Numerical Methods in Engineering

Numerical modeling now plays a central role in the design and study of electromagnetic systems. In the field of devices operating in low frequency, it is the finite element method that has come to the fore in recent decades. Today, it is widely used by eng... (Read more)

The finite element method, which emerged in the 1950s to deal with structural mechanics problems, has since undergone continuous development. Using partial differential equation models, it is now present in such fields of application as mechanics, physics,... (Read more)

Isogeometric analysis (IGA) consists of using the same higher-order and smooth spline functions for the representation of geometry in Computer Aided Design as for the approximation of solution fields in Finite Element Analysis. Now, almost twenty years aft... (Read more)

Simulation technology, and computational fluid dynamics (CFD) in particular, is essential in the search for solutions to the modern challenges faced by humanity. Revolutions in CFD over the last decade include the use of unstructured meshes, permitting the... (Read more)

Simulation technology, and computational fluid dynamics (CFD) in particular, is essential in the search for solutions to the modern challenges faced by humanity. Revolutions in CFD over the last decade include the use of unstructured meshes, permitting the... (Read more)

Isogeometric analysis (IGA) consists of using the same higher-order and smooth spline functions for the representation of geometry in Computer Aided Design as for the approximation of solution fields in Finite Element Analysis. Now, about fifteen years aft... (Read more)

In order to describe soil–structure interaction in various situations (nonlinear, static, dynamic, hydro-mechanical couplings), this book gives an overview of the main modeling methods developed in geotechnical engineering. The chapters are centered arou... (Read more)

Fractal structures are present everywhere in nature: trees, coral, etc. They appear in response to specific constraints: maximizing an exchange surface in a limited volume, or deploying a maximum surface area from the minimum of material. These optimal str... (Read more)

Considering the uncertainties in mechanical engineering in order to improve the performance of future products or systems is becoming a competitive advantage, sometimes even a necessity, when seeking to guarantee an increasingly high safety requirement. ... (Read more)

Triangulations, and more precisely meshes, are at the heart of many problems relating to a wide variety of scientific disciplines, and in particular numerical simulations of all kinds of physical phenomena. In Volume 1, the theoretical foundations relat... (Read more)

Numerical simulation is a technique of major importance in various technical and scientific fields. Whilst engineering curricula now include training courses dedicated to it, numerical simulation is still not well-known in some economic sectors, and even l... (Read more)

This book pursues optimal design from the perspective of mechanical properties and resistance to failure caused by cracks and fatigue. The book abandons the scale separation hypothesis and takes up phase-field modeling, which is at the cutting edge of rese... (Read more)

Numerical simulation is a technique of major importance in various technical and scientific fields. Used to understand diverse physical phenomena or to design everyday objects, it plays a major role in innovation in the industrial sector. Whilst engineerin... (Read more)

Three-dimensional surface meshes are the most common discrete representation of the exterior of a virtual shape. Extracting relevant geometric or topological features from them can simplify the way objects are looked at, help with their recognition, and fa... (Read more)

This book provides a detailed description of the experimental characterization, material modeling and finite element simulation method for polycarbonate in aeronautical and aerospace applications. It presents the experimental facilities and methods used in... (Read more)

Triangulations, and more precisely meshes, are at the heart of many problems relating to a wide variety of scientific disciplines, and in particular numerical simulations of all kinds of physical phenomena. In numerical simulations, the functional spaces o... (Read more)

Triangulations, and more precisely meshes, are at the heart of many problems relating to a wide variety of scientific disciplines, and in particular numerical simulations of all kinds of physical phenomena. In numerical simulations, the functional spaces o... (Read more)

This book explores the recent advances and applications of topology optimization in engineering structures design, with a particular focus on aircraft and aerospace structural systems. To meet the increasingly complex engineering challenges provided by ra... (Read more)

Intended as a guideline for research engineers and graduate students, this book covers the basic theory and principles of metal milling processes and machine dynamics. It reviews the relevant research to date on milling processes, widely used to remove ma... (Read more)

In recent years, there has been an increasing use of high-performance heterogeneous materials such as fibrous composites, concrete, metallic porous materials and metal alloys for their advantageous overall characteristics, which result in superior structur... (Read more)

This book studies methods to concretely address inverse problems. An inverse problem arises when the causes that produced a given effect must be determined or when one seeks to indirectly estimate the parameters of a physical system. The author uses pract... (Read more)

Complex behavior models (plasticity, crack, visco-elascticity) are facing several theoretical difficulties in determining the behavior law at the continuous (macroscopic) scale. When homogenization fails to give the right behavior law, a solution is to sim... (Read more)

Variational methods form the basis of all the modern numerical methods in engineering, namely finite elements, finite volumes and spectral methods. This book introduces an original approach to variational formulations which starts from their application... (Read more)

For anyone looking to create Discrete Element Method (DEM) models, GranOO has established itself as one of the choice software solutions, its strengths lying in its versatility, ease-of-use, and in being open source. This book serves as a guide to using th... (Read more)

Uncertainty Quantification (UQ) is a relatively new research area which describes the methods and approaches used to supply quantitative descriptions of the effects of uncertainty, variability and errors in simulation problems and models. It is rapidly bec... (Read more)

Complex behavior models (plasticity, crack, visco-elascticity) are facing several theoretical difficulties in determining the behavior law at the continuous (macroscopic) scale. When homogenization fails to give the right behavior law, a solution is to sim... (Read more)

Hydrodynamic bearings allow the various parts of mechanical devices to be driven easily while ensuring a reliability which eliminates any risk of rupture or premature wear. When the operating conditions are severe (high or quickly varying loads, great rota... (Read more)

Hydrodynamic bearings allow the various parts of mechanical devices to be driven easily while ensuring a reliability which eliminates any risk of rupture or premature wear. When the operating conditions are severe (high or quickly varying loads, great rota... (Read more)

Hydrodynamic bearings allow the various parts of mechanical devices to be driven easily while ensuring a reliability which eliminates any risk of rupture or premature wear. When the operating conditions are severe (high or quickly varying loads, great rota... (Read more)

Hydrodynamic bearings allow the various parts of mechanical devices to be driven easily while ensuring a reliability which eliminates any risk of rupture or premature wear. When the operating conditions are severe (high or quickly varying loads, great rota... (Read more)

This book presents the geometric bases of the physics of radiation. Most of these bases were discovered a very long time ago. Their properties have been well defined, but they could not be fully exploited until the recent advances in numerical methods and ... (Read more)

The author of this book presents a general, robust, and easy-to-use method that can handle many design parameters efficiently. Following an introduction, Chapter 1 presents the general concepts of truss layout optimization, starting from topology optimiza... (Read more)

The numerical simulation of manufacturing processes and their mechanical consequences is of growing interest in industry. In the context of globalization, competition between industrial companies demands the development of products at increasingly reduced ... (Read more)

Computational contact mechanics is a broad topic which brings together algorithmic, geometrical, optimization and numerical aspects for a robust, fast and accurate treatment of contact problems. This book covers all the basic ingredients of contact and com... (Read more)

This book offers an in-depth presentation of the finite element method, aimed at engineers, students and researchers in applied sciences. The description of the method is presented in such a way as to be usable in any domain of application. The level of ma... (Read more)

The aim of this book is to give a broad overview of the TLM (Transmission Line Matrix) method, which is one of the “time-domain numerical methods”. These methods are reputed for their significant reliance on computer resources. However, they have the a... (Read more)

The aim of this book is to summarize the current most effective methods for modeling, simulating, and optimizing metal forming processes, and to present the main features of new, innovative methods currently being developed which will no doubt be the indus... (Read more)

This book discusses new techniques for the simulation of cracks in complex conditions required for industrial applications. The level sets method makes it possible to simulate the presence and evolution of a crack with a complex shape. The extended fin... (Read more)

Nowadays, the finite element method (FEM) has become the main instrument for simulating manufacturing processes. It is made up of a complex process involving a variety of physical phenomena, such as plastic deformation, frictional contact, thermo-mechanica... (Read more)

The Natural Element Method (NEM) is halfway between meshless methods and the finite element method. This book presents a recent state of the art on the foundations and applications of the meshless natural element method in computational mechanics, incl... (Read more)

This reference book gives to the reader a complete but comprehensive presentation of the foundations of convex analysis and presents applications to significant situations in engineering. The presentation of the theory is self-contained and the proof of al... (Read more)

This book introduces the finite element method applied to the resolution of industrial heat transfer problems. Starting from steady conduction, the method is gradually extended to transient regimes, to traditional non-linearities and to convective phenomen... (Read more)

Written by specialists in the modeling of electromagnetism, this book provides a comprehensive review of the finite element method for low frequency applications. Fundamentals of the method as well as new advances in the field are described in detail. Stat... (Read more)

This volume contains papers presented at the 5th International Symposium on Finite Volumes for Complex Applications, held at Aussois, France, in June 2008. The first part includes papers concerned with: - Theoretical and numerical results, for instance:... (Read more)

This book provides, in an original form, the main topics now used for the modeling and dimensioning of structures. Its main feature consists of establishing a link between the traditional approach to material strength and the current finite element method.... (Read more)

This book provides a comprehensive survey of the different algorithms and data structures useful for triangulation and mesh construction. Additionally, specific important topics are given detailed coverage, such as mesh modification tools, mesh evaluation ... (Read more)

This volume contains contributions from speakers at the 4th International Symposium on Finite Volumes for Complex Applications, held in Marrakech, Morocco, in July 2005. The subject of these papers ranges from theoretical and numerical results to physical ... (Read more)