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Authors
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Zhandarov, S. ; Mäder, E.
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Title
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Peak force as function of the embredded length in pull-out and microbond tests: effect of specimen geometry
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Date
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09.12.2005
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Number
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12799
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Abstract
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We have derived the equations which explicitly express the peak force, <I>F</I><SUB>max</SUB>, and the apparent interfacial shear strength, <I><IMG SRC="/iso-ents/isogrk32/tau-s.gif" ALT="tau"></I><SUB>app</SUB>, measured in the pull-out and microbond tests, as functions of the embedded length. Three types of test geometries were considered: (1) a fiber embedded in a cylindrical block of the matrix material; (2) microbond test with spherical matrix droplets; and (3) pull-out test in which the matrix droplet had the shape of a hemisphere. Our equations include the local interfacial shear strength (IFSS), <I><IMG SRC="/iso-ents/isogrk32/tau-s.gif" ALT="tau"></I><SUB>d</SUB>, and the frictional interfacial stress, <I><IMG SRC="/iso-ents/isogrk32/tau-s.gif" ALT="tau"></I><SUB>f</SUB>, as parameters; the effect of specimen geometry appeared in the form of dependency of the effective fiber volume fraction on the embedded length. The values of <I><IMG SRC="/iso-ents/isogrk32/tau-s.gif" ALT="tau"></I><SUB>d</SUB> and <I><IMG SRC="/iso-ents/isogrk32/tau-s.gif" ALT="tau"></I><SUB>f</SUB> were determined by fitting our theoretical curves to experimental <I>F</I><SUB>max</SUB> (<I>l</I><SUB>e</SUB>) plots by using the least squares method. Our analysis showed how the local IFSS and the frictional interfacial stress affected the measured <I>F</I><SUB>max</SUB> and <I><IMG SRC="/iso-ents/isogrk32/tau-s.gif" ALT="tau"></I><SUB>app</SUB> values. In particular, it was revealed that intervals of embedded lengths could exist in which frictional interfacial stress had no effect on <I>F</I><SUB>max</SUB> and <I><IMG SRC="/iso-ents/isogrk32/tau-s.gif" ALT="tau"></I><SUB>app</SUB>, even if the <I><IMG SRC="/iso-ents/isogrk32/tau-s.gif" ALT="tau"></I><SUB>f</SUB> value was high. We also derived an equation relating the scatter in the interfacial strength parameters (<I><IMG SRC="/iso-ents/isogrk32/tau-s.gif" ALT="tau"></I><SUB>d</SUB> and <I><IMG SRC="/iso-ents/isogrk32/tau-s.gif" ALT="tau"></I><SUB>f</SUB>) to the scatter in <I><IMG SRC="/iso-ents/isogrk32/tau-s.gif" ALT="tau"></I><SUB>app</SUB>, which is experimentally measurable, and proposed a procedure to determine the standard deviations of <I><IMG SRC="/iso-ents/isogrk32/tau-s.gif" ALT="tau"></I><SU<br />B>d</SUB> and <I><IMG SRC="/iso-ents/isogrk32/tau-s.gif" ALT="tau"></I><SUB>f</SUB> from experimental pull-out and/or microbond test data.
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Publisher
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Journal of Adhesion Science and Technology
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Wikidata
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Citation
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Journal of Adhesion Science and Technology 19 (2005) 817-856
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DOI
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https://doi.org/10.1163/1568561054929937
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Tags
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