Two-phase equilibria in the anti-plane shear of an elastic solid with interfacial effects via global bifurcation
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Publication:5443766
DOI10.1098/rspa.2006.1807zbMath1132.74033OpenAlexW2137718530MaRDI QIDQ5443766
Ulrich Miller, Timothy J. Healey
Publication date: 22 February 2008
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rspa.2006.1807
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Cites Work
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- Symmetry and nodal properties in the global bifurcation analysis of quasi-linear elliptic equations
- Structured phase transitions on a finite interval
- Fine phase mixtures as minimizers of energy
- Construction of two-phase equilibria in a non-elliptic hyperelastic material
- On higher order gradient continuum theories in 1-D nonlinear elasticity. Derivation from and comparison to the corresponding discrete models
- Path-following the equilibria of the Cahn-Hilliard equation on the square
- Interfacial and inhomogeneity penalties in phase transitions
- On the nucleation and propagation of thermoelastic phase transformations in anti-plane shear. I: Couple-stress theory. II: Problems
- Proposed experimental tests of a theory of fine microstructure and the two-well problem
- Surface energy and microstructure in coherent phase transitions
- Pattern formation of the stationary Cahn-Hilliard model
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