an orthotropic continuum model for the analysis of masonry structures
an orthotropic continuum model for the analysis of masonry structures
an orthotropic continuum model for the analysis of masonry structures
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TNO-95-NM-R0712 1995 31a) Total de<strong>for</strong>med mesh b) Incremental de<strong>for</strong>med meshc) Cracks <strong>an</strong>d crushing d) Principal stresses σ min = -9.65 N/mm 2Fig. 29 - Numerical results <strong>for</strong> a horizontal displacement d = 30.0 mm (ultimate). 15 × 15 elementsTw o o<strong>the</strong>r points <strong>of</strong> <strong>the</strong> per<strong>for</strong>m<strong>an</strong>ce <strong>of</strong> <strong>the</strong> <strong>model</strong> deserve special attention. A very good impressionabout <strong>the</strong> robustness <strong>of</strong> <strong>the</strong> <strong>model</strong> is obtained from <strong>the</strong> load-displacement diagram because it ispossible to follow <strong>the</strong> complete load path until total degradation <strong>of</strong> strength. Ano<strong>the</strong>r import<strong>an</strong>tissue is <strong>the</strong> dependency <strong>of</strong> <strong>the</strong> <strong>model</strong> upon mesh reÞnement. Fig. 30 shows <strong>the</strong> comparison between<strong>the</strong> initial mesh <strong>an</strong>d a 2 × Þner mesh. The results are, practically, mesh insensitive <strong>an</strong>d <strong>the</strong>behaviour encountered <strong>for</strong> <strong>the</strong> Þner mesh, see Fig. 31 <strong>an</strong>d Fig. 32, shows no difference from <strong>the</strong>behaviour <strong>of</strong> <strong>the</strong> coarser mesh.200.0Horizontal <strong>for</strong>ce F [kN]150.0100.050.030 x 30 elements15 x 15 elements0.00.0 10.0 20.0 30.0Horizontal displacement d [mm]Fig. 30 - Mesh dependency <strong>of</strong> <strong>the</strong> solution