Introduction to Unified Mechanics Theory with Applications

Introduction to Unified Mechanics Theory with Applications

Author: Cemal Basaran

Publisher: Springer Nature

Published: 2023-01-04

Total Pages: 531

ISBN-13: 3031186214

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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.


New Achievements in Continuum Mechanics and Thermodynamics

New Achievements in Continuum Mechanics and Thermodynamics

Author: Bilen Emek Abali

Publisher: Springer

Published: 2019-03-13

Total Pages: 586

ISBN-13: 3030133079

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This book presents a liber amicorum dedicated to Wolfgang H. Müller, and highlights recent advances in Prof. Müller’s major fields of research: continuum mechanics, generalized mechanics, thermodynamics, mechanochemistry, and geomechanics. Over 50 of Prof. Müller’s friends and colleagues contributed to this book, which commemorates his 60th birthday and was published in recognition of his outstanding contributions.


Numerical Methods in Mechanics of Materials

Numerical Methods in Mechanics of Materials

Author: Ken P. Chong

Publisher: CRC Press

Published: 2017-11-27

Total Pages: 318

ISBN-13: 1351380990

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In the dynamic digital age, the widespread use of computers has transformed engineering and science. A realistic and successful solution of an engineering problem usually begins with an accurate physical model of the problem and a proper understanding of the assumptions employed. With computers and appropriate software we can model and analyze complex physical systems and problems. However, efficient and accurate use of numerical results obtained from computer programs requires considerable background and advanced working knowledge to avoid blunders and the blind acceptance of computer results. This book provides the background and knowledge necessary to avoid these pitfalls, especially the most commonly used numerical methods employed in the solution of physical problems. It offers an in-depth presentation of the numerical methods for scales from nano to macro in nine self-contained chapters with extensive problems and up-to-date references, covering: Trends and new developments in simulation and computation Weighted residuals methods Finite difference methods Finite element methods Finite strip/layer/prism methods Boundary element methods Meshless methods Molecular dynamics Multiphysics problems Multiscale methods


Lecture Notes in Engineering

Lecture Notes in Engineering

Author: Kumbakonam Rajagopal

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2023-11-06

Total Pages: 332

ISBN-13: 3110789639

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These lecture notes deal with the behavior of elastic bodies subject to small displacement gradients, namely their linearized elastic response. The framework for describing the nonlinear response of elastic bodies is first put into place and then the linearization is carried out to delineate the status of the linearized theory of elasticity. Easy reading for upper-division and first-year engineering students is provided by a balanced combination of mathematical rigor and physical understanding. This lecture note grew out of a course that the author regularly teaches to undergraduate mechanical engineering students.


Size-Dependent Continuum Mechanics Approaches

Size-Dependent Continuum Mechanics Approaches

Author: Esmaeal Ghavanloo

Publisher: Springer Nature

Published: 2021-04-02

Total Pages: 463

ISBN-13: 3030630501

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This book offers a comprehensive and timely report of size-dependent continuum mechanics approaches. Written by scientists with worldwide reputation and established expertise, it covers the most recent findings, advanced theoretical developments and computational techniques, as well as a range of applications, in the field of nonlocal continuum mechanics. Chapters are concerned with lattice-based nonlocal models, Eringen’s nonlocal models, gradient theories of elasticity, strain- and stress-driven nonlocal models, and peridynamic theory, among other topics. This book provides researchers and practitioners with extensive and specialized information on cutting-edge theories and methods, innovative solutions to current problems and a timely insight into the behavior of some advanced materials and structures. It also offers a useful reference guide to senior undergraduate and graduate students in mechanical engineering, materials science, and applied physics.


Higher Gradient Materials and Related Generalized Continua

Higher Gradient Materials and Related Generalized Continua

Author: Holm Altenbach

Publisher: Springer Nature

Published: 2019-11-04

Total Pages: 246

ISBN-13: 303030406X

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This book discusses recent findings and advanced theories presented at two workshops at TU Berlin in 2017 and 2018. It underlines several advantages of generalized continuum models compared to the classical Cauchy continuum, which although widely used in engineering practice, has a number of limitations, such as: • The structural size is very small. • The microstructure is complex. • The effects are localized. As such, the development of generalized continuum models is helpful and results in a better description of the behavior of structures or materials. At the same time, there are more and more experimental studies supporting the new models because the number of material parameters is higher.


Lobachevsky Geometry and Modern Nonlinear Problems

Lobachevsky Geometry and Modern Nonlinear Problems

Author: Andrey Popov

Publisher: Springer

Published: 2014-08-06

Total Pages: 315

ISBN-13: 3319056697

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This monograph presents the basic concepts of hyperbolic Lobachevsky geometry and their possible applications to modern nonlinear applied problems in mathematics and physics, summarizing the findings of roughly the last hundred years. The central sections cover the classical building blocks of hyperbolic Lobachevsky geometry, pseudo spherical surfaces theory, net geometrical investigative techniques of nonlinear differential equations in partial derivatives, and their applications to the analysis of the physical models. As the sine-Gordon equation appears to have profound “geometrical roots” and numerous applications to modern nonlinear problems, it is treated as a universal “object” of investigation, connecting many of the problems discussed. The aim of this book is to form a general geometrical view on the different problems of modern mathematics, physics and natural science in general in the context of non-Euclidean hyperbolic geometry.


State of the Art and Future Trends in Material Modeling

State of the Art and Future Trends in Material Modeling

Author: Holm Altenbach

Publisher: Springer Nature

Published: 2019-10-23

Total Pages: 530

ISBN-13: 3030303551

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This special anniversary book celebrates the success of this Springer book series highlighting materials modeling as the key to developing new engineering products and applications. In this 100th volume of “Advanced Structured Materials”, international experts showcase the current state of the art and future trends in materials modeling, which is essential in order to fulfill the demanding requirements of next-generation engineering tasks.