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an orthotropic continuum model for the analysis of masonry structures

an orthotropic continuum model for the analysis of masonry structures

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4 1995 TNO-95-NM-R07120.50.10.20.30.4σyσxσyσ xyσxFig. 5 - Yield surface <strong>for</strong> hollow units <strong>masonry</strong> proposed by G<strong>an</strong>z (1989) with iso-shear stress linesContour spacing: 0.1 f mxFinally, it should be realised that a <strong>masonry</strong> macro-<strong>model</strong> always includes some degree <strong>of</strong> approximation.The basic features <strong>of</strong> a two-material composite c<strong>an</strong>not be reproduced but only smeared outin <strong>the</strong> <strong>continuum</strong>. The Þeld <strong>of</strong> applications <strong>of</strong> <strong>the</strong>se <strong>model</strong>s are indeed large <strong>structures</strong> where <strong>the</strong>state <strong>of</strong> stress <strong>an</strong>d strain across a macro-length c<strong>an</strong> be assumed uni<strong>for</strong>m. It is noted that, due to <strong>the</strong>difÞculties <strong>of</strong> carrying out experiments in large <strong>structures</strong>, <strong>the</strong> examples used in <strong>the</strong> present report<strong>for</strong> <strong>the</strong> assessment <strong>of</strong> <strong>the</strong> <strong>model</strong> per<strong>for</strong>m<strong>an</strong>ce (extracted from available literature) are, in general,ÒsmallÓ <strong>for</strong> a macro-<strong>model</strong>ling strategy.The <strong>model</strong> proposed in <strong>the</strong> present report seems however capable <strong>of</strong> reproducing <strong>the</strong> globalbehaviour <strong>of</strong> <strong>the</strong> <strong>an</strong>alysed <strong>structures</strong>. Satisfactory predictions <strong>of</strong> collapse loads are also found providedthat <strong>the</strong> <strong>structures</strong> do not show a highly localized failure mode. In such cases <strong>the</strong> interactionbetween units <strong>an</strong>d mortar c<strong>an</strong> be <strong>of</strong> capital import<strong>an</strong>ce <strong>an</strong>d a micro-<strong>model</strong>, in which both <strong>masonry</strong>components are <strong>model</strong>led separately, should be used instead.

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