Virtual Work And Shape Change In Solid Mechanics

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Virtual Work and Shape Change in Solid Mechanics

Author : Michel Frémond
Publisher : Springer
ISBN 13 : 3319406825
Total Pages : 371 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Virtual Work and Shape Change in Solid Mechanics by : Michel Frémond

Download or read book Virtual Work and Shape Change in Solid Mechanics written by Michel Frémond and published by Springer. This book was released on 2016-09-24 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides novel insights into two fundamental subjects in solid mechanics: virtual work and shape change. The author explains how the principle of virtual work represents a tool for analysis of the mechanical effects of the evolution of the shape of a system, how it can be applied to observations and experiments, and how it may be adapted to produce predictive theories of numerous phenomena. The book is divided into three parts. The first relates the principle of virtual work to what we observe with our eyes, the second demonstrates its flexibility on the basis of many examples, and the third applies the principle to predict the motion of solids with large deformations. Examples of both usual and unusual shape changes are presented, and equations of motion, some of which are entirely new, are derived for smooth and non-smooth motions associated with, for instance, systems of disks, systems of balls, classical and non-classical small deformation theories, systems involving volume and surface damage, systems with interactions at a distance (e.g., solids reinforced by fibers), systems involving porosity, collisions, and fracturing of solids.

Applied Mechanics of Solids

Author : Allan F. Bower
Publisher : CRC Press
ISBN 13 : 1439802483
Total Pages : 820 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Applied Mechanics of Solids by : Allan F. Bower

Download or read book Applied Mechanics of Solids written by Allan F. Bower and published by CRC Press. This book was released on 2009-10-05 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern computer simulations make stress analysis easy. As they continue to replace classical mathematical methods of analysis, these software programs require users to have a solid understanding of the fundamental principles on which they are based.Develop Intuitive Ability to Identify and Avoid Physically Meaningless PredictionsApplied Mechanics o

The Finite Element Method for Mechanics of Solids with ANSYS Applications

Author : Ellis H. Dill
Publisher : CRC Press
ISBN 13 : 1439845840
Total Pages : 508 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis The Finite Element Method for Mechanics of Solids with ANSYS Applications by : Ellis H. Dill

Download or read book The Finite Element Method for Mechanics of Solids with ANSYS Applications written by Ellis H. Dill and published by CRC Press. This book was released on 2011-08-25 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: While the finite element method (FEM) has become the standard technique used to solve static and dynamic problems associated with structures and machines, ANSYS software has developed into the engineer’s software of choice to model and numerically solve those problems. An invaluable tool to help engineers master and optimize analysis, The Finite Element Method for Mechanics of Solids with ANSYS Applications explains the foundations of FEM in detail, enabling engineers to use it properly to analyze stress and interpret the output of a finite element computer program such as ANSYS. Illustrating presented theory with a wealth of practical examples, this book covers topics including: Essential background on solid mechanics (including small- and large-deformation elasticity, plasticity, and viscoelasticity) and mathematics Advanced finite element theory and associated fundamentals, with examples Use of ANSYS to derive solutions for problems that deal with vibration, wave propagation, fracture mechanics, plates and shells, and contact Totally self-contained, this text presents step-by-step instructions on how to use ANSYS Parametric Design Language (APDL) and the ANSYS Workbench to solve problems involving static/dynamic structural analysis (both linear and non-linear) and heat transfer, among other areas. It will quickly become a welcome addition to any engineering library, equally useful to students and experienced engineers alike.

Proceedings of the 1st International Conference on Numerical Modelling in Engineering

Author : Magd Abdel Wahab
Publisher : Springer
ISBN 13 : 9811322732
Total Pages : 418 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Proceedings of the 1st International Conference on Numerical Modelling in Engineering by : Magd Abdel Wahab

Download or read book Proceedings of the 1st International Conference on Numerical Modelling in Engineering written by Magd Abdel Wahab and published by Springer. This book was released on 2018-08-28 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers outstanding papers on numerical modeling in Mechanical Engineering (Volume 2) as part of the proceedings of the 1st International Conference on Numerical Modeling in Engineering (NME 2018), which was held in Ghent, Belgium. The overall objective of the conference was to bring together international scientists and engineers in academia and industry from fields related to advanced numerical techniques, such as the finite element method (FEM), boundary element method (BEM), isogeometric analysis (IGA), etc., and their applications to a wide range of engineering disciplines. This book addresses various industrial engineering applications of numerical simulations to Mechanical and Materials Engineering, including: Aerospace applications, Acoustic analysis, Biomechanical applications, Contact problems and wear, Heat transfer analysis, Vibration and dynamics, Transient analysis, Nonlinear analysis, Composite materials, Polymers, Metal alloys, Fracture mechanics, Fatigue of materials, Creep behavior, Phase transformation, and Crystal plasticity.

The Finite Element Method: Solid mechanics

Author : O. C. Zienkiewicz
Publisher : Butterworth-Heinemann
ISBN 13 : 9780750650557
Total Pages : 482 pages
Book Rating : 4.6/5 (55 download)

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Book Synopsis The Finite Element Method: Solid mechanics by : O. C. Zienkiewicz

Download or read book The Finite Element Method: Solid mechanics written by O. C. Zienkiewicz and published by Butterworth-Heinemann. This book was released on 2000 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theoretical Foundations of Nanoscale Quantum Devices

Author : Malin Premaratne
Publisher : Cambridge University Press
ISBN 13 : 1108639364
Total Pages : 299 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis Theoretical Foundations of Nanoscale Quantum Devices by : Malin Premaratne

Download or read book Theoretical Foundations of Nanoscale Quantum Devices written by Malin Premaratne and published by Cambridge University Press. This book was released on 2021-01-07 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nanooptics which describes the interaction of light with matter at the nanoscale, is a topic of great fundamental interest to physicists and engineers and allows the direct observation of quantum mechanical phenomena in action. This self-contained and extensively referenced text describes the underlying theory behind nanodevices operating in the quantum regime for use both in advanced courses and as a reference for researchers in physics, chemistry, electrical engineering, and materials science. Presenting an extensive theoretical toolset for design and analysis of nanodevices, the authors demonstrate the art of developing approximate quantum models of real nanodevices. The rudimentary mathematical knowledge required to master the material is carefully introduced, with detailed derivations and frequent worked examples allowing readers to gain a thorough understanding of the material. More advanced applications are gradually introduced alongside analytical approximations and simplifying assumptions often used to make such problems tractable while representative of the observed features.

Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs

Author : Pierluigi Colli
Publisher : Springer
ISBN 13 : 3319644890
Total Pages : 571 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs by : Pierluigi Colli

Download or read book Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs written by Pierluigi Colli and published by Springer. This book was released on 2017-11-03 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers contributions in the field of partial differential equations, with a focus on mathematical models in phase transitions, complex fluids and thermomechanics. These contributions are dedicated to Professor Gianni Gilardi on the occasion of his 70th birthday. It particularly develops the following thematic areas: nonlinear dynamic and stationary equations; well-posedness of initial and boundary value problems for systems of PDEs; regularity properties for the solutions; optimal control problems and optimality conditions; feedback stabilization and stability results. Most of the articles are presented in a self-contained manner, and describe new achievements and/or the state of the art in their line of research, providing interested readers with an overview of recent advances and future research directions in PDEs.

Intermediate Solid Mechanics

Author : Marko V. Lubarda
Publisher : Cambridge University Press
ISBN 13 : 1108603424
Total Pages : 501 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis Intermediate Solid Mechanics by : Marko V. Lubarda

Download or read book Intermediate Solid Mechanics written by Marko V. Lubarda and published by Cambridge University Press. This book was released on 2020-01-09 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on class-tested material, this concise yet comprehensive treatment of the fundamentals of solid mechanics is ideal for those taking single-semester courses on the subject. It provides interdisciplinary coverage of the key topics, combining solid mechanics with structural design applications, mechanical behavior of materials, and the finite element method. Part I covers basic theory, including the analysis of stress and strain, Hooke's law, and the formulation of boundary-value problems in Cartesian and cylindrical coordinates. Part II covers applications, from solving boundary-value problems, to energy methods and failure criteria, two-dimensional plane stress and strain problems, antiplane shear, contact problems, and much more. With a wealth of solved examples, assigned exercises, and 130 homework problems, and a solutions manual available online, this is ideal for senior undergraduates studying solid mechanics, and graduates taking introductory courses in solid mechanics and theory of elasticity, across aerospace, civil and mechanical engineering, and materials science.

Computational Methods in Nonlinear Structural and Solid Mechanics

Author : Ahmed K. Noor
Publisher : Elsevier
ISBN 13 : 1483145646
Total Pages : 470 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Computational Methods in Nonlinear Structural and Solid Mechanics by : Ahmed K. Noor

Download or read book Computational Methods in Nonlinear Structural and Solid Mechanics written by Ahmed K. Noor and published by Elsevier. This book was released on 2014-05-20 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Methods in Nonlinear Structural and Solid Mechanics covers the proceedings of the Symposium on Computational Methods in Nonlinear Structural and Solid Mechanics. The book covers the development of efficient discretization approaches; advanced numerical methods; improved programming techniques; and applications of these developments to nonlinear analysis of structures and solids. The chapters of the text are organized into 10 parts according to the issue they tackle. The first part deals with nonlinear mathematical theories and formulation aspects, while the second part covers computational strategies for nonlinear programs. Part 3 deals with time integration and numerical solution of nonlinear algebraic equations, while Part 4 discusses material characterization and nonlinear fracture mechanics, and Part 5 tackles nonlinear interaction problems. The sixth part discusses seismic response and nonlinear analysis of concrete structure, and the seventh part tackles nonlinear problems for nuclear reactors. Part 8 covers crash dynamics and impact problems, while Part 9 deals with nonlinear problems of fibrous composites and advanced nonlinear applications. The last part discusses computerized symbolic manipulation and nonlinear analysis software systems. The book will be of great interest to numerical analysts, computer scientists, structural engineers, and other professionals concerned with nonlinear structural and solid mechanics.

Computational Methods in Solid Mechanics

Author : A. Curnier
Publisher : Springer Science & Business Media
ISBN 13 : 940111112X
Total Pages : 412 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Computational Methods in Solid Mechanics by : A. Curnier

Download or read book Computational Methods in Solid Mechanics written by A. Curnier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an introduction to the three numerical methods most commonly used in the mechanical analysis of deformable solids, viz. the finite element method (FEM), the linear iteration method (LIM), and the finite difference method (FDM). The book has been written from the point of view of simplicity and unity; its originality lies in the comparable emphasis given to the spatial, temporal and nonlinear dimensions of problem solving. This leads to a neat global algorithm. Chapter 1 addresses the problem of a one-dimensional bar, with emphasis being given to the virtual work principle. Chapters 2--4 present the three numerical methods. Although the discussion relates to a one-dimensional model, the formalism used is extendable to two-dimensional situations. Chapter 5 is devoted to a detailed discussion of the compact combination of the three methods, and contains several sections concerning their computer implementation. Finally, Chapter 6 gives a generalization to two and three dimensions of both the mechanical and numerical aspects. For graduate students and researchers whose work involves the theory and application of computational solid mechanics.

Virtual Work Approach to Mechanical Modeling

Author : Jean Salençon
Publisher : John Wiley & Sons
ISBN 13 : 1786302950
Total Pages : 362 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Virtual Work Approach to Mechanical Modeling by : Jean Salençon

Download or read book Virtual Work Approach to Mechanical Modeling written by Jean Salençon and published by John Wiley & Sons. This book was released on 2018-03-27 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is centred about the Principle of virtual work and the related method for mechanical modelling. It aims at showing and enhancing the polyvalence and versatility of the virtual work approach in the mechanical modelling process. The virtual work statement is set as the principle at the root of a force modelling method that can be implemented on any geometrical description. After experimentally induced hypotheses have been made on the geometrical parameters that describe the concerned system and subsystems, the method provides a unifying framework for building up consistently associated force models where external and internal forces are introduced through their virtual rates of work. Systems described as three-dimensional, curvilinear or planar continua are considered: force models are established with the corresponding equations of motion; the validation process points out that enlarging the domain of relevance of the model for practical applications calls for an enrichment of the geometrical description that takes into account the underlying microstructure.

Solid Mechanics

Author : Clive L. Dym
Publisher : Springer Science & Business Media
ISBN 13 : 1461460344
Total Pages : 698 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Solid Mechanics by : Clive L. Dym

Download or read book Solid Mechanics written by Clive L. Dym and published by Springer Science & Business Media. This book was released on 2013-04-05 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solid Mechanics: A Variational Approach, Augmented Edition presents a lucid and thoroughly developed approach to solid mechanics for students engaged in the study of elastic structures not seen in other texts currently on the market. This work offers a clear and carefully prepared exposition of variational techniques as they are applied to solid mechanics. Unlike other books in this field, Dym and Shames treat all the necessary theory needed for the study of solid mechanics and include extensive applications. Of particular note is the variational approach used in developing consistent structural theories and in obtaining exact and approximate solutions for many problems. Based on both semester and year-long courses taught to undergraduate seniors and graduate students, this text is geared for programs in aeronautical, civil, and mechanical engineering, and in engineering science. The authors’ objective is two-fold: first, to introduce the student to the theory of structures (one- and two-dimensional) as developed from the three-dimensional theory of elasticity; and second, to introduce the student to the strength and utility of variational principles and methods, including briefly making the connection to finite element methods. A complete set of homework problems is included.

Introduction to Solid Mechanics

Author : Jacob Lubliner
Publisher : Springer
ISBN 13 : 331918878X
Total Pages : 533 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Introduction to Solid Mechanics by : Jacob Lubliner

Download or read book Introduction to Solid Mechanics written by Jacob Lubliner and published by Springer. This book was released on 2016-10-12 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: This expanded second edition presents in one text the concepts and processes covered in statics and mechanics of materials curricula following a systematic, topically integrated approach. Building on the novel pedagogy of fusing concepts covered in traditional undergraduate courses in rigid-body statics and deformable body mechanics, rather than simply grafting them together, this new edition develops further the authors’ very original treatment of solid mechanics with additional figures, an elaboration on selected solved problems, and additional text as well as a new subsection on viscoelasticity in response to students’ feedback. Introduction to Solid Mechanics: An Integrated Approach, Second Edition, offers a holistic treatment of the depth and breadth of solid mechanics and the inter-relationships of its underlying concepts. Proceeding from first principles to applications, the book stands as a whole greater than the sum of its parts.

Computational Solid Mechanics

Author : Marco L. Bittencourt
Publisher : CRC Press
ISBN 13 : 1482246538
Total Pages : 680 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Computational Solid Mechanics by : Marco L. Bittencourt

Download or read book Computational Solid Mechanics written by Marco L. Bittencourt and published by CRC Press. This book was released on 2014-09-19 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a Systematic Approach for Modeling Mechanical Models Using Variational Formulation-Uses Real-World Examples and Applications of Mechanical ModelsUtilizing 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 e

The Cell Method

Author : Elena Ferretti
Publisher : Momentum Press
ISBN 13 : 1606506064
Total Pages : 244 pages
Book Rating : 4.6/5 (65 download)

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Book Synopsis The Cell Method by : Elena Ferretti

Download or read book The Cell Method written by Elena Ferretti and published by Momentum Press. This book was released on 2014-02-02 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Cell Method (CM) is a computational tool that maintains critical multidimensional attributes of physical phenomena in analysis. This information is neglected in the differential formulations of the classical approaches of finite element, boundary element, finite volume, and finite difference analysis, often leading to numerical instabilities and spurious results. This book highlights the central theoretical concepts of the CM that preserve a more accurate and precise representation of the geometric and topological features of variables for practical problem solving. Important applications occur in fields such as electromagnetics, electrodynamics, solid mechanics and fluids. CM addresses non-locality in continuum mechanics, an especially important circumstance in modeling heterogeneous materials. Professional engineers and scientists, as well as graduate students, are offered: • A general overview of physics and its mathematical descriptions; • Guidance on how to build direct, discrete formulations; • Coverage of the governing equations of the CM, including nonlocality; • Explanations of the use of Tonti diagrams; and • References for further reading.

Proceedings of 8th GACM Colloquium on Computational Mechanics

Author : Tobias Gleim
Publisher : kassel university press GmbH
ISBN 13 : 3737650934
Total Pages : 493 pages
Book Rating : 4.7/5 (376 download)

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Book Synopsis Proceedings of 8th GACM Colloquium on Computational Mechanics by : Tobias Gleim

Download or read book Proceedings of 8th GACM Colloquium on Computational Mechanics written by Tobias Gleim and published by kassel university press GmbH. This book was released on 2019-09-04 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: This conference book contains papers presented at the 8th GACM Colloquium on Computational Mechanics for Young Scientists from Academia and Industry. The conference was held from August 28th – 30th, 2019 in Kassel, hosted by the Institute of Mechanics and Dynamics of the department for civil and environmental engineering and by the chair of Engineering Mechanics / Continuum Mechanics of the department for mechanical engineering of the University of Kassel. The aim of the conference is, to bring together young scientits who are engaged in academic and industrial research on Computational Mechanics and Computer Methods in Applied Sciences. It provides a plattform to present and discuss recent results from research efforts and industrial applications. In more than 150 presentations, given by young scientists, current scientific developments and advances in engineering practice in this field are presented and discussed. The contributions of the young researchers are supplemented by a poster session and plenary talks from four senior scientists from academia and industry as well as from the GACM Best PhD Award winners 2017 and 2018.

Nonlinear Solid Mechanics for Finite Element Analysis: Dynamics

Author : Javier Bonet
Publisher : Cambridge University Press
ISBN 13 : 1107115620
Total Pages : 351 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Nonlinear Solid Mechanics for Finite Element Analysis: Dynamics by : Javier Bonet

Download or read book Nonlinear Solid Mechanics for Finite Element Analysis: Dynamics written by Javier Bonet and published by Cambridge University Press. This book was released on 2021-03-18 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: The perfect introduction to the theory and computer programming for the dynamic simulation of nonlinear solid mechanics.