Variational Methods In Nonlinear Elasticity

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Variational Methods In Nonlinear Elasticity

Variational Methods In Nonlinear Elasticity written by Pablo Pedregal and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-01 with Science categories.

In less than 100 pages, this book covers the main vector variational methods developed to solve nonlinear elasticity problems. Presenting a general framework with a tight focus, the author provides a comprehensive exposition of a technically difficult, yet rapidly developing area of modern applied mathematics. The book includes the classical existence theory as well as a brief incursion into problems where nonexistence is fundamental. It also provides self-contained, concise accounts of quasi convexity, polyconvexity, and rank-one convexity, which are used in nonlinear elasticity. Pedregal introduces the reader to Young measures as an important tool in solving vector variational techniques. Readers are encouraged to pursue nonlinear elasticity as one of the best means to apply these techniques. Although there are other books devoted to nonlinear elasticity or variational methods, none are concerned with Young measures as a tool for proving existence results in nonlinear elasticity.

Siam Journal On Applied Mathematics

Siam Journal On Applied Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.

Variational Methods For Fundamental Nonlinear Problems Of Partial And Ordinary Differential Equations

Variational Methods For Fundamental Nonlinear Problems Of Partial And Ordinary Differential Equations written by M. S. Berger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.

Substantial results documented in ten research papers were obtained under the grant. The principal achievements center about the discovery of new methods in the calculus of variations and the application of these methods to specific problems in nonlinear elliptic partial differential equations, differential geometry, nonlinear elasticity and fluid mechanics. Significant applications were the following: a complete study of large vortex rings in an ideal fluid, a vigorous variational method for the study of large deformation equilibrium states in nonlinear elasticity under general bending and buckling body forces, new results in bifurcation theory using the Morse type numbers, a new result on the simplest metrics on complex manifolds, new solvability criteria for nonlinear gradient operator equations, and an entirely new method for the study of nonlinear operator equations and boundary value problems for partial differential equations with far reaching consequences both for numerical analysis and theoretical research. (Author).

Journal Of Applied Mechanics

Journal Of Applied Mechanics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mechanics, Applied categories.

Handbook Of Variational Methods For Nonlinear Geometric Data

Handbook Of Variational Methods For Nonlinear Geometric Data written by Philipp Grohs and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-03 with Mathematics categories.

This book covers different, current research directions in the context of variational methods for non-linear geometric data. Each chapter is authored by leading experts in the respective discipline and provides an introduction, an overview and a description of the current state of the art. Non-linear geometric data arises in various applications in science and engineering. Examples of nonlinear data spaces are diverse and include, for instance, nonlinear spaces of matrices, spaces of curves, shapes as well as manifolds of probability measures. Applications can be found in biology, medicine, product engineering, geography and computer vision for instance. Variational methods on the other hand have evolved to being amongst the most powerful tools for applied mathematics. They involve techniques from various branches of mathematics such as statistics, modeling, optimization, numerical mathematics and analysis. The vast majority of research on variational methods, however, is focused on data in linear spaces. Variational methods for non-linear data is currently an emerging research topic. As a result, and since such methods involve various branches of mathematics, there is a plethora of different, recent approaches dealing with different aspects of variational methods for nonlinear geometric data. Research results are rather scattered and appear in journals of different mathematical communities. The main purpose of the book is to account for that by providing, for the first time, a comprehensive collection of different research directions and existing approaches in this context. It is organized in a way that leading researchers from the different fields provide an introductory overview of recent research directions in their respective discipline. As such, the book is a unique reference work for both newcomers in the field of variational methods for non-linear geometric data, as well as for established experts that aim at to exploit new research directions or collaborations. Chapter 9 of this book is available open access under a CC BY 4.0 license at link.springer.com.

Inelastic Behaviour In Shells

Inelastic Behaviour In Shells written by Wacław Olszak and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Elastic plates and shells categories.

Rundbrief Der Gesellschaft Fur Angewandte Mathematik Und Mechanik

Rundbrief Der Gesellschaft Fur Angewandte Mathematik Und Mechanik written by Gesellschaft für Angewandte Mathematik und Mechanik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.

A Bibliography For Finite Elements

A Bibliography For Finite Elements written by John Robert Whiteman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Mathematics categories.

Proceedings Of The International Conference On Nonlinear Mechanics

Proceedings Of The International Conference On Nonlinear Mechanics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Nonlinear mechanics categories.

Proceedings Of The International Conference On Nonlinear Mechanics Shanghai China 28 31 October 1985

Proceedings Of The International Conference On Nonlinear Mechanics Shanghai China 28 31 October 1985 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Science categories.