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Kinematics Of Cosserat Continua


Kinematics Of Cosserat Continua
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Kinematics Of Cosserat Continua


Kinematics Of Cosserat Continua
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Author : Stephen Corteen Cowin
language : en
Publisher:
Release Date : 1962

Kinematics Of Cosserat Continua written by Stephen Corteen Cowin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Biomechanics categories.




Advances In Applied Mechanics


Advances In Applied Mechanics
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Author :
language : en
Publisher: Academic Press
Release Date : 1975-01-24

Advances In Applied Mechanics written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-01-24 with Technology & Engineering categories.


Advances in Applied Mechanics



Bifurcation Analysis In Geomechanics


Bifurcation Analysis In Geomechanics
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Author : J. Sulem
language : en
Publisher: CRC Press
Release Date : 2004-06-02

Bifurcation Analysis In Geomechanics written by J. Sulem and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-02 with Architecture categories.


This book examines the experimental and theoretical aspects of bifurcation analysis as applied to geomechanics. Coverage includes basic continuum mechanics for dry and fluid unfiltrated porous media, bifurcation and stability analyses applied to layered geological media and granular materials, and theories for generalized continua as applied to materials with microstructure and in relation to strain localization phenomena.



Fluid And Thermodynamics


Fluid And Thermodynamics
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Author : Kolumban Hutter
language : en
Publisher: Springer
Release Date : 2018-09-22

Fluid And Thermodynamics written by Kolumban Hutter and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-22 with Science categories.


This third volume describes continuous bodies treated as classical (Boltzmann) and spin (Cosserat) continua or fluid mixtures of such bodies. It discusses systems such as Boltzmann continua (with trivial angular momentum) and Cosserat continua (with nontrivial spin balance) and formulates the balance law and deformation measures for these including multiphase complexities. Thermodynamics is treated in the spirit of Müller–Liu: it is applied to Boltzmann-type fluids in three dimensions that interact with neighboring fluids on two-dimensional contact surfaces and/or one-dimensional contact lines. For all these situations it formulates the balance laws for mass, momenta, energy, and entropy. Further, it introduces constitutive modeling for 3-, 2-, 3-d body parts for general processes and materially objective variable sets and their reduction to equilibrium and non-equilibrium forms. Typical (reduced) fluid spin continua are liquid crystals. Prominent nematic examples of these include the Ericksen–Leslie–Parodi (ELP) formulation, in which material particles are equipped with material unit vectors (directors). Nematic liquid crystals with tensorial order parameters of rank 1 to n model substructure behavior better, and for both classes of these, the book analyzes the thermodynamic conditions of consistency. Granular solid–fluid mixtures are generally modeled by complementing the Boltzmann laws with a balance of fluctuation (kinetic) energy of the particles. The book closes by presenting a full Reynolds averaging procedure that accounts for higher correlation terms e.g. a k-epsilon formulation in classical turbulence. However, because the volume fraction is an additional variable, the theory also incorporates ‘k-epsilon equations’ for the volume fraction.



Discrete And Continuum Models For Complex Metamaterials


Discrete And Continuum Models For Complex Metamaterials
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Author : Francesco dell'Isola
language : en
Publisher: Cambridge University Press
Release Date : 2020-03-12

Discrete And Continuum Models For Complex Metamaterials written by Francesco dell'Isola and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-12 with Science categories.


Explores the relationship between discrete and continuum mechanics as a tool to model new and complex metamaterials. Including a comprehensive bibliography and historical review of the field, and a pedagogical mathematical treatment, it is ideal for graduate students and researchers in mechanical and civil engineering, and materials science.



Continuum Mechanics With Eulerian Formulations Of Constitutive Equations


Continuum Mechanics With Eulerian Formulations Of Constitutive Equations
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Author : M.B. Rubin
language : en
Publisher: Springer Nature
Release Date : 2020-10-11

Continuum Mechanics With Eulerian Formulations Of Constitutive Equations written by M.B. Rubin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-11 with Science categories.


This book focuses on the need for an Eulerian formulation of constitutive equations. After introducing tensor analysis using both index and direct notation, nonlinear kinematics of continua is presented. The balance laws of the purely mechanical theory are discussed along with restrictions on constitutive equations due to superposed rigid body motion. The balance laws of the thermomechanical theory are discussed and specific constitutive equations are presented for: hyperelastic materials; elastic–inelastic materials; thermoelastic–inelastic materials with application to shock waves; thermoelastic–inelastic porous materials; and thermoelastic–inelastic growing biological tissues.



Generalized Continua From The Theory To Engineering Applications


Generalized Continua From The Theory To Engineering Applications
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Author : Holm Altenbach
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-18

Generalized Continua From The Theory To Engineering Applications written by Holm Altenbach and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-18 with Technology & Engineering categories.


On the roots of continuum mechanics in differential geometry -- a review.- Cosserat media.- Cosserat-type shells.- Cosserat-type rods.- Micromorphic media.- Electromagnetism and generalized continua.- Computational methods for generalized continua. The need of generalized continua models is coming from practice. Complex material behavior sometimes cannot be presented by the classical Cauchy continua. At present the attention of the scientists in this field is focused on the most recent research items • new models, • application of well-known models to new problems, • micro-macro aspects, • computational effort, and • possibilities to identify the constitutive equations The new research directions are discussed in this volume - from the point of view of modeling and simulation, identification, and numerical methods.



Afosr


Afosr
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Author : United States. Air Force. Office of Scientific Research
language : en
Publisher:
Release Date : 1968

Afosr written by United States. Air Force. Office of Scientific Research and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Research categories.




Non Linear Mechanics Of Materials


Non Linear Mechanics Of Materials
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Author : Jacques Besson
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-11-25

Non Linear Mechanics Of Materials written by Jacques Besson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-25 with Science categories.


In mechanical engineering and structural analysis there is a significant gap between the material models currently used by engineers for industry applications and those already available in research laboratories. This is especially apparent with the huge progress of computational possibilities and the corresponding dissemination of numerical tools in engineering practice, which essentially deliver linear solutions. Future improvements of design and life assessment methods necessarily involve non-linear solutions for inelastic responses, in plasticity or viscoplasticity, as well as damage and fracture analyses. The dissemination of knowledge can be improved by software developments, data base completion and generalization, but also by information and training. With such a perspective Non-Linear Mechanics of Materials proposes a knowledge actualization, in order to better understand and use recent material constitutive and damage modeling methods in the context of structural analysis or multiscale material microstructure computations.



Foundations Of Micropolar Mechanics


Foundations Of Micropolar Mechanics
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Author : Victor A. Eremeyev
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-07-25

Foundations Of Micropolar Mechanics written by Victor A. Eremeyev and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-25 with Science categories.


The book presents foundations of the micropolar continuum mechanics including a short but comprehensive introduction of stress and strain measures, derivation of motion equations and discussion of the difference between Cosserat and classical (Cauchy) continua, and the discussion of more specific problems related to the constitutive modeling, i.e. constitutive inequalities, symmetry groups, acceleration waves, etc.