Introduction To Unified Mechanics Theory With Applications
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| Author | : Cemal Basaran |
| Publisher | : Springer Nature |
| Total Pages | : 531 |
| Release | : 2023-01-04 |
| Genre | : Science |
| ISBN | : 3031186214 |
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.
| Author | : Mao-Hong Yu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 440 |
| Release | : 2004-01-08 |
| Genre | : Science |
| ISBN | : 9783540437215 |
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.
| Author | : R. Velmurugan |
| Publisher | : Springer Nature |
| Total Pages | : 348 |
| Release | : 2024-01-04 |
| Genre | : Technology & Engineering |
| ISBN | : 9819962595 |
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.
| Author | : Hal F. Brinson |
| Publisher | : Springer |
| Total Pages | : 488 |
| Release | : 2015-01-24 |
| Genre | : Science |
| ISBN | : 1489974857 |
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
| Author | : Seongwoo Woo |
| Publisher | : Springer Nature |
| Total Pages | : 431 |
| Release | : 2023-05-27 |
| Genre | : Technology & Engineering |
| ISBN | : 3031289382 |
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.
| Author | : NIKIFOROV |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 443 |
| Release | : 2013-11-11 |
| Genre | : Mathematics |
| ISBN | : 1475715951 |
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.
| Author | : G. Hauke |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 301 |
| Release | : 2008-08-26 |
| Genre | : Technology & Engineering |
| ISBN | : 1402085370 |
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.
| Author | : Reinhold Kienzler |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 302 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 3642570100 |
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.
| Author | : Edgardo O. Taroco |
| Publisher | : John Wiley & Sons |
| Total Pages | : 606 |
| Release | : 2020-02-25 |
| Genre | : Mathematics |
| ISBN | : 1119600901 |
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.
| Author | : Michael Spivak |
| Publisher | : |
| Total Pages | : 733 |
| Release | : 2010 |
| Genre | : Mechanics |
| ISBN | : 9780914098324 |
