Mathematical Sciences: Variational Methods for Phase        Transitions in Crystalline Structure
{'Code': '03040100', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Michael Steuerwalt', 'PO_EMAI': None, 'PO_PHON': None}
The general objective of this project is to study                          variational problems associated with phase transitions in the                   context of continuum theory, using as theoretical tools Continuum               Mechanics (specifically Thermoelasticity) and the Calculus of                   Variations.  The topics under consideration include:  the study                 of macroscopic properties which depend on the particular                        microstructure of a configuration; determination of symmetry                    invariances and constitutive relations appropriate to interfacial               energies for solid crystals; the study of minimization problems                 for the total energy functional obtained by the inclusion of                    surface terms; to give a detailed description of the phase                      boundaries observed in twinned crystals and to protect the                      relative proportions of different phases; the study of surfaces                 endowed with an intrinsic thermodynamic structure and                           thermostatics of phase equilibria; the effect of light                          polarization; dynamical aspects, such as the determination of the               speed of propagation of the interfacial surface at the critical                 temperature and the heat generated during this propagation.
{'FirstName': 'Irene', 'LastName': 'Fonseca', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Irene Fonseca', 'EmailAddress': 'fonseca@andrew.cmu.edu', 'NSF_ID': '000387257', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Carnegie-Mellon University', 'CityName': 'PITTSBURGH', 'ZipCode': '152133815', 'PhoneNumber': '4122688746', 'StreetAddress': '5000 FORBES AVE', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Pennsylvania', 'StateCode': 'PA', 'CONGRESSDISTRICT': '12', 'CONGRESS_DISTRICT_ORG': 'PA12', 'ORG_UEI_NUM': 'U3NKNFLNQ613', 'ORG_LGL_BUS_NAME': 'CARNEGIE MELLON UNIVERSITY', 'ORG_PRNT_UEI_NUM': 'U3NKNFLNQ613'}
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{'Code': '1266', 'Text': 'APPLIED MATHEMATICS'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8803315.xml'}