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Table 1 Strain energy (U) and mode I stress intensity factor (\(K_I\)) computed with HNA Abaqus-ISET and ISET only

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

Solver

Element type

\(\varvec{K_I}\)

\(\varvec{K_I}\) rel. diff.

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

U rel. diff.

ISET only

TET4

2.229905

–

5.108473

–

HNA Abaqus-ISET

TET4

2.229903

\(8.97E-7\)

5.108471

\(3.32E-7\)

ISET only

TET10

2.87537

–

5.3423454250874

–

HNA Abaqus-ISET

TET10

2.87537

0

5.3423454250871

\(4.97E-14\)

ISET only

HEX20

3.05214

–

5.37984

–

HNA Abaqus-ISET

HEX20

3.05217

\(7.536E-6\)

5.37986

\(3.604E-6\)

  1. The GFEM\(^\text {gl}\) is adopted in both cases