Tensor Calculus With Object Oriented Matrices For Numerical Methods In Mechanics And Engineering
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Tensor Calculus With Object Oriented Matrices For Numerical Methods In Mechanics And Engineering
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Author : Udo F. Meissner
language : en
Publisher: Springer Nature
Release Date : 2024-10-18
Tensor Calculus With Object Oriented Matrices For Numerical Methods In Mechanics And Engineering written by Udo F. Meissner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-18 with Technology & Engineering categories.
The intension of the book is to synthesize classical matrix and tensor methods with object-oriented software techniques and efficient matrix methods for numerical algorithms. The aim is to establish a coherent methodological framework through which the tensor-based modeling of physical phenomena can be seamlessly applied in numerical algorithms without encountering methodological inconsistencies across different sub-areas, like indexed notation of tensors and two- dimensional matrix algebra in symbolic notation. The key to an effective solution lies in object-oriented numerical structures and software design. The author presents a coherent integration of tensor-based theory through multi-dimensional matrix calculus to object-oriented numeric classes and methods for adequate simulations. The index-based tensor and matrix notation and the object-oriented overloading of standard operators in C++ offers an innovative means to define comparable matrix operations for processing matrix objects of higher order. Typical applications demonstrate the advantages of this unique integration.
Tensorkalk L Mit Objektorientierten Matrizen F R Numerische Methoden In Mechanik Und Ingenieurwissenschaften
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Author : Udo F. Meißner
language : de
Publisher: Springer-Verlag
Release Date : 2024-05-29
Tensorkalk L Mit Objektorientierten Matrizen F R Numerische Methoden In Mechanik Und Ingenieurwissenschaften written by Udo F. Meißner and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-29 with Technology & Engineering categories.
Die Intention des Buches ist es, für numerische Algorithmen zur Analyse von Tragstrukturen eine Synthese von klassischen Matrizen- und Tensor-Methoden einerseits und von moderner Software-Technologie andererseits auf der Basis von objektorientierten Methoden zu vollziehen. Dafür wird ein durchgängiges Methodenkonzept bereitgestellt, mit dem die theoretischen Modellierungsgrundlagen nahtlos in numerische Berechnungen umgesetzt werden können, um methodische Brüche in Teilbereichen zu überwinden. Der Schlüssel dazu liegt in der Umsetzung des objektorientierten Paradigmas bei der Modellierung der mechanisch/numerischen Strukturen und beim Entwurf von Klassen, welches inzwischen im Ingenieurwesen hinlänglich untersucht und in der Software-Entwicklung weit verbreitet ist. Als innovativer Ansatz wird den entworfenen Methoden die indexbasierte Tensor- und Matrizen-Notation zugrunde gelegt, um gleichartige Operationen mit überladenen Standardoperatoren in C++ für Tensoren und Matrizen höherer Stufe ausführen zu können. Exemplarische Anwendungen und prototypische Programme zeigen den Vorteil dieser integrativen Vorgehensweise.
Multiphysics Modeling Numerical Methods And Engineering Applications
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Author : Qun Zhang
language : en
Publisher: Elsevier
Release Date : 2015-12-15
Multiphysics Modeling Numerical Methods And Engineering Applications written by Qun Zhang and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-15 with Technology & Engineering categories.
Multiphysics Modeling: Numerical Methods and Engineering Applications: Tsinghua University Press Computational Mechanics Series describes the basic principles and methods for multiphysics modeling, covering related areas of physics such as structure mechanics, fluid dynamics, heat transfer, electromagnetic field, and noise. The book provides the latest information on basic numerical methods, also considering coupled problems spanning fluid-solid interaction, thermal-stress coupling, fluid-solid-thermal coupling, electromagnetic solid thermal fluid coupling, and structure-noise coupling. Users will find a comprehensive book that covers background theory, algorithms, key technologies, and applications for each coupling method. - Presents a wealth of multiphysics modeling methods, issues, and worked examples in a single volume - Provides a go-to resource for coupling and multiphysics problems - Covers the multiphysics details not touched upon in broader numerical methods references, including load transfer between physics, element level strong coupling, and interface strong coupling, amongst others - Discusses practical applications throughout and tackles real-life multiphysics problems across areas such as automotive, aerospace, and biomedical engineering
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1974
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mechanics, Applied categories.
Introduction To Computational Earthquake Engineering
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Author : Muneo Hori
language : en
Publisher: Imperial College Press
Release Date : 2006
Introduction To Computational Earthquake Engineering written by Muneo Hori and has been published by Imperial College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Science categories.
This book introduces new research topics in earthquake engineering through the application of computational mechanics and computer science. The topics covered discuss the evaluation of earthquake hazards such as strong ground motion and faulting through applying advanced numerical analysis methods, useful for estimating earthquake disasters. These methods, based on recent progress in solid continuum mechanics and computational mechanics, are summarized comprehensively for graduate students and researchers in earthquake engineering. The coverage includes stochastic modeling as well as several advanced computational earthquake engineering topics. Contents: Preliminaries: Solid Continuum Mechanics; Finite Element Method; Stochastic Modeling; Strong Ground Motion: The Wave Equation for Solids; Analysis of Strong Ground Motion; Simulation of Strong Ground Motion; Faulting: Elasto-Plasticity and Fracture Mechanics; Analysis of Faulting; Simulation of Faulting; BEM Simulation of Faulting; Advanced Topics: Integrated Earthquake Simulation; Unified Visualization of Earthquake Simulation; Standardization of Earthquake Resistant Design; Appendices: Earthquake Mechanisms; Analytical Mechanics; Numerical Techniques of Solving Wave Equation; Unified Modeling Language. Key Features Includes a detailed treatment of modeling of uncertain ground structures, such as stochastic modeling Explains several key numerical algorithms and techniques for solving large-scale, non-linear and dynamic problems Presents applications of methods for simulating actual strong ground motion and faulting Readership: Graduate students and researchers in earthquake engineering; researchers in computational mechanics and computer science.
Introduction To Computational Earthquake Engineering Third Edition
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Author : Muneo Hori
language : en
Publisher: World Scientific
Release Date : 2018-06-14
Introduction To Computational Earthquake Engineering Third Edition written by Muneo Hori and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-14 with Technology & Engineering categories.
This book provides rigorous foundations of applying modern computational mechanics to earthquake engineering. The scope covers the numerical analysis of earthquake wave propagation processes and the faulting processes, and also presents the most advanced numerical simulations of earthquake hazards and disasters that can take place in an urban area.Two new chapters included are advanced topics on high performance computing and for constructing an analysis model.This is the first book in earthquake engineering that explains the application of modern numerical computation (which includes high performance computing) to various engineering seismology problems.
Computational And Experimental Simulations In Engineering
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Author : Kun Zhou
language : en
Publisher: Springer Nature
Release Date : 2025-03-17
Computational And Experimental Simulations In Engineering written by Kun Zhou and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-17 with Technology & Engineering categories.
This book gathers the latest advances, innovations, and applications in the field of computational engineering, as presented by leading international researchers and engineers at the 30th International Conference on Computational & Experimental Engineering and Sciences (ICCES), held in Singapore on August 3–6, 2024. ICCES covers all aspects of applied sciences and engineering: theoretical, analytical, computational, and experimental studies and solutions of problems in the physical, chemical, biological, mechanical, electrical, and mathematical sciences. As such, the book discusses highly diverse topics, including composites; bioengineering and biomechanics; geotechnical engineering; offshore and arctic engineering; multi-scale and multi-physics fluid engineering; structural integrity and longevity; materials design and simulation; and computer modeling methods in engineering. The contributions, which were selected by means of a rigorous international peer-review process, highlight numerous exciting ideas that will spur novel research directions and foster multidisciplinary collaborations.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1994
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Aeronautics categories.
Computational Solid Mechanics
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Author : Marco L. Bittencourt
language : en
Publisher: CRC Press
Release Date : 2014-09-19
Computational Solid Mechanics written by Marco L. Bittencourt and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-19 with Science categories.
Presents a Systematic Approach for Modeling Mechanical Models Using Variational Formulation—Uses Real-World Examples and Applications of Mechanical Models Utilizing material developed in a classroom setting and tested over a 12-year period, Computational Solid Mechanics: Variational Formulation and High-Order Approximation details an approach that establishes a logical sequence for the treatment of any mechanical problem. Incorporating variational formulation based on the principle of virtual work, this text considers various aspects of mechanical models, explores analytical mechanics and their variational principles, and presents model approximations using the finite element method. It introduces the basics of mechanics for one-, two-, and three-dimensional models, emphasizes the simplification aspects required in their formulation, and provides relevant applications. Introduces Approximation Concepts Gradually throughout the Chapters Organized into ten chapters, this text provides a clear separation of formulation and finite element approximation. It details standard procedures to formulate and approximate models, while at the same time illustrating their application via software. Chapter one provides a general introduction to variational formulation and an overview of the mechanical models to be presented in the other chapters. Chapter two uses the concepts on equilibrium that readers should have to introduce basic notions on kinematics, duality, virtual work, and the PVW. Chapters three to ten present mechanical models, approximation and applications to bars, shafts, beams, beams with shear, general two- and three-dimensional beams, solids, plane models, and generic torsion and plates. Learn Theory Step by Step In each chapter, the material profiles all aspects of a specific mechanical model, and uses the same sequence of steps for all models. The steps include kinematics, strain, rigid body deformation, internal loads, external loads, equilibrium, constitutive equations, and structural design. The text uses MATLAB® scripts to calculate analytic and approximated solutions of the considered mechanical models. Computational Solid Mechanics: Variational Formulation and High Order Approximation presents mechanical models, their main hypothesis, and applications, and is intended for graduate and undergraduate engineering students taking courses in solid mechanics.
Dissertation Abstracts International
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Author :
language : en
Publisher:
Release Date : 2009
Dissertation Abstracts International written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Dissertations, Academic categories.