# Nonlinear Differential Equations in Micro/nano Mechanics

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## Nonlinear Differential Equations in Micro nano Mechanics

Author | : Ali Koochi,Mohamadreza Abadyan |

Publsiher | : Elsevier |

Total Pages | : 270 |

Release | : 2020-05-01 |

ISBN 10 | : 0128192364 |

ISBN 13 | : 9780128192368 |

Language | : EN, FR, DE, ES & NL |

**Nonlinear Differential Equations in Micro nano Mechanics Book Review:**

Nonlinear Differential Equations in Micro/nano Mechanics: Application in Micro/Nano Structures in Electromechanical Systems presents a variety of various efficient methods, including Homotropy methods, Adomian methods, reduced order methods and numerical methods for solving the nonlinear governing equation of micro/nanostructures. Various structures, including beam type micro/nano-electromechanical systems (MEMS/NEMS), carbon nanotube and graphene actuators, nano-tweezers, nano-bridges, plate-type microsystems and rotational micromirrors are modeled. Nonlinearity due to physical phenomena such as dispersion forces, damping, surface energies, microstructure-dependency, non-classic boundary conditions and geometry, and more is included. Establishes the theoretical foundation required for the modeling, simulation and theoretical analysis of micro/nanostructures and MEMS/NEMS (continuum-based solid mechanics) Covers various solution methods for investigating the behavior of nanostructures (applied mathematics) Provides the simulation of different physical phenomena of covered nanostructures

## Nonlinear Differential Equations in Micro Nano Mechanics

Author | : Ali Koochi,Mohamadreza Abadyan |

Publsiher | : Elsevier |

Total Pages | : 135 |

Release | : 2020-05-29 |

ISBN 10 | : 0128192356 |

ISBN 13 | : 9780128192351 |

Language | : EN, FR, DE, ES & NL |

**Nonlinear Differential Equations in Micro Nano Mechanics Book Review:**

Small-scale continuum mechanics theories are powerful tools for modelling miniature structures. By solving the governing equations of structural motion, the physical behaviour of these systems such as static behaviour, vibration and instability can be studied. However, this approach leads to strongly nonlinear ordinary or partial differential equations; there are usually no analytical solutions for these equations. This book presents a variety of various efficient methods, including Homotopy methods, Adomian methods, reduced order methods, numerical methods, for solving the nonlinear governing equation of micro/nanostructures. Various structures including beam type micro/nano-electromechanical systems (MEMS/NEMS), carbon nanotube and graphene actuators, nano-tweezers, nano-bridges, plate-type microsystems and rotational micromirrors are modelled. Nonlinearity due to physical phenomena such as dispersion forces, damping, surface energies, microstructure-dependency, non-classic boundary conditions and geometry, fluid-solid interactions, elctromechanical instability, electromagnetic instability, nonlocal and size-dependency, are considered in the governing equations. For each solution method several examples are solved in order to better understanding the proposed methods. This is an important resource for both materials scientists and mechanical engineers, who want to understand more about the underlying theories of nanostructure mechanical behaviour.

## Introduction to Micromechanics and Nanomechanics

Author | : Shaofan Li,Gang Wang |

Publsiher | : World Scientific Publishing Company |

Total Pages | : 660 |

Release | : 2017-12-05 |

ISBN 10 | : 981443678X |

ISBN 13 | : 9789814436786 |

Language | : EN, FR, DE, ES & NL |

**Introduction to Micromechanics and Nanomechanics Book Review:**

This book presents a systematic treatise on micromechanics and nanomechanics, which encompasses many important research and development areas such as composite materials and homogenizations, mechanics of quantum dots, multiscale analysis and mechanics, defect mechanics of solids including fracture and dislocation mechanics, etc. In this second edition, some previous chapters are revised, and some new chapters added — crystal plasticity, multiscale crystal defect dynamics, quantum force and stress, micromechanics of metamaterials, and micromorphic theory. The book serves primarily as a graduate textbook and intended as a reference book for the next generation of scientists and engineers. It also has a unique pedagogical style that is specially suitable for self-study and self-learning for many researchers and professionals who do not have time attending classes and lectures.

## Handbook of Micromechanics and Nanomechanics

Author | : Shaofan Li,Xin-Lin Gao |

Publsiher | : CRC Press |

Total Pages | : 1264 |

Release | : 2013-04-08 |

ISBN 10 | : 981441123X |

ISBN 13 | : 9789814411233 |

Language | : EN, FR, DE, ES & NL |

**Handbook of Micromechanics and Nanomechanics Book Review:**

This book presents the latest developments and applications of micromechanics and nanomechanics. It particularly focuses on some recent applications and impact areas of micromechanics and nanomechanics that have not been discussed in traditional micromechanics and nanomechanics books on metamaterials, micromechanics of ferroelectric/piezoelectric, electromagnetic materials, micromechanics of interface, size effects and strain gradient theories, computational and experimental nanomechanics, multiscale simulations and theories, soft matter composites, and computational homogenization theory. This book covers analytical, experimental, as well as computational and numerical approaches in depth.

## Handbook of Nanoscience Engineering and Technology

Author | : William A. Goddard III,Donald Brenner,Sergey Edward Lyshevski,Gerald J Iafrate |

Publsiher | : CRC Press |

Total Pages | : 824 |

Release | : 2002-10-29 |

ISBN 10 | : 9780849312007 |

ISBN 13 | : 0849312000 |

Language | : EN, FR, DE, ES & NL |

**Handbook of Nanoscience Engineering and Technology Book Review:**

Nanotechnology, science, and engineering spearhead the 21st century revolution that is leading to fundamental breakthroughs in the way materials, devices, and systems are understood, designed, made, and used. With contributions from a host of world-class experts and pioneers in the field, this handbook sets forth the fundamentals of nanoelectromechanical systems (NEMS), studies their fabrication, and explores some of their most promising applications. It provides comprehensive information and references for nanoscale structures, devices, and systems, molecular technology and nanoelectromechanical theory, and promises to become a standard reference for the field.

## Nano and Micro Electromechanical Systems

Author | : Sergey Edward Lyshevski |

Publsiher | : CRC Press |

Total Pages | : 744 |

Release | : 2018-10-03 |

ISBN 10 | : 1420057936 |

ISBN 13 | : 9781420057935 |

Language | : EN, FR, DE, ES & NL |

**Nano and Micro Electromechanical Systems Book Review:**

Society is approaching and advancing nano- and microtechnology from various angles of science and engineering. The need for further fundamental, applied, and experimental research is matched by the demand for quality references that capture the multidisciplinary and multifaceted nature of the science. Presenting cutting-edge information that is applicable to many fields, Nano- and Micro-Electromechanical Systems: Fundamentals of Nano and Microengineering, Second Edition builds the theoretical foundation for understanding, modeling, controlling, simulating, and designing nano- and microsystems. The book focuses on the fundamentals of nano- and microengineering and nano- and microtechnology. It emphasizes the multidisciplinary principles of NEMS and MEMS and practical applications of the basic theory in engineering practice and technology development. Significantly revised to reflect both fundamental and technological aspects, this second edition introduces the concepts, methods, techniques, and technologies needed to solve a wide variety of problems related to high-performance nano- and microsystems. The book is written in a textbook style and now includes homework problems, examples, and reference lists in every chapter, as well as a separate solutions manual. It is designed to satisfy the growing demands of undergraduate and graduate students, researchers, and professionals in the fields of nano- and microengineering, and to enable them to contribute to the nanotechnology revolution.

## Analytical Methods in Nonlinear Oscillations

Author | : Ebrahim Esmailzadeh,Davood Younesian,Hassan Askari |

Publsiher | : Springer |

Total Pages | : 286 |

Release | : 2018-06-29 |

ISBN 10 | : 9402415424 |

ISBN 13 | : 9789402415421 |

Language | : EN, FR, DE, ES & NL |

**Analytical Methods in Nonlinear Oscillations Book Review:**

This book covers both classical and modern analytical methods in nonlinear systems. A wide range of applications from fundamental research to engineering problems are addressed. The book contains seven chapters, each with miscellaneous problems and their detailed solutions. More than 100 practice problems are illustrated, which might be useful for students and researchers in the areas of nonlinear oscillations and applied mathematics. With providing real world examples, this book shows the multidisciplinary emergence of nonlinear dynamical systems in a wide range of applications including mechanical and electrical oscillators, micro/nano resonators and sensors, and also modelling of global warming, epidemic diseases, sociology, chemical reactions, biology and ecology.

## Application of Nonlinear Systems in Nanomechanics and Nanofluids

Author | : Davood Domairry Ganji,Sayyid Habibollah Hashemi Kachapi |

Publsiher | : William Andrew |

Total Pages | : 412 |

Release | : 2015-03-19 |

ISBN 10 | : 0323353819 |

ISBN 13 | : 9780323353816 |

Language | : EN, FR, DE, ES & NL |

**Application of Nonlinear Systems in Nanomechanics and Nanofluids Book Review:**

With Application of Nonlinear Systems in Nanomechanics and Nanofluids the reader gains a deep and practice-oriented understanding of nonlinear systems within areas of nanotechnology application as well as the necessary knowledge enabling the handling of such systems. The book helps readers understand relevant methods and techniques for solving nonlinear problems, and is an invaluable reference for researchers, professionals and PhD students interested in research areas and industries where nanofluidics and dynamic nano-mechanical systems are studied or applied. The book is useful in areas such as nanoelectronics and bionanotechnology, and the underlying framework can also be applied to other problems in various fields of engineering and applied sciences. Provides comprehensive coverage of nano-dynamical systems and their specialized processes and applications in the context of nonlinear differential equations and analytical methods Enables researchers and engineers to better model, interpret and control nanofluidics and other nano-dynamical systems and their application processes Explains nano-dynamical systems by means of describing ‘real-life’ application case studies

## Mechanics and Mechatronics icmm2015 Proceedings of the 2015 International Conference

Author | : A. Mehran Shahhosseini |

Publsiher | : World Scientific |

Total Pages | : 1250 |

Release | : 2015-11-02 |

ISBN 10 | : 9814699144 |

ISBN 13 | : 9789814699143 |

Language | : EN, FR, DE, ES & NL |

**Mechanics and Mechatronics icmm2015 Proceedings of the 2015 International Conference Book Review:**

## Modern Trends in Structural and Solid Mechanics 2

Author | : Noel Challamel,Julius Kaplunov,Izuru Takewaki |

Publsiher | : John Wiley & Sons |

Total Pages | : 304 |

Release | : 2021-06-08 |

ISBN 10 | : 1119831849 |

ISBN 13 | : 9781119831846 |

Language | : EN, FR, DE, ES & NL |

**Modern Trends in Structural and Solid Mechanics 2 Book Review:**

This book – comprised of three separate volumes – presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This second volume is devoted to the vibrations of solid and structural members. Modern Trends in Structural and Solid Mechanics 2 has broad scope, covering topics such as: exact and approximate vibration solutions of rods, beams, membranes, plates and three-dimensional elasticity problems, BolotinÂs dynamic edge effect, the principles of plate theories in dynamics, nano- and microbeams, nonlinear dynamics of shear extensible beams, the vibration and aeroelastic stability behavior of cellular beams, the dynamic response of elastoplastic softening oscillators, the complex dynamics of hysteretic oscillators, bridging waves, and the three-dimensional propagation of waves. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.

## Modern Trends in Structural and Solid Mechanics 1

Author | : Noel Challamel,Julius Kaplunov,Izuru Takewaki |

Publsiher | : John Wiley & Sons |

Total Pages | : 304 |

Release | : 2021-06-29 |

ISBN 10 | : 1786307146 |

ISBN 13 | : 9781786307149 |

Language | : EN, FR, DE, ES & NL |

**Modern Trends in Structural and Solid Mechanics 1 Book Review:**

This book - comprised of three separate volumes - presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This first volume is devoted to the statics and stability of solid and structural members. Modern Trends in Structural and Solid Mechanics 1 has broad scope, covering topics such as: buckling of discrete systems (elastic chains, lattices with short and long range interactions, and discrete arches), buckling of continuous structural elements including beams, arches and plates, static investigation of composite plates, exact solutions of plate problems, elastic and inelastic buckling, dynamic buckling under impulsive loading, buckling and post-buckling investigations, buckling of conservative and non-conservative systems and buckling of micro and macro-systems. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.

## Micromechanics and Nanomechanics of Composite Solids

Author | : Shaker A. Meguid,George J Weng |

Publsiher | : Springer |

Total Pages | : 519 |

Release | : 2017-07-19 |

ISBN 10 | : 3319527940 |

ISBN 13 | : 9783319527949 |

Language | : EN, FR, DE, ES & NL |

**Micromechanics and Nanomechanics of Composite Solids Book Review:**

This book elucidates the most recent and highly original developments in the fields of micro- and nanomechanics and the corresponding homogenization techniques that can be reliably adopted and applied in determining the local properties, as well as the linear and nonlinear effective properties of the final architecture of these complex composite structures. Specifically, this volume, divided into three main sections—Fundamentals, Modeling, and Applications—provides recent developments in the mathematical framework of micro- and nanomechanics, including Green’s function and Eshelby’s inclusion problem, molecular mechanics, molecular dynamics, atomistic based continuum, multiscale modeling, and highly localized phenomena such as microcracks and plasticity. It is a compilation of the most recent efforts by a group of the world’s most talented and respected researchers. Ideal for graduate students in aerospace, mechanical, civil, material science, life sciences, and biomedical engineering, researchers, practicing engineers, and consultants, the book provides a unified approach in compiling micro- and nano-scale phenomena. · Elucidates recent and highly original developments in the fields of micromechanics and nanomechanics and the corresponding homogenization techniques; · Includes several new topics that are not covered in the current literature, such as micromechanics of metamaterials, electrical conductivity of CNT and graphene nanocomposites, ferroelectrics, piezoelectric, and electromagnetic materials; · Addresses highly localized phenomena such as coupled field problems, microcracks, inelasticity, dispersion of CNTs, synthesis, characterization and a number of interesting applications; · Maximizes readers’ ability to apply theories of micromechanics and nanomechanics to heterogeneous solids; · Illustrates application of micro- and nanomechanical theory to design novel composite and nanocomposite materials.

## Metallic Micro and Nano Materials

Author | : Masumi Saka |

Publsiher | : Springer Science & Business Media |

Total Pages | : 238 |

Release | : 2011-01-04 |

ISBN 10 | : 3642154115 |

ISBN 13 | : 9783642154119 |

Language | : EN, FR, DE, ES & NL |

**Metallic Micro and Nano Materials Book Review:**

This book focuses on the metallic Nano- and Micro-materials (NMMs) fabricated by physical techniques such as atomic diffusion. A new technology for fabricating NMMs by atomic diffusion is presented. Two kinds of atomic diffusion are treated; one is a phenomenon caused by electron flow in high density and called electromigration and the other is stress migration which depends on a gradient of hydrostatic stress in a material. In three parts, the book describes the theory of atomic diffusion, the evaluation of physical properties and the treatment and applications of metallic NNMS. The new methods such as atomic diffusion are expected are expected to be crucial for the fabrication of NNMs in the future and to partially replace methods based on chemical reactions.

## MEMS and NEMS

Author | : Sergey Edward Lyshevski |

Publsiher | : CRC Press |

Total Pages | : 461 |

Release | : 2018-10-03 |

ISBN 10 | : 1351836137 |

ISBN 13 | : 9781351836135 |

Language | : EN, FR, DE, ES & NL |

**MEMS and NEMS Book Review:**

The development of micro- and nano-mechanical systems (MEMS and NEMS) foreshadows momentous changes not only in the technological world, but in virtually every aspect of human life. The future of the field is bright with opportunities, but also riddled with challenges, ranging from further theoretical development through advances in fabrication technologies, to developing high-performance nano- and microscale systems, devices, and structures, including transducers, switches, logic gates, actuators and sensors. MEMS and NEMS: Systems, Devices, and Structures is designed to help you meet those challenges and solve fundamental, experimental, and applied problems. Written from a multi-disciplinary perspective, this book forms the basis for the synthesis, modeling, analysis, simulation, control, prototyping, and fabrication of MEMS and NEMS. The author brings together the various paradigms, methods, and technologies associated with MEMS and NEMS to show how to synthesize, analyze, design, and fabricate them. Focusing on the basics, he illustrates the development of NEMS and MEMS architectures, physical representations, structural synthesis, and optimization. The applications of MEMS and NEMS in areas such as biotechnology, medicine, avionics, transportation, and defense are virtually limitless. This book helps prepare you to take advantage of their inherent opportunities and effectively solve problems related to their configurations, systems integration, and control.

## Optimizations and Programming

Author | : Abdelkhalak El Hami,Bouchaib Radi |

Publsiher | : John Wiley & Sons |

Total Pages | : 288 |

Release | : 2021-04-08 |

ISBN 10 | : 1119818257 |

ISBN 13 | : 9781119818250 |

Language | : EN, FR, DE, ES & NL |

**Optimizations and Programming Book Review:**

This book is a general presentation of complex systems, examined from the point of view of management. There is no standard formula to govern such systems, nor to effectively understand and respond to them. The interdisciplinary theory of self-organization is teeming with examples of living systems that can reorganize at a higher level of complexity when confronted with an external challenge of a certain magnitude. Modern businesses, considered as complex systems, ideally know how to flexibly and resiliently adapt to their environment, and also how to prepare for change via self-organization. Understanding sources of potential crisis is essential for leaders, though not all crises are necessarily bad news, as creative firms know how to respond to challenges through innovation: new products and markets, organizational learning for collective intelligence, and more.

## Acoustics and Vibration of Mechanical Structures AVMS 2017

Author | : Nicolae Herisanu,Vasile Marinca |

Publsiher | : Springer |

Total Pages | : 420 |

Release | : 2017-12-21 |

ISBN 10 | : 3319698230 |

ISBN 13 | : 9783319698236 |

Language | : EN, FR, DE, ES & NL |

**Acoustics and Vibration of Mechanical Structures AVMS 2017 Book Review:**

This book is a collection of papers presented at Acoustics and Vibration of Mechanical Structures 2017 – AVMS 2017 – highlighting the current trends and state-of-the-art developments in the field. It covers a broad range of topics, such as noise and vibration control, noise and vibration generation and propagation, the effects of noise and vibration, condition monitoring and vibration testing, modeling, prediction and simulation of noise and vibration, environmental and occupational noise and vibration, noise and vibration attenuators, as well as biomechanics and bioacoustics. The book also presents analytical, numerical and experimental techniques for evaluating linear and non-linear noise and vibration problems (including strong nonlinearity). It is primarily intended for academics, researchers and professionals, as well as PhD students in various fields of the acoustics and vibration of mechanical structures.

## Heat Transfer 2

Author | : Michel Ledoux,Abdelkhalak El Hami |

Publsiher | : John Wiley & Sons |

Total Pages | : 256 |

Release | : 2021-03-12 |

ISBN 10 | : 1119821282 |

ISBN 13 | : 9781119821281 |

Language | : EN, FR, DE, ES & NL |

**Heat Transfer 2 Book Review:**

Heat is a branch of thermodynamics that occupies a unique position due to its involvement in the field of practice. Being linked to the management, transport and exchange of energy in thermal form, it impacts all aspects of human life and activity. Heat transfers are, by nature, classified as conduction, convection (which inserts conduction into fluid mechanics) and radiation. The importance of these three transfer methods has resulted – justifiably – in a separate volume being afforded to each of them. This second volume is dedicated to radiation. After recalling photometry, the calculation of luminance is addressed using the theory of the black body and associated laws: Stefan, Wien. The reciprocal radiation of two surfaces in total influence is discussed extensively, and the case of finished surfaces is also considered. Heat Transfer 2 combines a basic approach with a deeper understanding of the discipline and will therefore appeal to a wide audience, from technician to engineer, from doctoral student to teacher-researcher.

## Applications and Metrology at Nanometer Scale 2

Author | : Pierre-Richard Dahoo,Philippe Pougnet,Abdelkhalak El Hami |

Publsiher | : John Wiley & Sons |

Total Pages | : 288 |

Release | : 2021-03-05 |

ISBN 10 | : 1119818966 |

ISBN 13 | : 9781119818960 |

Language | : EN, FR, DE, ES & NL |

**Applications and Metrology at Nanometer Scale 2 Book Review:**

Nanoscience, nanotechnologies and the laws of quantum physics are sources of disruptive innovation that open up new fields of application. Quantum engineering enables the development of very sensitive materials, sensor measurement systems and computers. Quantum computing, which is based on two-level systems, makes it possible to manufacture computers with high computational power. This book provides essential knowledge and culminates with an industrial application of quantum engineering and nanotechnologies. It presents optical systems for measuring at the nanoscale, as well as quantum physics models that describe how a two-state system interacts with its environment. The concept of spin and its derivation from the Dirac equation is also explored, while theoretical foundations and example applications aid in understanding how a quantum gate works. Application of the reliability-based design optimization (RBDO) method of mechanical structures is implemented, in order to ensure reliability of estimates from the measurement of mechanical properties of carbon nanotube structures. This book provides valuable support for teachers and researchers but is also intended for engineering students, working engineers and MasterÂs students.

## Heat Transfer 1

Author | : Michel Ledoux,Abdelkhalak El Hami |

Publsiher | : John Wiley & Sons |

Total Pages | : 352 |

Release | : 2021-03-29 |

ISBN 10 | : 1119818222 |

ISBN 13 | : 9781119818229 |

Language | : EN, FR, DE, ES & NL |

**Heat Transfer 1 Book Review:**

Heat is a branch of thermodynamics that occupies a unique position due to its involvement in the field of practice. Being linked to the management, transport and exchange of energy in thermal form, it impacts all aspects of human life and activity. Heat transfers are, by nature, classified as conduction, convection (which inserts conduction into fluid mechanics) and radiation. The importance of these three transfer methods has resulted – justifiably – in a separate volume being afforded to each of them. This first volume is dedicated to thermal conduction, and, importantly, assumes an analytical approach to the problems presented, and recalls the fundamentals. Heat Transfer 1 combines a basic approach with a deeper understanding of the discipline and will therefore appeal to a wide audience, from technician to engineer, from doctoral student to teacher-researcher.

## Nanopackaging

Author | : James E. Morris |

Publsiher | : Springer Science & Business Media |

Total Pages | : 543 |

Release | : 2008-12-30 |

ISBN 10 | : 0387473262 |

ISBN 13 | : 9780387473260 |

Language | : EN, FR, DE, ES & NL |

**Nanopackaging Book Review:**

This book presents a comprehensive overview of nanoscale electronics and systems packaging, and covers nanoscale structures, nanoelectronics packaging, nanowire applications in packaging, and offers a roadmap for future trends. Composite materials are studied for high-k dielectrics, resistors and inductors, electrically conductive adhesives, conductive "inks," underfill fillers, and solder enhancement. The book is intended for industrial and academic researchers, industrial electronics packaging engineers who need to keep abreast of progress in their field, and others with interests in nanotechnology. It surveys the application of nanotechnologies to electronics packaging, as represented by current research across the field.