Continuum Mechanics Through The Ages From The Renaissance To The Twentieth Century

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Continuum Mechanics through the Ages - From the Renaissance to the Twentieth Century

Author : Gérard A. Maugin
Publisher : Springer
ISBN 13 : 3319265938
Total Pages : 312 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Continuum Mechanics through the Ages - From the Renaissance to the Twentieth Century by : Gérard A. Maugin

Download or read book Continuum Mechanics through the Ages - From the Renaissance to the Twentieth Century written by Gérard A. Maugin and published by Springer. This book was released on 2015-11-19 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mixing scientific, historic and socio-economic vision, this unique book complements two previously published volumes on the history of continuum mechanics from this distinguished author. In this volume, Gérard A. Maugin looks at the period from the renaissance to the twentieth century and he includes an appraisal of the ever enduring competition between molecular and continuum modelling views. Chapters trace early works in hydraulics and fluid mechanics not covered in the other volumes and the author investigates experimental approaches, essentially before the introduction of a true concept of stress tensor. The treatment of such topics as the viscoelasticity of solids and plasticity, fracture theory, and the role of geometry as a cornerstone of the field, are all explored. Readers will find a kind of socio-historical appraisal of the seminal contributions by our direct masters in the second half of the twentieth century. The analysis of the teaching and research texts by Duhem, Poincaré and Hilbert on continuum mechanics is key: these provide the most valuable documentary basis on which a revival of continuum mechanics and its formalization were offered in the late twentieth century. Altogether, the three volumes offer a generous conspectus of the developments of continuum mechanics between the sixteenth century and the dawn of the twenty-first century. Mechanical engineers, applied mathematicians and physicists alike will all be interested in this work which appeals to all curious scientists for whom continuum mechanics as a vividly evolving science still has its own mysteries.

Generalized Models and Non-classical Approaches in Complex Materials 1

Author : Holm Altenbach
Publisher : Springer
ISBN 13 : 3319724401
Total Pages : 799 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Generalized Models and Non-classical Approaches in Complex Materials 1 by : Holm Altenbach

Download or read book Generalized Models and Non-classical Approaches in Complex Materials 1 written by Holm Altenbach and published by Springer. This book was released on 2018-03-24 with total page 799 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first of 2 special volumes dedicated to the memory of Gérard Maugin. Including 40 papers that reflect his vast field of scientific activity, the contributions discuss non-standard methods (generalized model) to demonstrate the wide range of subjects that were covered by this exceptional scientific leader. The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro–macro aspects, computational endeavors, options for identifying constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.

Non-Classical Continuum Mechanics

Author : Gérard A. Maugin
Publisher : Springer
ISBN 13 : 9811024340
Total Pages : 268 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Non-Classical Continuum Mechanics by : Gérard A. Maugin

Download or read book Non-Classical Continuum Mechanics written by Gérard A. Maugin and published by Springer. This book was released on 2016-09-24 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dictionary offers clear and reliable explanations of over 100 keywords covering the entire field of non-classical continuum mechanics and generalized mechanics, including the theory of elasticity, heat conduction, thermodynamic and electromagnetic continua, as well as applied mathematics. Every entry includes the historical background and the underlying theory, basic equations and typical applications. The reference list for each entry provides a link to the original articles and the most important in-depth theoretical works. Last but not least, ever y entry is followed by a cross-reference to other related subject entries in the dictionary.

Introduction to Unified Mechanics Theory with Applications

Author : Cemal Basaran
Publisher : Springer Nature
ISBN 13 : 3031186214
Total Pages : 531 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Introduction to Unified Mechanics Theory with Applications by : Cemal Basaran

Download or read book Introduction to Unified Mechanics Theory with Applications written by Cemal Basaran and published by Springer Nature. This book was released on 2023-01-04 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition adds new sections on derivation of dynamic equilibrium equations in unified mechanics theory and solution of an example, derivation of very high cycle fatigue thermodynamic fundamental equation and application/verification with two metal fatigue examples, derivation of thermodynamic fundamental equations for metal corrosion, examples of corrosion – fatigue interaction. There is also an example of ultrasonic vibration fatigue and one traditional tension/compression loading in elastic regime. While updated and augmented throughout, the book retains its description of the mathematical formulation and proof of the unified mechanics theory (UMT), which is based on the unification of Newton’s laws and the laws of thermodynamics. It also presents formulations and experimental verifications of the theory for thermal, mechanical, electrical, corrosion, chemical and fatigue loads, and it discusses why the original universal laws of motion proposed by Isaac Newton in 1687 are incomplete. The author provides concrete examples, such as how Newton’s second law, F = ma, gives the initial acceleration of a soccer ball kicked by a player, but does not tell us how and when the ball would come to a stop. Over the course of the text, Dr. Basaran illustrates that Newtonian mechanics does not account for the thermodynamic changes happening in a system over its usable lifetime. And in this context, this book explains how to design a system to perform its intended functions safely over its usable life time and predicts the expected lifetime of the system without using empirical models, a process currently done using Newtonian mechanics and empirical degradation/failure/fatigue models which are curve-fit to test data. Written as a textbook suitable for upper-level undergraduate mechanics courses, as well as first year graduate level courses, this book is the result of over 25 years of scientific activity with the contribution of dozens of scientists from around the world.

Advanced Topics in Mechanics of Materials, Structures and Construction

Author : Erasmo Carrera
Publisher : Materials Research Forum LLC
ISBN 13 : 1644902591
Total Pages : 833 pages
Book Rating : 4.6/5 (449 download)

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Book Synopsis Advanced Topics in Mechanics of Materials, Structures and Construction by : Erasmo Carrera

Download or read book Advanced Topics in Mechanics of Materials, Structures and Construction written by Erasmo Carrera and published by Materials Research Forum LLC. This book was released on 2023-09-01 with total page 833 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents 81 papers referring to the properties and applications of technologically important materials. Topics covered include material characterization, environmental impact, probabilistic assessment, failure analysis, vibration analysis, AI-based predictions, conceptual models, thermo-mechanical properties, numerical models, design and simulation, industrial performance and failure analysis. Keywords: Laminated Sandwich Shell, Polymer Nanocomposite, Cellular Glass Foam, Porous Spherical Shells, Cracks Between Dissimilar Materials, Soil Stabilization, Dynamic Strain Aging, Composite Plates, Recycled Concrete Aggregates, Preparation & Characterization of Nanoparticles, Auxetic Materials, Biomechanical Model, Cellular Lightweight Concrete, Thermoplastic Materials, Powder Metal Gears, Fibre Reinforced Concrete, Adhesively Bonded Composites, Solar PV Power, Kirigami Folded Structures, Steel Fibres, Solar Panels, Electric Discharge Machining, Energy Harvesting, Energy Conversion, Glass/Epoxy Pipe, Manufacturing Strategy, Additive Manufacturing, Fibre-Reinforced Aluminum, Telescopic Paraboloidal Solar Concentrator, Energy Storage, Machining Waste Fibers, Numerical Simulation, Foam Concrete, Heat Exchangers, Nanofluids, Spherical Cavity Explosion, Cross-Ply Structure, Reinforced Concrete Walls, Artificial Intelligence, l-shaped Metamaterials, Sand-Bentonite Liners, Layered Composite Arches, Stitched Sandwich Structures, Semilinear Hyperelastic Solids, Filament Fabrication, Polyethylene Bottles, Spherical Shells, Steel Boiler Tub, Mortars, 3D Printing, Electromagnetic Forming.

Compendium on Gradient Materials

Author : Albrecht Bertram
Publisher : Springer Nature
ISBN 13 : 3031045009
Total Pages : 307 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Compendium on Gradient Materials by : Albrecht Bertram

Download or read book Compendium on Gradient Materials written by Albrecht Bertram and published by Springer Nature. This book was released on 2022-05-28 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers frameworks for the material modeling of gradient materials both for finite and small deformations within elasticity, plasticity, viscosity, and thermomechanics. The first chapter focuses on balance laws and holds for all gradient materials. The next chapters are dedicated to the material modeling of second and third-order materials under finite deformations. Afterwards the scope is limited to the geometrically linear theory, i.e., to small deformations. The next chapter offers an extension of the concept of internal constraints to gradient materials. The final chapter is dedicated to incompressible viscous gradient fluids with the intention to describe, among other applications, turbulent flows, as already suggested by Saint-Venant in the middle of the 19th century.

Fundamentals of Optical Waves and Lasers

Author : Sanichiro Yoshida
Publisher : Springer Nature
ISBN 13 : 3031181883
Total Pages : 184 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Fundamentals of Optical Waves and Lasers by : Sanichiro Yoshida

Download or read book Fundamentals of Optical Waves and Lasers written by Sanichiro Yoshida and published by Springer Nature. This book was released on 2023-01-13 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses light, its properties as an electromagnetic wave, interaction with matter, and laser as an optical device. The first part discussions include qualitative arguments such as pictorial representations of the wave dynamics and analogy to other oscillatory systems to facilitate an intuitive understanding of the topics. The second part reviews light-matter interaction. It introduces the light-matter interaction while introducing the particular behavior of light, known as the photon, reviewing various properties of light waves resulting from the interaction with matters including the propagation of light in media. The last two sections focus on the fundamentals of lasers and the practical uses of lasers, including several techniques to control the spatial and temporal characteristics of laser beams. This book discusses acoustic waves' characteristics so that we can deepen our understanding of acoustic waves.

Gears

Author : Vincenzo Vullo
Publisher : Springer Nature
ISBN 13 : 3030401642
Total Pages : 262 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Gears by : Vincenzo Vullo

Download or read book Gears written by Vincenzo Vullo and published by Springer Nature. This book was released on 2020-02-14 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a compact history of gears, by summarizing the main stages of their development and the corresponding gradual acquisition of engineering expertise, from the antiquity to the Renaissance and the twentieth century. This brief history makes no claim to be exhaustive, since the topic is so extensive, complex and fascinating that it deserves an entire encyclopedia. Despite its brevity, the book debunks a number of popular misconceptions, such as the belief that the first literary description of a gear was supplied by Aristotle. It disproves not only this myth, but also other peremptory statements and/or axiomatic assumptions that have no basis in written documents, archaeological findings or other factual evidence. The book is chiefly intended for students and lecturers, historians of science and scientists, and all those who want to learn about the genesis and evolution of this topic.

Advances in Mechanics of Microstructured Media and Structures

Author : Francesco dell'Isola
Publisher : Springer
ISBN 13 : 3319736949
Total Pages : 368 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Advances in Mechanics of Microstructured Media and Structures by : Francesco dell'Isola

Download or read book Advances in Mechanics of Microstructured Media and Structures written by Francesco dell'Isola and published by Springer. This book was released on 2018-02-27 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an homage to the pioneering works of E. Aero and G. Maugin in the area of analytical description of generalized continua. It presents a collection of contributions on micropolar, micromorphic and strain gradient media, media with internal variables, metamaterials, beam lattices, liquid crystals, and others. The main focus is on wave propagation, stability problems, homogenization, and relations between discrete and continuous models.

Advanced Methods of Continuum Mechanics for Materials and Structures

Author : Konstantin Naumenko
Publisher : Springer
ISBN 13 : 9811009597
Total Pages : 555 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Advanced Methods of Continuum Mechanics for Materials and Structures by : Konstantin Naumenko

Download or read book Advanced Methods of Continuum Mechanics for Materials and Structures written by Konstantin Naumenko and published by Springer. This book was released on 2016-05-12 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of contributions on advanced approaches of continuum mechanics, which were written to celebrate the 60th birthday of Prof. Holm Altenbach. The contributions are on topics related to the theoretical foundations for the analysis of rods, shells and three-dimensional solids, formulation of constitutive models for advanced materials, as well as development of new approaches to the modeling of damage and fractures.

Continuum Mechanics Through the Twentieth Century

Author : Gerard A Maugin
Publisher : Springer Science & Business Media
ISBN 13 : 9400763530
Total Pages : 321 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Continuum Mechanics Through the Twentieth Century by : Gerard A Maugin

Download or read book Continuum Mechanics Through the Twentieth Century written by Gerard A Maugin and published by Springer Science & Business Media. This book was released on 2013-04-08 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This overview of the development of continuum mechanics throughout the twentieth century is unique and ambitious. Utilizing a historical perspective, it combines an exposition on the technical progress made in the field and a marked interest in the role played by remarkable individuals and scientific schools and institutions on a rapidly evolving social background. It underlines the newly raised technical questions and their answers, and the ongoing reflections on the bases of continuum mechanics associated, or in competition, with other branches of the physical sciences, including thermodynamics. The emphasis is placed on the development of a more realistic modeling of deformable solids and the exploitation of new mathematical tools. The book presents a balanced appraisal of advances made in various parts of the world. The author contributes his technical expertise, personal recollections, and international experience to this general overview, which is very informative albeit concise.

The Rational Spirit in Modern Continuum Mechanics

Author : Chi-Sing Man
Publisher : Springer Science & Business Media
ISBN 13 : 1402023081
Total Pages : 828 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Rational Spirit in Modern Continuum Mechanics by : Chi-Sing Man

Download or read book The Rational Spirit in Modern Continuum Mechanics written by Chi-Sing Man and published by Springer Science & Business Media. This book was released on 2006-01-19 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through his voluminous and in?uential writings, editorial activities, organi- tional leadership, intellectual acumen, and strong sense of history, Clifford - brose Truesdell III (1919–2000) was the main architect for the renaissance of - tional continuum mechanics since the middle of the twentieth century. The present collection of 42 essays and research papers pays tribute to this man of mathematics, science, and natural philosophy as well as to his legacy. The ?rst ?ve essays by B. D. Coleman, E. Giusti, W. Noll, J. Serrin, and D. Speiser were texts of addresses given by their authors at the Meeting in memory of Clifford Truesdell, which was held in Pisa in November 2000. In these essays the reader will ?nd personal reminiscences of Clifford Truesdell the man and of some of his activities as scientist, author, editor, historian of exact sciences, and principal founding member of the Society for Natural Philosophy. The bulk of the collection comprises 37 research papers which bear witness to the Truesdellian legacy. These papers cover a wide range of topics; what ties them together is the rational spirit. Clifford Truesdell, in his address upon receipt of a Birkhoff Prize in 1978, put the essence of modern continuum mechanics succinctly as “conceptual analysis, analysis not in the sense of the technical term but in the root meaning: logical criticism, dissection, and creative scrutiny.

Making 20th Century Science

Author : Stephen G. Brush
Publisher : Oxford University Press
ISBN 13 : 0199978514
Total Pages : 553 pages
Book Rating : 4.1/5 (999 download)

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Book Synopsis Making 20th Century Science by : Stephen G. Brush

Download or read book Making 20th Century Science written by Stephen G. Brush and published by Oxford University Press. This book was released on 2015-03-16 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historically, the scientific method has been said to require proposing a theory, making a prediction of something not already known, testing the prediction, and giving up the theory (or substantially changing it) if it fails the test. A theory that leads to several successful predictions is more likely to be accepted than one that only explains what is already known but not understood. This process is widely treated as the conventional method of achieving scientific progress, and was used throughout the twentieth century as the standard route to discovery and experimentation. But does science really work this way? In Making 20th Century Science, Stephen G. Brush discusses this question, as it relates to the development of science throughout the last century. Answering this question requires both a philosophically and historically scientific approach, and Brush blends the two in order to take a close look at how scientific methodology has developed. Several cases from the history of modern physical and biological science are examined, including Mendeleev's Periodic Law, Kekule's structure for benzene, the light-quantum hypothesis, quantum mechanics, chromosome theory, and natural selection. In general it is found that theories are accepted for a combination of successful predictions and better explanations of old facts. Making 20th Century Science is a large-scale historical look at the implementation of the scientific method, and how scientific theories come to be accepted.

Mathematical Methods in Continuum Mechanics of Solids

Author : Martin Kružík
Publisher : Springer
ISBN 13 : 3030020657
Total Pages : 624 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Mathematical Methods in Continuum Mechanics of Solids by : Martin Kružík

Download or read book Mathematical Methods in Continuum Mechanics of Solids written by Martin Kružík and published by Springer. This book was released on 2019-03-02 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book primarily focuses on rigorous mathematical formulation and treatment of static problems arising in continuum mechanics of solids at large or small strains, as well as their various evolutionary variants, including thermodynamics. As such, the theory of boundary- or initial-boundary-value problems for linear or quasilinear elliptic, parabolic or hyperbolic partial differential equations is the main underlying mathematical tool, along with the calculus of variations. Modern concepts of these disciplines as weak solutions, polyconvexity, quasiconvexity, nonsimple materials, materials with various rheologies or with internal variables are exploited. This book is accompanied by exercises with solutions, and appendices briefly presenting the basic mathematical concepts and results needed. It serves as an advanced resource and introductory scientific monograph for undergraduate or PhD students in programs such as mathematical modeling, applied mathematics, computational continuum physics and engineering, as well as for professionals working in these fields.

A Journey Into the Nonlinear World

Author : Jüri Engelbrecht
Publisher : Springer Nature
ISBN 13 : 3031639227
Total Pages : 117 pages
Book Rating : 4.0/5 (316 download)

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Book Synopsis A Journey Into the Nonlinear World by : Jüri Engelbrecht

Download or read book A Journey Into the Nonlinear World written by Jüri Engelbrecht and published by Springer Nature. This book was released on 2024 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a personal story about being involved in the study of nonlinear phenomena for more than half a century. The focus is on the development of ideas and the resulting knowledge. This is the visible part of research, but much is usually hidden. The author describes how the ideas were generated and how an "invisible college" of friends and colleagues has emerged. The presentation is spiced by thoughts about the beauty of science and philosophical considerations on the complex world, where nonlinear interactions play an important role. The book is in some sense a biography but not so much about the personal life of the author -- it is about science and its actors. Based on the author's experience in many European research centres and science policy institutions, it reflects on the development of knowledge in nonlinear dynamics as well as science policy actions over the second half of the 20th century and the first quarter of the 21st century. Graduates and postgraduates interested in the progress of research will find the book particularly engaging.

Geometric Continuum Mechanics and Induced Beam Theories

Author : Simon R. Eugster
Publisher : Springer
ISBN 13 : 3319164953
Total Pages : 146 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Geometric Continuum Mechanics and Induced Beam Theories by : Simon R. Eugster

Download or read book Geometric Continuum Mechanics and Induced Beam Theories written by Simon R. Eugster and published by Springer. This book was released on 2015-03-19 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph discusses novel approaches to geometric continuum mechanics and introduces beams as constraint continuous bodies. In the coordinate free and metric independent geometric formulation of continuum mechanics as well as for beam theories, the principle of virtual work serves as the fundamental principle of mechanics. Based on the perception of analytical mechanics that forces of a mechanical system are defined as dual quantities to the kinematical description, the virtual work approach is a systematic way to treat arbitrary mechanical systems. Whereas this methodology is very convenient to formulate induced beam theories, it is essential in geometric continuum mechanics when the assumptions on the physical space are relaxed and the space is modeled as a smooth manifold. The book addresses researcher and graduate students in engineering and mathematics interested in recent developments of a geometric formulation of continuum mechanics and a hierarchical development of induced beam theories.

Cardiovascular Solid Mechanics

Author : Jay D. Humphrey
Publisher : Springer Science & Business Media
ISBN 13 : 038721576X
Total Pages : 766 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Cardiovascular Solid Mechanics by : Jay D. Humphrey

Download or read book Cardiovascular Solid Mechanics written by Jay D. Humphrey and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents a general introduction to soft tissue biomechanics. One of its primary goals is to introduce basic analytical, experimental and computational methods. In doing so, it enables readers to gain a relatively complete understanding of the biomechanics of the heart and vasculature.