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Handbook Of Elasticity Solutions


Handbook Of Elasticity Solutions
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Handbook Of Elasticity Solutions


Handbook Of Elasticity Solutions
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Author : Mark L. Kachanov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Handbook Of Elasticity Solutions written by Mark L. Kachanov 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 2013-03-09 with Technology & Engineering categories.


This handbook is a collection of elasticity solutions. Many of the results presented here cannot be found in textbooks and are available in scientific articles only. Some of them were obtained in the closed form quite recently. The solutions have been thoroughly checked and reduced to a "user friendly" form. Every effort has been made to keep the book free of misprints. The theory of elasticity is a mature field and a large number of solutions are available. We had to make choices in selecting material for this book. The emphasis is made on results relevant to general solid mechanics and materials science applications. Solutions related to structural mechanics (beams, plates, shells, etc.) are left out. The content is limited to the linear elasticity.



Elasticity


Elasticity
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Author : Martin H. Sadd
language : en
Publisher: Academic Press
Release Date : 2014-01-22

Elasticity written by Martin H. Sadd and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-22 with Technology & Engineering categories.


Elasticity: Theory, Applications, and Numerics, Third Edition, continues its market-leading tradition of concisely presenting and developing the linear theory of elasticity, moving from solution methodologies, formulations, and strategies into applications of contemporary interest, such as fracture mechanics, anisotropic and composite materials, micromechanics, nonhomogeneous graded materials, and computational methods. Developed for a one- or two-semester graduate elasticity course, this new edition has been revised with new worked examples and exercises, and new or expanded coverage of areas such as spherical anisotropy, stress contours, isochromatics, isoclinics, and stress trajectories. Using MATLAB software, numerical activities in the text are integrated with analytical problem solutions. These numerics aid in particular calculations, graphically present stress and displacement solutions to problems of interest, and conduct simple finite element calculations, enabling comparisons with previously studied analytical solutions. Online ancillary support materials for instructors include a solutions manual, image bank, and a set of PowerPoint lecture slides. - Thorough yet concise introduction to linear elasticity theory and applications - Only text providing detailed solutions to problems of nonhomogeneous/graded materials - New material on stress contours/lines, contact stresses, curvilinear anisotropy applications - Further and new integration of MATLAB software - Addition of many new exercises - Comparison of elasticity solutions with elementary theory, experimental data, and numerical simulations - Online solutions manual and downloadable MATLAB code



System Modeling And Optimization


System Modeling And Optimization
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Author : Adam Korytowski
language : en
Publisher: Springer
Release Date : 2009-10-27

System Modeling And Optimization written by Adam Korytowski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-27 with Technology & Engineering categories.


rd This book constitutes a collection of extended versions of papers presented at the 23 IFIP TC7 Conference on System Modeling and Optimization, which was held in C- cow, Poland, on July 23–27, 2007. It contains 7 plenary and 22 contributed articles, the latter selected via a peer reviewing process. Most of the papers are concerned with optimization and optimal control. Some of them deal with practical issues, e. g. , p- formance-based design for seismic risk reduction, or evolutionary optimization in structural engineering. Many contributions concern optimization of infini- dimensional systems, ranging from a general overview of the variational analysis, through optimization and sensitivity analysis of PDE systems, to optimal control of neutral systems. A significant group of papers is devoted to shape analysis and opti- zation. Sufficient optimality conditions for ODE problems, and stochastic control methods applied to mathematical finance, are also investigated. The remaining papers are on mathematical programming, modeling, and information technology. The conference was the 23rd event in the series of such meetings biennially org- ized under the auspices of the Seventh Technical Committee “Systems Modeling and Optimization” of the International Federation for Information Processing (IFIP TC7).



Advanced Mechanical Models Of Dna Elasticity


Advanced Mechanical Models Of Dna Elasticity
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Author : Yakov M Tseytlin
language : en
Publisher: Academic Press
Release Date : 2016-04-08

Advanced Mechanical Models Of Dna Elasticity written by Yakov M Tseytlin and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-08 with Science categories.


Advanced Mechanical Models of DNA Elasticity includes coverage on 17 different DNA models and the role of elasticity in biological functions with extensive references. The novel advanced helicoidal model described reflects the direct connection between the molecule helix structure and its specific properties, including nonlinear features and transitions. It provides an introduction to the state of the field of DNA mechanics, known and widely used models with their short analysis, as well as coverage on experimental methods and data, the influence of electrical, magnetic, ionic conditions on the persistence length, and dynamics with viscosity influence. It then addresses the need to understand the nature of the non-linear overstretching transition of DNA under force and why DNA has a negative twist-stretch coupling. - Includes coverage of 17 contemporary models of DNA mechanics with analysis - Provides comparison of DNA and RNA mechanical features - Covers advances in experimental techniques including AFM, X-ray, and optical tweezers - Contains extensive references for further reading



Handbook Of Ordinary Differential Equations


Handbook Of Ordinary Differential Equations
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Author : Andrei D. Polyanin
language : en
Publisher: CRC Press
Release Date : 2017-11-15

Handbook Of Ordinary Differential Equations written by Andrei D. Polyanin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-15 with Mathematics categories.


The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for scientists and engineers as it contains over 7,000 ordinary differential equations with solutions. This book contains more equations and methods used in the field than any other book currently available. Included in the handbook are exact, asymptotic, approximate analytical, numerical symbolic and qualitative methods that are used for solving and analyzing linear and nonlinear equations. The authors also present formulas for effective construction of solutions and many different equations arising in various applications like heat transfer, elasticity, hydrodynamics and more. This extensive handbook is the perfect resource for engineers and scientists searching for an exhaustive reservoir of information on ordinary differential equations.



An Introduction To The Topological Derivative Method


An Introduction To The Topological Derivative Method
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Author : Antonio André Novotny
language : en
Publisher: Springer Nature
Release Date : 2020-01-21

An Introduction To The Topological Derivative Method written by Antonio André Novotny and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-21 with Mathematics categories.


This book presents the topological derivative method through selected examples, using a direct approach based on calculus of variations combined with compound asymptotic analysis. This new concept in shape optimization has applications in many different fields such as topology optimization, inverse problems, imaging processing, multi-scale material design and mechanical modeling including damage and fracture evolution phenomena. In particular, the topological derivative is used here in numerical methods of shape optimization, with applications in the context of compliance structural topology optimization and topology design of compliant mechanisms. Some exercises are offered at the end of each chapter, helping the reader to better understand the involved concepts.



Mechanics Of Hysteretic Adhesive Elastic Mechanical Contact Between Rough Surfaces


Mechanics Of Hysteretic Adhesive Elastic Mechanical Contact Between Rough Surfaces
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Author : Haneesh Kesari
language : en
Publisher: Stanford University
Release Date : 2011

Mechanics Of Hysteretic Adhesive Elastic Mechanical Contact Between Rough Surfaces written by Haneesh Kesari and has been published by Stanford University this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.


In experiments that involve contact with adhesion between two surfaces, as found in atomic force microscopy or nanoindentation, two distinct contact force (P ) vs. indentation-depth (h) curves are often measured depending on whether the indenter moves towards or away from the sample. The origin of this hysteresis is not well understood and is often attributed to moisture, plasticity or viscoelasticity. We present experiments, atomistic simulations and continuum mechanics models that will show that hysteresis can exist without these effects, and that its magnitude depends on surface roughness. We explain the observed hysteresis as the result of a series of surface instabilities, where the contact area grows or recedes by a finite amount. We also demonstrate that when this is the case material properties can be estimated uniquely from contact experiments even when the measured P -h curves are not unique. The hysteresis energy loss during contact is also a measure of the adhesive toughness of the contact interface. We show experimentally that roughness can both increase and decrease the adhesive toughness of the contact interface. We show through numerical simulation of continuum adhesive contact models that the contact interface is optimally tough at conditions at which the contact region is at the cusp of the transition through which it turns form being mostly simply connected to being predominantly multiply connected.



Toughening Mechanisms In Composite Materials


Toughening Mechanisms In Composite Materials
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Author : Qing-Hua Qin
language : en
Publisher: Elsevier
Release Date : 2015-05-26

Toughening Mechanisms In Composite 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 2015-05-26 with Technology & Engineering categories.


Toughening Mechanisms in Composite Materials aims to provide a comprehensive and technically detailed coverage of composites and their toughening mechanisms. Unique in its direct and comprehensive approach, the book presents fundamental knowledge on composites' toughening mechanisms as well as a comprehensive treatment of numerical methods. This volume summarizes the current state-of-the-art and presents the most recent research outcomes in the field. It details the development of each of the techniques, beginning with basic principles, and new concepts are illustrated with examples wherever possible. - Covers particle-reinforced composites, fibre-reinforced composites and other toughening mechanisms - Analyses toughening mechanisms in a broad range of composite materials - Developments in nanotube toughened composites and toughened graphene ceramic composites are examined



Structural Analysis With Finite Elements


Structural Analysis With Finite Elements
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Author : Friedel Hartmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-01-30

Structural Analysis With Finite Elements written by Friedel Hartmann 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 2007-01-30 with Technology & Engineering categories.


This book provides a solid introduction to the foundation and the application of the finite element method in structural analysis. It offers new theoretical insight and practical advice. This second edition contains additional sections on sensitivity analysis, on retrofitting structures, on the Generalized FEM (X-FEM) and on model adaptivity. An additional chapter treats the boundary element method, and related software is available at www.winfem.de.



Indentation Testing Of Biological Materials


Indentation Testing Of Biological Materials
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Author : Ivan Argatov
language : en
Publisher: Springer
Release Date : 2018-03-27

Indentation Testing Of Biological Materials written by Ivan Argatov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-27 with Technology & Engineering categories.


This book presents a comprehensive and unifying approach to analytical identification of material properties of biological materials. Focusing on depth-sensing indentation testing, pipette aspiration testing, and torsion of soft tissues, it discusses the following important aspects in detail: damping, adhesion, thickness effect, substrate effect, elastic inhomogeneity effect, and biphasic effect. This book is intended for advanced undergraduate and graduate students, researchers in the area of biomechanics as well as for biomedical engineers interested in contact problems and involved in inverse materials parameters prediction analysis.