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This monograph presents the geometric foundations of continuum mechanics. An emphasis is placed on increasing the generality and elegance of the theory by scrutinizing the relationship between the physical aspects and the mathematical notions used in its formulation. The theory of uniform fluxes in affine spaces is covered first, followed by the smooth theory on differentiable manifolds, and ends with the non-smooth global theory. Because continuum mechanics provides the theoretical foundations for disciplines like fluid dynamics and stress analysis, the author’s extension of the theory will enable researchers to better describe the mechanics of modern materials and biological tissues. The global approach to continuum mechanics also enables the formulation and solutions of practical optimization problems. Foundations of Geometric Continuum Mechanics will be an invaluable resource for researchers in the area, particularly mathematicians, physicists, and engineers interested in the foundational notions of continuum mechanics.
Geometry, Differential. --- Continuum mechanics. --- Differential Geometry. --- Continuum Mechanics. --- Mecànica dels medis continus --- Matemàtica
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Mecànica de fluids --- Hidromecànica --- Mecànica dels medis continus --- Dinàmica de fluids --- Hidràulica --- Hidrodinàmica --- Fluids --- Fluid mechanics. --- Fluid mechanics --- Data processing. --- Hydromechanics --- Continuum mechanics
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This book contains contributions from leading researchers in biomechanics, nanomechanics, tribology, contact mechanics, materials science and applications on various experimental techniques including atomic force microscopy (AFM) for studying soft, biomimetic and biological materials and objects. Biologists, physicists, researchers applying methods of contact mechanics and researchers testing materials using indentation techniques along with many other applied scientists will find this book a useful addition to their libraries. Moreover, several reviews in this book are written as introductions to several important and rather sophisticated research areas such as depth-sensing indentation, studying of biological cells by AFM probes, mechanics of adhesive contact and contact between viscoelastic (hereditary elastic) solids. The book containing new theoretical models, results of experimental studies and numerical simulations, along with reviews of above mentioned areas of contact mechanics in application to biological systems, would be beneficial for researchers in many areas of biology, medicine, engineering, mechanics and biomimetics.
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This book provides invited and reviewed contributions in mathematical, physical and experimental modelling and simulations in all fluid mechanics branches.
Fluid mechanics. --- Fluid mechanics --- Data processing. --- Hydromechanics --- Continuum mechanics --- Mecànica de fluids --- Hidromecànica --- Mecànica dels medis continus --- Dinàmica de fluids --- Hidràulica --- Hidrodinàmica --- Fluids --- Mathematical models.
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Designing engineering components that make optimal use of materials requires consideration of the nonlinear characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, and this requires an understanding of both the theoretical background and associated computer solution techniques. By presenting both nonlinear continuum analysis and associated finite element techniques under one roof, Bonet and Wood provide, in this edition of this successful text, a complete, clear, and unified treatment of these important subjects. New chapters dealing with hyperelastic plastic behavior are included, and the authors have thoroughly updated the FLagSHyP program, freely accessible at www.flagshyp.com. Worked examples and exercises complete each chapter, making the text an essential resource for postgraduates studying nonlinear continuum mechanics. It is also ideal for those in industry requiring an appreciation of the way in which their computer simulation programs work.
Materials --- Continuum mechanics --- Nonlinear mechanics --- Finite element method --- Mathematical models --- Mecànica dels medis continus. --- Mecànica no lineal --- Elements finits, Mètode dels. --- Continuum mechanics. --- Nonlinear mechanics. --- Finite element method. --- Models matemàtics --- Mathematical models. --- Materials - Mathematical models
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Fluid mechanics. --- Fluid mechanics --- Thermodynamics. --- Mathematical models. --- Chemistry, Physical and theoretical --- Dynamics --- Mechanics --- Physics --- Heat --- Heat-engines --- Quantum theory --- Hydromechanics --- Continuum mechanics --- Mecànica de fluids --- Hidromecànica --- Mecànica dels medis continus --- Dinàmica de fluids --- Hidràulica --- Hidrodinàmica --- Fluids
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Fluid mechanics. --- Fluid-structure interaction. --- Mecànica de fluids --- Structure-fluid interaction --- Fluid dynamics --- Structural dynamics --- Hydromechanics --- Continuum mechanics --- Hidromecànica --- Mecànica dels medis continus --- Dinàmica de fluids --- Hidràulica --- Hidrodinàmica --- Fluids
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This volume explores a range of recent advances in mathematical fluid mechanics, covering theoretical topics and numerical methods. Chapters are based on the lectures given at a workshop in the summer school Waves in Flows, held in Prague from August 27-31, 2018. A broad overview of cutting edge research is presented, with a focus on mathematical modeling and numerical simulations. Readers will find a thorough analysis of numerous state-of-the-art developments presented by leading experts in their respective fields. Specific topics covered include: Chemorepulsion Compressible Navier-Stokes systems Newtonian fluids Fluid-structure interactions Waves in Flows: The 2018 Prague-Sum Workshop Lectures will appeal to post-doctoral students and scientists whose work involved fluid mechanics.
Numerical analysis. --- Computer mathematics. --- Continuum physics. --- Numerical Analysis. --- Computational Science and Engineering. --- Classical and Continuum Physics. --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics --- Computer mathematics --- Electronic data processing --- Mathematics --- Mathematical analysis --- Mecànica de fluids --- Hidromecànica --- Mecànica dels medis continus --- Dinàmica de fluids --- Hidràulica --- Hidrodinàmica --- Fluids
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This textbook provides a concise introduction to the mathematical theory of fluid motion with the underlying physics. Different branches of fluid mechanics are developed from general to specific topics. At the end of each chapter carefully designed problems are assigned as homework, for which selected fully worked-out solutions are provided. This book can be used for self-study, as well as in conjunction with a course in fluid mechanics.
Hydraulic engineering. --- Engineering Fluid Dynamics. --- Geoengineering, Foundations, Hydraulics. --- Geotechnical Engineering & Applied Earth Sciences. --- Engineering, Hydraulic --- Engineering --- Fluid mechanics --- Hydraulics --- Shore protection --- Fluid mechanics. --- Engineering geology. --- Engineering—Geology. --- Foundations. --- Hydraulics. --- Geotechnical engineering. --- Engineering, Geotechnical --- Geotechnics --- Geotechnology --- Engineering geology --- Flow of water --- Water --- Hydraulic engineering --- Jets --- Architecture --- Building --- Structural engineering --- Underground construction --- Caissons --- Earthwork --- Masonry --- Soil consolidation --- Soil mechanics --- Walls --- Civil engineering --- Geology, Economic --- Hydromechanics --- Continuum mechanics --- Flow --- Distribution --- Details --- Geology --- Mecànica de fluids --- Hidromecànica --- Mecànica dels medis continus --- Dinàmica de fluids --- Hidràulica --- Hidrodinàmica --- Fluids
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Mecànica de fluids --- Models matemàtics --- Biomimètica --- Complexes biomimètics --- Química biomimètica --- Síntesi biomimètica --- Productes químics --- Simpatomimètics --- Models (Matemàtica) --- Models experimentals --- Models teòrics --- Mètodes de simulació --- Anàlisi de sistemes --- Mètode de Montecarlo --- Modelització multiescala --- Models economètrics --- Models lineals (Estadística) --- Models multinivell (Estadística) --- Models no lineals (Estadística) --- Programació (Ordinadors) --- Simulació per ordinador --- Teoria de màquines --- Models biològics --- Hidromecànica --- Mecànica dels medis continus --- Dinàmica de fluids --- Hidràulica --- Hidrodinàmica --- Fluids --- Fluid mechanics --- Mathematical models. --- Hydromechanics --- Continuum mechanics
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