Nonlinear Analysis And Continuum Mechanics
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Nonlinear Analysis And Continuum Mechanics
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Author : Giuseppe Butazzo
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlinear Analysis And Continuum Mechanics written by Giuseppe Butazzo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The chapters in this volume deal with four fields with deep historical roots that remain active areas reasearch: partial differential equations, variational methods, fluid mechanics, and thermodynamics. The collection is intended to serve two purposes: First, to honor James Serrin, in whose work the four fields frequently interacted; and second, to bring together work in fields that are usually pursued independently but that remain remarkably interrelated. Serrin's contributions to mathematical analysis and its applications are fundamental and include such theorems and methods as the Gilbarg- Serrin theorem on isoated singularities, the Serrin symmetry theorem, the Alexandrov-Serrin moving-plane technique, The Peletier-Serrin uniqueness theorem, and the Serrin integal of the calculus of variations. Serrin has also been noted for the elegance of his mathematical work and for the effectiveness of his teaching and collaborations.
Nonlinear Continuum Mechanics For Finite Element Analysis
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Author : Javier Bonet
language : en
Publisher: Cambridge University Press
Release Date : 2008-03-13
Nonlinear Continuum Mechanics For Finite Element Analysis written by Javier Bonet and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-13 with Science categories.
Designing engineering components that make optimal use of materials requires consideration of the nonlinear characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, and this requires an understanding of both the theoretical background and associated computer solution techniques. By presenting both nonlinear continuum analysis and associated finite element techniques under one roof, Bonet and Wood provide, in this edition of this successful text, a complete, clear, and unified treatment of these important subjects. New chapters dealing with hyperelastic plastic behavior are included, and the authors have thoroughly updated the FLagSHyP program, freely accessible at www.flagshyp.com. Worked examples and exercises complete each chapter, making the text an essential resource for postgraduates studying nonlinear continuum mechanics. It is also ideal for those in industry requiring an appreciation of the way in which their computer simulation programs work.
Worked Examples In Nonlinear Continuum Mechanics For Finite Element Analysis
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Author : Javier Bonet
language : en
Publisher: Cambridge University Press
Release Date : 2012-08-02
Worked Examples In Nonlinear Continuum Mechanics For Finite Element Analysis written by Javier Bonet and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-02 with Mathematics categories.
Extensive solved exercises and solutions to complement the authors' theoretical text Nonlinear Continuum Mechanics for Finite Element Analysis.
Nonlinear Continua
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Author : Eduardo N. Dvorkin
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-27
Nonlinear Continua written by Eduardo N. Dvorkin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-27 with Science categories.
This book develops a modern presentation of Continuum Mechanics, oriented towards numerical applications in the fields of nonlinear analysis of solids, structures and fluid mechanics. The kinematics of the continuum deformation, including pull-back / push-forward transformations between different configurations, stress and strain measures, balance principles, constitutive relations and variational principles are developed using general curvilinear coordinates. Even though the mathematical presentation of the different topics is quite rigorous, an effort is made to link formal developments with engineering physical intuition.
Nonlinear Finite Elements For Continua And Structures
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Author : Ted Belytschko
language : en
Publisher: John Wiley & Sons
Release Date : 2014-01-07
Nonlinear Finite Elements For Continua And Structures written by Ted Belytschko and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-07 with Science categories.
Nonlinear Finite Elements for Continua and Structures p>Nonlinear Finite Elements for Continua and Structures This updated and expanded edition of the bestselling textbook provides a comprehensive introduction to the methods and theory of nonlinear finite element analysis. New material provides a concise introduction to some of the cutting-edge methods that have evolved in recent years in the field of nonlinear finite element modeling, and includes the eXtended Finite Element Method (XFEM), multiresolution continuum theory for multiscale microstructures, and dislocation- density-based crystalline plasticity. Nonlinear Finite Elements for Continua and Structures, Second Edition focuses on the formulation and solution of discrete equations for various classes of problems that are of principal interest in applications to solid and structural mechanics. Topics covered include the discretization by finite elements of continua in one dimension and in multi-dimensions; the formulation of constitutive equations for nonlinear materials and large deformations; procedures for the solution of the discrete equations, including considerations of both numerical and multiscale physical instabilities; and the treatment of structural and contact-impact problems. Key features: Presents a detailed and rigorous treatment of nonlinear solid mechanics and how it can be implemented in finite element analysis Covers many of the material laws used in today’s software and research Introduces advanced topics in nonlinear finite element modelling of continua Introduction of multiresolution continuum theory and XFEM Accompanied by a website hosting a solution manual and MATLAB® and FORTRAN code Nonlinear Finite Elements for Continua and Structures, Second Edition is a must-have textbook for graduate students in mechanical engineering, civil engineering, applied mathematics, engineering mechanics, and materials science, and is also an excellent source of information for researchers and practitioners.
Nonlinear Solid Mechanics For Finite Element Analysis Statics
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Author : Javier Bonet
language : en
Publisher: Cambridge University Press
Release Date : 2016-06-23
Nonlinear Solid Mechanics For Finite Element Analysis Statics written by Javier Bonet and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-23 with Mathematics categories.
A clear and complete postgraduate introduction to the theory and computer programming for the complex simulation of material behavior.
Nonlinear Analysis Scientific Computation And Continuum Mechanics Applied To The Science Of Materials
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Author : Morton E. Gurtin
language : en
Publisher:
Release Date : 1993
Nonlinear Analysis Scientific Computation And Continuum Mechanics Applied To The Science Of Materials written by Morton E. Gurtin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Continuum mechanics categories.
Nonlinear Continuum Mechanics
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Author : Carlos Agelet de Saracibar
language : en
Publisher: Springer Nature
Release Date : 2023-08-22
Nonlinear Continuum Mechanics written by Carlos Agelet de Saracibar and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-22 with Technology & Engineering categories.
This textbook on Continuum Mechanics presents 9 chapters. Chapters 1 and 2 are devoted to Tensor Algebra and Tensor Analysis. Part I of the book includes the next 3 chapters. All the content here is valid for both solid and fluid materials. At the end of Part I, the reader should be able to set up in local spatial/material form, the fundamental governing equations and inequalities for a Continuum Mechanics problem. Part II of the book, Chapters 6 to 10, is devoted to presenting some nonlinear constitutive models for Nonlinear Solid Mechanics, including Finite Deformation Hyperelasticity, Finite Deformation Plasticity, Finite Deformation Coupled Thermoplasticity, and Finite Deformation Contact Mechanics. The constitutive equations are derived within a thermodynamically consistent framework. Finite deformation elastoplasticity models are based on a multiplicative decomposition of the deformation gradient and the notion of an intermediate configuration. Different formulations based on the intermediate configuration, the current or spatial configuration, and the material configuration are considered. The last chapter is devoted to Variational Methods in Solid Mechanics, a fundamental topic in Computational Mechanics. The book may be used as a textbook for an advanced Master’s course on Nonlinear Continuum Mechanics for graduate students in Civil, Mechanical or Aerospace Engineering, Applied Mathematics, or Applied Physics, with an interest in Continuum Mechanics and Computational Mechanics.
Nonlinear Analysis In Soil Mechanics
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Author : Wai-Fah Chen
language : en
Publisher: Elsevier Science & Technology
Release Date : 1990
Nonlinear Analysis In Soil Mechanics written by Wai-Fah Chen and has been published by Elsevier Science & Technology this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Science categories.
Hardbound. With the present state of development of finite element computer software and high-speed digital computer hardware, an almost unlimited number of solutions to soil mechanics and soil structure interaction problems can now be obtained. These are not limited to linear elastic small deformation solid mechanics, but can be extended to include problems of various kinds involving material and geometric nonlinearities. This book is concerned with the development of numerical tools for solutions of nonlinear analysis problems in soil mechanics.
Dynamics And Vibrations
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Author : Seyed Habibollah Hashemi Kachapi
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-18
Dynamics And Vibrations written by Seyed Habibollah Hashemi Kachapi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-18 with Technology & Engineering categories.
Dynamical and vibratory systems are basically an application of mathematics and applied sciences to the solution of real world problems. Before being able to solve real world problems, it is necessary to carefully study dynamical and vibratory systems and solve all available problems in case of linear and nonlinear equations using analytical and numerical methods. It is of great importance to study nonlinearity in dynamics and vibration; because almost all applied processes act nonlinearly, and on the other hand, nonlinear analysis of complex systems is one of the most important and complicated tasks, especially in engineering and applied sciences problems. There are probably a handful of books on nonlinear dynamics and vibrations analysis. Some of these books are written at a fundamental level that may not meet ambitious engineering program requirements. Others are specialized in certain fields of oscillatory systems, including modeling and simulations. In this book, we attempt to strike a balance between theory and practice, fundamentals and advanced subjects, and generality and specialization. None of the books in this area have completely studied and analyzed nonlinear equation in dynamical and vibratory systems using the latest analytical and numerical methods, so that the user can solve the problems without the need of studying too many different references. Thereby in this book, by the use of the latest analytic, numeric laboratorial methods and using more than 300 references like books, papers and the researches done by the authors and by considering almost all possible processes and situation, new theories has been proposed to encounter applied problems in engineering and applied sciences. In this way, the user (bachelor’s, master’s and PhD students, university teachers and even in research centers in different fields of mechanical, civil, aerospace, electrical, chemical, applied mathematics, physics, and etc.) can encounter such systems confidently. In the different chapters of the book, not only are the linear and especially nonlinear problems with oscillatory form broadly discussed, but also applied examples are practically solved by the proposed methodology.