Introduction to Unified Mechanics Theory with Applications

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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.

Unified Strength Theory and Its Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540437215
Total Pages : 440 pages
Book Rating : 4.4/5 (372 download)

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Book Synopsis Unified Strength Theory and Its Applications by : Mao-Hong Yu

Download or read book Unified Strength Theory and Its Applications written by Mao-Hong Yu and published by Springer Science & Business Media. This book was released on 2004-01-08 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: It has been ten years since I presented the paper entitled “A new model and theory on yield and failure of materials under the complex stress state” at the Sixth Conference on Mechanical Behaviour of Materials held at Kyoto, Japan in 1991. The proceedings edited by Jono and Inoue were published by Pergamon Press in 1991. At that conference Professor Murakami and I were invited to act as the chairperson and co-chairperson of a session, and I presented the paper at another session. Few days before the conference, I had given a seminar regarding the tw- shear strength theory and the unified strength theory at Nagoya Technological University. These were the first two presentations of the unified strength theory, although I had completed the research of the unified strength theory in 1990. The paper “Twin-shear strength theory and its generalization” was published in the English edition of Sciences in China, the top journal in China, in 1985. The th original generalized twin-shear strength theory was presented at the 16 International Theoretical and Applied Mechanics Congress held at Copenhagen in Denmark and MPA (MaterialPrüfungsAnstalt) at Stuttgart University, Germany in 1984. After this Congress I visited the MPA and School of Civil Engineering of Stuttgart University, and gave a seminar regarding the generalized twin-shear strength theory at MPA of Stuttgart University. Professor Otto Mohr (1835–1918) has had worked at the Stuttgart University. He was a very good professor, his lectures aroused great interest in his students.

Special Functions of Mathematical Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 1475715951
Total Pages : 443 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Special Functions of Mathematical Physics by : NIKIFOROV

Download or read book Special Functions of Mathematical Physics written by NIKIFOROV and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: With students of Physics chiefly in mind, we have collected the material on special functions that is most important in mathematical physics and quan tum mechanics. We have not attempted to provide the most extensive collec tion possible of information about special functions, but have set ourselves the task of finding an exposition which, based on a unified approach, ensures the possibility of applying the theory in other natural sciences, since it pro vides a simple and effective method for the independent solution of problems that arise in practice in physics, engineering and mathematics. For the American edition we have been able to improve a number of proofs; in particular, we have given a new proof of the basic theorem (§3). This is the fundamental theorem of the book; it has now been extended to cover difference equations of hypergeometric type (§§12, 13). Several sections have been simplified and contain new material. We believe that this is the first time that the theory of classical or thogonal polynomials of a discrete variable on both uniform and nonuniform lattices has been given such a coherent presentation, together with its various applications in physics.

New Foundations for Classical Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 9400948026
Total Pages : 655 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis New Foundations for Classical Mechanics by : D. Hestenes

Download or read book New Foundations for Classical Mechanics written by D. Hestenes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the American physicist J. Willard Gibbs, but for some applications of mechanics the algebra of complex numbers is more efficient than vector algebra, while in other applica tions matrix algebra works better. Geometric algebra integrates all these algebraic systems into a coherent mathematical language which not only retains the advantages of each special algebra but possesses powerful new capabilities. This book covers the fairly standard material for a course on the mechanics of particles and rigid bodies. However, it will be seen that geometric algebra brings new insights into the treatment of nearly every topic and produces simplifications that move the subject quickly to advanced levels. That has made it possible in this book to carry the treatment of two major topics in mechanics well beyond the level of other textbooks. A few words are in order about the unique treatment of these two topics, namely, rotational dynamics and celestial mechanics.

Dynamic Behavior of Soft and Hard Materials, Volume 3

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Publisher : Springer Nature
ISBN 13 : 9819962595
Total Pages : 348 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Dynamic Behavior of Soft and Hard Materials, Volume 3 by : R. Velmurugan

Download or read book Dynamic Behavior of Soft and Hard Materials, Volume 3 written by R. Velmurugan and published by Springer Nature. This book was released on 2024-01-04 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises the select peer-reviewed proceedings of the 13th International Symposium on Plasticity and Impact Mechanics (IMPLAST) 2022. It aims to provide a comprehensive and broad-spectrum picture of the state-of-the-art research and development in diverse areas, such as constitutive relations, theories of plasticity, stress waves in solids, earthquake loading, high-speed impact problems, fire and blast loading, structural crashworthiness and failure, mechanics of penetration and perforation, among others. The contents focus on aspects of large deformations and failure of materials, including metals, composites, cellular, geomaterials, or concrete, and structures resulting from quasi-static earthquake, fire, impact, or blast loading. This book is a valuable resource for researchers and professionals working in academia and industry in the areas of mechanical, materials, and aerospace engineering.

An Introduction to Fluid Mechanics and Transport Phenomena

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Publisher : Springer Science & Business Media
ISBN 13 : 1402085370
Total Pages : 301 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis An Introduction to Fluid Mechanics and Transport Phenomena by : G. Hauke

Download or read book An Introduction to Fluid Mechanics and Transport Phenomena written by G. Hauke and published by Springer Science & Business Media. This book was released on 2008-08-26 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the foundations of fluid mechanics and transport phenomena in a concise way. It is suitable as an introduction to the subject as it contains many examples, proposed problems and a chapter for self-evaluation.

Mechanics in Material Space

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Publisher : Springer Science & Business Media
ISBN 13 : 3642570100
Total Pages : 302 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Mechanics in Material Space by : Reinhold Kienzler

Download or read book Mechanics in Material Space written by Reinhold Kienzler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: A novel and unified presentation of the elements of mechanics in material space or configurational mechanics, with applications to fracture and defect mechanics. The level is kept accessible for any engineer, scientist or graduate possessing some knowledge of calculus and partial differential equations, and working in the various areas where rational use of materials is essential.

Design of Mechanical Systems

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Publisher : Springer Nature
ISBN 13 : 3031289382
Total Pages : 431 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Design of Mechanical Systems by : Seongwoo Woo

Download or read book Design of Mechanical Systems written by Seongwoo Woo and published by Springer Nature. This book was released on 2023-05-27 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes how reliability can be embedded into the product development using a design methodology that uses parametric accelerated lifecycle testing (ALT) . The book has these features: • A new reliability methodology, based on inferential statistics, that can determine whether the reliability of a mechanical/civil system is achieved. • A unique reliability methodology to prevent reliability disasters in new mechanical products in the field, e.g., automobiles and airplanes. • Robust design methodology of mechanical/civil product to withstand a variety of loads. • Explanation of an alternative experimental Taguchi methodology. • Discussion of how parametric ALT can also be used to predict product reliability—lifetime and failure rate. • Detailed case studies that demonstrate parametric ALT methodology. This book will be useful for senior-level undergraduate and graduate students, professional engineers, college and university-level lecturers, researchers, and design managers in mechanical and civil engineering.

Polymer Engineering Science and Viscoelasticity

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Publisher : Springer
ISBN 13 : 1489974857
Total Pages : 488 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Polymer Engineering Science and Viscoelasticity by : Hal F. Brinson

Download or read book Polymer Engineering Science and Viscoelasticity written by Hal F. Brinson and published by Springer. This book was released on 2015-01-24 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unified mechanics and materials perspective on polymers: both the mathematics of viscoelasticity theory as well as the physical mechanisms behind polymer deformation processes. Introductory material on fundamental mechanics is included to provide a continuous baseline for readers from all disciplines. Introductory material on the chemical and molecular basis of polymers is also included, which is essential to the understanding of the thermomechanical response. This self-contained text covers the viscoelastic characterization of polymers including constitutive modeling, experimental methods, thermal response, and stress and failure analysis. Example problems are provided within the text as well as at the end of each chapter. New to this edition: · One new chapter on the use of nano-material inclusions for structural polymer applications and applications such as fiber-reinforced polymers and adhesively bonded structures · Brings up-to-date polymer production and sales data and equipment and procedures for evaluating polymer characterization and classification · The work serves as a comprehensive reference for advanced seniors seeking graduate level courses, first and second year graduate students, and practicing engineers

Introduction to the Variational Formulation in Mechanics

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Publisher : John Wiley & Sons
ISBN 13 : 1119600901
Total Pages : 606 pages
Book Rating : 4.1/5 (196 download)

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Book Synopsis Introduction to the Variational Formulation in Mechanics by : Edgardo O. Taroco

Download or read book Introduction to the Variational Formulation in Mechanics written by Edgardo O. Taroco and published by John Wiley & Sons. This book was released on 2020-02-25 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces readers to the fundamentals and applications of variational formulations in mechanics Nearly 40 years in the making, this book provides students with the foundation material of mechanics using a variational tapestry. It is centered around the variational structure underlying the Method of Virtual Power (MVP). The variational approach to the modeling of physical systems is the preferred approach to address complex mathematical modeling of both continuum and discrete media. This book provides a unified theoretical framework for the construction of a wide range of multiscale models. Introduction to the Variational Formulation in Mechanics: Fundamentals and Applications enables readers to develop, on top of solid mathematical (variational) bases, and following clear and precise systematic steps, several models of physical systems, including problems involving multiple scales. It covers: Vector and Tensor Algebra; Vector and Tensor Analysis; Mechanics of Continua; Hyperelastic Materials; Materials Exhibiting Creep; Materials Exhibiting Plasticity; Bending of Beams; Torsion of Bars; Plates and Shells; Heat Transfer; Incompressible Fluid Flow; Multiscale Modeling; and more. A self-contained reader-friendly approach to the variational formulation in the mechanics Examines development of advanced variational formulations in different areas within the field of mechanics using rather simple arguments and explanations Illustrates application of the variational modeling to address hot topics such as the multiscale modeling of complex material behavior Presentation of the Method of Virtual Power as a systematic tool to construct mathematical models of physical systems gives readers a fundamental asset towards the architecture of even more complex (or open) problems Introduction to the Variational Formulation in Mechanics: Fundamentals and Applications is a ideal book for advanced courses in engineering and mathematics, and an excellent resource for researchers in engineering, computational modeling, and scientific computing.

Collisions Engineering: Theory and Applications

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Publisher : Springer
ISBN 13 : 3662526964
Total Pages : 275 pages
Book Rating : 4.6/5 (625 download)

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Book Synopsis Collisions Engineering: Theory and Applications by : Michel Frémond

Download or read book Collisions Engineering: Theory and Applications written by Michel Frémond and published by Springer. This book was released on 2016-07-28 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates collisions occurring in the motion of solids, in the motion of fluids but also in the motion of pedestrians in crowds. The duration of these presented collisions is short compared to the whole duration of the motion: they are assumed instantaneous. The innovative concept demonstrated in this book is that a system made of two solids, is deformable because their relative position changes. The definition of the velocities of deformation of the system introduced in the classical developments of mechanics, the principle of the virtual work and the laws of thermodynamics, allows a large range of applications such as crowd motions, debris flow motions, and shape memory alloys motions. The set of the applications is even larger: social sciences and mechanics are unified to predict the motion of crowds with application to transport management and to evacuation of theaters management.

Continuum Mechanics

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Publisher : Courier Corporation
ISBN 13 : 048613914X
Total Pages : 191 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Continuum Mechanics by : P. Chadwick

Download or read book Continuum Mechanics written by P. Chadwick and published by Courier Corporation. This book was released on 2012-08-08 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVComprehensive treatment offers 115 solved problems and exercises to promote understanding of vector and tensor theory, basic kinematics, balance laws, field equations, jump conditions, and constitutive equations. /div

Introduction to the Mechanics of a Continuous Medium

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Publisher :
ISBN 13 :
Total Pages : 713 pages
Book Rating : 4.:/5 (23 download)

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Book Synopsis Introduction to the Mechanics of a Continuous Medium by : Lawrence E. Malvern

Download or read book Introduction to the Mechanics of a Continuous Medium written by Lawrence E. Malvern and published by . This book was released on 1969 with total page 713 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Thermodynamics

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Publisher : Courier Corporation
ISBN 13 : 0486135187
Total Pages : 802 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Thermodynamics by : Elias P. Gyftopoulos

Download or read book Thermodynamics written by Elias P. Gyftopoulos and published by Courier Corporation. This book was released on 2012-07-12 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed by two MIT professors, this authoritative text discusses basic concepts and applications in detail, emphasizing generality, definitions, and logical consistency. More than 300 solved problems cover realistic energy systems and processes.

Rigid Body Mechanics

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Publisher : John Wiley & Sons
ISBN 13 : 3527618821
Total Pages : 262 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Rigid Body Mechanics by : William B. Heard

Download or read book Rigid Body Mechanics written by William B. Heard and published by John Wiley & Sons. This book was released on 2008-07-11 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a modern, concise and focused treatment of the mathematical techniques, physical theories and applications of rigid body mechanics, bridging the gap between the geometric and more classical approaches to the topic. It emphasizes the fundamentals of the subject, stresses the importance of notation, integrates the modern geometric view of mechanics and offers a wide variety of examples -- ranging from molecular dynamics to mechanics of robots and planetary rotational dynamics. The author has unified his presentation such that applied mathematicians, mechanical and astro-aerodynamical engineers, physicists, computer scientists and astronomers can all meet the subject on common ground, despite their diverse applications. * Free solutions manual available for lecturers at www.wiley-vch.de/supplements/

Introduction to Representation Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821853511
Total Pages : 240 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Introduction to Representation Theory by : Pavel I. Etingof

Download or read book Introduction to Representation Theory written by Pavel I. Etingof and published by American Mathematical Soc.. This book was released on 2011 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.

Principles of Solid Mechanics

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Publisher : CRC Press
ISBN 13 : 1420042203
Total Pages : 458 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Principles of Solid Mechanics by : Jr., Rowland Richards

Download or read book Principles of Solid Mechanics written by Jr., Rowland Richards and published by CRC Press. This book was released on 2000-12-12 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evolving from more than 30 years of research and teaching experience, Principles of Solid Mechanics offers an in-depth treatment of the application of the full-range theory of deformable solids for analysis and design. Unlike other texts, it is not either a civil or mechanical engineering text, but both. It treats not only analysis but incorporates