Variational Problems In Materials Science PDF Download
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| Author | : Gianni Dal Maso |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 166 |
| Release | : 2006-06-23 |
| Genre | : Technology & Engineering |
| ISBN | : 3764375655 |
Download Variational Problems in Materials Science Book in PDF, ePub and Kindle
This volume contains the proceedings of the international workshop Variational Problems in Materials Science. Coverage includes the study of BV vector fields, path functionals over Wasserstein spaces, variational approaches to quasi-static evolution, free-discontinuity problems with applications to fracture and plasticity, systems with hysteresis or with interfacial energies, evolution of interfaces, multi-scale analysis in ferromagnetism and ferroelectricity, and much more.
| Author | : Gianni Dal Maso |
| Publisher | : Birkhäuser |
| Total Pages | : 162 |
| Release | : 2006-03-17 |
| Genre | : Technology & Engineering |
| ISBN | : 9783764375645 |
Download Variational Problems in Materials Science Book in PDF, ePub and Kindle
This volume contains the proceedings of the international workshop Variational Problems in Materials Science. Coverage includes the study of BV vector fields, path functionals over Wasserstein spaces, variational approaches to quasi-static evolution, free-discontinuity problems with applications to fracture and plasticity, systems with hysteresis or with interfacial energies, evolution of interfaces, multi-scale analysis in ferromagnetism and ferroelectricity, and much more.
| Author | : Hans Petter Langtangen |
| Publisher | : Springer Nature |
| Total Pages | : 395 |
| Release | : 2019-09-26 |
| Genre | : Mathematics |
| ISBN | : 3030237885 |
Download Introduction to Numerical Methods for Variational Problems Book in PDF, ePub and Kindle
This textbook teaches finite element methods from a computational point of view. It focuses on how to develop flexible computer programs with Python, a programming language in which a combination of symbolic and numerical tools is used to achieve an explicit and practical derivation of finite element algorithms. The finite element library FEniCS is used throughout the book, but the content is provided in sufficient detail to ensure that students with less mathematical background or mixed programming-language experience will equally benefit. All program examples are available on the Internet.
| Author | : Siegfried Carl |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 404 |
| Release | : 2007-06-07 |
| Genre | : Mathematics |
| ISBN | : 038746252X |
Download Nonsmooth Variational Problems and Their Inequalities Book in PDF, ePub and Kindle
This monograph focuses primarily on nonsmooth variational problems that arise from boundary value problems with nonsmooth data and/or nonsmooth constraints, such as multivalued elliptic problems, variational inequalities, hemivariational inequalities, and their corresponding evolution problems. It provides a systematic and unified exposition of comparison principles based on a suitably extended sub-supersolution method.
| Author | : Kevin W. Cassel |
| Publisher | : Cambridge University Press |
| Total Pages | : 433 |
| Release | : 2013-07-22 |
| Genre | : Mathematics |
| ISBN | : 1107022584 |
Download Variational Methods with Applications in Science and Engineering Book in PDF, ePub and Kindle
This book reflects the strong connection between calculus of variations and the applications for which variational methods form the foundation.
| Author | : Naveen Kumar |
| Publisher | : Alpha Science Int'l Ltd. |
| Total Pages | : 144 |
| Release | : 2005 |
| Genre | : Computers |
| ISBN | : 9781842651957 |
Download An Elementary Course on Variational Problems in Calculus Book in PDF, ePub and Kindle
"The book covers topics in detail supported by figures and exercises and also lists some direct (approximate) methods to solve boundary value problems containing ordinary/partial differential equations by variational and residue methods, some of them being of immense importance in the treatment of finite element numerical methods. Variety of disciplines being used in the subject, are given in brief, in respective appendices."--BOOK JACKET.
| Author | : N. Kikuchi |
| Publisher | : SIAM |
| Total Pages | : 498 |
| Release | : 1988-01-01 |
| Genre | : Science |
| ISBN | : 0898714680 |
Download Contact Problems in Elasticity Book in PDF, ePub and Kindle
The contact of one deformable body with another lies at the heart of almost every mechanical structure. Here, in a comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems. Using variational formulations, Kikuchi and Oden derive a multitude of new results, both for classical problems and for nonlinear problems involving large deflections and buckling of thin plates with unilateral supports, dry friction with nonclassical laws, large elastic and elastoplastic deformations with frictional contact, dynamic contacts with dynamic frictional effects, and rolling contacts. This method exposes properties of solutions obscured by classical methods, and it provides a basis for the development of powerful numerical schemes.
| Author | : Constantin Udriste |
| Publisher | : John Wiley & Sons |
| Total Pages | : 228 |
| Release | : 2023-02-13 |
| Genre | : Mathematics |
| ISBN | : 1119944368 |
Download Variational Calculus with Engineering Applications Book in PDF, ePub and Kindle
A comprehensive overview of foundational variational methods for problems in engineering Variational calculus is a field in which small alterations in functions and functionals are used to find their relevant maxima and minima. It is a potent tool for addressing a range of dynamic problems with otherwise counter-intuitive solutions, particularly ones incorporating multiple confounding variables. Its value in engineering fields, where materials and geometric configurations can produce highly specific problems with unconventional or unintuitive solutions, is considerable. Variational Calculus with Engineering Applications provides a comprehensive survey of this toolkit and its engineering applications. Balancing theory and practice, it offers a thorough and accessible introduction to the field pioneered by Euler, Lagrange and Hamilton, offering tools that can be every bit as powerful as the better-known Newtonian mechanics. It is an indispensable resource for those looking for engineering-oriented overview of a subject whose capacity to provide engineering solutions is only increasing. Variational Calculus with Engineering Applications readers will also find: Discussion of subjects including variational principles, levitation, geometric dynamics, and more Examples and instructional problems in every Chapter, along with MAPLE codes for performing the simulations described in each Engineering applications based on simple, curvilinear, and multiple integral functionals Variational Calculus with Engineering Applications is ideal for advanced students, researchers, and instructors in engineering and materials science.
| Author | : Alexey F. Izmailov |
| Publisher | : Springer |
| Total Pages | : 587 |
| Release | : 2014-07-08 |
| Genre | : Business & Economics |
| ISBN | : 3319042475 |
Download Newton-Type Methods for Optimization and Variational Problems Book in PDF, ePub and Kindle
This book presents comprehensive state-of-the-art theoretical analysis of the fundamental Newtonian and Newtonian-related approaches to solving optimization and variational problems. A central focus is the relationship between the basic Newton scheme for a given problem and algorithms that also enjoy fast local convergence. The authors develop general perturbed Newtonian frameworks that preserve fast convergence and consider specific algorithms as particular cases within those frameworks, i.e., as perturbations of the associated basic Newton iterations. This approach yields a set of tools for the unified treatment of various algorithms, including some not of the Newton type per se. Among the new subjects addressed is the class of degenerate problems. In particular, the phenomenon of attraction of Newton iterates to critical Lagrange multipliers and its consequences as well as stabilized Newton methods for variational problems and stabilized sequential quadratic programming for optimization. This volume will be useful to researchers and graduate students in the fields of optimization and variational analysis.
| Author | : William Strieder |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 121 |
| Release | : 2013-03-07 |
| Genre | : Mathematics |
| ISBN | : 3642656242 |
Download Variational Methods Applied to Problems of Diffusion and Reaction Book in PDF, ePub and Kindle
This monograph is an account of some problems involving diffusion or diffusion with simultaneous reaction that can be illuminated by the use of variational principles. It was written during a period that included sabbatical leaves of one of us (W. S. ) at the University of Minnesota and the other (R. A. ) at the University of Cambridge and we are grateful to the Petroleum Research Fund for helping to support the former and the Guggenheim Foundation for making possible the latter. We would also like to thank Stephen Prager for getting us together in the first place and for showing how interesting and useful these methods can be. We have also benefitted from correspondence with Dr. A. M. Arthurs of the University of York and from the counsel of Dr. B. D. Coleman the general editor of this series. Table of Contents Chapter 1. Introduction and Preliminaries . 1. 1. General Survey 1 1. 2. Phenomenological Descriptions of Diffusion and Reaction 2 1. 3. Correlation Functions for Random Suspensions 4 1. 4. Mean Free Path Statistics . 8 1. 5. Void Point-Surface Statistics . 11 1. 6. Variational Principles Applied to the Diffusion Equation. 12 1. 7. Notation. 16 Chapter 2. Diffusion Through a Porous Medium . 18 2. 1. Introduction 18 2. 2. Diffusion Through an Isotropic Porous Medium 18 2. 3. Variational Formulation for De . 20 2. 4. Bounds on De for an Isotropic Suspension 22 2. 5.
