Описание: This thesis transports you to a wonderful and fascinating small-scale world and tells you the origin of several new phenomena. The investigative tool is the improved discrete dislocation-based multi-scale approaches, bridging the continuum modeling and atomistic simulation. Mechanism-based theoretical models are put forward to conveniently predict the mechanical responses and defect evolution. The findings presented in this thesis yield valuable new guidelines for microdevice design, reliability analysis and defect tuning.
Описание: This book presents the latest state of simulation techniques to model plasticity and fracture in crystalline materials on the nano- and microscale. It covers discrete dislocation mechanics and the neighboring fields molecular dynamics and crystal plasticity.
Автор: Taira Suzuki; Shin Takeuchi; Hideo Yoshinaga Название: Dislocation Dynamics and Plasticity ISBN: 3642757766 ISBN-13(EAN): 9783642757761 Издательство: Springer Рейтинг: Цена: 9141.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Studies of dislocations in ionic and covalent bonding materials with large Peierls forces provided infonnation about the core structures of dislocations and their electronic interactions with charged particles.
Автор: Weimin Han; B. Daya Reddy Название: Plasticity ISBN: 1489995943 ISBN-13(EAN): 9781489995940 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In its revised and expanded second edition, this book examines the theoretical aspects of small strain theory of elastoplasticity with hardening assumptions, offering a comprehensive and unified treatment of mathematical theory and numerical analysis.
Автор: Han Название: Plasticity ISBN: 1461459397 ISBN-13(EAN): 9781461459392 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In its revised and expanded second edition, this book examines the theoretical aspects of small strain theory of elastoplasticity with hardening assumptions, offering a comprehensive and unified treatment of mathematical theory and numerical analysis.
Автор: Zhuang, Zhuo Название: Dislocation Mechanism-Based Crystal Plasticity ISBN: 0128145919 ISBN-13(EAN): 9780128145913 Издательство: Elsevier Science Рейтинг: Цена: 25770.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Dislocation Based Crystal Plasticity: Theory and Computation at Micron and Submicron Scale provides a comprehensive introduction to the continuum and discreteness dislocation mechanism-based theories and computational methods of crystal plasticity at the micron and submicron scale. Sections cover the fundamental concept of conventional crystal plasticity theory at the macro-scale without size effect, strain gradient crystal plasticity theory based on Taylar law dislocation, mechanism at the mesoscale, phase-field theory of crystal plasticity, computation at the submicron scale, including single crystal plasticity theory, and the discrete-continuous model of crystal plasticity with three-dimensional discrete dislocation dynamics coupling finite element method (DDD-FEM).
Three kinds of plastic deformation mechanisms for submicron pillars are systematically presented. Further sections discuss dislocation nucleation and starvation at high strain rate and temperature effect for dislocation annihilation mechanism.
Covers dislocation mechanism-based crystal plasticity theory and computation at the micron and submicron scale
Presents crystal plasticity theory without size effect
Deals with the 3D discrete-continuous (3D DCM) theoretic and computational model of crystal plasticity with 3D discrete dislocation dynamics (3D DDD) coupling finite element method (FEM)
Includes discrete dislocation mechanism-based theory and computation at the submicron scale with single arm source, coating micropillar, lower cyclic loading pillars, and dislocation starvation at the submicron scale
Описание: This book provides an introduction to geometrically non-linear single crystal plasticity with continuously distributed dislocations. Moreover, a simple simulation example demonstrates the capability of the theory to describe the emergence of planar lattice defects (subgrain boundaries) and introduces characteristics of pattern forming systems.
Автор: D.A. Hills; P.A. Kelly; D.N. Dai; A.M. Korsunsky Название: Solution of Crack Problems ISBN: 0792338480 ISBN-13(EAN): 9780792338482 Издательство: Springer Рейтинг: Цена: 23508.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is concerned with the numerical solution of crack problems. The techniques to be developed are particularly appropriate when cracks are relatively short, and are growing in the neighbourhood of some stress raising feature, causing a relatively steep stress gradient.
The series is devoted to the publication of high-level monographs, surveys and proceedings which cover the whole spectrum of computational and applied mathematics.
The books of this series are addressed to both specialists and advanced students.
Interested authors may submit book proposals to the Managing Editor or to any member of the Editorial Board.
Managing Editor Ulrich Langer, RICAM, Linz, Austria; Johannes Kepler University Linz, Austria
Описание: This book presents new developments in non-local mathematical modeling and mathematical analysis on the behavior of solutions with novel technical tools. Theoretical backgrounds in mechanics, thermo-dynamics, game theory, and theoretical biology are examined in details. It starts off with a review and summary of the basic ideas of mathematical modeling frequently used in the sciences and engineering. The authors then employ a number of models in bio-science and material science to demonstrate applications, and provide recent advanced studies, both on deterministic non-local partial differential equations and on some of their stochastic counterparts used in engineering. Mathematical models applied in engineering, chemistry, and biology are subject to conservation laws. For instance, decrease or increase in thermodynamic quantities and non-local partial differential equations, associated with the conserved physical quantities as parameters. These present novel mathematical objects are engaged with rich mathematical structures, in accordance with the interactions between species or individuals, self-organization, pattern formation, hysteresis. These models are based on various laws of physics, such as mechanics of continuum, electro-magnetic theory, and thermodynamics. This is why many areas of mathematics, calculus of variation, dynamical systems, integrable systems, blow-up analysis, and energy methods are indispensable in understanding and analyzing these phenomena. This book aims for researchers and upper grade students in mathematics, engineering, physics, economics, and biology.
Автор: Nikos I. Kavallaris; Takashi Suzuki Название: Non-Local Partial Differential Equations for Engineering and Biology ISBN: 3319679422 ISBN-13(EAN): 9783319679426 Издательство: Springer Рейтинг: Цена: 16070.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents new developments in non-local mathematical modeling and mathematical analysis on the behavior of solutions with novel technical tools.
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