On martensitic phase nucleation with surface effects
type: Item
instance of: scholarly article
title: On martensitic phase nucleation with surface effects
zbMATH Open document ID: 0813.73007
DOI: 10.1016/0022-5096(94)90010-8
published in: Journal of the Mechanics and Physics of Solids
publication date: 1995-06-12T00:00:00Z
review text: This paper investigates the concentric phase nucleation in which a dilatational martensitic phase transition occurs in a nonlinear isotropic hyperelastic cylinder subjected to an axially and radially symmetric loading at the boundary. A very special strain energy function, whose dilatational part causes the field equations to lose their ellipticity within a finite interval of dilatation, is adopted. A quasistatic deformation is assumed, and field equations and jump conditions in material description are employed. The nucleated embryo is thought to be separated from the matrix material by a slowly moving shock surface across which dilatation suffers a finite discontinuity. This surface which represents the transition layer is endowed with certain physical properties. The problem is solvable in quasistatic approximation, although it involves rather tedious algebra. Various cases, especially the stability of embryos, are studied in great detail, and the results are effectively displayed graphically.
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74J99
Mathematics Subject Classification ID: 80A22
zbMATH DE Number: 563479
zbMATH Keywords: isotropic hyperelastic cylinder
zbMATH Keywords: strain energy function
zbMATH Keywords: dilatation
zbMATH Keywords: quasistatic deformation
zbMATH Keywords: jump conditions
zbMATH Keywords: moving shock surface
zbMATH Keywords: finite discontinuity
zbMATH Keywords: stability of embryos
author: Mark T. Lusk
reviewed by: Erdoğan S. Şuhubi
MaRDI profile type: Publication
full work available at URL: 0022-5096(94)90010-8
OpenAlex ID: W2073821266
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description: scientific article; zbMATH DE number 563479