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# Mechanical Engineering and Solid Mechanics

# The Rayleigh-Ritz Method for Structural Analysis

In many practical engineering problems, it is neither possible nor convenient to develop exact solutions. A convenient method for solving such problems originated from attempts to calculate natural frequencies and modes of structures. This method is known as the Rayleigh–Ritz Method or simply the Ritz Method.

This book is a presentation of the theory behind the Rayleigh–Ritz (R–R) method, as well...

# Sustainable Masonry

## Stability and Behavior of Structures

This book is the result of the meeting of two complementary approaches to the same subject: masonry. The first is the approach developed by Thierry Ciblac at the Ecole Nationale Supérieure d’Architecture de Paris la Villette (National School of Architecture of Paris La Villette, France), which revisits historical design methods using digital tools. The second consists of studies led by Jean-Claude...

# Mechanics and Uncertainty

The relationship between mechanics and uncertainty is a complex one. Mechanics is used to denote a science, a set of technologies and an industry. Science tells us it is impossible to create an entirely deterministic model. Technologies are subject to limits of robustness and reliability, and in industry we must be aware of dangers generated by products and systems throughout their lifecycle. Unce...

# Sinusoidal Vibration – Third Edition

## Mechanical Vibration and Shock Analysis Series – Volume 1

Everything engineers need to know about mechanical vibration and shock...in one authoritative reference work!

This fully updated and revised 3rd edition addresses the entire field of mechanical vibration and shock as one of the most important types of load and stress applied to structures, machines and components in the real world. Examples include everything from the regular and predictable loa...

# Mechanical Shock – Third Edition

## Mechanical Vibration and Shock Analysis Series – Volume 2

Everything engineers need to know about mechanical vibration and shock...in one authoritative reference work!

This fully updated and revised 3rd edition addresses the entire field of mechanical vibration and shock as one of the most important types of load and stress applied to structures, machines and components in the real world. Examples include everything from the regular and predictable load...

# Random Vibration – Third Edition

## Mechanical Vibration and Shock Analysis Series – Volume 3

Everything engineers need to know about mechanical vibration and shock...in one authoritative reference work!

This fully updated and revised 3rd edition addresses the entire field of mechanical vibration and shock as one of the most important types of load and stress applied to structures, machines and components in the real world. Examples include everything from the regular and predictable load...

# Fatigue Damage – Third Edition

## Mechanical Vibration and Shock Analysis Series – Volume 4

Everything engineers need to know about mechanical vibration and shock...in one authoritative reference work!

This fully updated and revised 3rd edition addresses the entire field of mechanical vibration and shock as one of the most important types of load and stress applied to structures, machines and components in the real world. Examples include everything from the regular and predictable load...

# Specification Development – Third Edition

## Mechanical Vibration and Shock Analysis Series – Volume 5

This fully updated and revised 3rd edition addresses the entire field of mechanical vibration and shock as one of the most important types of load and stress applied to structures, machines and components in the real world. Examples include everything from the regular and predictable load...

# Fractional Calculus with Applications in Mechanics

## Vibrations and Diffusion Processes

This book contains mathematical preliminaries in which basic definitions of fractional derivatives and spaces are presented. The central part of the book contains various applications in classical mechanics including fields such as: viscoelasticity, heat conduction, wave propagation and variational Hamilton–type principles. Mathematical rigor will be observed in the applications. The authors provi...

# Fractional Calculus with Applications in Mechanics

## Wave Propagation, Impact and Variational Principles

The books Fractional Calculus with Applications in Mechanics: Vibrations and Diffusion Processes and Fractional Calculus with Applications in Mechanics: Wave Propagation, Impact and Variational Principles contain various applications of fractional calculus to the fields of classical mechanics. Namely, the books study problems in fields such as viscoelasticity of fractional order, lateral vibration...

# Nonlinear Physical Systems

## Spectral Analysis, Stability and Bifurcations

Bringing together 18 chapters written by leading experts in dynamical systems, operator theory, partial differential equations, and solid and fluid mechanics, this book presents state-of-the-art approaches to a wide spectrum of new and challenging stability problems.

Nonlinear Physical Systems: Spectral Analysis, Stability and Bifurcations focuses on problems of spectral analysis, stability and b...

# Structural Dynamic Analysis with Generalized Damping Models

## Analysis

Since Lord Rayleigh introduced the idea of viscous damping in his classic work "The Theory of Sound" in 1877, it has become standard practice to use this approach in dynamics, covering a wide range of applications from aerospace to civil engineering. However, in the majority of practical cases this approach is adopted more for mathematical convenience than for modeling the physics of vibration dam...

# Structural Dynamic Analysis with Generalized Damping Models

## Identification

Since Lord Rayleigh introduced the idea of viscous damping in his classic work "The Theory of Sound" in 1877, it has become standard practice to use this approach in dynamics, covering a wide range of applications from aerospace to civil engineering. However, in the majority of practical cases this approach is adopted more for mathematical convenience than for modeling the physics of vibration dam...

# Materials and Structures under Shock and Impact

In risk studies, engineers often have to consider the consequences of an accident leading to a shock on a construction. This can concern the impact of a ground vehicle or aircraft, or the effects of an explosion on an industrial site.

This book presents a didactic approach starting with the theoretical elements of the mechanics of materials and structures, in order to develop their applications i...

# Mathematical Models of Beam and Cables

The authors of this book present an overview of the broad field of the mechanics of one-dimensional structures, aimed at introducing the reader to geometrically exact nonlinear modeling, using only elementary mathematics. Derivation of complex models is made in the context of a unitary approach, based on the Principle of Virtual Power, and driven under the lines of a metamodel, working as a progen...

# Yield Design

Since the middle of the 20th Century yield design approaches have been identified with the lower and upper bound theorem of limit analysis theory – a theory associated with perfect plasticity. This theory is very restrictive regarding the applicability of yield design approaches, which have been used for centuries for the stability of civil engineering structures.

This book presents a theory of ...

# Uncertainty and Optimization in Structural Mechanics

## FOCUS Series in Mechanical Engineering and Solid Mechanics

Optimization is generally a reduction operation of a definite quantity. This process naturally takes place in our environment and through our activities. For example, many natural systems evolve, in order to minimize their potential energy. Modeling these phenomena then largely relies on our capacity to artificially reproduce these processes. In parallel, optimization problems have quickly emerged...

# Non-smooth Deterministic or Stochastic Discrete Dynamical Systems

## Applications to Models with Friction or Impact

This book contains theoretical and application-oriented methods to treat models of dynamical systems involving non-smooth nonlinearities. The theoretical approach that has been retained and underlined in this work is associated with differential inclusions of mainly finite dimensional dynamical systems and the introduction of maximal monotone operators (graphs) in order to describe models of impac...

# Fracture Mechanics 1

## Analysis of Reliability and Quality Control

This first book of a 3-volume set on Fracture Mechanics is mainly centered on the vast range of the laws of statistical distributions encountered in various scientific and technical fields. These laws are indispensable in understanding the probability behavior of components and mechanical structures that are exploited in the other volumes of this series, which are dedicated to reliability and qual...

# Fracture Mechanics 2

## Applied Reliability

This second book of a 3-volume set on Fracture Mechanics completes the first volume through the analysis of adjustment tests suited to correctly validating the justified use of the laws conforming to the behavior of the materials and structures under study. This volume focuses on the vast range of statistical distributions encountered in reliability. Its aim is to run statistical measurements, to ...

# Fracture Mechanics 3

## Applied Quality Control

This third book of a 3-volume set on Fracture Mechanics adds a pragmatic and supportive character to the previous volumes by focusing on case studies using corrected exercises that teachers, students or engineers will find extremely useful. Due to the wide themes approached in this series, it can also be used to organize work in this field in a new way, as well as in the maintenance of industrial...

# Full-Field Measurements and Identification in Solid Mechanics

This timely book presents cutting-edge developments by experts in the field on the rapidly developing and scientifically challenging area of full-field measurement techniques used in solid mechanics – including photoelasticity, grid methods, deflectometry, holography, speckle interferometry and digital image correlation. The evaluation of strains and the use of the measurements in subsequent param...

# Mechanical Engineering Education

Mechanical Engineering is defined nowadays as a discipline “which involves the application of principles of physics, design, manufacturing and maintenance of mechanical systems”. Recently, mechanical engineering has also focused on some cutting-edge subjects such as nanomechanics and nanotechnology, mechatronics and robotics, computational mechanics, biomechanics, alternative energies, as well as ...

# ICWIM 6

## Proceedings of the International Conference on Weigh-In-Motion

After Zurich (1995), Lisbon (1998), Orlando (2002), Taipei (2005) and Paris (2008), the International Conference on Weigh-In-Motion (ICWIM6) returns to North America to join with the North American Travel Monitoring Exhibition and Conference (NATMEC 2012). International WIM conferences are organized by the International Society for Weigh-In-Motion (ISWIM). The conference addresses the broad range ...

# Mechanics of Solid Interfaces

The growing occurrence of heterogeneous materials such as composites or coated substrates in structural parts makes it necessary for designers and scientists to deal with the specific features of the mechanical behavior of solid interfaces. This book introduces basic concepts on mechanical problems related to the presence of solid/solid interfaces and their practical applications. The various topi...

# Rockfall Engineering

Rockfall Engineering is an up-to-date, international picture of the state of the art in rockfall engineering.

The three basic stages of rockfalls are considered: the triggering stage, the motion stage, and the interaction with a structure stage; along with contributions including structural characterization of cliffs, remote monitoring, stability analysis, boulder propagation, design of protecti...

# An Introduction to Chemical Kinetics

This book is a progressive presentation of kinetics of the chemical reactions. It provides complete coverage of the domain of chemical kinetics, which is necessary for the various future users in the fields of Chemistry, Physical Chemistry, Materials Science, Chemical Engineering, Macromolecular Chemistry and Combustion. It will help them to understand the most sophisticated knowledge of their fut...

# Mechanical Instability

This book focuses on the stability of mechanical systems, in other words their free response when they are removed from a position of equilibrium following a temporary disturbance.

After reviewing the main analytical methods available for assessing the dynamic stability of systems, the book provides details on the fundamental difference in nature between the phenomena of forced resonance vibratio...

# Dynamics of Structures

This book addresses the topic of structural dynamics, which is a branch of structural analysis devoted to the behavior of structures subjected to dynamic loads, from a theoretical and algorithmic approach. Dynamic loads can originate from many sources, including for example loading caused by geophysical phenomena such as wind, waves or earthquakes, or manmade sources such as traffic, explosive b...

# Biotribology

Tribology is the “science and technology of interacting surfaces in relative motion” and encompasses the study of friction, wear and lubrication. By extension biotribology is usually defined as the tribological phenomena occurring in either the human body or in animals. Therefore, it is possible to consider tribological processes that may occur after implantation of an artificial device in the hum...

# Multidisciplinary Design Optimization in Computational Mechanics

This book provides a comprehensive introduction to the mathematical and algorithmic methods for the Multidisciplinary Design Optimization (MDO) of complex mechanical systems such as aircraft or car engines.

We have focused on the presentation of strategies efficiently and economically managing the different levels of complexity in coupled disciplines (e.g. structure, fluid, thermal, acoustics, ...

# Handbook of Heterogenous Kinetics

This title provides a comprehensive overview of all the theoretical and practical bases of heterogenous kinetics and reactivity of solids. It applies the new concepts of reactivity and spatial function, introduced by the author, for both nucleation and growth processes, which makes it possible to give an unified presentation of the reactivity of bulk and powder solids.

The book describes the meth...

# Solid Mechanics using the Finite Element Method

Today the fundamentals of solid mechanics may be explained by “numerical” experiments using the finite element method. The explanation is detailed in this book using many examples. After a short review of how the finite element method works (in Chapter 1), Chapter 2 develops some key points of solid mechanics: what is a beam? when and how can a structure be represented by beam elements? what are t...

# Structural Reliability

This book describes the main methods used in the reliability of structures and their use in the design process leading to reliable products. Since new reliability software programs are added to the usual calculation, generally based on the finite element method, this book provides the necessary understanding for their implementation in research or industry....

# Structural Dynamics in Industry

Structural dynamics has become a crucial parameter for meeting performance requirements in fields as varied as automotive, aeronautics, space and defense. This book focuses on the behavior of structures subjected to a vibrational or shock environment. It takes a systematic approach to the basic concepts in order to enhance the reader’s understanding and to allow industrial structures to be covered...

# Particle and Continuum Aspects of Mesomechanics

## Integrity Thresholds for Materials and Structures – Mesomechanics 2007

This title brings together a variety of papers presented at the 9th annual Meso meeting in 2007. The topics selected for Meso 2007 are designed to illustrate the relation of thresholds to multiscaling:

Flow through capillary tubes in contrast to pipes

• Laminar and turbulent flow transition

• Heat convection of thin wires in contrast to cylinders

• Electrical conductance of macro- and nano-ci...

# X-ray Diffraction by Polycrystalline Materials

## Instrumentation and Microstructural Analysis

This book presents a physical approach to the diffraction phenomenon and its applications in materials science. An historical background to the discovery of X-ray diffraction is first outlined. Next, Part 1 gives a description of the physical phenomenon of X-ray diffraction on perfect and imperfect crystals. Part 2 then provides a detailed analysis of the instruments used for the characterization ...

# Mechanical Vibrations

## Active and Passive Control

For all rotational machines, the analysis of dynamic stresses and the resulting vibrations is an important subject. When it comes to helicopters and piston engines, this analysis becomes crucial. From the design of parts working under stress to the reduction of the vibration levels, the success of a project lies mainly in the hands of the dynamicists. The authors have combined their talents and ex...

# Forming and Micro-forming of Small-size Metal Materials

## Modification of Properties and Optimization of Their Use in Service

This book draws a state of the art of the changes of mechanical and physical properties of metal materials when they are subjected to miniaturization and microforming processes, for various applications, especially in the field of electronics and microcomponents. The authors focus on the macroscopic properties and microstructural changes at the origin of mechanisms, the future challenges that we w...

# Homogeneization and Periodic Structures

This book gives new insight on plate models in the linear elasticity framework tacking into account heterogeneities and thickness effects. It is targeted to graduate students how want to discover plate models but deals also with latest developments on higher order models.

Plates models are both an ancient matter and a still active field of research. First attempts date back to the beginning

of ...

# Galilean Mechanics and Thermodynamics of Continua

This title proposes a unified approach to continuum mechanics which is consistent with Galilean relativity. Based on the notion of affine tensors, a simple generalization of the classical tensors, this approach allows gathering the usual mechanical entities; mass, energy, force, moment, stresses, linear and angular momentum; in a single tensor.

Starting with the basic subjects, and continuing t...