From 011b2da04387cb179c00c1e3394c4a2b5847680c Mon Sep 17 00:00:00 2001 From: David Mercier Date: Tue, 20 Jul 2021 11:15:23 +0200 Subject: [PATCH] Update models.rst --- doc/models.rst | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/doc/models.rst b/doc/models.rst index 9b7f816..678781d 100644 --- a/doc/models.rst +++ b/doc/models.rst @@ -281,7 +281,7 @@ on an elastic-plastic (ductile) substrate, pop-in were observed experimentally a *Schematic of indentation load-displacement curve with a pop-in event and the plot of the load carried by the elastic-plastic substrate.* Some authors explained that a circumferential crack appears at the location of the elastic–plastic boundary in the substrate [#Bahr_2003]_ and [#Morash_2007]_. -The radius :math:`c` of this plastic zone in the ductile substrate is defined by the following equation : +The radius :math:`c` of this plastic zone in the ductile substrate is defined by the following equation: .. math:: c = \sqrt{\frac{3F_\text{crit,s}}{2\pi\sigma_\text{e}}} :label: plastic_zone_radius @@ -350,7 +350,7 @@ References .. [#Stauffer_2012] `Stauffer D.D. et al., "Plastic response of the native oxide on Cr and Al thin films from in situ conductive nanoindentation" (2012). `_ .. [#Wang_2004] `Wang M.G. and Ngan A.H.W., "Indentation strain burst phenomenon induced by grain boundaries in niobium" (2004). `_ .. [#Wang_2012] `Wang L., "Influences of sample preparation on the indentation size effect and nanoindentation pop-in on nickel" PhD Thesis (2012). `_ -.. [#Wang_2021] `Wang D., "Understanding the hydrogen effect on pop-in behavior of an equiatomic high-entropy alloy during in-situ nanoindentation", Journal of Materials Science & Technology (2021). `_ +.. [#Wang_2021] `Wang D. et al., "Understanding the hydrogen effect on pop-in behavior of an equiatomic high-entropy alloy during in-situ nanoindentation", Journal of Materials Science & Technology (2021). `_ .. [#Weibull_1951] `Weibull W., "A statistical distribution function of wide applicability", J. Appl. Mech.-Trans. ASME (1951), 18(3). `_ .. [#Wo_2006] `Wo P.C. et al., "Time-dependent incipient plasticity in Ni3Al as observed in nanoindentation" (2006). `_ .. [#Wu_2014_1] `Wu D. et al., "Effect of tip radius on the incipient plasticity of chromium studied by nanoindentation" (2014). `_