Mathematical Modelling of Structures, Solids and Fluids
http://hdl.handle.net/2160/2918
2016-05-03T05:07:16ZSolution asymptotics near meximum friction surfaces in the plane strain b lock compression : various viscoplastic laws with saturation stress.
http://hdl.handle.net/2160/42024
Solution asymptotics near meximum friction surfaces in the plane strain b lock compression : various viscoplastic laws with saturation stress.
Mishuris, G.; Alexandrov, A.; Miszuris, W.
Jeulin, Dominique; Frost, Samuel
2008-01-01T00:00:00ZLocalisation and dynamic defects in lattice structures
http://hdl.handle.net/2160/42001
Localisation and dynamic defects in lattice structures
Mishuris, G.; Movchan, A.; Slepyan, L. I.
Silberschmidt, Vadim V.
This review paper outlines several formulations for lattice structures where dynamic lattice Green's functions play an important role in analysis of localization near defects as well as fracture in structured media. The mechanism of dissipation discussed here is natural for lattices modelling structured media. The properties of waves generated by cracks, and the exponentially localized vibration modes near small defects are linked to spectral properties of Bloch-Floquet waves in undamaged periodic media. The results outlined in this review paper are based on the work by (2002), (2007), (2007), (2008).
Mishuris, G., Movchan, A., Slepyan, L.I. (2009). Localisation and dynamic defects in lattice structures, In: Computational and Experimental Mechanics of Advanced Materials, CISM International Centre for Mechanical Sciences, P.D. Ruiz and V.V. Silberschmidt (Eds.), Springer, pp. 51-82
2009-01-01T00:00:00ZSolution asymptotics near maximum friction surfaces in plane strain block compression: various viscoplastic laws with a saturation stress
http://hdl.handle.net/2160/40104
Solution asymptotics near maximum friction surfaces in plane strain block compression: various viscoplastic laws with a saturation stress
Mishuris, Gennady; Miszuris, Wiktoria; Alexandrov, S.
The maximum friction requires that the friction stress is equal to the local shear yield stress of material. This law can be a source of singularities in rigid plastic solutions, including rigid viscoplastic solutions. For this reason, many classical solutions of rigid plasticity (rigid perfectly plastic solids) cannot be generalised when conventional rigid viscoplastic models are adopted. In the present paper, as class of rigid viscoplastic models with a saturation stress permitting for a generalisation of the famous Prandtl's solution for compression of a block between two parallel rough plates are considered and the corresponding generalisation of the solution is obtained.
Mishuris, G; Miszuris, W; Alexandrov, S. Solution asymptotics near maximum friction surfaces in plane strain block compression: various viscoplastic laws with a saturation stress. Eds: D. Jeulin, S. Forest. Proceedings of the International Symposium CMDS11. 2008, 225-230.
2008-01-01T00:00:00ZPerturbing Paths of Slow Cracks in PMMA by Local Heating
http://hdl.handle.net/2160/40103
Perturbing Paths of Slow Cracks in PMMA by Local Heating
Mishuris, Gennady; Mishakin, V.; Linkov, A. M.; Alford, N.; Fradkin, L.; Dobroskok, A.
Real-time control of the direction of a propagating crack is little explored area of management of structural integrity. We have examined it with experiments on quasi-static (slow) cracks in PMMA (Polymethyl-Methacrylate). We have observed that in PMMA when the mean crack speeds are low (between 0.1 and 0.4 mm/s) secondary thermal sources of relatively low power (of the order of 2 W) can be used to achieve a significant crack redirection. In this interval the micro-photographs of cracks present a fishbone structure, and we argue that the side lobes arc: micro-cracks which appear inside shear bands. The respective fracture surfaces look rippled (hackled). We have observed a clear reverse correlation between the crack speed and the angle of redirection. When the mean crack speed exceeds 0.4 mm/s) and the fracture surface is mirror smooth no trajectory redirection is achieved. It appears the micro-cracks act as notches and alleviate crack redirection. Therefore, one of our conclusions is that it might be possible to use relatively weak sources to redirect fast cracks that propagate with a super-critical speed. This hypothesis is advanced because fast cracks are also known to possess a fishbone structure and hackled fracture surface.
Fradkin, L; Mishakin, V; Alford, N; Dobroskok, A; Linkov, A; Mishuris, G. Perturbing Paths of Slow Cracks in PMMA by Local Heating. IUTAM SYMPOSIUM ON SCALING IN SOLID MECHANICS. Book Series: IUTAM Bookseries. Editor: Borodich FM. Volume: 10, 37-47
2009-01-01T00:00:00Z