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The Finite Element Analysis of Shells - Fundamentals
The authors present a modern continuum mechanics and mathematical framework to study shell physical behaviors, and to formulate and evaluate finite element procedures. With a view towards the synergy that results from physical and mathematical understanding, the book focuses on the fundamentals of shell theories, their mathematical bases and finite element discretizations. The complexity of the physical behaviors of shells is analysed, and the difficulties to obtain uniformly optimal finite element procedures are identified and studied. Some modern finite element methods are presented for linear and nonlinear analyses. A state of the art monograph by leading experts.
Functional Imaging and Modeling of the Heart
This book constitutes the refereed proceedings of the 5th International Conference on Functional Imaging and Modeling of the Heart, FIMH 2009, held in Nice, France in June 2009. The 54 revised full papers presented were carefully reviewed and selected from numerous submissions. The contributions cover topics such as cardiac imaging and electrophysiology, cardiac architecture imaging and analysis, cardiac imaging, cardiac electrophysiology, cardiac motion estimation, cardiac mechanics, cardiac image analysis, cardiac biophysical simulation, cardiac research platforms, and cardiac anatomical and functional imaging.
Plates and Shells
This volume features the proceedings from the Summer Seminar of the Canadian Mathematical Society held at Universite Laval. The purpose of the seminar was to gather both mathematicians and engineers interested in the theory or application of plates and shells, or more generally, in the modelisation of thin structures. From this, it was hoped that a better understanding of the problem would emerge for both groups of professionals. New aspects from the mathematical point of view and new applications posing new challenges are reported. This volume offers a snapshot of the state of the art of this rapidly evolving topic.
Differential Geometry
This book gives the basic notions of differential geometry, such as the metric tensor, the Riemann curvature tensor, the fundamental forms of a surface, covariant derivatives, and the fundamental theorem of surface theory in a self-contained and accessible manner. Although the field is often considered a ?classical? one, it has recently been rejuvenated, thanks to the manifold applications where it plays an essential role.The book presents some important applications to shells, such as the theory of linearly and nonlinearly elastic shells, the implementation of numerical methods for shells, and mesh generation in finite element methods.This volume will be very useful to graduate students and researchers in pure and applied mathematics.
Mathematical Elasticity
The objective of Theory of Shells, the third book of a three-volume set, is to show how asymptotic methods provide a rigorous mathematical justification of the classical two-dimensional linear shell theories: membrane, generalized membrane, and flexural. The book also shows how asymptotic methods justify nonlinear elastic shell theories and gives a detailed presentation of the Koiter equations for a nonlinearly elastic shell. An extended preface and extensive bibliography have been added to highlight the progress that has been made since the volume’s original publication. While each one of the three volumes is self-contained, together the Mathematical Elasticity set provides the only moder...
Acta Numerica 2001: Volume 10
An annual volume presenting substantive survey articles in numerical analysis and scientific computing.
Functional Imaging and Modeling of the Heart
WethankthemembersoftheCREATISunitinLyonandtheLaboratory ofBiomedicalEngineeringinHelsinkifortheirinvolvementandsupportinthe organizationofthisconference. Conferencesupportedby InstitutNationaldesSciencesAppliqu ́eesdeLyon(INSA),France HelsinkiUniversityofTechnology(HUT),Finland CentreNationaldelaRechercheScienti?que(CNRS),France ScienceAcademyofFinland Jointincentiveaction“BeatingHeart”oftheCNRS,France FrenchCulturalCenter,Helsinki French-FinnishAssociationforScienti?candTechnicalResearch(AFFRST) FrenchBiomedicalEngineeringSociety(SFGBM) Organization FIMH2001wasco-organizedbytheCREATISLaboratory,CNRSUMR5515, Lyon,France,andtheLaboratoryofBiomedicalEngineeringattheHelsinski UniversityofTechnology,Finland. ConferenceChairs ToivoKatila LaboratoryofBiomedicalEngineering,H- sinskiUniversityofTechnology,Finland IsabelleE.
Shell Structures: Theory and Applications
Shells are basic structural elements of modern technology and everyday life. Examples are automobile bodies, water and oil tanks, pipelines, aircraft fuselages, nanotubes, graphene sheets or beer cans. Also nature is full of living shells such as leaves of trees, blooming flowers, seashells, cell membranes, the double helix of DNA or wings of insects. In the human body arteries, the shell of the eye, the diaphragm, the skin or the pericardium are all shells as well. Shell Structures: Theory and Applications, Volume 3 contains 137 contributions presented at the 10th Conference “Shell Structures: Theory and Applications” held October 16-18, 2013 in Gdansk, Poland. The papers cover a wide spectrum of scientific and engineering problems which are divided into seven broad groups: general lectures, theoretical modelling, stability, dynamics, bioshells, numerical analyses, and engineering design. The volume will be of interest to researchers and designers dealing with modelling and analyses of shell structures and thin-walled structural elements.
Functional Imaging and Modeling of the Heart
This book constitutes the refereed proceedings of the 11th International Conference on Functional Imaging and Modeling of the Heart, which took place online during June 21-24, 2021, organized by the University of Stanford. The 65 revised full papers were carefully reviewed and selected from 68 submissions. They were organized in topical sections as follows: advanced cardiac and cardiovascular image processing; cardiac microstructure: measures and models; novel approaches to measuring heart deformation; cardiac mechanics: measures and models; translational cardiac mechanics; modeling electrophysiology, ECG, and arrhythmia; cardiovascular flow: measures and models; and atrial microstructure, modeling, and thrombosis prediction.
Functional Imaging and Modeling of the Heart
This book constitutes the refereed proceedings of the 8th International Conference on Functional Imaging and Modeling of the Heart, held in Maastricht, The Netherlands, in June 2015. The 54 revised full papers were carefully reviewed and selected from 72 submissions. The focus of the papers is on following topics: function; imaging; models of mechanics; and models of electrophysiology.
