Periodic domain walls and ferroelastic bubbles in neodymium pentaphosphate

Meeks, Steven W.; Auld, B. A.

doi:10.1063/1.96282

Cited by 29 publications

(11 citation statements)

References 9 publications

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“…When A -> 0 + , however, we find th at R A S~^S~, S~T z (6.69) Thus, although the S+ variant disappears as A -> 0 + , leaving just S~, the approximate interface has a limiting normal -Se1 + e3. Perhaps similar calcu relevant for the study of ferroelastic bubbles in neodymium pentaphosphate (NPP), as observed by Meeks (1986) (see also Meeks & Auld 1985). N PP undergoes an orthorhombic to monoclinic phase transformation, so th a t the present theory applies.…”

Section: Dyu(x)supporting

confidence: 53%

Proposed experimental tests of a theory of fine microstructure and the two-well problem

Ball

James

1992

Phil. Trans. R. Soc. Lond. A

567

215

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Predictions are made based on an analysis of a new nonlinear theory of martensitic transformations introduced by the authors. The crystal is modelled as a nonlinear elastic material, with a free-energy function that is invariant with respect to both rigid-body rotations and the appropriate crystallographic symmetries. The predictions concern primarily the two-well problem , that of determining all possible energy-minimizing deformations that can be obtained with two coherent and macroscopically unstressed variants of martensite. The set of possible macroscopic deformations obtained is completely determined by the lattice parameters of the material. For certain boundary conditions the total free energy does not attain a minimum , and the finer and finer oscillations of minimizing sequences are interpreted as corresponding to microstructure. The predictions are am enable to experimental tests. The proposed tests involve the comparison of the theoretical predictions with the mechanical response of properly oriented plates subject to simple shear.

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Section: Dyu(x)supporting

confidence: 53%

Proposed experimental tests of a theory of fine microstructure and the two-well problem

Ball

James

1992

Phil. Trans. R. Soc. Lond. A

567

215

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“…5 that a secondary array of needles is formed and that a change of microstructural scales occurs. This computational result may have some relation to the complex microstructure that has been experimentally observed by several researchers [17,18].…”

Section: Computational Resultsmentioning

confidence: 77%

Theory and computation for the microstructure near the interface between twinned layers and a pure variant of martensite

Li¹,

Luskin²

1999

Materials Science and Engineering: A

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Abstract.We report results on a finite element simulation of a needle-like martensitic microstructure observed in biaxial loading experiments conducted by Chu and James on single crystals of the shape-memory alloy Cu-14at.%Al-3.9at.%Ni. This microstructure was observed near an interface between twinned layers of two variants and a pure variant of martensite. We used a geometrically nonlinear theory of martensite to model and compute the complex microstructure by energy minimization with a boundary condition that is compatible with the microstructure. Our computational model has yielded multiple metastable states that depend on the initial state of our energy-minimizing iteration. The simulated twinned layers form branches and bend as they approach the laminate-single variant interface in good agreement with the experiment of Chu and James.

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“…There are situations where elastic energy minimization requires a microstructure consisting of 'layers of layers' (for example Roitburd 1969,1978, Khachaturyan 1983, Ball and James 1 a u s t e n i t e 0 1987,1992); the role of surface energy in this setting has recently been examined by Arlt (1990). An interesting 'zig-zag' microstructure occurs in neodymium pentaphosphate and some other systems (for example Meeks and Auld (1985); a model based on the methods of this paper will be presented elsewhere (Kohn and Muller 1992b). Finally, there has recently been work on numerical minimization of non-convex elastic energies (Collins and Luskin 1989).…”

Section: (2)mentioning

confidence: 98%