M. Silhavy

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The article presents a variational theory of sharp phase interfaces bearing a deformation dependent energy. The theory involves both the standard and Eshelby stresses. The constitutive theory is outlined including the symmetry considerations and some particular cases. The existence of phase equilibria is proved based on appropriate convexity properties of(More)
For interfacial interactions of " separable type " the existence is proved of stable multiphase equilibrium states minimizing the total energy which includes a sharp interface contribution along interfaces separating the phases. The second gradients of deformation do not occur; the theory is based on interfacial null lagrangians as determined in [11–12].(More)
The paper deals with nets formed by two families of fibers (cords) which can grow shorter but not longer, in a deformation. The nets are treated as two dimensional continua in the three dimensional space. The inextensibility condition places unilateral constraint on the partial derivatives y and y of the deformation y Ω of the form |y x| |y x| x x x Ω ⊂(More)
The differentiability of the metric projection P onto a closed convex set K in n is examined. The boundary K can have singular points of orders k − n −. Here k − corresponds to the interior points of K, k to regular points of the boundary (i.e., faces), k n − to edges and k n − to vertices. It is assumed that for every k the set of all singular points forms(More)
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