Mechanics of Generalized Continua

Mechanics of Generalized Continua Author Holm Altenbach
ISBN-10 364219219X
Release 2011-04-02
Pages 352
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This collection on „Mechanics of Generalized Continua - from Micromechanical Basics to Engineering Applications“ brings together leading scientists in this field from France, Russian Federation, and Germany. The attention in this publication is be focussed on the most recent research items, i.e., - new models, - application of well-known models to new problems, - micro-macro aspects, - computational effort, - possibilities to identify the constitutive equations, and - old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.



Mechanics of Generalized Continua

Mechanics of Generalized Continua Author Gérard A. Maugin
ISBN-10 9781441956958
Release 2010-03-24
Pages 337
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In their 1909 publication Théorie des corps déformables, Eugène and François Cosserat made a historic contribution to materials science by establishing the fundamental principles of the mechanics of generalized continua. The chapters collected in this volume showcase the many areas of continuum mechanics that grew out of the foundational work of the Cosserat brothers. The included contributions provide a detailed survey of the most recent theoretical developments in the field of generalized continuum mechanics and can serve as a useful reference for graduate students and researchers in mechanical engineering, materials science, applied physics and applied mathematics.



Mechanics of Generalized Continua

Mechanics of Generalized Continua Author E. Kröner
ISBN-10 9783662302576
Release 2013-11-11
Pages 358
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5 The symposium was held in Freudenstadt from 28\h to 31 \ ofAugust st nd 1967 and in Stuttgart from 1 to 2 of September 1967. The proposal to hold this symposium originated with the German Society of Applied Mathematics and Mechanics (GAMM) late in 1964 and was examined by a committee of IUTAM especially appointed for this purpose. The basis of this examination was a report in which the present situation in the field and the possible aims of the symposium were surveyed. Briefly, the aims of the symposium were stated to be 1. the unification of the various approaches developed in recent years with the aim of penetrating into the microscopic world of matter by means of continuum theories; 2. the bridging of the gap between microscopic (or atomic) research on mechanics on one hand, and the phenomenological (or continuum mechanical) approach on the other hand; 3. the physical interpretation and the relation to actual material behaviour of the quantities and laws introduced into the new theories, together with applications; 4. the further development of the theories, where necessary, and the clarification of open questions; 5. a stocktaking of present achievements and the prognosis for future developments. The committee agreed unanimously that the topic of the symposium represented an important phase of current developments in continuum mechanics, from the purely theoretical point of view as well as in connection with possible applications to actual materials.



Generalized Continua from the Theory to Engineering Applications

Generalized Continua   from the Theory to Engineering Applications Author Holm Altenbach
ISBN-10 9783709113707
Release 2012-10-18
Pages 388
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On the roots of continuum mechanics in differential geometry -- a review.- Cosserat media.- Cosserat-type shells.- Cosserat-type rods.- Micromorphic media.- Electromagnetism and generalized continua.- Computational methods for generalized continua. The need of generalized continua models is coming from practice. Complex material behavior sometimes cannot be presented by the classical Cauchy continua. At present the attention of the scientists in this field is focused on the most recent research items • new models, • application of well-known models to new problems, • micro-macro aspects, • computational effort, and • possibilities to identify the constitutive equations The new research directions are discussed in this volume - from the point of view of modeling and simulation, identification, and numerical methods.



From Waves in Complex Systems to Dynamics of Generalized Continua

From Waves in Complex Systems to Dynamics of Generalized Continua Author Kolumban Hutter
ISBN-10 9789814340724
Release 2011
Pages 401
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The book reviews recent research activities in applied mechanics and applied mathematics such as the fields of solid & fluid constitutive modeling for coupled fields, applications of geophysical & environmental context in judicious numerical-computational implementations. The book aims to merge foundation aspects of continuum mechanics with modern technological applications, notably on reviewing recent advances in the treated subjects in an attractive presentation accessible to a wide readership of engineering and applied sciences.



Non linear Mechanics of Generalized Continua and Applications to Composite Materials

Non linear Mechanics of Generalized Continua and Applications to Composite Materials Author Manuel Ferretti
ISBN-10 OCLC:955340318
Release 2014
Pages
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Non linear Mechanics of Generalized Continua and Applications to Composite Materials has been writing in one form or another for most of life. You can find so many inspiration from Non linear Mechanics of Generalized Continua and Applications to Composite Materials also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Non linear Mechanics of Generalized Continua and Applications to Composite Materials book for free.



Mechanics of generalized continua proceedings ed

Mechanics of generalized continua  proceedings  ed Author Symposium on the Generalized Cosserat Continuum and the Continuum Theory of Dislocations with Applications, Freudenstadt and Stuttgart, 1967
ISBN-10 OCLC:952519649
Release
Pages
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Mechanics of generalized continua proceedings ed has been writing in one form or another for most of life. You can find so many inspiration from Mechanics of generalized continua proceedings ed also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Mechanics of generalized continua proceedings ed book for free.



Generalized Continua and Dislocation Theory

Generalized Continua and Dislocation Theory Author Carlo Sansour
ISBN-10 9783709112229
Release 2012-05-27
Pages 318
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Defects, dislocations and the general theory.- Approaches to generalized continua.- Generalized continuum modelling of crystal plasticity.- Introduction to discrete dislocation dynamics. The book contains four lectures on generalized continua and dislocation theory, reflecting the treatment of the subject at different scales. G. Maugin provides a continuum formulation of defects at the heart of which lies the notion of the material configuration and the material driving forces of in-homogeneities such as dislocations, disclinations, point defects, cracks, phase-transition fronts and shock waves. C. Sansour and S. Skatulla start with a compact treatment of linear transformation groups with subsequent excursion into the continuum theory of generalized continua. After a critical assessment a unified framework of the same is presented. The next contribution by S. Forest gives an account on generalized crystal plasticity. Finally, H. Zbib provides an account of dislocation dynamics and illustrates its fundamental importance at the smallest scale. In three contributions extensive computational results of many examples are presented.



Generalized Continua as Models for Materials

Generalized Continua as Models for Materials Author Holm Altenbach
ISBN-10 9783642363948
Release 2014-07-08
Pages 331
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This volume presents contributions describing the micro- and macro-behaviours, new existence and uniqueness theorems, the formulation of multi-scale problems, etc. and now it is time to ponder again the state of matter and to discuss new trends and applications. The main focus is directed on the following items - Modelling and simulation of materials with significant microstructure, - Generalized continua as a result of multi-scale models, - Multi-field actions on materials resulting in generalized material models, and - Comparison with discrete modelling approaches



Non Classical Continuum Mechanics

Non Classical Continuum Mechanics Author Gérard A. Maugin
ISBN-10 9789811024344
Release 2016-09-24
Pages 259
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This dictionary offers clear and reliable explanations of over 100 keywords covering the entire field of non-classical continuum mechanics and generalized mechanics, including the theory of elasticity, heat conduction, thermodynamic and electromagnetic continua, as well as applied mathematics. Every entry includes the historical background and the underlying theory, basic equations and typical applications. The reference list for each entry provides a link to the original articles and the most important in-depth theoretical works. Last but not least, every entry is followed by a cross-reference to other related subject entries in the dictionary.



Treatise on Classical Elasticity

Treatise on Classical Elasticity Author Petre P. Teodorescu
ISBN-10 9789400726161
Release 2014-07-08
Pages 802
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Deformable solids have a particularly complex character; mathematical modeling is not always simple and often leads to inextricable difficulties of computation. One of the simplest mathematical models and, at the same time, the most used model, is that of the elastic body – especially the linear one. But, notwithstanding its simplicity, even this model of a real body may lead to great difficulties of computation. The practical importance of a work about the theory of elasticity, which is also an introduction to the mechanics of deformable solids, consists of the use of scientific methods of computation in a domain in which simplified methods are still used. This treatise takes into account the consideration made above, with special attention to the theoretical study of the state of strain and stress of a deformable solid. The book draws on the known specialized literature, as well as the original results of the author and his 50+ years experience as Professor of Mechanics and Elasticity at the University of Bucharest. The construction of mathematical models is made by treating geometry and kinematics of deformation, mechanics of stresses and constitutive laws. Elastic, plastic and viscous properties are thus put in evidence and the corresponding theories are developed. Space problems are treated and various particular cases are taken into consideration. New solutions for boundary value problems of finite and infinite domains are given and a general theory of concentrated loads is built. Anisotropic and non-homogeneous bodies are studied as well. Cosserat type bodies are also modeled. The connection with thermal and viscous phenomena will be considered too. Audience: researchers in applied mathematics, mechanical and civil engineering.



Generalized Continua as Models for Classical and Advanced Materials

Generalized Continua as Models for Classical and Advanced Materials Author Holm Altenbach
ISBN-10 9783319317212
Release 2016-04-15
Pages 457
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This volume is devoted to an actual topic which is the focus world-wide of various research groups. It contains contributions describing the material behavior on different scales, new existence and uniqueness theorems, the formulation of constitutive equations for advanced materials. The main emphasis of the contributions is directed on the following items - Modelling and simulation of natural and artificial materials with significant microstructure, - Generalized continua as a result of multi-scale models, - Multi-field actions on materials resulting in generalized material models, - Theories including higher gradients, and - Comparison with discrete modelling approaches



Wave Dynamics of Generalized Continua

Wave Dynamics of Generalized Continua Author Alexander G. Bagdoev
ISBN-10 9783642372674
Release 2015-09-25
Pages 274
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This monograph is devoted to problems of propagation and stability of linear and nonlinear waves in continuous media with complex structure. It considers the different media, such as solid with cavities, preliminary deformed disperse medium, solid with porosity filled by the electrically conductive and non-conductive liquid, magnetoelastic, piezo-semiconductors, crystals with dislocations, composites with inclusions, an electrically conductive asymmetrical liquid, a mixture of gas with a drop liquid. The book also considers the propagation of a laser beam through a two-level medium. The presented results are based on methods of evolution and modulation equations that were developed by the authors. The book is intended for scientific and technical researchers, students and post-graduate students specializing in mechanics of continuous media, physical acoustics, and physics of the solid state.



Introduction to Mechanics of Continua

Introduction to Mechanics of Continua Author William Prager
ISBN-10 0486438090
Release 1961
Pages 230
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A classic in the field, this book meets the demands of courses that establish groundwork in hydrodynamics, gas dynamics, plasticity and elasticity, and it provides typical continua problems for nonspecialists. The author addresses the major aspects of continuum studies: geometrical foundations, state of stress, instantaneous motion, fundamental laws, perfect fluids, viscous fluids, visco-plastic and perfectly plastic materials, hypoelastic materials, finite strain, and elastic and hyperelastic materials. The text’s broad converge and numerous applications include more than 160 problems and examples, and the only prerequisites are first- and second-year college calculus. 1961 ed.



Theory of Micropolar Elasticity

Theory of Micropolar Elasticity Author Witold Nowacki
ISBN-10 9783709127209
Release 2014-05-04
Pages 286
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Theory of Micropolar Elasticity has been writing in one form or another for most of life. You can find so many inspiration from Theory of Micropolar Elasticity also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Theory of Micropolar Elasticity book for free.



Foundations of Micropolar Mechanics

Foundations of Micropolar Mechanics Author Victor A. Eremeyev
ISBN-10 9783642283536
Release 2012-07-25
Pages 142
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The book presents foundations of the micropolar continuum mechanics including a short but comprehensive introduction of stress and strain measures, derivation of motion equations and discussion of the difference between Cosserat and classical (Cauchy) continua, and the discussion of more specific problems related to the constitutive modeling, i.e. constitutive inequalities, symmetry groups, acceleration waves, etc.



Recent Developments in the Theory of Polar Continua

Recent Developments in the Theory of Polar Continua Author Rastko Stojanovic
ISBN-10 9783709143094
Release 2014-05-04
Pages 345
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Recent Developments in the Theory of Polar Continua has been writing in one form or another for most of life. You can find so many inspiration from Recent Developments in the Theory of Polar Continua also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Recent Developments in the Theory of Polar Continua book for free.