الصفحة 2
الصفحة 2
Engineering Damage Mechanics : Ductile, Creep, Fatigue and Brittle Failures
Engineering Damage Mechanics is deliberately oriented toward applications of Continuum Damage Mechanics to failures of mechanical and civil engineering components in ductile, creep, fatigue and brittle conditions depending upon the thermomechanical loading and the materials: metals and alloys, polymers, elastomers, composites, concretes. Nevertheless, to help engineers, researchers, beginners or not, the first two chapters are devoted to the main concepts of damage mechanics and to the associated computational tools.
Elasticity and Plasticity of Large Deformations : An Introduction
The book presents in detail the used mathematical tools, such as tensor algebra and analysis. The general theory of mechanical behavior is particularized for the broad and important classes of elasticity and plasticity. The book is intended to bring the reader close to the fields of today's research activities. A list of notations and an index help the reader to find specific topics.
Elasticity and Plasticity of Large Deformations : An Introduction
The book offers a careful introduction to modern non-linear mechanics. The used mathematical tools, such as tensor algebra and analysis are given in detail. The general theory of mechanical behaviour is particularized for the broad and important classes of elasticity and plasticity. It is intended to bring the reader close to the fields of today's research activities. A list of notations and an index help the reader to find specific topics. The book is based on three decades of teaching experience in this field.
Dynamical Oceanography
This textbook provides a mathematical introduction to the theory of large-scale ocean circulation and is accessible for readers with an elementary knowledge of mathematics and physics, including continuum mechanics and solution methods for ordinary differential equations. The book consists of four parts. Part I (chapters 1 - 4) is a very brief introduction to ocean circulation and the mathematical formulation of the governing equations of ocean flows. In addition, concepts are introduced that are necessary to describe and understand large-scale ocean currents. In part II (chapters 5 - 10), the theory of mid-latitude wind-driven ocean circulation is presented. Part III (chapters 11 - 12) focuses on the understanding of equatorial currents and El Nino. In the last part IV, chapters 13 - 16, the theory of planetary scale flows is presented, covering topics such as the thermocline problem, the Antarctic Circumpolar Current, the stability of the thermohaline circulation and the Arctic Ocean circulation.
Creep Mechanics ; 3rd ed.
The third edition of “Creep Mechanics” provides a short survey of recent advances in the mathematical modelling of the mechanical behavior of anisotropic solids under creep conditions, including principles, methods, and applications of tensor functions.
Creep Mechanics ; 2nd ed.
The monograph offers an overview of other experimental investigations in creep mechanics. Rules for specifying irreducible sets of tensor invariants, scalar coefficients in constitutive and evolutional equations, and tensorial interpolation methods are also explained.
Continuum Mechanics using Mathematica® : Fundamentals, Applications and Scientific Computing
This book's methodological approach familiarizes readers with the mathematical tools required to correctly define and solve problems in continuum mechanics. The book covers essential principles and fundamental applications, and provides a solid basis for a deeper study of more challenging and specialized problems related to elasticity, fluid mechanics, plasticity, materials with memory, piezoelectricity, ferroelectricity, magneto-fluid mechanics, and state changes.
Continuum Mechanics
This book presents an introduction into the entire science of Continuum Mechanics in three parts. PART I: Continuum Mechanics introduces into the Foundations using tensors in Cartesian coordinate systems, classical theory of elasticity, and fluid mechanics. PART II: Mechanics of Materials has chapters on viscoelasticity, plasticity, principles of constitutive modelling, and thermodynamics. PART III presents Tensor Analysis and fundamental equations of Continuum Mechanics in curvilinear coordinates.
Computational Multiscale Modeling of Fluids and Solids : Theory and Applications
The book includes the micro-scale, the meso-scale and the macro-scale. The chapters follow this classification. The book will explain in detail many tricks of the trade of some of the most important methods and techniques that are used to simulate materials on the perspective levels of spatial and temporal resolution. Case studies are occasionally included to further illustrate some methods or theoretical considerations. Example applications for all techniques are provided, some of which are from the author’s own contributions to some of the research areas. Methods are explained, if possible, on the basis of the original publications but also references to standard text books established in the various fields are mentioned.
Mathematical Methods in Electro-Magneto-Elasticity
The mechanics of Coupled Fields is a discipline at the edge of modern research connecting Continuum Mechanics with Solid State Physics. It integrates the Mechanics of Continuous Media, Heat Conductivity and the theory of Electromagnetism that are usually studied seperately. For an accurate description of the influence of static and dynamic loadings, high temperatures and strong electromagneticfields in elastic media and constructive installations, a new aproach is required; an approach that has the potential to establish a synergism between the above-mentioned fields. Throughout the book a vast number of problems are considered: two-dimensional problems of electro-magneto-elasticity as well as static and dynamical problems for piecewise homogenous compound piezoelectric plates weakened by cracks and openings. The boundary conditions, the constuctive equations and the mathematical methods for their solution are thoroughly presented, so that the reader can get a clear quantative and qualitative understnding of the phenomena taking place.
Mathematical Methods for Mechanics : A Handbook with MATLAB Experiments
The interaction between mathematics and mechanics is a never ending source of new developments. Today, challenging problems like space flight, gyroscope motions and tidal currents, can be studied on a laptop, feats that people still in the 1950’s dreamed of accomplishing. The present textbook addresses such problems and moreover, a wide-ranging spectrum of topics from bifurcation theory, optimization and control to rigid-body motion and continuum mechanics of elastic bodies and fluids. It fully encompasses the provision of mathematical tools up to their technical application. Because verifiability is a main element of science and numerical mathematics remain lackluster without demonstrations, a portion of the book is dedicated purely to computations.
Material Properties under Intensive Dynamic Loading
Understanding the physical and thermomechanical response of materials subjected to intensive dynamic loading is a challenge of great significance in engineering today. This volume assumes the task of gathering both experimental and diagnostic methods in one place, since not much information has been previously disseminated in the scientific literature. This book will thus be an invaluable companion for both the seasoned practioner as well as for the novice entering the field of experimental shock physics.
Material Inhomogeneities and their Evolution : A Geometric Approach
The first part of the book deals with the geometrical description of uniform bodies and their homogeneity (i.e., integrability) conditions. In the second part, a theory of material evolution is developed and its relevance in various applied contexts discussed. The necessary geometrical notions are introduced as needed in the first two parts but often without due attention to an uncompromising mathematical rigour. This task is left for the third part of the book, which is a highly technical compendium of those concepts of modern differential geometry that are invoked in the first two parts (differentiable manifolds, Lie groups, jets, principal fibre bundles, G-structures, connections, frame bundles, integrable prolongations, groupoids, etc.).
Mastering Calculations in Linear and Nonlinear Mechanics
Mastering Calculations in Linear and Nonlinear Mechanics is concerned with the management of calculations in linear and nonlinear mechanics. In the last twenty years The accent is on the concept of error in constitutive relation. An important part of this work is also devoted to the utilization of the error estimators involved in a calculation.
Biology and mechanics of blood flows ; Part II : Mechanics and medical aspects
Biology and Mechanics of Blood Flows presents the basic knowledge and state-of-the-art techniques necessary to carry out investigations of the cardiovascular system using modeling and simulation. Part II of this two-volume sequence, Mechanics and Medical Aspects, refers to the extraction of input data at the macroscopic scale for modeling the cardiovascular system, and complements Part I, which focuses on nanoscopic and microscopic components and processes. This volume contains chapters on anatomy, physiology, continuum mechanics, as well as pathological changes in the vasculature walls including the heart and their treatments. Methods of numerical simulations are given and illustrated in particular by application to wall diseases. This authoritative book will appeal to any biologist, chemist, physicist, or applied mathematician interested in the functioning of the cardiovascular system.
Atomistic modeling of materials failure
Atomistic Modeling of Materials Failure is an introduction to molecular and atomistic modeling techniques applied to solid deformation and fracture. Focusing on a variety of brittle, ductile and geometrically confined materials, this detailed overview includes computational methods at the atomic scale, and describes how these techniques can be used to model the dynamics of cracks, dislocations and other deformation mechanisms.
An Introduction to Navier-Stokes Equation and Oceanography
The Introduction to Navier-Stokes Equation and Oceanography corresponds to a graduate course in mathematics, taught at Carnegie Mellon University in the spring of 1999. Comments were added to the lecture notes distributed to the students, as well as short biographical information for all scientists mentioned in the text, the purpose being to show that the creation of scientific knowledge is an international enterprise, and who contributed to it, from where, and when. The goal of the course is to teach a critical point of view concerning the partial differential equations of continuum mechanics, and to show the need for developing new adapted mathematical tools.
An Introduction to Fluid Mechanics and Transport Phenomena
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. The solutions to all problems are displayed in the corresponding appendix.
Advanced structural mechanics : An introduction to continuum mechanics and structural mechanics
In recent years an increasing emphasis has been placed on numerically based methods of structural analysis. This has been reflected in the production of structural mechanics texts that are orientated towards particular numerical methodologies, especially the finite element method. Whilst this approach serves the needs of potential research' engineers, a concentration on the numerical analysis aspects of structural mechanics is of less relevance to professional' engineers, who are likely to be concerned with the use and interpretation of numerical analyses, but not in the development of the methodologies.
A primer on theoretical soil mechanics
A Primer to Theoretical Soil Mechanics is about adapting continuum mechanics to granular materials. The field of continuum mechanics offers many fruitful concepts and methods, however there is declining interest in the field due to its complex and fragmented nature. This book's purpose is therefore to facilitate the understanding of the theoretical principles of soil mechanics, as well as introducing the new theory of barodesy.
