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71 Shillor, Meir Models and Analysis of Quasistatic Contact I11289 2004 eBook  
72 Gambin, W Plasticity and Textures I11022 2001 eBook  
73 Liu, I-Shih Continuum Mechanics I10857 2002 eBook  
74 Ivanova, Jordanka Geometric Method for Stability of Non-Linear Elastic Thin Shells I10833 2002 eBook  
75 Martinis, J.A.C Friction and Instabilities I10830 2002 eBook  
76 Podio-Guidugli, P A Primer in Elasticity I10790 2000 eBook  
77 Straughan, Brian Continuum Mechanics and Applications in Geophysics and the Environment I10757 2001 eBook  
78 Bruhns, Otto T Advanced Mechanics of Solids I10718 2003 eBook  
79 M??ller, Ingo Rubber and Rubber Balloons I10691 2004 eBook  
80 Horie, Yasuyuki High-Pressure Shock Compression of Solids VI I10551 2003 eBook  
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71.    
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TitleModels and Analysis of Quasistatic Contact : Variational Methods
Author(s)Shillor, Meir;Sofonea, Mircea;Telega, J??zef Joachim
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2004.
DescriptionXI, 263 p : online resource
Abstract NoteThe mathematical theory of contact mechanics is a growing field in engineering and scientific computing. This book is intended as a unified and readily accessible source for mathematicians, applied mathematicians, mechanicians, engineers and scientists, as well as advanced students. The first part describes models of the processes involved like friction, heat generation and thermal effects, wear, adhesion and damage. The second part presents many mathematical models of practical interest and demonstrates the close interaction and cross-fertilization between contact mechanics and the theory of variational inequalities. The last part reviews further results, gives many references to current research and discusses open problems and future developments. The book can be read by mechanical engineers interested in applications. In addition, some theorems and their proofs are given as examples for the mathematical tools used in the models
ISBN,Price9783540446439
Keyword(s)1. CLASSICAL MECHANICS 2. EBOOK 3. EBOOK - SPRINGER 4. ENGINEERING 5. Engineering, general 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. MECHANICS 9. Mechanics, Applied 10. PHYSICS 11. Solid Mechanics 12. Theoretical, Mathematical and Computational Physics
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72.     
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TitlePlasticity and Textures
Author(s)Gambin, W
PublicationDordrecht, Springer Netherlands, 2001.
DescriptionXVII, 240 p : online resource
Abstract NoteThe classical, phenomenological theory of plastically anisotropic materials has passed a long way: from the work of von Mises presented in 1928, and the HilI formulation given in 1948, to the latest papers on large elastic-plastic deformations of anisotropic metal sheets. A characteristic feature of this approach is a linear flow rule and a quadratic yield criterion. Mathematical simplicity of the theory is a reason of its numerous applications to the analysis of engineering structures during the onset of plastic deformations. However, such an approach is not sufficient for description of the metal forming processes, when a metal element undergoes very large plastic strains. If we take an initially isotropic piece of metal, it becomes plastically anisotropic during the forming process, and the induced anisotropy progressively increases. This fact strongly determines directions of plastic flow, and it leads to an unexpected strain localization in sheet elements. To explain the above, it is necessary to take into account a polycrystalline structure of the metal, plastic slips on slip systems of grains, crystallographic lattice rotations, and at last, a formation of textures and their evolution during the whole deformation process. In short, it is necessary to introduce the plasticity of crystals and polycrystals. The polycrystal analysis shows that, when the advanced plastic strains take place, some privileged crystallographic directions, called a crystallographic texture, occur in the material. The texture formation and evolution are a primary reason for the induced plastic anisotropy in pure metals
ISBN,Price9789401597630
Keyword(s)1. APPLIED MATHEMATICS 2. Characterization and Evaluation of Materials 3. CLASSICAL MECHANICS 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MATHEMATICS 7. MATERIALS SCIENCE 8. Mathematical and Computational Engineering 9. MECHANICS 10. Mechanics, Applied 11. Metallic Materials 12. METALS 13. Solid Mechanics
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73.     
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TitleContinuum Mechanics
Author(s)Liu, I-Shih
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2002.
DescriptionXII, 298 p : online resource
Abstract NoteThis concise textbook develops step by step the fundamental principles of continuum mechanics. Emphasis is on mathematical clarity, and an extended appendix provides the required background knowledge in linear algebra and tensor calculus. After introducing the basic notions about general kinematics, balance equations, material objectivity and constitutive functions, the book turns to the presentation of rational thermodynamics by stressing the role of Lagrange multipliers in deriving constitutive funcitions from the underlying entropy principle. A brief lecture on extended thermodynamics closes the book. Many examples and exercises round off the material presented in the chapters. The book addresses primarily advanced undergraduate students in theoretical physics, applied mathematics and materials sciences
ISBN,Price9783662050569
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. CLASSICAL MECHANICS 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MATHEMATICS 7. MECHANICS 8. Mechanics, Applied 9. Solid Mechanics 10. THERMODYNAMICS
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74.     
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TitleGeometric Method for Stability of Non-Linear Elastic Thin Shells
Author(s)Ivanova, Jordanka;Pastrone, Franco
PublicationNew York, NY, Springer US, 2002.
DescriptionXIII, 244 p. 1 illus : online resource
Abstract NotePREFACE This book deals with the new developments and applications of the geometric method to the nonlinear stability problem for thin non-elastic shells. There are no other published books on this subject except the basic ones of A. V. Pogorelov (1966,1967,1986), where variational principles defined over isometric surfaces, are postulated, and applied mainly to static and dynamic problems of elastic isotropic thin shells. A. V. Pogorelov (Harkov, Ukraine) was the first to provide in his monographs the geometric construction of the deformed shell surface in a post-critical stage and deriving explicitely the asymptotic formulas for the upper and lower critical loads. In most cases, these formulas were presented in a closed analytical form, and confirmed by experimental data. The geometric method by Pogorelov is one of the most important analytical methods developed during the last century. Its power consists in its ability to provide a clear geometric picture of the postcritical form of a deformed shell surface, successfully applied to a direct variational approach to the nonlinear shell stability problems. Until now most Pogorelov's monographs were written in Russian, which limited the diffusion of his ideas among the international scientific community. The present book is intended to assist and encourage the researches in this field to apply the geometric method and the related results to everyday engineering practice
ISBN,Price9781461515111
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. CLASSICAL MECHANICS 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MATHEMATICS 7. MECHANICS 8. Mechanics, Applied 9. Solid Mechanics
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75.     
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TitleFriction and Instabilities
Author(s)Martinis, J.A.C;Raous, M
PublicationVienna, Springer Vienna, 2002.
DescriptionVII, 291 p. 109 illus., 16 illus. in color : online resource
Abstract NoteThe book addresses instability and bifurcation phenomena in frictional contact problems. The treatment of this subject has its roots in previous studies of instability and bifurcation in elastic, thermoelastic or elastic-plastic bodies, and in previous mathematical, mechanical and computational studies of unilateral problems. The salient feature of this book is to put together and develop concepts and tools for stability and bifurcation studies in mechanics, taking into account the inherent non-smoothness and non-associativity (non-symmetry) of unilateral frictional contact laws. The mechanical foundations, the mathematical theory and the computational algorithms for such studies are developed along six chapters written by the lecturers of a CISM course. Those concepts and tools are illustrated not only with enlightening academic examples but also with some demanding industrial applications, related, namely, to the automotive industry
ISBN,Price9783709125342
Keyword(s)1. CLASSICAL MECHANICS 2. Computational Intelligence 3. EBOOK 4. EBOOK - SPRINGER 5. GEOPHYSICS 6. Geophysics/Geodesy 7. MECHANICS 8. Mechanics, Applied 9. NUMERICAL ANALYSIS 10. Solid Mechanics 11. Theoretical and Applied Mechanics
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76.     
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TitleA Primer in Elasticity
Author(s)Podio-Guidugli, P
PublicationDordrecht, Springer Netherlands, 2000.
DescriptionX, 108 p : online resource
Abstract NoteI want to thank R. L. Fosdick, M. E. Gurtin and W. O. Williams for their detailed criticism of the manuscript. I also thank F. Davi, M. Lembo, P. Nardinocchi and M. Vianello for valuable remarks prompted by their reading of one or another of the many previous drafts, from 1988 to date. Since it has taken me so long to bring this writing to its present form, many other colleagues and students have episodically offered useful comments and caught mistakes: a list would risk to be incomplete, but I am heartily grateful to them all. Finally, I thank V. Nicotra for skillfully transforming my hand sketches into book-quality figures. P. PODIO-GUIDUGLI Roma, April 2000 Journal of Elasticity 58: 1-104,2000. 1 P. Podio-Guidugli, A Primer in Elasticity. ?? 2000 Kluwer Academic Publishers. CHAPTER I Strain 1. Deformation. Displacement Let 8 be a 3-dimensional Euclidean space, and let V be the vector space associated with 8. We distinguish a point p E 8 both from its position vector p(p):= (p-o) E V with respect to a chosen origin 0 E 8 and from any triplet (~1, ~2, ~3) E R3 of coordinates that we may use to label p. Moreover, we endow V with the usual inner product structure, and orient it in one of the two possible manners. It then makes sense to consider the inner product a
ISBN,Price9789401705943
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. CLASSICAL MECHANICS 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MATHEMATICS 7. Mathematical Modeling and Industrial Mathematics 8. MATHEMATICAL MODELS 9. MECHANICS 10. Mechanics, Applied 11. Solid Mechanics
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77.     
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TitleContinuum Mechanics and Applications in Geophysics and the Environment
Author(s)Straughan, Brian;Greve, Ralf;Ehrentraut, Harald;Wang, Yongqi
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2001.
DescriptionXIII, 394 p : online resource
Abstract NoteThis topical volume reviews applications of continuum mechanics to systems in geophysics and the environment. Part of the text is devoted to numerical simulations and modeling. The topics covered include soil mechanics and porous media, glacier and ice dynamics, climatology and lake physics, climate change as well as numerical algorithms. The book, written by well-known experts, addresses researchers and students interested in physical aspects of our environment
ISBN,Price9783662044391
Keyword(s)1. CLASSICAL MECHANICS 2. EARTH SCIENCES 3. Earth Sciences, general 4. EBOOK 5. EBOOK - SPRINGER 6. Environmental monitoring 7. GEOPHYSICS 8. Geophysics/Geodesy 9. MECHANICS 10. Mechanics, Applied 11. Monitoring/Environmental Analysis 12. Solid Mechanics
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78.     
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TitleAdvanced Mechanics of Solids
Author(s)Bruhns, Otto T
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2003.
DescriptionXII, 206 p : online resource
Abstract NoteMechanics, and in particular, the mechanics of solids, forms the basis of all engi?? neering sciences. It provides the essential foundations for understanding the action of forces on bodies, and the effects of these forces on the straining of the body on the one hand, and on the deformation and motion of the body on the other. Thus, it provides the solutions of many problems with which the would-be engineer is going to be confronted with on a daily basis. In addition, in engineering studies, mechanics has a more vital importance, which many students appreciate only much later. Because of its clear, and analyt?? ical setup, it aids the student to a great extent in acquiring the necessary degree of abstraction ability, and logical thinking, skills without which no engineer in the practice today would succeed. Many graduates have confirmed to me that learning mechanics is generally per?? ceived as difficult. On the other hand, they always also declared that the preoccu?? pation with mechanics made an essential contribution to their successful education. Besides, as far as my experience goes, this success does not depend very much on the inclusion of special chapters, or the knowledge of particular formulae. Rather, it is important that to a sufficient degree, one has learned how to logically describe a given physical phenomenon, starting from the preconditions. And that from this description one can derive rules for related phenomena, and also rules for layout design, for dimensioning, etc. similarly supported structures
ISBN,Price9783662052716
Keyword(s)1. CLASSICAL MECHANICS 2. EBOOK 3. EBOOK - SPRINGER 4. MATERIALS SCIENCE 5. Materials Science, general 6. MECHANICS 7. Mechanics, Applied 8. Solid Mechanics
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79.     
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TitleRubber and Rubber Balloons : Paradigms of Thermodynamics
Author(s)M??ller, Ingo;Strehlow, Peter
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2004.
DescriptionVII, 123 p : online resource
Abstract NoteExperiments with rubber balloons and rubber sheets have led to surprising observations, some of them hitherto unknown or not previously described in the literature. In balloons, these phenomena are due to the non-monotonic pressure-radius characteristic which makes balloons a subject of interest to physicists engaged in stability studies. Here is a situation in which symmetry breaking and hysteresis may be studied analytically, because the stress-stretch relations of rubber - and its non-convex free energy - can be determined explicitly from the kinetic theory of rubber and from non-linear elasticity. Since rubber elasticity and the elasticity of gases are both entropy-induced, a rubber balloon represents a compromise between the entropic tendency of a gas to expand and the entropic tendency of rubber to contract. Thus rubber and rubber balloons furnish instructive paradigms of thermodynamics. This monograph treats the subject at a level appropriate for post-graduate studies
ISBN,Price9783540452232
Keyword(s)1. Amorphous substances 2. Classical and Continuum Physics 3. Complex fluids 4. Continuum physics 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING 8. Engineering, general 9. MECHANICS 10. Mechanics, Applied 11. Soft and Granular Matter, Complex Fluids and Microfluidics 12. Solid Mechanics
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80.    
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TitleHigh-Pressure Shock Compression of Solids VI : Old Paradigms and New Challenges
Author(s)Horie, Yasuyuki;Davison, Lee;Thadani, Naresh
PublicationNew York, NY, Springer New York, 2003.
DescriptionXIV, 351 p : online resource
Abstract NoteBoth experimental and theoretical investigations make it clear that mesoscale materials, that is, materials at scales intermediate between atomic and bulk matter, do not always behave in ways predicted by conventional theories of shock compression. At these scales, shock waves interact with local material properties and microstructure to produce a hierarchy of dissipative structures such as inelastic deformation fields, randomly distributed lattice defects, and residual stresses. A macroscopically steady planar shock wave is neither plane nor steady at the mesoscale. The chapters in this book examine the assumptions underlying our understanding of shock phenomena and present new measurements, calculations, and theories that challenge these assumptions. They address such questions as: - What are the experimental data on mesoscale effects of shocks, and what are the implications? - Can one formulate new mesoscale theories of shock dynamics? - How would new mesoscale theories affect our understanding of shock-induced phase transitions or fracture? - What new computational models will be needed for investigating mesoscale shocks?
ISBN,Price9781461300137
Keyword(s)1. Characterization and Evaluation of Materials 2. CONDENSED MATTER 3. CONDENSED MATTER PHYSICS 4. EBOOK 5. EBOOK - SPRINGER 6. MATERIALS SCIENCE 7. MECHANICS 8. Mechanics, Applied 9. MICROSCOPY 10. Solid Mechanics 11. SOLID STATE PHYSICS 12. SPECTROSCOPY 13. Spectroscopy and Microscopy
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