Introduction To Unified Mechanics Theory With Applications

Author : Cemal Basaran
Publisher : Springer Nature
Page : 531 pages
File Size : 40,8 Mb
Release : 2023-01-04
Category : Science
ISBN : 9783031186219

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Introduction to Unified Mechanics Theory with Applications by Cemal Basaran Pdf

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 : R. Velmurugan,G. Balaganesan,Naresh Kakur,Krishnan Kanny
Publisher : Springer Nature
Page : 348 pages
File Size : 48,7 Mb
Release : 2024-01-04
Category : Technology & Engineering
ISBN : 9789819962594

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Dynamic Behavior of Soft and Hard Materials, Volume 3 by R. Velmurugan,G. Balaganesan,Naresh Kakur,Krishnan Kanny Pdf

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 : Seongwoo Woo
Publisher : Springer Nature
Page : 431 pages
File Size : 49,6 Mb
Release : 2023-05-27
Category : Technology & Engineering
ISBN : 9783031289385

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Design of Mechanical Systems by Seongwoo Woo Pdf

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 : Cemal Basaran
Publisher : MDPI
Page : 238 pages
File Size : 40,6 Mb
Release : 2021-01-13
Category : Technology & Engineering
ISBN : 9783039438075

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Entropy Based Fatigue, Fracture, Failure Prediction and Structural Health Monitoring by Cemal Basaran Pdf

Traditionally fatigue, fracture, damage mechanics are predictions are based on empirical curve fitting models based on experimental data. However, when entropy is used as the metric for degradation of the material, the modeling process becomes physics based rather than empirical modeling. Because, entropy generation in a material can be calculated from the fundamental equation of thematerial. This collection of manuscripts is about using entropy for "Fatigue, Fracture, Failure Prediction and Structural Health Monitoring". The theoretical paper in the collection provides the mathematical and physics framework behind the unified mechanics theory, which unifies universal laws of motion of Newton and laws of thermodynamics at ab-initio level. Unified Mechanics introduces an additional axis called, Thermodynamic State Index axis which is linearly independent from Newtonian space x, y, z and time. As a result, derivative of displacement with respect to entropy is not zero, in unified mechanics theory, as in Newtonian mechanics. Any material is treated as a thermodynamic system and fundamental equation of the material is derived. Fundamental equation defines entropy generation rate in the system. Experimental papers in the collection prove validity of using entropy as a stable metric for Fatigue, Fracture, Failure Prediction and Structural Health Monitoring.

Author : Mao-Hong Yu
Publisher : Springer Science & Business Media
Page : 440 pages
File Size : 48,6 Mb
Release : 2004-01-08
Category : Science
ISBN : 3540437215

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Unified Strength Theory and Its Applications by Mao-Hong Yu Pdf

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 : NIKIFOROV,UVAROV
Publisher : Springer Science & Business Media
Page : 427 pages
File Size : 43,9 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9781475715958

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Special Functions of Mathematical Physics by NIKIFOROV,UVAROV Pdf

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 : Andrew N. Cleland
Publisher : Springer Science & Business Media
Page : 441 pages
File Size : 46,6 Mb
Release : 2013-03-09
Category : Technology & Engineering
ISBN : 9783662052877

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Foundations of Nanomechanics by Andrew N. Cleland Pdf

This text provides an introduction, at the level of an advanced student in engineering or physics, to the field of nanomechanics and nanomechanical devices. It provides a unified discussion of solid mechanics, transducer applications, and sources of noise and nonlinearity in such devices. Demonstrated applications of these devices, as well as an introduction to fabrication techniques, are also discussed. The text concludes with an overview of future technologies, including the potential use of carbon nanotubes and other molecular assemblies.

Author : Reinhold Kienzler,George Herrmann
Publisher : Springer Science & Business Media
Page : 302 pages
File Size : 43,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642570100

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Mechanics in Material Space by Reinhold Kienzler,George Herrmann Pdf

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 : Wohua Zhang,Yuanqiang Cai
Publisher : Springer Science & Business Media
Page : 937 pages
File Size : 40,7 Mb
Release : 2010-11-19
Category : Science
ISBN : 9783642047084

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Continuum Damage Mechanics and Numerical Applications by Wohua Zhang,Yuanqiang Cai Pdf

"Continuum Damage Mechanics and Numerical Applications" presents a systematic development of the theory of Continuum Damage Mechanics and its numerical engineering applications using a unified form of the mathematical formulations in anisotropic and isotropic damage models. The theoretical framework is based on the thermodynamic theory of energy and material dissipation and is described by a set of fundamental formulations of constitutive equations of damaged materials, development equations of the damaged state, and evolution equations of micro-structures. According to concepts of damage-dissipation of the material state and effective evolution of material properties, all these advanced equations, which take nonsymmetrized effects of damage aspects into account, are developed and modified from the traditional general failure models so they are more easily applied and verified in a wide range of engineering practices by experimental testing. Dr. Wohua Zhang is a Professor at Engineering Mechanics Research Center in Zhejiang University of China. Dr. Yuanqiang Cai is a Professor at Department of Civil Engineering in Zhejiang University of China.

Author : Michel Frémond
Publisher : Springer
Page : 275 pages
File Size : 47,9 Mb
Release : 2016-07-28
Category : Technology & Engineering
ISBN : 9783662526965

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Collisions Engineering: Theory and Applications by Michel Frémond Pdf

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.

Author : Dusan Krajcinovic,Jean Lemaitre
Publisher : Springer
Page : 304 pages
File Size : 55,5 Mb
Release : 1987-12-22
Category : Science
ISBN : UCSD:31822003211711

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Continuum Damage Mechanics Theory and Application by Dusan Krajcinovic,Jean Lemaitre Pdf

Author : Hal F. Brinson,L. Catherine Brinson
Publisher : Springer
Page : 488 pages
File Size : 46,7 Mb
Release : 2015-01-24
Category : Science
ISBN : 9781489974853

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Polymer Engineering Science and Viscoelasticity by Hal F. Brinson,L. Catherine Brinson Pdf

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 : Francesco Bullo,Andrew D. Lewis
Publisher : Springer
Page : 727 pages
File Size : 51,5 Mb
Release : 2019-06-12
Category : Science
ISBN : 9781489972767

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Geometric Control of Mechanical Systems by Francesco Bullo,Andrew D. Lewis Pdf

The area of analysis and control of mechanical systems using differential geometry is flourishing. This book collects many results over the last decade and provides a comprehensive introduction to the area.

Author : D. Hestenes
Publisher : Springer Science & Business Media
Page : 655 pages
File Size : 54,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400948020

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New Foundations for Classical Mechanics by D. Hestenes Pdf

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.

Author : G. Hauke
Publisher : Springer Science & Business Media
Page : 301 pages
File Size : 52,5 Mb
Release : 2008-08-26
Category : Technology & Engineering
ISBN : 9781402085376

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An Introduction to Fluid Mechanics and Transport Phenomena by G. Hauke Pdf

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.