@article {Crismale2017,
	title = {Globally stable quasistatic evolution for strain gradient plasticity coupled with damage},
	journal = {Annali di Matematica Pura ed Applicata (1923 -)},
	volume = {196},
	number = {2},
	year = {2017},
	month = {Apr},
	pages = {641{\textendash}685},
	abstract = {<p>We consider evolutions for a material model which couples scalar damage with strain gradient plasticity, in small strain assumptions. For strain gradient plasticity, we follow the Gurtin{\textendash}Anand formulation (J Mech Phys Solids 53:1624{\textendash}1649, 2005). The aim of the present model is to account for different phenomena: On the one hand, the elastic stiffness reduces and the plastic yield surface shrinks due to material{\textquoteright}s degradation, on the other hand the dislocation density affects the damage growth. The main result of this paper is the existence of a globally stable quasistatic evolution (in the so-called energetic formulation). Furthermore, we study the limit model as the strain gradient terms tend to zero. Under stronger regularity assumptions, we show that the evolutions converge to the ones for the coupled elastoplastic damage model studied in Crismale (ESAIM Control Optim Calc Var 22:883-912, 2016).</p>},
	issn = {1618-1891},
	doi = {10.1007/s10231-016-0590-7},
	url = {https://doi.org/10.1007/s10231-016-0590-7},
	author = {Vito Crismale}
}
@article {crismale2016globally,
	title = {Globally stable quasistatic evolution for a coupled elastoplastic{\textendash}damage model},
	journal = {ESAIM: Control, Optimisation and Calculus of Variations},
	volume = {22},
	number = {3},
	year = {2016},
	pages = {883{\textendash}912},
	publisher = {EDP Sciences},
	abstract = {<p>We show the existence of globally stable quasistatic evolutions for a rate-independent material model with elastoplasticity and incomplete damage, in small strain assumptions. The main feature of our model is that the scalar internal variable which describes the damage affects both the elastic tensor and the plastic yield surface. It is also possible to require that the history of plastic strain up to the current state influences the future evolution of damage.</p>},
	doi = {10.1051/cocv/2015037},
	url = {https://www.esaim-cocv.org/articles/cocv/abs/2016/03/cocv150037/cocv150037.html},
	author = {Vito Crismale}
}
