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Large Deformations of Solids: Physical Basis and Mathematical Modelling (Paperback, Softcover reprint of the original 1st ed. 1986)
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Large Deformations of Solids: Physical Basis and Mathematical Modelling (Paperback, Softcover reprint of the original 1st ed. 1986)
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A central problem in engineering is the deformation of structures.
These may be structures made of metal, from concrete or other
buildingmaterials, orfrom soilforexample. Generallyspeaking, the
engineerrequiresthedeformationofastructuretoberelativelysmall,
predictable, tolerable and non-damaging. Professor Jean Mandel
devotedalargepartofhisprofessionalcareertostudiesofdeforma
tionandhewassuccessfulinidentifyingprinciplesandproceduresof
wideapplicability.Accordingly, itisveryappropriatetobringtogether
as we dointhis volume papers by world authorities concerned with
deformationinmemoryofProfessorMandel. The papers in this volume
were all invited contributions to an international CNRS colloquium
which was held at the Ecole Poly techniqueinParis,
30September-2October1985. Thevolumeconsidersthedeformationofmetals,
rocks, composites, soils, sand and wood. The microscopic processes
and theory of deformationaretreated,
asarethegenerallawsrelatingdeformation with parameters such as
stress system and temperature. A central
problemwhichhasbeensystematicallyattackedinthecaseofmetalsis the
relationship between the behaviour of crystal defects such as
dislocations and the deformationofa large specimenorengineering
component.Itshould be possible to produce accurate predictionsof
macroscopic deformation from a microscopic model and substantial
progresstowardsthisendhasbeenmadeinrecentyears.Thefirsttwo
sectionsofthe bookare largelyconcerned with progress in this very
importantarea. A parallel theme which was established in earlier
days is the
developmentofcontinuummodelsfordeformation.Suchmodelswere
proposedatatimewhenmicroscopyhadnotdevelopedtoitspresent
levelofsophisticationsothat, forexample, itwasnotestablishedthat v
VI PREFACE
crystalsactuallycontaineddislocations.Thecontinuumtheorieswhich
datebackmorethanacenturysoughttoexplainmicroscopicdeforma tion in
terms of abstract models involving mechanical elements of
whichthespringand the dashpot wereprominentexamples. Froma strictly
practical standpoint these continuum models still have great
utilitytoday, particularlyinareaswhere the materialsaresocompli
cated that the preferred route, linking microscopic behaviour with
macroscopicbehaviour, is notyet available. Section3ofthe book is
concernedthereforewiththecontinuumpointofviewformetals."
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