الصفحة 1
الصفحة 1
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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.

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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.

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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.

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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.

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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.

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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.).

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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.

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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.

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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.

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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.

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