Zobrazeno 1 - 10
of 81
pro vyhledávání: '"W. E. Olmstead"'
Autor:
Catherine A. Roberts, W. E. Olmstead
Publikováno v:
SIAM Journal on Applied Mathematics. 70:1678-1690
Thermal blow-up in a superdiffusive medium with a localized energy source is examined for a spatial domain of infinite extent in one, two, and three dimensions. An analysis of a nonlinear model of this problem reveals that the occurrence of a blow-up
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e9fb669ae48a31aaf1a693ab4e58a4c2
https://doi.org/10.1137/090753280
https://doi.org/10.1137/090753280
Autor:
W. E. Olmstead, Catherine A. Roberts
Publikováno v:
SIAM Journal on Applied Mathematics. 69:514-523
The problem of thermal blow-up in a subdiffusive medium is examined within the framework of a fractional heat equation with a nonlinear source term. This model establishes that a thermal blow-up always occurs when a finite strip of subdiffusive mater
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f3b6fe0c91f3308985ed2e626c6f98e6
https://doi.org/10.1137/080714075
https://doi.org/10.1137/080714075
Autor:
W. E. Olmstead, C. M. Kirk
Publikováno v:
Analysis and Applications. :1-16
The problem examined is that of a localized energy source which undergoes planar motion along the surface of a reactive-diffusive medium. This is representative of a laser beam that is moving across the flat surface of a combustible material during a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ff46e82706006531aeadcbb42793b29f
https://doi.org/10.1142/s0219530505000443
https://doi.org/10.1142/s0219530505000443
Publikováno v:
Mathematical and Computer Modelling. 41(2-3):271-285
Frontal polymerization is a process of converting a monomer into a polymer by means of a self-propagating, thermal reaction wave. We study initiation of polymerization waves by a heat source. A five-species reaction model is considered with a focus o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dbba9af82a10486057f5a01208f3c9a8
Autor:
W. E. Olmstead, Cornelius O. Horgan
Publikováno v:
Zeitschrift f�r Angewandte Mathematik und Physik (ZAMP). 54:807-814
A type of Saint-Venant principle is derived for a two-dimensional model of shear band formation in thermoviscoplastic solids. To establish that the thermal energy generated during the formation process remains highly localized, a spatially decaying u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fd516f0a379cec9d69bb7638a519f455
https://doi.org/10.1007/s00033-003-3202-5
https://doi.org/10.1007/s00033-003-3202-5
Autor:
W. E. Olmstead, James A. DiLellio
Publikováno v:
Mechanics of Materials. 35:571-580
To compute shear localization, a recently developed numerical scheme is adapted for application to certain types of materials described by a Johnson–Cook model. In the context of a slab geometry, the numerical scheme requires discretization only in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::25b3b27d94b04b0bf4a15ae736b989b8
https://doi.org/10.1016/s0167-6636(02)00279-x
https://doi.org/10.1016/s0167-6636(02)00279-x
Publikováno v:
SIAM Journal on Applied Mathematics. 63:1831-1848
Frontal polymerization is a process of converting a monomer into a polymer by means of a self-propagating thermal reaction wave. We study initiation of polymerization waves by a high temperature heat source. A five species reaction model is considere
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d12e3eff75593dc19cc8e21cd66c3454
https://doi.org/10.1137/s0036139902413246
https://doi.org/10.1137/s0036139902413246
Autor:
W. E. Olmstead, C. M. Kirk
Publikováno v:
Zeitschrift für angewandte Mathematik und Physik. 53:147-159
A concentrated source of heat is allowed to move in one-dimension through a reactive-diffusive medium. For rather general motion, it is shown that if the speed remains sufficiently high then a blow-up can be avoided; whereas, if the speed remains suf
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::76473e8fad88f06bcb3323affd5a891a
https://doi.org/10.1007/s00033-002-8147-6
https://doi.org/10.1007/s00033-002-8147-6
Publikováno v:
SIAM Journal on Applied Mathematics. 60:1867-1886
A flow law with Arrhenius dependence on temperature is used to model shear localization and shear-band phenomena in thermoviscoplastic materials. Arrhenius dependence is suggested by microstructural arguments for some high-strength metals. Whereas th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eeca72c6806fc5a6f7a37bef7983b8f4
https://doi.org/10.1137/s0036139999350548
https://doi.org/10.1137/s0036139999350548
Autor:
W. E. Olmstead, Catherine A. Roberts
Publikováno v:
Mathematical Methods in the Applied Sciences. 22:1465-1484
The quenching problem is examined for a one-dimensional heat equation with a non-linear boundary condition that is of either local or non-local type. Sufficient conditions are derived that establish both quenching and non-quenching behaviour. The gro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::97273344419cc586766f1fd2c0fa7bd4
https://doi.org/10.1002/(sici)1099-1476(19991110)22:16<1465::aid-mma88>3.0.co
https://doi.org/10.1002/(sici)1099-1476(19991110)22:16<1465::aid-mma88>3.0.co