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1 Altenbach, Holm State of the Art and Future Trends in Materials Modelling 2 I13197 2024 eBook  
2 ??chsner, Andreas A Numerical Approach to the Micromechanics of Fibre-Reinforced Laminae I13184 2024 eBook  
3 Benenti, Sergio Mathematical Foundations and Numerical Analysis of the Dynamics of an Isotropic Universe I13109 2024 eBook  
4 Soto-Eguibar, Francisco The Matrix Perturbation Method in Quantum Mechanics I12928 2023 eBook  
5 K??????ek, Michal Mathematical Aspects of Paradoxes in Cosmology I12788 2023 eBook  
6 Vasyuk, V. L Digital Information Methods of Polarization, Mueller-Matrix and Fluorescent Microscopy I12759 2023 eBook  
7 Jaiman, Rajeev Mechanics of Flow-Induced Vibration I12730 2023 eBook  
8 Korobeynikov, Sergey Objective Algorithms for Integrating Hypoelastic Constitutive Relations Based on Corotational Stress Rates I12626 2023 eBook  
9 Abdul Karim, Samsul Ariffin Proceedings of the 6th International Conference on Fundamental and Applied Sciences I11953 2021 eBook  
10 ??chsner, Andreas Plane Finite Elements for Two-Dimensional Problems I11938 2021 eBook  
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TitleState of the Art and Future Trends in Materials Modelling 2
Author(s)Altenbach, Holm;??chsner, Andreas
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionXXX, 634 p. 283 illus., 215 illus. in color : online resource
Abstract NoteThis volume illuminates exciting new developments and approaches of classical mechanical problems. The ongoing necessity for research in this field stems from the need for new engineering solutions that save our resources and supplies sustainability standards as well as further considerations such as recyclability and environmental compatibility. These demands stimulate the special design of materials, e.g. composites. The interaction between materials and structures is related to different length scales and the combination of micro-, meso- or macroscale approaches results in new application possibilities. In addition, materials and structures are increasingly being analyzed under the influence of various physical fields
ISBN,Price9783031729003
Keyword(s)1. Computational Materials Science 2. CONTINUUM MECHANICS 3. EBOOK 4. EBOOK - SPRINGER 5. MATERIALS SCIENCE 6. NUMERICAL ANALYSIS
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TitleA Numerical Approach to the Micromechanics of Fibre-Reinforced Laminae : The Micromechanics Analysis Tool???MMAT v1.0
Author(s)??chsner, Andreas;Makvandi, Resam
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionXII, 98 p. 48 illus., 39 illus. in color : online resource
Abstract NoteThis book treats the micromechanics of laminae, i.e., the prediction of the macroscopic mechanical lamina properties based on the mechanical properties of the constituents, i.e., fibers and matrix. The focus is on unidirectional lamina which can be described based on orthotropic constitutive equations. In detail, predictions for the modulus of elasticity in and transverse to the fiber direction, the major Poisson???s ratio, as wells as the in-plane shear modulus are provided. The mechanics of materials approach, the elasticity solutions with contiguity after Tsai, and the Halpin-Tsai relationships, are presented in detail. Composite materials, especially fiber-reinforced composites, are gaining increasing importance since they can overcome the limits of many structures based on classical engineering materials. Particularly the combination of a matrix with fibers provides far better properties than the single constituents alone. A typical basic layer, the so-called lamina, can be composed of unidirectional fibers which are embedded in a matrix. In a second step, layers of laminae may be stacked under different fiber angles to a so-called laminate, which reveals???depending on the stacking sequence???different types of anisotropy/isotropy. A Python-based computational tool is provided, the so-called Micromechanics Analysis Tool (MMAT v1.0) to easily predict the elastic properties. The tool runs in any standard web browser and offers a user-friendly interface with many graphical representations of the elastic properties as a function of the fiber volume fraction
ISBN,Price9783031674884
Keyword(s)1. Computational Materials Science 2. CONTINUUM MECHANICS 3. EBOOK 4. EBOOK - SPRINGER 5. MATERIALS SCIENCE 6. Mechanics, Applied 7. NUMERICAL ANALYSIS 8. Solid Mechanics 9. SOLIDS
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TitleMathematical Foundations and Numerical Analysis of the Dynamics of an Isotropic Universe
Author(s)Benenti, Sergio
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionXXI, 143 p. 63 illus., 56 illus. in color : online resource
Abstract NoteThis book is an enhanced and expanded English edition of the treatise ???Fondamenti matematici e analisi numerica della dinamica di un Universo isotropo,??? published by the Accademia delle Scienze di Torino in volume no. 42-43, 2018-2019. The book summarizes some of the principal ???ndings from a long-term cosmology research project, aiming to clarify signi???cant results through clear mathematical postulates. Despite efforts, a single mathematical model accurately describing the universe???s evolution remains elusive due to early universe complexity and numerous observational parameters. Over the past century, various models have been proposed and discarded, illustrated by debates on the cosmological constant and spatial curvature assumptions. Currently, many models lack clear foundations, causing confusion in the ???eld. Standard cosmological approaches rely on principles like Weyl???s principle, homogeneity, and isotropy, but may overlook discerning purely geometrical properties from those dependent on ???eld equations. This book aims to bring order to cosmology by starting from understandable mathematical postulates, leading to theorems. Disagreements on postulates can prompt adjustments or alternative approaches. Physics often consists of deductive theories lacking explicit delineation of underlying concepts and postulates, a criticism relevant to cosmological theories. Despite a late 1990s consensus on the Lambda cold dark matter model, the absence of a logical-deductive structure in literature complicates understanding, leading some to humorously dub it the ???expanding Universe and expanding confusion.???
ISBN,Price9783031640339
Keyword(s)1. COSMOLOGY 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. GEOMETRY 6. MATHEMATICAL PHYSICS 7. NUMERICAL ANALYSIS 8. Theoretical, Mathematical and Computational Physics
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TitleThe Matrix Perturbation Method in Quantum Mechanics
Author(s)Soto-Eguibar, Francisco;Villegas-Mart??nez, Braulio Misael;Moya-Cessa, H??ctor Manuel
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2023.
DescriptionXV, 190 p. 39 illus., 34 illus. in color : online resource
Abstract NoteThis book provides an alternative approach to time-independent perturbation theory in non-relativistic quantum mechanics. It allows easy application to any initial condition because it is based on an approximation to the evolution operator and may also be used on unitary evolution operators for the unperturbed Hamiltonian in the case where the eigenvalues cannot be found. This flexibility sets it apart from conventional perturbation theory. The matrix perturbation method also gives new theoretical insights; for example, it provides corrections to the energy and wave function in one operation. Another notable highlight is the facility to readily derive a general expression for the normalization constant at m-th order, a significant difference between the approach within and those already in the literature. Another unique aspect of the matrix perturbation method is that it can be extended directly to the Lindblad master equation. The first and second-order corrections are obtained for this equation and the method is generalized for higher orders. An alternative form of the Dyson series, in matrix form instead of integral form, is also obtained. Throughout the book, several benchmark examples and practical applications underscore the potential, accuracy and good performance of this novel approach. Moreover, the method's applicability extends to some specific time-dependent Hamiltonians. This book represents a valuable addition to the literature on perturbation theory in quantum mechanics and is accessible to students and researchers alike
ISBN,Price9783031485466
Keyword(s)1. DIFFERENTIAL EQUATIONS 2. EBOOK - SPRINGER 3. Mathematical Methods in Physics 4. MATHEMATICAL PHYSICS 5. NUMERICAL ANALYSIS 6. QUANTUM OPTICS 7. QUANTUM PHYSICS
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TitleMathematical Aspects of Paradoxes in Cosmology : Can Mathematics Explain the Contemporary Cosmological Crisis?
Author(s)K??????ek, Michal;Somer, Lawrence
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2023.
DescriptionXVI, 264 p. 84 illus., 70 illus. in color : online resource
Abstract NoteThis book provides a mathematical and numerical analysis of many problems which lead to paradoxes in contemporary cosmology, in particular, the existence of dark matter and dark energy. It is shown that these hypothetical quantities arise from excessive extrapolations of simple mathematical models to the whole physical universe. Written in a completely different style to most books on General Relativity and cosmology, the important results take the form of mathematical theorems with precise assumptions and statements. All theorems are followed by a corresponding proof, or an exact reference to the proof. Some nonstandard topics are also covered, including violation of the causality principle in Newtonian mechanics, a critical mathematical and numerical analysis of Mercury's perihelion shift, inapplicability of Einstein's equations to the classical two-body problem due to computational complexity, non-uniqueness of the notion of universe, the topology of the universe, variousdescriptions of a hypersphere, regular tessellations of hyperbolic spaces, local Hubble expansion of the universe, neglected gravitational redshift in the detection of gravitational waves, and the possible distribution of mass inside a black hole. The book also dispels some myths appearing in the theory of relativity and in contemporary cosmology. For example, although the hidden assumption that Einstein's equations provide a good description of the evolution of the whole universe is considered to be obvious, it is just a null hypothesis which has not been verified by any experiment, and has only been postulated by excessive extrapolations of many orders of magnitude
ISBN,Price9783031317682
Keyword(s)1. ASTRONOMY 2. Astronomy, Cosmology and Space Sciences 3. EBOOK - SPRINGER 4. GRAVITATION 5. GRAVITATIONAL PHYSICS 6. MATHEMATICAL PHYSICS 7. NUMERICAL ANALYSIS
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TitleDigital Information Methods of Polarization, Mueller-Matrix and Fluorescent Microscopy : Differential Diagnosis of Aseptic and Septic Loosening of Artificial Hip Endoprosthesis Cups
Author(s)Vasyuk, V. L;Kalashnikov, Andriy V;Protsyuk, Victor V;Ushenko, Yu. A;Dubolazov, Alexander V;Ushenko, A. G;Zheng, Jun
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2023.
DescriptionXIV, 102 p. 58 illus., 48 illus. in color : online resource
Abstract NoteThis book highlights the effectiveness of differential diagnosis in the degree of severity of joint pathology from a clinical, biophysical, and informational point of view. It includes the following information blocks: ??? Two-dimensional digital polarization microscopy of polycrystalline films of synovial fluid and determination of the coordinate distributions of the orientation and phase parameters of the microscopic image from a set of parameters of the Stokes vector. ??? Mueller-matrix mapping of polycrystalline films of synovial fluid and determination of a set of coordinate distributions (Mueller-matrix images (MMI)) of azimuthal-invariant elements that characterize manifestations of optical activity and linear birefringence. ??? Development of algorithms for polarization reproduction of distributions of linear and circular birefringence of polycrystalline films of synovial fluid. ??? Identification of digital statistical, correlation and wavelet criteria of polarization and Mueller-matrix differential diagnosis of the degree of severity of joint pathology. ??? Determination of maps of laser-induced fluorescence of synovial fluid polycrystalline films. ??? Identification of statistical and correlational criteria for fluorescent differential diagnosis of the degree of severity of joint pathology. ??? Operational characteristics of the power of the methods of azimuth-invariant polarization, Mueller-matrix and laser autofluorescence microscopy of polycrystalline films of synovial fluid
ISBN,Price9789819947355
Keyword(s)1. APPLIED OPTICS 2. Biomedical engineering 3. Biomedical Engineering and Bioengineering 4. EBOOK - SPRINGER 5. Medical physics 6. MICROSCOPY 7. NUMERICAL ANALYSIS 8. OPTICAL MICROSCOPY 9. OPTICS 10. SIGNAL PROCESSING 11. Signal, Speech and Image Processing
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TitleMechanics of Flow-Induced Vibration : Physical Modeling and Control Strategies
Author(s)Jaiman, Rajeev;Li, Guojun;Chizfahm, Amir
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2023.
DescriptionXX, 1021 p. 698 illus., 491 illus. in color : online resource
Abstract NoteThis book discusses various passive and active techniques for controlling unsteady flow dynamics and associated coupled mechanics of fluid-structure interaction. Coupled multiphysics and multidomain simulations are emerging and challenging research areas, which have received significant attention during the past decade. One of the most common multiphysics and multidomain problems is fluid-structure interaction (FSI), i.e., the study of coupled physical systems involving fluid and a structure that have a mechanical influence on each other. Regardless of the application area, the investigation toward modeling of fluid-structure interaction and the underlying mechanisms in dealing with coupled fluid-structure instability with real-world applications remains a challenge to scientists and engineers. This book is designed for students and researchers who seek knowledge of computational modeling and control strategies for fluid-structure interaction. Specifically, this book provides a comprehensive review of the underlying unsteady physics and coupled mechanical aspects of the fluid-structure interaction of freely vibrating bluff bodies, the self-induced flapping of thin flexible structures, and aeroelasticity of shell structures. Understanding flow-induced loads and vibrations can lead to safer and cost-effective structures, especially for light and high-aspect ratio structures with increased flexibility and harsh environmental conditions. Using the body-fitted and moving mesh formulations, the physical insights associated with structure-to-fluid mass ratios, Reynolds number, nonlinear structural deformation, proximity interference, near-wall contacts, free-surface, and other interacting physical fields are covered in this book. In conjunction with the control techniques, data-driven model reduction approaches based on subspace projection and deep neural calculus are covered for low-dimensional modeling of unsteady fluid-structure interaction
ISBN,Price9789811985782
Keyword(s)1. Classical and Continuum Physics 2. EBOOK - SPRINGER 3. ENGINEERING 4. Engineering Fluid Dynamics 5. ENGINEERING MATHEMATICS 6. FLUID MECHANICS 7. Mathematical and Computational Engineering Applications 8. MATHEMATICAL PHYSICS 9. Mechanics, Applied 10. NUMERICAL ANALYSIS 11. PHYSICS 12. Solid Mechanics 13. SOLIDS 14. Theoretical, Mathematical and Computational Physics
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TitleObjective Algorithms for Integrating Hypoelastic Constitutive Relations Based on Corotational Stress Rates
Author(s)Korobeynikov, Sergey;Larichkin, Alexey
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2023.
DescriptionXIII, 107 p. 31 illus., 23 illus. in color : online resource
Abstract NoteThis book provides readers with a deep understanding of the use of objective algorithms for integration of constitutive relations (CRs) for Hooke-like hypoelasticity based on the use of corotational stress rates. The purpose of objective algorithms is to perform the step-by-step integration of CRs using fairly large time steps that provide high accuracy of this integration in combination with the exact reproduction of superimposed rigid body motions. Since Hooke-like hypoelasticity is included as a component in CRs for elastic-inelastic materials (e.g., in CRs for elastic-plastic materials), the scope of these algorithms is not limited to hypoelastic materials, but extends to many other materials subjected to large deformations. The authors performed a comparative analysis of the performance of most currently available objective algorithms, provided some recommendations for improving the existing formulations of these algorithms, and presented new formulations of the so-calledabsolutely objective algorithms. The proposed book will be useful for beginner researchers in the development of economical methods for integrating elastic-inelastic CRs, as well as for experienced researchers, by providing a compact overview of existing objective algorithms and new formulations of these algorithms. The book will also be useful for developers of computer codes for implementing objective algorithms in FE systems. In addition, this book will also be useful for users of commercial FE codes, since often these codes are so-called black boxes and this book shows how to test accuracy of the algorithms of these codes for integrating elastic-inelastic CRs in modeling large rotations superimposed on the uniform deformation of any sample.
ISBN,Price9783031296321
Keyword(s)1. CONTINUUM MECHANICS 2. EBOOK - SPRINGER 3. INTEGRAL EQUATIONS 4. NUMERICAL ANALYSIS
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TitleProceedings of the 6th International Conference on Fundamental and Applied Sciences : ICFAS 2020
Author(s)Abdul Karim, Samsul Ariffin;Abd Shukur, Mohd Fadhlullah;Fai Kait, Chong;Soleimani, Hassan;Sakidin, Hamzah
PublicationSingapore, Springer Nature Singapore, 2021.
DescriptionXXXI, 782 p. 338 illus., 253 illus. in color : online resource
Abstract NoteThis book highlights latest advancement in Mathematics, Physics and Chemistry. With the theme of ???Innovative Science towards Sustainability and Industrial Revolution 4.0???, ICFAS 2020 brings together leading experts, scientific communities and industrialists working in the field of applied sciences and mathematics from all over the world to share the most recent developments and cutting-edge discoveries addressing sustainability and industrial revolution 4.0 in the field. The conference topics include green materials, molecular modelling, catalysis, nanodevices and nanosystems, smart materials applications, solar cells technology, computational mathematics, data analysis and visualization, and numerical analysis. The contents of this book are useful for researchers, students, and industrial practitioners in the areas of Mathematics, Physics and Chemistry as most of the topics are in line with IR 4.0
ISBN,Price9789811645136
Keyword(s)1. COMPLEX SYSTEMS 2. EBOOK 3. EBOOK - SPRINGER 4. Green chemistry 5. Nanoelectromechanical systems 6. Nanoscale Devices 7. NUMERICAL ANALYSIS 8. SYSTEM THEORY
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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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