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Table 2 Strain energy (U) and mode I stress intensity Factor (\(K_I\)) computed with HNA Abaqus-ISET and the non-intrusive static condensation algorithm presented in [12]

From: A hierarchical non-intrusive algorithm for the generalized finite element method

Method

Element type

\(\varvec{K_I}\)

U \(\varvec{(E-5)}\)

\(\varvec{e^r(K_I)(\%)}\)

\(\varvec{e^r(U)(\%)}\)

Reference

–

3.0796

5.55154

–

–

Static Cond.

TET4

2.244

5.114

27.143

7.8729

HNA Abaqus-ISET

TET4

2.230

5.108

27.59

7.981

Static Cond.

TET10

2.885

5.348

6.3266

3.6659

HNA Abaqus-ISET

TET10

2.875

5.342

6.632

3.77

HNA Abaqus-ISET

HEX20

3.052

5.380

0.891

3.093

  1. The element type used in the global problems of the GFEM\(^\text {gl}\) is also listed