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Table 5 Mean values \(\mu ^{vMmax}_{x}\) and standard deviations \(\sigma ^\mathrm{vMmax}_x\) with \(x \in \{\mathrm{stress}, \mathrm{strain} \}\) for maximum von Mises stress and maximum von Mises strain in the aortic wall computed from Monte Carlo sampling with 10000 identical (per patient) samples. The corresponding parametric configurations are drawn from patient-specific probability distributions

From: Greedy maximin distance sampling based model order reduction of prestressed and parametrized abdominal aortic aneurysms

  Value Patient 1 Patient 2 Patient 3
MC FOM \(\mu ^{\mathrm {vMmax}}_{\mathrm {stress}} \ [\mathrm {kPa}] \) 205.57 276.84 302.49
\(\sigma ^{\mathrm {vMmax}}_{\mathrm {stress}}\ [\mathrm {kPa}]\) 44.950 65.926 71.761
\(\mu ^{\mathrm {vMmax}}_{\mathrm {strain}}\ [-]\) 0.17320 0.19404 0.19070
\(\sigma ^{\mathrm {vMmax}}_{\mathrm {strain}}\ [-]\) 0.038272 0.052792 0.049465
MC DHROM \(\mu ^{\mathrm {vMmax}}_{\mathrm {stress}}\ [\mathrm {kPa}]\) 205.80 277.13 301.85
\(\sigma ^{\mathrm {vMmax}}_{\mathrm {stress}}\ [\mathrm {kPa}]\) 45.0518 65.9210 71.8432
\(\mu ^{\mathrm {vMmax}}_{\mathrm {strain}}\ [-]\) 0.17361 0.19413 0.18946
\(\sigma ^{\mathrm {vMmax}}_{\mathrm {strain}}\ [-]\) 0.038483 0.052680 0.049128