Interaction of Mechanics and Mathematics – serie
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14 produkter
Mathematical Methods in Continuum Mechanics of Solids
Av Martin Kružík, Tomáš Roubíček
Häftad, 2019
931 kr
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This book primarily focuses on rigorous mathematical formulation and treatment of static problems arising in continuum mechanics of solids at large or small strains, as well as their various evolutionary variants, including thermodynamics. As such, the theory of boundary- or initial-boundary-value …
Energy Methods in Dynamics
Av Khanh Chau Le, Lu Trong Khiem Nguyen
Häftad, 2014
1531 kr
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Energy Methods in Dynamics is a textbook based on the lectures given by the first author at Ruhr University Bochum, Germany. Its aim is to help students acquire both a good grasp of the first principles from which the governing equations can be derived, and the adequate mathematical methods for …
Non-commuting Variations in Mathematics and Physics
A Survey
Häftad, 2016
1125 kr
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This text presentsand studies the method of so –called noncommuting variations in VariationalCalculus. This methodwas pioneered by Vito Volterra whonoticed that the conventional Euler-Lagrange (EL-) equations are not applicable in Non-Holonomic Mechanicsand suggested to modify the basic ruleused in …
Modeling Nonlinear Problems in the Mechanics of Strings and Rods
The Role of the Balance Laws
Inbunden, 2017
735 kr
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This book presents theories of deformable elastic strings and rods and their application to broad classes of problems. Readers will gain insights into the formulation and analysis of models for mechanical and biological systems. Emphasis is placed on how the balance laws interplay with constitutive …
Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds
A Geometric Approach to Modeling and Analysis
Av Taeyoung Lee, Melvin Leok m. fl.
Häftad, 2017
1094 kr
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This book provides an accessible introduction to the variational formulation of Lagrangian and Hamiltonian mechanics, with a novel emphasis on global descriptions of the dynamics, which is a significant conceptual departure from more traditional approaches based on the use of local coordinates on …
Modeling Nonlinear Problems in the Mechanics of Strings and Rods
The Role of the Balance Laws
Häftad, 2018
735 kr
Lägg i varukorg
This book presents theories of deformable elastic strings and rods and their application to broad classes of problems. Readers will gain insights into the formulation and analysis of models for mechanical and biological systems. Emphasis is placed on how the balance laws interplay with constitutive …
Entropy and Energy
A Universal Competition
Häftad, 2005
768 kr
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"Entropy and Energy- a Universal Competition" is a students textbook as well as a scientific monograph. The concepts of entropy and energy embody the effects of random walk in a body and of deterministic strife respectively, and are therefore often in competition. The book gives instructive …
Macroscopic Transport Equations for Rarefied Gas Flows
Approximation Methods in Kinetic Theory
Häftad, 2005
769 kr
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The well known transport laws of Navier-Stokes and Fourier fail for the simulation of processes on lengthscales in the order of the mean free path of a particle that is when the Knudsen number is not small enough. Thus, the proper simulation of flows in rarefied gases requires a more detailed …
Qualitative Methods in Inverse Scattering Theory
An Introduction
Av Fioralba Cakoni, David Colton
Häftad, 2005
876 kr
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Inverse scattering theory has been a particularly active and successful field in applied mathematics and engineering for the past twenty years. The increasing demands of imaging and target identification require new powerful and flexible techniques besides the existing weak scattering approximation …
Material Inhomogeneities and their Evolution
A Geometric Approach
Av Marcelo Epstein, Marek Elzanowski
Häftad, 2007
1094 kr
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With its origins in the theories of continuous distributions of dislocations and ofmetalplasticity,inhomogeneitytheoryisarichandvibrant?eldofresearch. The recognition of the important role played by con?gurational or material forces in phenomena such as growth and remodelling is perhaps its …
Variational Principles of Continuum Mechanics
I. Fundamentals
Häftad, 2009
1328 kr
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Thereareabout500booksonvariationalprinciples. Theyareconcernedmostlywith the mathematical aspects of the topic. The major goal of this book is to discuss the physical origin of the variational principles and the intrinsic interrelations between them. For example, the Gibbs principles appear not as …
Variational Principles of Continuum Mechanics
II. Applications
Häftad, 2009
1226 kr
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The book reviews the two features of the variational approach: its use as a universal tool to describe physical phenomena and as a source for qualitative and quantitative methods of studying particular problems.Berdichevsky’s work differs from other books on the subject in focusing mostly on the …
Introduction to the Boltzmann Equation and Transport Processes in Gases
Häftad, 2010
1638 kr
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Thisbookdealswith theclassicalkinetictheoryofgases.Itsaimisto present the basic principles of this theory within an elementary framework and from a more rigorous approach based on the Boltzmann equation. The subjects are presented in a self-contained manner such that the readers can und- stand and …
Topological Derivatives in Shape Optimization
Av Antonio André Novotny, Jan Sokołowski
Häftad, 2012
2407 kr
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The topological derivative is defined as the first term (correction) of the asymptotic expansion of a given shape functional with respect to a small parameter that measures the size of singular domain perturbations, such as holes, inclusions, defects, source-terms and cracks. Over the last decade, …
