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The Direct Integration Method For Elastic Analysis Of Nonhomogeneous Solids


The Direct Integration Method For Elastic Analysis Of Nonhomogeneous Solids
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The Direct Integration Method For Elastic Analysis Of Nonhomogeneous Solids


The Direct Integration Method For Elastic Analysis Of Nonhomogeneous Solids
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Author : Yuriy Tokovyy
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2021-02-01

The Direct Integration Method For Elastic Analysis Of Nonhomogeneous Solids written by Yuriy Tokovyy 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 2021-02-01 with Mathematics categories.


The direct integration method (a general approach to analysis for boundary value problems of mathematical physics with no implications for the potential functions of higher differential order) is presented in this book as a potential tool for the analysis of the elastic response of arbitrarily nonhomogeneous solids to thermal and force loadings. This method rests upon the correct integration of the local equilibrium equations, which results in an explicit relationship between the stress-tensor components and fundamental integral conditions of equilibrium for individual stresses, which can serve to assure the correctness of the solution and provide a simple verification of computational results. Making use of these relationships and conditions, which are irrespective of the material properties, allows for the reduction of the original elasticity and thermoelasticity problems for nonhomogeneous materials to integral equations of a second kind which implies the solution in a closed form. This feature makes the method efficient for the analysis of arbitrarily nonhomogeneous materials, among which the functionally graded materials are of particular interest for both academia and industry.



Proceedings Of The First International Conference On Theoretical Applied And Experimental Mechanics


Proceedings Of The First International Conference On Theoretical Applied And Experimental Mechanics
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Author : Emmanuel E. Gdoutos
language : en
Publisher: Springer
Release Date : 2018-05-26

Proceedings Of The First International Conference On Theoretical Applied And Experimental Mechanics written by Emmanuel E. Gdoutos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-26 with Science categories.


ICTAEM_1 treated all aspects of theoretical, applied and experimental mechanics including biomechanics, composite materials, computational mechanics, constitutive modeling of materials, dynamics, elasticity, experimental mechanics, fracture, mechanical properties of materials, micromechanics, nanomechanics, plasticity, stress analysis, structures, wave propagation. During the conference special symposia covering major areas of research activity organized by members of the Scientific Advisory Board took place. ICTAEM_1 brought together the most outstanding world leaders and gave attendees the opportunity to get acquainted with the latest developments in the area of mechanics. ICTAEM_1 is a forum of university, industry and government interaction and serves in the exchange of ideas in an area of utmost scientific and technological importance.



Selected Problems Of Solid Mechanics And Solving Methods


Selected Problems Of Solid Mechanics And Solving Methods
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Author : Holm Altenbach
language : en
Publisher: Springer Nature
Release Date : 2024-06-04

Selected Problems Of Solid Mechanics And Solving Methods written by Holm Altenbach and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-04 with Science categories.


This book examines new approaches for the estimation of errors in approximate theories. Numerical and analytical methods in mechanics often require the establishment of a set of basic equations, and various approaches exist to create approximate theories from them. The problem is that nobody knows the boundaries of the estimation of errors in approximate theories. This book presents new approaches to overcome this problem and to provide the reader with suitable methods for the relevant field, including a representation of different scientific schools and different countries. These new methods are helping to solve many problems not only in analytical Mechanics but also in Physics, Mathematics, and Civil Engineering.



Proceedings Of The Third International Conference On Theoretical Applied And Experimental Mechanics


Proceedings Of The Third International Conference On Theoretical Applied And Experimental Mechanics
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Author : Emmanuel Gdoutos
language : en
Publisher: Springer Nature
Release Date : 2020-05-18

Proceedings Of The Third International Conference On Theoretical Applied And Experimental Mechanics written by Emmanuel Gdoutos and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-18 with Technology & Engineering categories.


This book presents the proceedings of the 3rd edition of the International Conference on Theoretical, Applied and Experimental Mechanics. The papers focus on all aspects of theoretical, applied and experimental mechanics, including biomechanics, composite materials, computational mechanics, constitutive modeling of materials, dynamics, elasticity, experimental mechanics, fracture mechanics, mechanical properties of materials, micromechanics, nanomechanics, plasticity, stress analysis, structures, wave propagation.



Mathematics And Computing


Mathematics And Computing
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Author : B. Rushi Kumar
language : en
Publisher: Springer Nature
Release Date : 2023-03-14

Mathematics And Computing written by B. Rushi Kumar and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-14 with Mathematics categories.


This book comprises select peer-reviewed articles submitted for the proceedings of the International Conference on Mathematics and Computing (ICMC 2022), held by the School of Advanced Sciences, Vellore Institute of Technology, Vellore, India, in association with Ramanujan Mathematical Society, India, Cryptology Research Society of India and Society for Electronic Transactions and Security, India, from 6–8 January 2022. With an aim to identify the existing challenges in the areas of mathematics and computing, the book emphasizes the importance of establishing new methods and algorithms to address these challenges. The book includes topics on diverse applications of cryptology, network security, cyber security, block chain, IoT, mobile network, data analytics, applied algebra, mathematical analysis, mathematical modelling, fluid dynamics, fractional calculus, multi-optimization, integral equations, dynamical systems, numerical analysis and scientific computing. Divided into five major parts—applied algebra and analysis, fractional calculus and integral equations, mathematical modelling and fluid dynamics, numerical analysis, and computer science and applications—the book is a useful resource for students, researchers and faculty as well as practitioners.



Applied Mechanics Reviews


Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1973

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 1973 with Mechanics, Applied categories.




Computational Science And Its Applications Iccsa 2017


Computational Science And Its Applications Iccsa 2017
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Author : Osvaldo Gervasi
language : en
Publisher: Springer
Release Date : 2017-07-04

Computational Science And Its Applications Iccsa 2017 written by Osvaldo Gervasi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-04 with Computers categories.


The six-volume set LNCS 10404-10409 constitutes the refereed proceedings of the 17th International Conference on Computational Science and Its Applications, ICCSA 2017, held in Trieste, Italy, in July 2017. The 313 full papers and 12 short papers included in the 6-volume proceedings set were carefully reviewed and selected from 1052 submissions. Apart from the general tracks, ICCSA 2017 included 43 international workshops in various areas of computational sciences, ranging from computational science technologies to specific areas of computational sciences, such as computer graphics and virtual reality. Furthermore, this year ICCSA 2017 hosted the XIV International Workshop On Quantum Reactive Scattering. The program also featured 3 keynote speeches and 4 tutorials.



Scientific And Technical Aerospace Reports


Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1992

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 1992 with Aeronautics categories.




Theory Of Differential Equations In Engineering And Mechanics


Theory Of Differential Equations In Engineering And Mechanics
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Author : Kam Tim Chau
language : en
Publisher: CRC Press
Release Date : 2017-09-22

Theory Of Differential Equations In Engineering And Mechanics written by Kam Tim Chau and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-22 with Mathematics categories.


This gives comprehensive coverage of the essential differential equations students they are likely to encounter in solving engineering and mechanics problems across the field -- alongside a more advance volume on applications. This first volume covers a very broad range of theories related to solving differential equations, mathematical preliminaries, ODE (n-th order and system of 1st order ODE in matrix form), PDE (1st order, 2nd, and higher order including wave, diffusion, potential, biharmonic equations and more). Plus more advanced topics such as Green’s function method, integral and integro-differential equations, asymptotic expansion and perturbation, calculus of variations, variational and related methods, finite difference and numerical methods. All readers who are concerned with and interested in engineering mechanics problems, climate change, and nanotechnology will find topics covered in these books providing valuable information and mathematics background for their multi-disciplinary research and education.



Science And Technology Series


Science And Technology Series
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Author :
language : en
Publisher:
Release Date : 1986

Science And Technology Series written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Astronautics categories.