Abstract
The paper determines the forms of equations of force equilibrium and Maxwell’s relation for stable coherent phase interfaces in isotropic two-dimensional solids. If any of the two principal stretches of the first phase differs from the two principal stretches of the second phase, one obtains the equality of two generalized scalar forces and of a generalized Gibbs function. The forms of these quantities depend on whether the two principal stretches both increase (decrease) when crossing the interface or whether one of the stretches increases and the other decreases. Apart from this nondegenerate case, also the degenerate cases are discussed. The proofs use the rank 1 convexity condition for isotropic materials.
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Šilhavý, M. (2005). Maxwell’s Relation for Isotropic Bodies. In: Steinmann, P., Maugin, G.A. (eds) Mechanics of Material Forces. Advances in Mechanics and Mathematics, vol 11. Springer, Boston, MA. https://doi.org/10.1007/0-387-26261-X_28
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DOI: https://doi.org/10.1007/0-387-26261-X_28
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-26260-4
Online ISBN: 978-0-387-26261-1
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