explore phase transformations and material instabilities in solids and cover topics ranging from equilibrium shapes of surfaces to morphological instabilities and dendrite formation. Shock-induced phase transitions are also considered. Comprised of 11 chapters, this book begins with a discussion on material instabilities and the calculus of variations, followed by an analysis of mechanical analogs of coexistent phases. A model for the formation of shear bands in simple shear that involves the description of irreversible mechanical shear and the resulting heat release is then presented. Subsequent chapters focus on the Cauchy and Born hypotheses for crystals; the arrangement of coherent phases in a loaded body; one-dimensional shock layers in Korteweg fluids; and dynamics of first-order phase transitions. The final chapter deals with equilibrium shapes of surfaces and grain boundaries. This monograph will be of interest to students, practitioners, and researchers in mathematics and statistical physics.
Download or read book Nonlinear Solid Mechanics written by Davide Bigoni and published by Cambridge University Press. This book was released on 2012-07-30 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addresses behaviour of materials under extreme mechanical conditions and of failure in terms of non-linear continuum mechanics and instability theory.
Download or read book Patterns Defects and Materials Instabilities written by D. Walgraef and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding the origin of spatio-temporal order in open systems far from thermal equilibrium and the selection mechanisms of spatial struc tures and their symmetries is a major theme of present day research into the structures of continuous matter. The development of methods for pro ducing spatially ordered microstructures in solids by non-equilibrium methods opens the door to many technological applications. It is also be lieved that the key to laminar/turbulence transitions in fluids lies in the achievement of spatio-temporal order. Let us also emphasize the fact that the idea of self-organization in it self is at the origin of a reconceptualisation of science. Indeed, the appear ance of order which usually has been associated with equilibrium phase transitions appears to be characteristic of systems far from thermal equi librium. This phenomenon which was considered exceptional at first now the rule in driven systems. The chemical oscillations obtained appears to be in the Belousov-Zhabotinskii reaction were initially considered to be ther modynamically impossible and were rejected by a large number of chemists. Now these oscillations and related phenomena (waves, chaos, etc. ) are the subject of intensive research and new classes of chemical oscil lators have been recently discovered. Even living organisms have long been considered as the result of chance rather than necessity. Such points of view are now abandoned under the overwhelming influence of spatio-tem poral organization phenomena in various domains ranging from physics to biology via chemistry, nonlinear optics, and materials science .
Download or read book Phase Transformations and Material Instabilities in Solids written by Morton E. Gurtin and published by . This book was released on 1984 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phase Transformations and Material Instabilities in Solids ...
Download or read book Proceedings of the Third International Conference on Coupled Instabilities in Metal Structures written by Dinar Camotim and published by World Scientific. This book was released on 2000 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Nonlinear Solid Mechanics written by Adnan Ibrahimbegovic and published by Springer Science & Business Media. This book was released on 2009-04-02 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a recipe for constructing the numerical models for representing the complex nonlinear behavior of structures and their components, represented as deformable solid bodies. Its appeal extends to those interested in linear problems of mechanics.
Download or read book Coupled Instabilities In Metal Structures 2000 Cims 2000 written by Dinar Camotim and published by World Scientific. This book was released on 2000-08-21 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Fracture of Brittle Disordered Materials Concrete Rock and Ceramics written by G. Baker and published by CRC Press. This book was released on 2004-01-14 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book derives from the invited IUTAM Symposium in September 1993. The contributions discuss recent advances in fracture mechanics studies of concrete, rock, ceramics and other brittle disordered materials at micro and structural levels. It draws together research and new applications in continuum, damage and fracture mechanics approaches.
Download or read book Bifurcations Instabilities Degradation in Geomechanics written by George Exadaktylos and published by Springer Science & Business Media. This book was released on 2007-04-27 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an up-to-date review of developments in the field of bifurcations and instabilities in geomechanics from some of the world’s leading experts. Leading international researchers and practitioners of the topics debate the developments and applications which have occurred over the last few decades. Beside fundamental research findings, applications in geotechnical, petroleum, mining, and bulk materials engineering are emphasised.
Download or read book Material Instabilities in Continuum Mechanics written by John MacLeod Ball and published by Oxford University Press, USA. This book was released on 1988 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of a Symposium Year on Material instabilities in continuum mechanics organized by the Department of Mathematics, Heriot-Watt University, Edinburgh, 1985-1986.
Download or read book Friction and Instabilities written by J.A.C. Martinis and published by Springer. This book was released on 2014-05-04 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Instabilities Modeling in Geomechanics written by Ioannis Stefanou and published by John Wiley & Sons. This book was released on 2021-03-12 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Continuum Mechanics Volume 1 written by C. S. Jog and published by Cambridge University Press. This book was released on 2015-06-25 with total page 878 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuum mechanics studies the foundations of deformable body mechanics from a mathematical perspective. It also acts as a base upon which other applied areas such as solid mechanics and fluid mechanics are developed. This book discusses some important topics, which have come into prominence in the latter half of the twentieth century, such as material symmetry, frame-indifference and thermomechanics. The study begins with the necessary mathematical background in the form of an introduction to tensor analysis followed by a discussion on kinematics, which deals with purely geometrical notions such as strain and rate of deformation. Moving on to derivation of the governing equations, the book also presents applications in the areas of linear and nonlinear elasticity. In addition, the volume also provides a mathematical explanation to the axioms and laws of deformable body mechanics, and its various applications in the field of solid mechanics.
Download or read book Stability of Discrete Non conservative Systems written by Jean Lerbet and published by ISTE Press - Elsevier. This book was released on 2020-11-30 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stability of Discrete Non-conservative Systems first exposes the general concepts and results concerning stability issues. It then presents an approach of stability that is different from Lyapunov which leads to the second order work criterion. Thanks to the new concept of Kinematic Structural Stability, a complete equivalence between two approaches of stability is obtained for a divergent type of stability. Extensions to flutter instability, to continuous systems, and to the dual questions concerning the measure of non-conservativeness provides a full, fresh look at these fundamental questions. A special chapter is devoted to applications for granular systems. Presents a structured review on stability questions Provides analytical methods and key concepts that may be used in non-conservative frameworks like hypoelasticity
Download or read book Preliminary Reports Memoranda and Technical Notes of the Materials Research Council Summer Conference written by Materials Research Council. Summer Conference and published by . This book was released on 1982 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Degradations and Instabilities in Geomaterials written by Félix Darve and published by Springer. This book was released on 2014-05-04 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the most recents developments in the modelling of degradations (of thermo-chemo-mechanical origin) and of bifurcations and instabilities (leading to localized or diffuse failure modes) taking place in geomaterials (soils, rocks, concrete). Applications (landslides, rockfalls, debris flows, concrete and rock ageing, etc.) are discussed in detail.
