Error-controlled Adaptive Finite Elements in Solid Mechanics

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A Posteriori Error Estimation in Finite Element Analysis

An up-to-date, one-stop reference-complete with applications This volume presents the most up-to-date information available on a posteriori error estimation for finite element approximation in mechanics and mathematics. It emphasizes methods for elliptic boundary value problems and includes applications to incompressible flow and nonlinear problems. Recent years have seen an explosion in the study of a posteriori error estimators due to their remarkable influence on improving both accuracy and reliability in scientific computing. In an effort to provide an accessible source, the authors have sought to present key ideas and common principles on a sound mathematical footing. Topics covered in this timely reference include: * Implicit and explicit a posteriori error estimators * Recovery-based error estimators * Estimators, indicators, and hierarchic bases * The equilibrated residual method * Methodology for the comparison of estimators * Estimation of errors in quantities of interest A Posteriori Error Estimation in Finite Element Analysis is a lucid and convenient resource for researchers in almost any field of finite element methods, and for applied mathematicians and engineers who have an interest in error estimation and/or finite elements.

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Modern Trends in Structural and Solid Mechanics 1

This book – comprised of three separate volumes – presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff.

This first volume is devoted to the statics and stability of solid and structural members. Modern Trends in Structural and Solid Mechanics 1 has broad scope, covering topics such as: buckling of discrete systems (elastic chains, lattices with short and long range interactions, and discrete arches), buckling of continuous structural elements including beams, arches and plates, static investigation of composite plates, exact solutions of plate problems, elastic and inelastic buckling, dynamic buckling under impulsive loading, buckling and post-buckling investigations, buckling of conservative and non-conservative systems and buckling of micro and macro-systems.

This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.

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Modern Trends in Structural and Solid Mechanics 3

Modern Trends in Structural and Solid Mechanics 3 has broad scope, covering topics such: design optimization under uncertainty, interval field approaches, convex analysis, quantum inspired topology optimization and stochastic dynamics. The book is illustrated by many applications in the field of aerospace engineering, mechanical engineering, civil engineering, biomedical engineering and automotive engineering.

This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.

Цена 15601 руб.

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Modern Trends in Structural and Solid Mechanics 2

This book – comprised of three separate volumes – presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This second volume is devoted to the vibrations of solid and structural members. Modern Trends in Structural and Solid Mechanics 2 has broad scope, covering topics such as: exact and approximate vibration solutions of rods, beams, membranes, plates and three-dimensional elasticity problems, Bolotin's dynamic edge effect, the principles of plate theories in dynamics, nano- and microbeams, nonlinear dynamics of shear extensible beams, the vibration and aeroelastic stability behavior of cellular beams, the dynamic response of elastoplastic softening oscillators, the complex dynamics of hysteretic oscillators, bridging waves, and the three-dimensional propagation of waves. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.

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Full-Field Measurements and Identification in Solid Mechanics

This timely book presents cutting-edge developments by experts in the field on the rapidly developing and scientifically challenging area of full-field measurement techniques used in solid mechanics – including photoelasticity, grid methods, deflectometry, holography, speckle interferometry and digital image correlation. The evaluation of strains and the use of the measurements in subsequent parameter identification techniques to determine material properties are also presented. Since parametric identification techniques require a close coupling of theoretical models and experimental measurements, the book focuses on specific modeling approaches that include finite element model updating, the equilibrium gap method, constitutive equation gap method, virtual field method and reciprocity gap method. In the latter part of the book, the authors discuss two particular applications of selected methods that are of special interest to many investigators: the analysis of localized phenomenon and connections between microstructure and constitutive laws. The final chapter highlights infrared measurements and their use in the mechanics of materials. Written and edited by knowledgeable scientists, experts in their fields, this book will be a valuable resource for all students, faculties and scientists seeking to expand their understanding of an important, growing research area

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Financial Engineering with Finite Elements

The pricing of derivative instruments has always been a highly complex and time-consuming activity. Advances in technology, however, have enabled much quicker and more accurate pricing through mathematical rather than analytical models. In this book, the author bridges the divide between finance and mathematics by applying this proven mathematical technique to the financial markets. Utilising practical examples, the author systematically describes the processes involved in a manner accessible to those without a deep understanding of mathematics. * Explains little understood techniques that will assist in the accurate more speedy pricing of options * Centres on the practical application of these useful techniques * Offers a detailed and comprehensive account of the methods involved and is the first to explore the application of these particular techniques to the financial markets

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Mechanics of Solid Interfaces

The growing occurrence of heterogeneous materials such as composites or coated substrates in structural parts makes it necessary for designers and scientists to deal with the specific features of the mechanical behavior of solid interfaces. This book introduces basic concepts on mechanical problems related to the presence of solid/solid interfaces and their practical applications. The various topics discussed here are the mechanical characterization of interfaces, the initiation and growth of cracks along interfaces, the origin and control of interface adhesion, focusing in particular on thin films on substrate systems. It is designed and structured to provide a solid background in the mechanics of heterogeneous materials to help students in materials science, as well as scientists and engineers.

Цена 15520 руб.

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Modern Trends in Structural and Solid Mechanics 1

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Modern Trends in Structural and Solid Mechanics 2

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Modern Trends in Structural and Solid Mechanics 3

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Broke: Who Killed the Middle Classes?

If you thought being middle-class meant your own home, something set aside for the kids and a comfortable retirement – think again.For the first time ever, today’s middle classes will struggle to enjoy the same privileges of security and comfort that their grandparents did. How did this situation come about? What can be done about it?In this beautifully shaped inquiry, David Boyle questions why the middle classes are diminishing and how their status, independence and values are being eroded. From Thatcher’s boost of the mortgage market to Blair and Brown’s posturing over public services, ‘Broke’ examines the key moments in recent history that created ‘the squeezed middle’.Can the middle classes be revived? Should they be? Although they were not innocent in their downfall, Boyle argues that a newly galvanised middle class could be the key to future economic stability. The middle class may be broke, but it is not beyond repair.

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Dear Ijeawele, or a Feminist Manifesto in Fifteen Suggestions

A few years ago, Chimamanda Ngozi Adichie received a letter from a dear friend from childhood, asking her how to raise her baby girl as a feminist. Dear Ijeawele is Adichie's letter of response.Here are fifteen invaluable suggestions–compelling, direct, wryly funny, and perceptive–for how to empower a daughter to become a strong, independent woman. From encouraging her to choose a helicopter, and not only a doll, as a toy if she so desires; having open conversations with her about clothes, makeup, and sexuality; debunking the myth that women are somehow biologically arranged to be in the kitchen making dinner, and that men can «allow» women to have full careers, Dear Ijeawele goes right to the heart of sexual politics in the twenty-first century. It will start a new and urgently needed conversation about what it really means to be a woman today.

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Marx: Philosophy in an Hour

Philosophy for busy people. Read a succinct account of the philosophy of Karl Marx in just one hour.Karl Marx's philosophical critique of capitalism and his solution of communism directly led to the formation of the communist state in the Soviet Union. Whilst this great venture has now all but completely failed, Marx’s philosophy has proved to be arguably the most influential of the twentieth century; the influence of Marxism can be seen in subjects as diverse as the infamous policies of Joseph Stalin to many of the progressive humanitarian reforms of the twentieth century.Here is a concise, expert account of Marx’s life and philosophical ideas – entertainingly written and easy to understand. Also included are selections from Marx’s work, suggested further reading, and chronologies that place Marx in the context of the broader scheme of philosophy.

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Hegel: Philosophy in an Hour

Philosophy for busy people. Read a succinct account of the philosophy of Hegel in just one hour.With Hegel philosophy became very difficult indeed – even the great man himself conceded that ‘only one man understands me, and even he does not.’ His dialectical method produced the most grandiose metaphysical system known to humanity, and included absolutely everything, its most vital element being the dialectic of the thesis, antithesis and synthesis. This method arose from Hegel’s ambition to overcome the deficiencies of logic and ascend towards Mind as the ultimate reality. His view of history as a process of humanity’s self-realisation ultimately inspired Marx to synthesise his philosophy of dialectical materialism.Here is a concise, expert account of Hegel’s life and philosophical ideas – entertainingly written and easy to understand. Also included are selections from Hegel’s work, suggested further reading, and chronologies that place Hegel in the context of the broader scheme of philosophy.

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Rousseau: Philosophy in an Hour

Philosophy for busy people. Read a succinct account of the philosophy of Rousseau in just one hour.In Rousseau we encounter a walking ego, a naked sensibility – his arguments are both deeply stirring and deeply inconsistent. Yet whilst his contemporaries Kant and Hume may have been superior academic philosophers, the sheer power of Rousseau’s ideas was unequalled in his time. It was he who encouraged the introduction of both liberty and irrationality into the public domain, lamenting how ‘man is born free but everywhere he is in chains’.Here is a concise, expert account of Rousseau’s life and philosophical ideas – entertainingly written and easy to understand. Also included are selections from Rousseau’s work, suggested further reading, and chronologies that place Rousseau in the context of the broader scheme of philosophy.

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Error-controlled Adaptive Finite Elements in Solid Mechanics

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