Photoelectron spectroscopy measurements and density functional theory calculations are
combined to determine structures of Nb n−(n= 3–8) clusters. A detailed comparison between …

We consider time-discrete evolutions for a phase-field model (for fracture and damage)
obtained by alternate minimization schemes. First, we characterize their time-continuous …

We study the existence of quasistatic evolutions for a family of gradient damage models
which take into account fatigue, that is the process of weakening in a material due to …

In this paper we analyze a PDE system modeling (nonisothermal) phase transitions and
damage phenomena in thermoviscoelastic materials. The model is thermodynamically …

We start with a mathematical model which describes the sliding contact of a viscoelastic
body with a moving foundation. The contact is frictional and the wear of the contact surfaces …

The present contribution investigates shape optimization problems for a class of semilinear
elliptic variational inequalities with Neumann boundary conditions. Sensitivity estimates and …

This article is the third one in a series of papers by the authors on vanishing-viscosity
solutions to rate-independent damage systems. While in the first two papers (Knees, D. et al …

We study the optimal control of a rate-independent system that is driven by a convex,
quadratic energy. Since the associated solution mapping is non-smooth, the analysis of …

We show the existence of quasistatic evolutions in a fracture model for brittle materials by a
vanishing viscosity approach, in the setting of planar linearized elasticity. The crack is not …

This paper is concerned with the uniqueness, existence, partial smoothing effect,
comparison principle and long-time behavior of solutions to the initial-boundary value …