Abstract In peridynamic models for fracture, the dissipated fracture energy is regularized over a non-local region denoted as horizon. This paper investigates influence of this parameter on dynamic process in brittle solids, using two well three dimensional simulations propagation notched plate loading cases. The predicted crack speed various scenarios initially stored energy, also known veloci...

In this paper, we propose an adaptive finite element algorithm for the numerical solution of a class of nonlocal models which correspond to nonlocal diffusion equations and linear scalar peridynamic models with certain non-integrable kernel functions. The convergence of the adaptive finite element algorithm is rigorously derived with the help of several basic ingredients, such as the upper boun...

Experimental observations of the erosion clays indicate a high degree coupling between hydro-chemical processes in clay–water system and mechanics erosion. In contrast with volume experimental work significance swelling clay many geotechnical engineering problems, limited advances have been made predictive modelling this phenomenon. The critical step, missing existing models, is particles’ deta...