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1 ??chsner, Andreas Plane Finite Elements for Two-Dimensional Problems I11938 2021 eBook  
2 Bedford, Anthony Hamilton???s Principle in Continuum Mechanics I11933 2021 eBook  
3 Meshcheryakov, Yurii Multiscale Mechanics of Shock Wave Processes I11847 2021 eBook  
4 ??chsner, Andreas Classical Beam Theories of Structural Mechanics I11828 2021 eBook  
5 Altenbach, Holm Nonlinear Mechanics of Complex Structures I11768 2021 eBook  
6 Ranz, Thomas Linear Elasticity of Elastic Circular Inclusions Part 2/Lineare Elastizit??tstheorie bei kreisrunden elastischen Einschl??ssen T I11752 2021 eBook  
7 Steinmann, Paul The Catalogue of Computational Material Models I11726 2021 eBook  
8 ??chsner, Andreas Structural Mechanics with a Pen I11721 2021 eBook  
9 Grigoriu, Mircea D Linear Dynamical Systems I11716 2021 eBook  
10 Prunty, Se??n Introduction to Simple Shock Waves in Air I11713 2021 eBook  
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TitlePlane Finite Elements for Two-Dimensional Problems : Application of the Computer Algebra System Maxima
Author(s)??chsner, Andreas;Makvandi, Resam
PublicationCham, Springer International Publishing, 2021.
DescriptionXIII, 248 p. 51 illus., 30 illus. in color : online resource
Abstract NoteThis book is intended as a study aid for the finite element method. Based on the free computer algebra system Maxima, we offer routines to symbolically or numerically solve problems from the context of two-dimensional problems. For this rather advanced topic, classical ???hand calculations??? are difficult to perform and the incorporation of a computer algebra system is a convenient approach to handle, for example, larger matrix operations. The mechanical theories focus on the classical two-dimensional structural elements, i.e., plane elements, thin or classical plates, and thick or shear deformable plate elements. The use of a computer algebra system and the incorporated functions, e.g., for matrix operations, allows to focus more on the methodology of the finite element method and not on standard procedures. Furthermore, we offer a graphical user interface (GUI) to facilitate the model definition. Thus, the user may enter the required definitions in a source code manner directly in wxMaxima or use the GUI which is able to execute wxMaxime to perform the calculations
ISBN,Price9783030895501
Keyword(s)1. Computer Modelling 2. Computer science???Mathematics 3. COMPUTER SIMULATION 4. CONTINUUM MECHANICS 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MECHANICS 8. Mechanics, Applied 9. NUMERICAL ANALYSIS 10. Symbolic and Algebraic Manipulation
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TitleHamilton???s Principle in Continuum Mechanics
Author(s)Bedford, Anthony
PublicationCham, Springer International Publishing, 2021.
DescriptionXIV, 104 p. 16 illus : online resource
Abstract NoteThis revised, updated edition provides a comprehensive and rigorous description of the application of Hamilton???s principle to continuous media. To introduce terminology and initial concepts, it begins with what is called the first problem of the calculus of variations. For both historical and pedagogical reasons, it first discusses the application of the principle to systems of particles, including conservative and non-conservative systems and systems with constraints. The foundations of mechanics of continua are introduced in the context of inner product spaces. With this basis, the application of Hamilton???s principle to the classical theories of fluid and solid mechanics are covered. Then recent developments are described, including materials with microstructure, mixtures, and continua with singular surfaces. Presents a comprehensive, rigorous description of the application of Hamilton???s principle to continuous media; Includes recent applications of the principle to continua with microstructure, mixtures, and media with surfaces of discontinuity; Discusses foundations of continuum mechanics and variational methods therein in the context of linear vector spaces
ISBN,Price9783030903060
Keyword(s)1. ALGEBRA 2. CALCULUS OF VARIATIONS 3. Calculus of Variations and Optimization 4. Classical and Continuum Physics 5. CONTINUUM MECHANICS 6. EBOOK 7. EBOOK - SPRINGER 8. ENGINEERING MECHANICS 9. MATHEMATICAL OPTIMIZATION 10. MATHEMATICAL PHYSICS 11. Mechanics, Applied 12. PHYSICS
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TitleMultiscale Mechanics of Shock Wave Processes
Author(s)Meshcheryakov, Yurii
PublicationSingapore, Springer Nature Singapore, 2021.
DescriptionXII, 192 p. 92 illus., 31 illus. in color : online resource
Abstract NoteThis book presents theoretical and experimental investigations of mechanical behavior of solids under shock loading and highlights a multi-scale exchange process of energy and momentum between meso and macroscopic hierarchy. It also widely covers experimental approaches for the multi-scale response of solids to impacts including uniaxial strain conditions and high-velocity penetration processes. The content comprises two parts. The first part overviews modeling and theory of dynamically deformed solids from the multi-scale point of view. The second part describes experimental characterization of shock-induced solids and experimental probing of mesostructured and mesoscale dynamic processes in solids. The theory presented in the first part is then verified as it is compared with i) experiments of shock loading into different kinds of solids and ii) probed microstructure of post-shocked specimens by scanning electron microscopy, transmission electron microscopy and optical microscopy. The text is written on the basis of author???s lectures at universities and thus is concisely described for postgraduate students. It is also useful for researchers who work on the theory of multi-scale mechanics of solids and engineers who work on testing materials under dynamic loading
ISBN,Price9789811645303
Keyword(s)1. Acoustical engineering 2. CONDENSED MATTER 3. CONTINUUM MECHANICS 4. EBOOK 5. EBOOK - SPRINGER 6. Engineering Acoustics
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TitleClassical Beam Theories of Structural Mechanics
Author(s)??chsner, Andreas
PublicationCham, Springer International Publishing, 2021.
DescriptionXIII, 186 p. 160 illus., 70 illus. in color : online resource
Abstract NoteThis book provides a systematic and thorough overview of the classical bending members based on the theory for thin beams (shear-rigid) according to Euler-Bernoulli, and the theories for thick beams (shear-flexible) according to Timoshenko and Levinson. The understanding of basic, i.e., one-dimensional structural members, is essential in applied mechanics. A systematic and thorough introduction to the theoretical concepts for one-dimensional members keeps the requirements on engineering mathematics quite low, and allows for a simpler transfer to higher-order structural members. The new approach in this textbook is that it treats single-plane bending in the x-y plane as well in the x-z plane equivalently and applies them to the case of unsymmetrical bending. The fundamental understanding of these one-dimensional members allows a simpler understanding of thin and thick plate bending members. Partial differential equations lay the foundation to mathematically describe the mechanical behavior of all classical structural members known in engineering mechanics. Based on the three basic equations of continuum mechanics, i.e., the kinematics relationship, the constitutive law, and the equilibrium equation, these partial differential equations that describe the physical problem can be derived. Nevertheless, the fundamental knowledge from the first years of engineering education, i.e., higher mathematics, physics, materials science, applied mechanics, design, and programming skills, might be required to master this topic
ISBN,Price9783030760359
Keyword(s)1. CONTINUUM MECHANICS 2. DIFFERENTIAL EQUATIONS 3. EBOOK 4. EBOOK - SPRINGER 5. Mechanics, Applied 6. Solid Mechanics 7. SOLIDS
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TitleNonlinear Mechanics of Complex Structures : From Theory to Engineering Applications
Author(s)Altenbach, Holm;Amabili, Marco;Mikhlin, Yuri V
PublicationCham, Springer International Publishing, 2021.
DescriptionXXIX, 469 p. 261 illus., 198 illus. in color : online resource
Abstract NoteThis book covers different topics of nonlinear mechanics in complex structures, such as the appearance of new nonlinear phenomena and the behavior of finite-dimensional and distributed nonlinear systems, including numerous systems directly connected with important technological problems
ISBN,Price9783030758905
Keyword(s)1. CONTINUUM MECHANICS 2. EBOOK 3. EBOOK - SPRINGER 4. Mechanics, Applied 5. Solid Mechanics 6. SOLIDS
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TitleLinear Elasticity of Elastic Circular Inclusions Part 2/Lineare Elastizit??tstheorie bei kreisrunden elastischen Einschl??ssen Teil 2
Author(s)Ranz, Thomas
PublicationCham, Springer International Publishing, 2021.
DescriptionXVII, 100 p. 43 illus : online resource
Abstract NoteThis revised, new edition presents the real analytic solutions for the ???Disc with Circular Inclusion??? under normal- and shear force at plane-strain state. The associated solution process, which was developed according to the principle of statically indeterminate systems, is documented extensively. The solutions are given in terms of mechanical quantities (deformations, strains and stresses). Due to the superposition of the solutions for normal force in x- and y-direction and shear force the plane strain-stress relation can be formulated. The validation of the real analytic solutions is carried out by numeric FEM solution results. Comparing the results of the finite and infinite disc there is, however, a very high correspondence of all mechanical quantities. Therefore it can be assumed the real analytical solutions are the exact solutions
ISBN,Price9783030723972
Keyword(s)1. CONTINUUM MECHANICS 2. EBOOK 3. EBOOK - SPRINGER 4. MATERIALS SCIENCE
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TitleThe Catalogue of Computational Material Models : Basic Geometrically Linear Models in 1D
Author(s)Steinmann, Paul;Runesson, Kenneth
PublicationCham, Springer International Publishing, 2021.
DescriptionXII, 402 p. 187 illus : online resource
Abstract NoteThis book gives a comprehensive account of the formulation and computational treatment of basic geometrically linear models in 1D. To set the stage, it assembles some preliminaries regarding necessary modelling, computational and mathematical tools. Thereafter, the remaining parts are concerned with the actual catalogue of computational material models. To this end, after starting out with elasticity as a reference, further 15 different basic variants of material models (5 x each of {visco-elasticity, plasticity, visco-plasticity}, respectively) are systematically explored. The presentation for each of these basic material models is a stand-alone account and follows in each case the same structure. On the one hand, this allows, in the true sense of a catalogue, to consult each of the basic material models separately without the need to refer to other basic material models. On the other hand, even though this somewhat repetitious concept may seem tedious, it allows to compare the formulation and resulting algorithmic setting of the various basic material models and thereby to uncover, in detail, similarities and differences. In particular, the response of each basic material model is analysed for the identical histories (Zig-Zag, Sine, Ramp) of prescribed strain and stress so as to clearly showcase and to contrast to each other the characteristics of the various modelling options
ISBN,Price9783030636845
Keyword(s)1. CONTINUUM MECHANICS 2. EBOOK 3. EBOOK - SPRINGER 4. RHEOLOGY
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8.     
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TitleStructural Mechanics with a Pen : A Guide to Solve Finite Difference Problems
Author(s)??chsner, Andreas
PublicationCham, Springer International Publishing, 2021.
DescriptionXV, 160 p. 152 illus., 105 illus. in color : online resource
Abstract NoteThis book is focused on the introduction of the finite difference method based on the classical one-dimensional structural members, i.e., rods/bars and beams. It is the goal to provide a first introduction to the manifold aspects of the finite difference method and to enable the reader to get a methodical understanding of important subject areas in structural mechanics. The reader learns to understand the assumptions and derivations of different structural members. Furthermore, she/he learns to critically evaluate possibilities and limitations of the finite difference method. Additional comprehensive mathematical descriptions, which solely result from advanced illustrations for two- or three-dimensional problems, are omitted. Hence, the mathematical description largely remains simple and clear
ISBN,Price9783030658922
Keyword(s)1. Computational Mathematics and Numerical Analysis 2. CONTINUUM MECHANICS 3. EBOOK 4. EBOOK - SPRINGER 5. Mathematics???Data processing 6. Mechanics, Applied 7. Solid Mechanics 8. SOLIDS
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9.     
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TitleLinear Dynamical Systems
Author(s)Grigoriu, Mircea D
PublicationCham, Springer International Publishing, 2021.
DescriptionIX, 153 p. 40 illus., 24 illus. in color : online resource
Abstract NoteThis textbook provides a concise, clear, and rigorous presentation of the dynamics of linear systems that delivers the necessary tools for the analysis and design of mechanical/ structural systems, regardless of their complexity. The book is written for senior undergraduate and first year graduate students as well as engineers working on the design of mechanical/structural systems subjected to dynamic actions, such as wind/earthquake engineers and mechanical engineers working on wind turbines. Professor Grigoriu's lucid presentation maximizes student understanding of the formulation and the solution of linear systems subjected to dynamic actions, and provides a clear distinction between problems of practical interest and their special cases. Based on the author's lecture notes from courses taught at Cornell University, the material is class-tested over many years and ideal as a core text for a range of classes in mechanical, civil, and geotechnical engineering, as well as for self-directed learning by practitioners in the field. Follows a coherent introduction of topics from the physics, constitutive equations, and general formulations and solutions of problems of practical interest through special cases of these problems obtained by specializing general results Adopts a top-down approach enabling a compact book that covers all relevant topics on the dynamics of linear systems, where special cases of problems of practical interest cannot be interpreted as new problems which require different solutions Reinforces readers' grasp of theoretical considerations with numerical illustrations Includes less familiar mathematical tools used in some derivations in appendices Treats solution of finite dimensional/continuous systems as elements of the vector spaces spanned by the eigenvectors/eigenfunctions corresponding to the system mechanical properties
ISBN,Price9783030645526
Keyword(s)1. Applied Dynamical Systems 2. CONTINUUM MECHANICS 3. DYNAMICAL SYSTEMS 4. DYNAMICS 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MECHANICS 8. Linear Models and Regression 9. Mechanics, Applied 10. NONLINEAR THEORIES 11. REGRESSION ANALYSIS
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10.    
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TitleIntroduction to Simple Shock Waves in Air : With Numerical Solutions Using Artificial Viscosity
Author(s)Prunty, Se??n
PublicationCham, Springer International Publishing, 2021.
DescriptionXV, 344 p. 164 illus., 5 illus. in color : online resource
Abstract NoteThis book provides an elementary introduction to one-dimensional fluid flow problems involving shock waves in air. The differential equations of fluid flow are approximated by finite difference equations and these in turn are numerically integrated in a stepwise manner, with artificial viscosity introduced into the numerical calculations in order to deal with shocks. This treatment of the subject is focused on the finite-difference approach to solve the coupled differential equations of fluid flow and presents the results arising from the numerical solution using Mathcad programming. Both plane and spherical shock waves are discussed with particular emphasis on very strong explosive shocks in air. This expanded second edition features substantial new material on sound wave parameters, Riemann's method for numerical integration of the equations of motion, approximate analytical expressions for weak shock waves, short duration piston motion, numerical results for shock wave interactions, and new appendices on the piston withdrawal problem and numerical results for a closed shock tube. This text will appeal to students, researchers, and professionals in shock wave research and related fields. Students in particular will appreciate the benefits of numerical methods in fluid mechanics and the level of presentation
ISBN,Price9783030636067
Keyword(s)1. Computational Physics and Simulations 2. COMPUTER SIMULATION 3. CONTINUUM MECHANICS 4. EBOOK 5. EBOOK - SPRINGER 6. Engineering Fluid Dynamics 7. FLUID MECHANICS 8. FLUIDS 9. MATHEMATICAL PHYSICS 10. NUMERICAL ANALYSIS 11. Soft condensed matter
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