Spatial and Material Forces in Nonlinear Continuum Mechanics, Steinmann

Автор: Kachanov, M., & Sevostianov, I.
Название: Micromechanics of Materials, with Applications
ISBN: 3319762036 ISBN-13(EAN): 9783319762036
Издательство: Springer
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Цена: 204970.00 T
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Описание: This book on micromechanics explores both traditional aspects and the advances made in the last 10–15 years. The viewpoint it assumes is that the rapidly developing field of micromechanics, apart from being of fundamental scientific importance, is motivated by materials science applications. The introductory chapter provides the necessary background together with some less traditional material, examining e.g. approximate elastic symmetries, Rice’s technique of internal variables and multipole expansions. The remainder of the book is divided into the following parts: (A) classic results, which consist of Rift Valley Energy (RVE), Hill’s results, Eshelby’s results for ellipsoidal inhomogeneities, and approximate schemes for the effective properties; (B) results aimed at overcoming these limitations, such as volumes smaller than RVE, quantitative characterization of “irregular” microstructures, non-ellipsoidal inhomogeneities, and cross-property connections; (C) local fields and effects of interactions on them; and lastly (D) – the largest section – which explores applications to eight classes of materials that illustrate how to apply the micromechanics methodology to specific materials.

Автор: Chyan-Deng Jan
Название: Gradually-varied Flow Profiles in Open Channels
ISBN: 3642352413 ISBN-13(EAN): 9783642352416
Издательство: Springer
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Цена: 111790.00 T
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Описание: This book shows how to solve GVF profiles using direct integration and Gaussian hypergeometric function. Lays groundwork for computing at one sweep the GVF profiles in a series of sustaining and adverse channels, which may have horizontal slopes between them.

Автор: Gerhard A. Holzapfel
Название: Nonlinear Solid Mechanics: A Continuum Approach for Engineering
ISBN: 0471823198 ISBN-13(EAN): 9780471823193
Издательство: Wiley
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Цена: 61190.00 T
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Описание: Nonlinear Solid Mechanics a Continuum Approach for Engineering Gerhard A. Holzapfel Graz University of Technology, Austria With a modern, comprehensive approach directed towards computational mechanics, this book covers a unique combination of subjects at present unavailable in any other text.

Автор: Agelet de Saracibar
Название: Nonlinear Continuum Mechanics
ISBN: 3031152069 ISBN-13(EAN): 9783031152061
Издательство: Springer
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Цена: 93160.00 T
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Описание: 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.

Автор: Altenbach
Название: Advances in Linear and Nonlinear Continuum and Structural Mechanics
ISBN: 303143210X ISBN-13(EAN): 9783031432101
Издательство: Springer
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Цена: 111790.00 T
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Автор: Yuriy I. Dimitrienko
Название: Nonlinear Continuum Mechanics and Large Inelastic Deformations
ISBN: 9400734131 ISBN-13(EAN): 9789400734135
Издательство: Springer
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Цена: 217670.00 T
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Описание: The book provides a rigorous axiomatic approach to continuum mechanics under large deformation. In addition to classical nonlinear continuum mechanics, the text presents the theory of co-rotational derivatives, dynamic deformation compatibility equations, and the principles of material indifference and symmetry.

Автор: G?rard A. Maugin; Raymonde Drouot; Fran?ois Sidoro
Название: Continuum Thermomechanics
ISBN: 0792364074 ISBN-13(EAN): 9780792364078
Издательство: Springer
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Цена: 191560.00 T
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Описание: Contributed by world-renowned specialists on the occasion of Paul Germain`s 80th birthday, this book reflects the foundational works and the intellectual influence of this author. It presents the realm of modern thermomechanics with its extraordinary wealth of applications to the behaviour of materials, whether solid or fluid.

Автор: Steinmann Paul
Название: Spatial and Material Forces in Nonlinear Continuum Mechanics: A Dissipation-Consistent Approach
ISBN: 3030890694 ISBN-13(EAN): 9783030890698
Издательство: Springer
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Цена: 158380.00 T
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Описание: This monograph details spatial and material vistas on non-linear continuum mechanics in a dissipation-consistent approach. Thereby, the spatial vista renders the common approach to nonlinear continuum mechanics and corresponding spatial forces, whereas the material vista elaborates on configurational mechanics and corresponding material or rather configurational forces. Fundamental to configurational mechanics is the concept of force. In analytical mechanics, force is a derived object that is power conjugate to changes of generalised coordinates. For a continuum body, these are typically the spatial positions of its continuum points. However, if in agreement with the second law, continuum points, e.g. on the boundary, may also change their material positions. Configurational forces are then power conjugate to these configurational changes. A paradigm is a crack tip, i.e. a singular part of the boundary changing its position during crack propagation, with the related configurational force, typically the J-integral, driving its evolution, thereby consuming power, typically expressed as the energy release rate. Taken together, configurational mechanics is an unconventional branch of continuum physics rationalising and unifying the tendency of a continuum body to change its material configuration. It is thus the ideal formulation to tackle sophisticated problems in continuum defect mechanics. Configurational mechanics is entirely free of restrictions regarding geometrical and constitutive nonlinearities and offers an accompanying versatile computational approach to continuum defect mechanics. In this monograph, I present a detailed summary account of my approach towards configurational mechanics, thereby fostering my view that configurational forces are indeed dissipation-consistent to configurational changes.

Автор: Giuseppe Butazzo; Giovanni Paolo Galdi; Ermanno La
Название: Nonlinear Analysis and Continuum Mechanics
ISBN: 1461274559 ISBN-13(EAN): 9781461274551
Издательство: Springer
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Цена: 97820.00 T
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Автор: Andrianov
Название: Problems of Nonlinear Mechanics and Physics of Materials
ISBN: 3319922335 ISBN-13(EAN): 9783319922331
Издательство: Springer
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Цена: 139750.00 T
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Описание: This book presents contributions on the current problems in a number of topical areas of nonlinear dynamics and physics, written by experts from Russia, Ukraine, Israel, Germany, Poland, Italy, the Netherlands, the USA, and France. The book is dedicated to Professor Leonid I.

Автор: Abali Bilen Emek
Название: Computational Reality: Solving Nonlinear and Coupled Problems in Continuum Mechanics
ISBN: 9811096198 ISBN-13(EAN): 9789811096198
Издательство: Springer
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Цена: 158380.00 T
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Описание: Preliminaries.- Mechanics.- Thermodynamics.- Electromagnetic interaction.- Appendix.

Автор: Altenbach
Название: Advances in Linear and Nonlinear Continuum and Structural Mechanics
ISBN: 3031432096 ISBN-13(EAN): 9783031432095
Издательство: Springer
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Цена: 111790.00 T
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Описание: This book offers a current image of modern mechanics. The book reflects current state of the art in the field of continuum mechanics and mechanics of structures including recent achievements in classic and non-classic approaches. The chapters are written by leading specialist in the field, so the book collects cutting edge investigations in the field. As a target we consider the society starting from beginners, i.e. master and PhD students, and also leaders in the field, that is professors of universities and civil, mechanical and aerospace engineers.