000			03360cam a2200529Ma 4500
001			on1296711993
003			OCoLC
005			20230405100224.0
006			m d
007			cr u||||||||||
008			220203p20212022xx o u00| u eng d
040			_aUKKNU _beng _cUKKNU _dOCLCO _dOCLCF _dUAB _dUKKNU _dOCLCQ _dN$T
019			_a1296712098
020			_a3832553371
020			_a9783832553371 _q(electronic bk.)
024	8		_ahttps://doi.org/10.30819/5337
035			_a3541221 _b(N$T)
035			_a(OCoLC)1296711993 _z(OCoLC)1296712098
037			_5BiblioBoard
050		4	_aInternet Access _bAEU
082	0	4	_a510
049			_aMAIN
100	1		_aB�ottcher, Anke _eauthor.
245	1	0	_aStudy of an alternative phase field model for low interfacial energy in elastic solids _cAnke B�ottcher.
264		1	_a[s.l.] : _bLogos Verlag Berlin, _c2021.
300			_a1 online resource (152 p.)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
520			_aIn 2005, the hybrid model was published by Prof. H.-D. Alber and Prof. P. Zhu as an alternative to the Allen-Cahn model for the description of phase field transformations. With low interfacial energy, it is more efficient, since the resolution of the diffuse interface is numerically broader for the same solution accuracy and allows coarser meshing. The solutions of both models are associated with energy minimisation and in this work the error terms introduced in the earlier publications are discussed and documented using one and two dimensional numerical simulations. In the last part of this book, phase field problems, initially not coupled with material equations, are combined with linear elasticity and, after simple introductory examples, a growing martensitic inclusion is simulated and compared with literature data. In addition to the confirmed numerical advantage, another phenomenon not previously described in the literature is found: with the hybrid model, in contrast to the examples calculated with the Allen-Cahn model, an inclusion driven mainly by curvature energy does not disappear completely. The opposite problem prevents inclusions from growing from very small initial configurations, but this fact can be remedied by a very finely chosen diffuse interface width and by analysing and adjusting the terms that generate the modelling errors. The last example shows that the hybrid model can be used with numerical advantages despite the above mentioned peculiarities.
588	0		_aDescription based on print version record.
590			_aAdded to collection customer.56279.3
650		0	_aScience.
650		2	_aScience
650		6	_aSciences.
650		7	_asciences (philosophy) _2aat
650		7	_aScience / Chemistry. _2bisacsh
650		7	_aScience / Physics. _2bisacsh
650		7	_aMathematics. _2bisacsh
650		7	_aScience. _2fast _0(OCoLC)fst01108176
758			_iIs found in: _aLogos Verlag Berlin _1https://torl.biblioboard.com/module/daeb12f2-d5d5-4851-9adf-8da78cf4e7ff
856	4	0	_3EBSCOhost _uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=3541221
938			_aKnowledge Unlatched _bKNOW _n3dfe288a-61e5-4d05-9412-e4756de2e875
938			_aEBSCOhost _bEBSC _n3541221
994			_a92 _bN$T
999			_c45596 _d45596