Green S Function And Boundary Elements Of Multifield Materials
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Green S Function And Boundary Elements Of Multifield Materials
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Author : Qing-Hua Qin
language : en
Publisher: Elsevier
Release Date : 2010-07-07
Green S Function And Boundary Elements Of Multifield Materials written by Qing-Hua Qin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-07 with Technology & Engineering categories.
Green's Function and Boundary Elements of Multifield Materials contains a comprehensive treatment of multifield materials under coupled thermal, magnetic, electric, and mechanical loads. Its easy-to-understand text clarifies some of the most advanced techniques for deriving Green's function and the related boundary element formulation of magnetoelectroelastic materials: Radon transform, potential function approach, Fourier transform. Our hope in preparing this book is to attract interested readers and researchers to a new field that continues to provide fascinating and technologically important challenges. You will benefit from the authors' thorough coverage of general principles for each topic, followed by detailed mathematical derivation and worked examples as well as tables and figures where appropriate. - In-depth explanations of the concept of Green's function - Coupled thermo-magneto-electro-elastic analysis - Detailed mathematical derivation for Green's functions
Radial Basis Function Methods For Large Scale Wave Propagation
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Author : Jun-Pu Li
language : en
Publisher: Bentham Science Publishers
Release Date : 2021-12-24
Radial Basis Function Methods For Large Scale Wave Propagation written by Jun-Pu Li and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-24 with Science categories.
This book details the development of techniques and ideas from the radial basis function. It begins with a mathematical description of the basic concept of radial function method with chapters progressively delving into the derivation and construction of radial basis functions for large-scale wave propagation problems including singularity problems, high-frequency wave problems and large-scale computation problems. This reference, written by experts in numerical analysis, demonstrates how the functions arise naturally in mathematical analyses of structures responding to external loads. Readers are also equipped with mathematical knowledge about the radial basis function for understanding key algorithms required for practical solutions. Key features: - Introduces basic concepts of radial basis function methods - Provides detailed derivations of several radial basis functions - Explains complex problems using simple language - Contains a wide range of numerical examples to demonstrate applications of relevant functions - Combines the radial basis function with other known numerical methods (boundary element methods and differential equations). - Includes references and appropriate chapter appendices - Includes MATLAB codes for origin intensity factors and nearly singular factors for radial basis calculations The book is designed to make information about radial basis function methods more accessible to research scientists, professional engineers and postgraduate students, with a specific focus on large-scale wave propagation problems.
Controllability Of Dynamic Systems
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Author : Ara S. Avetisyan
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2018-04-03
Controllability Of Dynamic Systems written by Ara S. Avetisyan and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-03 with Science categories.
The book is about the possibilities of involvement of the well-known Green’s function method in exact or approximate controllability analysis for dynamic systems. Due to existing extensions of the Green’s function notion to nonlinear systems, the approach developed here is valid for systems with both linear and nonlinear dynamics. The book offers a number of particular examples, covering specific issues that make the controllability analysis sophisticated, such as coordinate dependent characteristics, point sources, unbounded domains, higher dimensions, and specific nonlinearities. It also offers extensive numerical analysis, which reveals both advantages and drawbacks of the approach. As such, the book will be of interest to researchers interested in the theory and practice of control, as well as PhD and Master’s students.
Trefftz And Fundamental Solution Based Finite Element Methods
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Author : Qing-Hua Qin
language : en
Publisher: Bentham Science Publishers
Release Date : 2021-09-07
Trefftz And Fundamental Solution Based Finite Element Methods written by Qing-Hua Qin and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-07 with Mathematics categories.
This reference explains hybrid-Trefftz finite element method (FEM). Readers are introduced to the basic concepts and general element formulations of the method. This is followed by topics on non-homogeneous parabolic problems, thermal analysis of composites, and heat conduction in nonlinear functionally graded materials. A brief summary of the fundamental solution based-FEM is also presented followed by a discussion on axisymmetric potential problems and the rotordynamic response of tapered composites. The book is rounded by chapters that cover the n-sided polygonal hybrid finite elements and analysis of piezoelectric materials. Key Features - Systematic presentation of 9 topics - Covers FEMs in two sections: 1) hybrid-Trefftz method and 2) fundamental FEM solutions - Bibliographic references - Includes solutions to problems in the numerical analysis of different material types - Includes solutions to some problems encountered in civil engineering (seepage, heat transfer, etc). This reference is suitable for scholars involved in advanced courses in mathematics and engineering (civil engineering/materials engineering). Professionals involved in developing analytical tools for materials and construction testing can also benefit from the methods presented in the book.
Polymers Opportunities And Risks I
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Author : Peter Eyerer
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-07-31
Polymers Opportunities And Risks I written by Peter Eyerer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-31 with Technology & Engineering categories.
Since their first industrial use polymers have gained a tremendous success. The two volumes of "Polymers - Opportunities and Risks" elaborate on both their potentials and on the impact on the environment arising from their production and applications. Volume 11 "Polymers - Opportunities and Risks I: General and Environmental Aspects" is dedicated to the basics of the engineering of polymers – always with a view to possible environmental implications. Topics include: materials, processing, designing, surfaces, the utilization phase, recycling, and depositing. Volume 12 "Polymers - Opportunities and Risks II: Sustainability, Product Design and Processing" highlights raw materials and renewable polymers, sustainability, additives for manufacture and processing, melt modification, biodegradation, adhesive technologies, and solar applications. All contributions were written by leading experts with substantial practical experience in their fields. They are an invaluable source of information not only for scientists, but also for environmental managers and decision makers.
Mechanics Of Asphalt Microstructure And Micromechanics
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Author : Linbing Wang
language : en
Publisher: McGraw Hill Professional
Release Date : 2010-10-08
Mechanics Of Asphalt Microstructure And Micromechanics written by Linbing Wang and has been published by McGraw Hill Professional this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-08 with Technology & Engineering categories.
A State-of-the-Art Guide to the Mechanics of Asphalt Concrete Mechanics of Asphalt systematically covers both the fundamentals and most recent developments in applying rational mechanics, microstructure characterization methods, and numerical tools to understand the behavior of asphalt concrete (AC). The book describes the essential mathematics, mechanics, and numerical techniques required for comprehending advanced modeling and simulation of asphalt materials and asphalt pavements. Filled with detailed illustrations, this authoritative volume provides rational mechanisms to guide the development of best practices in mix design, construction methods, and performance evaluation of asphalt concrete. Mechanics of Asphalt covers: Fundamentals for mathematics and continuum mechanics Mechanical properties of constituents, including binder, aggregates, mastics, and mixtures Microstructure characterization Experimental methods to characterize the heterogeneous strain field Mixture theory and micromechanics applications Fundamentals of phenomenological models Multiscale modeling and moisture damage Models for asphalt concrete, including viscoplasticity, viscoplasticity with damage, disturbed state mechanics model, and fatigue failure criteria Finite element method, boundary element method, and discrete element method Digital specimen and digital test-integration of microstructure and simulation Simulation of asphalt compaction Characterization and modeling of anisotropic properties of asphalt concrete
Wear In Advanced Engineering Applications And Materials
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Author : Luis Rodriguez-tembleque
language : en
Publisher: World Scientific
Release Date : 2022-03-10
Wear In Advanced Engineering Applications And Materials written by Luis Rodriguez-tembleque and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-10 with Technology & Engineering categories.
Wear is one of the main reasons mechanical components and materials become inoperable, rendering enormous costs to society over time. Estimating wear allows engineers to predict the useful life of modern mechanical elements, reduce the costs of inoperability, or obtain optimal designs (i.e. selecting proper materials, shapes, and surface finishing according to mechanical conditions and durability) to reduce the impact of wear.Wear in Advanced Engineering Applications and Materials presents recent computational and practical research studying damage and wear in advanced engineering applications and materials. As such, this book covers numerical formulations based on the finite element method (FEM) — and the boundary element method (BEM) — as well as theoretical and experimental research to predict the wear response or life-limiting failure of engineering applications.
Greens Function And Boundary Elements Mult
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Author : Qing-Hau Qin
language : en
Publisher:
Release Date : 2007-07
Greens Function And Boundary Elements Mult written by Qing-Hau Qin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07 with categories.
Consistent Higher Order Accurate Time Discretization Methods For Inelastic Material Models
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Author : Schröder, Bettina Anna Barbara
language : en
Publisher: kassel university press GmbH
Release Date : 2020-01-20
Consistent Higher Order Accurate Time Discretization Methods For Inelastic Material Models written by Schröder, Bettina Anna Barbara and has been published by kassel university press GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-20 with Technology & Engineering categories.
The present thesis investigates the usage of higher order accurate time integrators together with appropriate error estimators for small and finite dynamic (visco)plasticity. Therefore, a general (visco)plastic problem is defined which serves as a basis to create closed-form solution strategies. A classical access towards small and finite (visco)plasticity is integrated into this concept. This approach is based on the idea, that the balance of linear momentum is formulated in a weak sense and the material laws are included indirectly. Thus, separate time discretizations are implemented and an appropriate coupling between them is necessary. Limitations for the usage of time integrators are the consequence. In contrast, an alternative multifield formulation is derived, adapting the principle of Jourdain. The idea is to assume that the balance of energy - taking into account a pseudopotential representing dissipative effects – resembles a rate-type functional, whose stationarity condition leads to the equations describing small or finite dynamic (visco)plasticity. Accordingly, the material laws and the balance of linear momentum can be solved on the same level and only one single time discretization has to be performed. A greater freedom in the choice of time integrators is obtained and the application of higher order accurate schemes - such as Newmark’s method, fully implicit as well as diagonally implicit Runge-Kutta schemes, and continuous as well as discontinuous Galerkin methods - is facilitated. An analysis and a comparison of the classical and the multifield formulation is accomplished by means of distinct examples. In this context, a dynamic benchmark problem is developed, which allows to focus on the effect of different time integrators. For this investigation, a variety of time discretization error estimators are formulated, evaluated, and compared.
Transformation Of Domain Effects To The Boundary
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Author : Youssef F. Rashed
language : en
Publisher: Witpress
Release Date : 2003
Transformation Of Domain Effects To The Boundary written by Youssef F. Rashed and has been published by Witpress this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
Describing the most up-to-date methods for the transformation of the domain integrals to the boundary, this book includes both analytical and numerical techniques.