LEADER 01152nam a2200301 i 4500 001 991003084379707536 005 20020503183230.0 008 010315s1961 it ||| | ita 035 $ab10455796-39ule_inst 035 $aEXGIL114833$9ExL 040 $aBiblioteca Interfacoltà$bita 082 0 $a378 110 2 $aIstituto universitario navale$c$09285 245 10$aInaugurazione dell'anno accademico 1960-61 (13 febbraio 1961) :$brelazione del rettore e discorso inaugurale 260 $aNapoli :$bGenovese,$c1961 300 $a25 p. ;$c25 cm. 500 $aRelazione di G. Simeon 500 $aDiscorso inaugurale di E. Spasiano 650 4$aNapoli - Istituto navale$y1959-1960 650 4$aTrasporti$xDiritto 700 1 $aSpasiano, Eugenio 700 1 $aSimeon, Giuseppe 907 $a.b10455796$b02-04-14$c27-06-02 912 $a991003084379707536 945 $aLE002 Busta A 21 4$g1$i2002000761583$lle002$o-$pE0.00$q-$rl$s- $t0$u0$v0$w0$x0$y.i10528088$z27-06-02 996 $aInaugurazione dell'anno accademico 1960-61 (13 febbraio 1961)$9221616 997 $aUNISALENTO 998 $ale002$b01-01-01$cm$da $e-$fita$git $h0$i1 LEADER 02988nam 22004693a 450 001 9910557400803321 005 20230124202257.0 024 8 $ahttps://doi.org/10.30819/5337 035 $a(CKB)5400000000041917 035 $a(ScCtBLL)3dfe288a-61e5-4d05-9412-e4756de2e875 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/75070 035 $a(oapen)doab75070 035 $a(oapen)doab77437 035 $a(EXLCZ)995400000000041917 100 $a20220504i20212022 uu 101 0 $aeng 135 $auru|||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aStudy of an alternative phase field model for low interfacial energy in elastic solids$fAnke Bo?ttcher 210 $aBerlin$cLogos Verlag Berlin$d2021 210 1$a[s.l.] :$cLogos Verlag Berlin,$d2021. 215 $a1 online resource (152 p.) 311 08$a9783832553371 311 08$a3832553371 330 $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. 606 $aScience / Chemistry$2bisacsh 606 $aScience / Physics$2bisacsh 606 $aMathematics$2bisacsh 606 $aScience 615 7$aScience / Chemistry 615 7$aScience / Physics 615 7$aMathematics 615 0$aScience. 700 $aBo?ttcher$b Anke$01227295 801 0$bScCtBLL 801 1$bScCtBLL 906 $aBOOK 912 $a9910557400803321 996 $aStudy of an alternative phase field model for low interfacial energy in elastic solids$92849762 997 $aUNINA