
Accession Number : ADA132807
Title : OneDimensional Structured Phase Transformations under Prescribed Loads.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Carr,Jack ; Gurtin,Morton E ; Slemrod,Marshall
PDF Url : ADA132807
Report Date : Aug 1983
Pagination or Media Count : 20
Abstract : The authors consider a onedimensional elastic bar acted on by end loads. To allow for the possibility of phase transitions they consider a storedenergy function of the form W(gamma) + epsilon sub 2(gamma')sub 2 with W(gamma) a nonconvex function of strain gamma, a function of the type capable of supporting twophases. The term involving the strain gradient gamma, is added to model the region of rapidly varying strain in the vicinity of a phase transition. It is shown that this problem has smooth solutions which, for epsilon small, correspond to the singlephase and twophase solutions of the problem with epsilon = O. It is shown further that the only stable solutions of this problem are the singlephase solutions gamma = constant. (Author)
Descriptors : *Phase transformations, *Transformations(Mathematics), *Stress strain relations, One dimensional, Gradients, Elastic properties, Loads(Forces), Energy storage, Functions(Mathematics), Stability, Problem solving, Solutions(General)
Subject Categories : Numerical Mathematics
Solid State Physics
Distribution Statement : APPROVED FOR PUBLIC RELEASE