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Book
Mathematical Applications in Continuum and Structural Mechanics
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ISBN: 9783030427078 Year: 2021 Publisher: Cham Springer International Publishing :Imprint: Springer


Book
Mathematical applications in continuum and structural mechanics
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ISBN: 3030427064 3030427072 Year: 2021 Publisher: Cham, Switzerland : Springer International Publishing,


Book
The finite element method for solid and structural mechanics
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ISBN: 9781856176347 1856176347 130613580X 0080951368 9780080951362 Year: 2014 Publisher: Kidlington, Oxford, UK Elsevier/Butterworth-Heinemann

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Abstract

The Finite Element Method for Solid and Structural Mechanics is the key text and reference for engineers, researchers and senior students dealing with the analysis and modeling of structures, from large civil engineering projects such as dams to aircraft structures and small engineered components. This edition brings a thorough update and rearrangement of the book's content, including new chapters on: Material constitution using representative volume elements Differential geometry and calculus on manifolds Background mathematics and linear shell theory Focusing on the core knowledge, mathematical and analytical tools needed for successful structural analysis and modeling, The Finite Element Method for Solid and Structural Mechanics is the authoritative resource of choice for graduate level students, researchers and professional engineers. A proven keystone reference in the library of any engineer needing to apply the finite element method to solid mechanics and structural design. Founded by an influential pioneer in the field and updated in this seventh edition by an author team incorporating academic authority and industrial simulation experience. Features new chapters on topics including material constitution using representative volume elements, as well as consolidated and expanded sections on rod and shell models --


Book
Thermodynamics of materials with memory : theory and applications
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ISBN: 3030805344 3030805336 Year: 2021 Publisher: Cham, Switzerland : Springer,


Book
Level Set Methods for Fluid-Structure Interaction
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ISBN: 9783031086595 Year: 2022 Publisher: Cham Springer International Publishing :Imprint: Springer

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Book
Level Set Methods for Fluid-Structure Interaction
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ISBN: 3031086589 3031086597 Year: 2022 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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Abstract

This monograph is devoted to the study of Eulerian models for fluid-structure interaction from the original point of view of level set methods. In the last 15 years, Eulerian models have become popular tools for studying fluid-structure interaction problems. One major advantage compared to more conventional methods such as ALE methods is that they allow the use of a single grid and a single discretization method for the different media. Level set methods in addition provide a general framework to follow the fluid-solid interfaces, to represent the elastic stresses of solids, and to model the contact forces between solids. This book offers a combination of mathematical modeling, aspects of numerical analysis, elementary codes and numerical illustrations, providing the reader with insights into the applications and performance of these models. Assuming background at the level of a Master’s degree, Level Set Methods for Fluid-Structure Interaction provides researchers in the fields of numerical analysis of PDEs, theoretical and computational mechanics with a basic reference on the topic. Its pedagogical style and organization make it particularly suitable for graduate students and young researchers.

Keywords

Fluid-structure interaction. --- Level set methods. --- Level sets (Mathematics) --- Osher-Sethian level set methods --- Sethian level set methods, Osher --- -Interfaces (Physical sciences) --- Structure-fluid interaction --- Fluid dynamics --- Structural dynamics --- Mathematics --- Models matemàtics --- Mecànica dels medis continus --- Anàlisi numèrica --- Mètodes numèrics --- Algorismes --- Anàlisi matemàtica --- Teoria de l'aproximació --- Anàlisi d'error (Matemàtica) --- Anàlisi d'intervals (Matemàtica) --- Càlculs numèrics --- Equacions diferencials estocàstiques --- Integració numèrica --- Interpolació (Matemàtica) --- Mètodes de Galerkin --- Mètode de Montecarlo --- Mètode dels elements finits --- Mètodes iteratius (Matemàtica) --- Nomografia (Matemàtica) --- Rutes aleatòries (Matemàtica) --- Solucions numèriques --- Mecànica contínua --- Mecànica del continu --- Elasticitat --- Mecànica analítica --- Acústica --- Mecànica de fluids --- Sòlids elàstics --- Termoelasticitat --- Viscoelasticitat --- Teoria de camps (Física) --- Models (Matemàtica) --- Models experimentals --- Models teòrics --- Mètodes de simulació --- Anàlisi de sistemes --- Modelització multiescala --- Models economètrics --- Models lineals (Estadística) --- Models multinivell (Estadística) --- Models no lineals (Estadística) --- Programació (Ordinadors) --- Simulació per ordinador --- Teoria de màquines --- Models biològics --- Mathematical models. --- Continuum mechanics. --- Numerical analysis. --- Mathematical Modeling and Industrial Mathematics. --- Continuum Mechanics. --- Numerical Analysis. --- Computational Science and Engineering. --- Data processing. --- Mathematical analysis --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Models, Mathematical --- Simulation methods

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