RT Journal Article
T1 Toy nanoindentation model and incipient plasticity
A1 Plans, I.
A1 Carpio Rodríguez, Ana María
A1 Bonilla, Luis L.
AB A toy model of two dimensional nanoindentation in finite crystals is proposed. The crystal is described by periodized discrete elasticity whereas the indenter is a rigid strain field of triangular shape representing a hard knife-like indenter. Analysis of the model shows that there are a number of discontinuities in the load vs penetration depth plot which correspond to the creation of dislocation loops. The stress vs depth bifurcation diagram of the model reveals multistable stationary solutions that appear as the dislocation-free branch of solutions develops turning points for increasing stress. Dynamical simulations show that an increment of the applied load leads to nucleation of dislocation loops below the nanoindenter tip. Such dislocations travel inside the bulk of the crystal and accommodate at a certain depth in the sample. In agreement with experiments, hysteresis is observed if the stress is decreased after the first dislocation loop is created. Critical stress values for loop creation and their final location at equilibrium are calculated.
PB Elsevier
SN 0960-0779
YR 2009
FD 2009
LK https://hdl.handle.net/20.500.14352/49848
UL https://hdl.handle.net/20.500.14352/49848
LA eng
NO Plans, I., Carpio Rodríguez, A. M. y Bonilla, L. L. «Toy Nanoindentation Model and Incipient Plasticity». Chaos, Solitons & Fractals, vol. 42, n.o 3, noviembre de 2009, pp. 1623-30. DOI.org (Crossref), https://doi.org/10.1016/j.chaos.2009.03.031.
NO Ministerio de Ciencia, Innovación y Universidades (España)
NO Comunidad de Madrid
DS Docta Complutense
RD 17 abr 2025