Matches in SemOpenAlex for { <https://semopenalex.org/work/W2014190507> ?p ?o ?g. }
- W2014190507 endingPage "1229" @default.
- W2014190507 startingPage "1193" @default.
- W2014190507 abstract "In spite of recent progress in our understanding of the absolute stability of elastic phases under loads, the generic presence of metastable configurations and the possibility of their dynamic breakdown remains a major problem in the mechanical theory of phase transitions in solids. In this paper, by considering the simplest one-dimensional model, we study the interplay between inertial and thermal effects associated with nucleation of a new phase, and address the crucial question concerning the size of a perturbation breaking metastability. We begin by reformulating the nucleation problem as a degenerate Riemann problem. By choosing a specific kinetic relation, originating from thermo-visco-capillary (TVC) regularization, we solve a self-similar problem analytically and demonstrate the existence of two types of solutions: with nucleation and without it. We then show that in the presence of a non-zero latent heat, solution with nucleation may by itself be non-unique. To understand the domain of attraction of different self-similar solutions with and without nucleation, we regularize the model and study numerically the full scale initial value problem with locally perturbed data. Through numerical experiments we present evidence that the TVC regularization is successful in removing deficiencies of the classical thermo-elastic model and is sufficient in specifying the limits of metastability." @default.
- W2014190507 created "2016-06-24" @default.
- W2014190507 creator A5044183859 @default.
- W2014190507 creator A5059382243 @default.
- W2014190507 date "2002-06-01" @default.
- W2014190507 modified "2023-09-29" @default.
- W2014190507 title "Thermo-elastic aspects of dynamic nucleation" @default.
- W2014190507 cites W1495690376 @default.
- W2014190507 cites W1533568430 @default.
- W2014190507 cites W1573261372 @default.
- W2014190507 cites W1589376092 @default.
- W2014190507 cites W1600180198 @default.
- W2014190507 cites W1646766259 @default.
- W2014190507 cites W1968543581 @default.
- W2014190507 cites W1973346297 @default.
- W2014190507 cites W1975546929 @default.
- W2014190507 cites W1977119274 @default.
- W2014190507 cites W1981486221 @default.
- W2014190507 cites W1985877861 @default.
- W2014190507 cites W1987259162 @default.
- W2014190507 cites W1996584940 @default.
- W2014190507 cites W1997491938 @default.
- W2014190507 cites W1997780309 @default.
- W2014190507 cites W2002544802 @default.
- W2014190507 cites W2003215113 @default.
- W2014190507 cites W2008855265 @default.
- W2014190507 cites W2013372181 @default.
- W2014190507 cites W2015990534 @default.
- W2014190507 cites W2017935165 @default.
- W2014190507 cites W2024270455 @default.
- W2014190507 cites W2025919517 @default.
- W2014190507 cites W2027777648 @default.
- W2014190507 cites W2028655042 @default.
- W2014190507 cites W2031219713 @default.
- W2014190507 cites W2031313153 @default.
- W2014190507 cites W2034019174 @default.
- W2014190507 cites W2036230228 @default.
- W2014190507 cites W2038442680 @default.
- W2014190507 cites W2039557338 @default.
- W2014190507 cites W2040085551 @default.
- W2014190507 cites W2042723517 @default.
- W2014190507 cites W2044864676 @default.
- W2014190507 cites W2047377828 @default.
- W2014190507 cites W2049413065 @default.
- W2014190507 cites W2051524346 @default.
- W2014190507 cites W205360716 @default.
- W2014190507 cites W2054181460 @default.
- W2014190507 cites W2054992112 @default.
- W2014190507 cites W2056826596 @default.
- W2014190507 cites W2059664117 @default.
- W2014190507 cites W2073851927 @default.
- W2014190507 cites W2081452007 @default.
- W2014190507 cites W2086688865 @default.
- W2014190507 cites W2087584188 @default.
- W2014190507 cites W2091727318 @default.
- W2014190507 cites W2094395674 @default.
- W2014190507 cites W2108503507 @default.
- W2014190507 cites W2120864055 @default.
- W2014190507 cites W2334606364 @default.
- W2014190507 cites W2576636716 @default.
- W2014190507 cites W3186111832 @default.
- W2014190507 cites W586904642 @default.
- W2014190507 cites W59996502 @default.
- W2014190507 cites W1964499940 @default.
- W2014190507 doi "https://doi.org/10.1016/s0022-5096(01)00127-2" @default.
- W2014190507 hasPublicationYear "2002" @default.
- W2014190507 type Work @default.
- W2014190507 sameAs 2014190507 @default.
- W2014190507 citedByCount "39" @default.
- W2014190507 countsByYear W20141905072012 @default.
- W2014190507 countsByYear W20141905072013 @default.
- W2014190507 countsByYear W20141905072014 @default.
- W2014190507 countsByYear W20141905072015 @default.
- W2014190507 countsByYear W20141905072016 @default.
- W2014190507 countsByYear W20141905072017 @default.
- W2014190507 countsByYear W20141905072020 @default.
- W2014190507 countsByYear W20141905072021 @default.
- W2014190507 countsByYear W20141905072022 @default.
- W2014190507 crossrefType "journal-article" @default.
- W2014190507 hasAuthorship W2014190507A5044183859 @default.
- W2014190507 hasAuthorship W2014190507A5059382243 @default.
- W2014190507 hasBestOaLocation W20141905072 @default.
- W2014190507 hasConcept C121332964 @default.
- W2014190507 hasConcept C121864883 @default.
- W2014190507 hasConcept C134306372 @default.
- W2014190507 hasConcept C149288129 @default.
- W2014190507 hasConcept C154945302 @default.
- W2014190507 hasConcept C177918212 @default.
- W2014190507 hasConcept C199479865 @default.
- W2014190507 hasConcept C2776135515 @default.
- W2014190507 hasConcept C33923547 @default.
- W2014190507 hasConcept C40709475 @default.
- W2014190507 hasConcept C41008148 @default.
- W2014190507 hasConcept C61048295 @default.
- W2014190507 hasConcept C62520636 @default.
- W2014190507 hasConcept C72319582 @default.
- W2014190507 hasConcept C89464430 @default.
- W2014190507 hasConcept C97355855 @default.