Journal: Meccanica

Article Title: Effects of a nonlocal microstructure on peeling of thin films

doi: 10.1007/s11012-024-01786-2

Figure Lengend Snippet: Mapping of the undeformed peridynamic body into its deformed state, corresponding to some step t of a loading process. Material particle \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varvec{x}$$\end{document} x interacts with all the ones belonging to a certain region centred in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varvec{x}$$\end{document} x (in red), called its family , \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {H}(\varvec{x})$$\end{document} H ( x ) . Interactions are made explicit through the rise of reciprocal forces exerted on pairs \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(\varvec{x},\varvec{x}')$$\end{document} ( x , x ′ ) due to deformation

Article Snippet: The reduced formulation is also compared with full-scale bond-based peridynamic analysis performed through ANSYS ® .

Techniques:

Journal: Meccanica

Article Title: Effects of a nonlocal microstructure on peeling of thin films

doi: 10.1007/s11012-024-01786-2

Figure Lengend Snippet: The final configuration (on the left) and contour plot of the displacements (on the right) for the analysis conducted using ANSYS ® on a thin film (in red, with \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta =0.3H$$\end{document} δ = 0.3 H ) laying on a soft substrate (in blue) subjected to a peeling test and characterised by a microstructure which corresponds to the discrete approximation of bond-based peridynamics. The model is full-dimensional, meaning no reduction through the thickness has been performed. Final displacement of the test amounts to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$u=45\%$$\end{document} u = 45 % H. Still, comparison with results from the reduced formulation shows a very close (qualitative and quantitative) resemblance

Article Snippet: The results from the model are compared with a fully three-dimensional analysis (conducted on the same case study) by implementing a discrete approximation of bond-based peridynamics in ANSYS ® .

Techniques: Comparison, Formulation