TY - JOUR
T1 - T-spline based XIGA for fracture analysis of orthotropic media
AU - Ghorashi, S. Sh
AU - Valizadeh, N.
AU - Mohammadi, S.
AU - Rabczuk, Timon
PY - 2015/1/15
Y1 - 2015/1/15
N2 - Fracture analysis of orthotropic cracked media is investigated by applying the recently developed extended isogeometric analysis (XIGA) (Ghorashi et al., 2012) using the T-spline basis functions. The signed distance function and orthotropic crack tip enrichment functions are adopted for extrinsically enriching the conventional isogeometric analysis approximation for representation of strong discontinuity and reproducing the stress singular field around a crack tip, respectively. Moreover, by applying the T-spline basis functions, XIGA is further developed to make the local refinement feasible. For increasing the integration accuracy, the 'sub-triangle' and 'almost polar' techniques are adopted for the cut and crack tip elements, respectively. The interaction integral technique developed by Kim and Paulino (2003) is applied for computing the mixed mode stress intensity factors (SIFs). Finally, the proposed approach is applied for analysis of some cracked orthotropic problems and the mixed mode SIFs are compared with those of other methods available in the literature.
AB - Fracture analysis of orthotropic cracked media is investigated by applying the recently developed extended isogeometric analysis (XIGA) (Ghorashi et al., 2012) using the T-spline basis functions. The signed distance function and orthotropic crack tip enrichment functions are adopted for extrinsically enriching the conventional isogeometric analysis approximation for representation of strong discontinuity and reproducing the stress singular field around a crack tip, respectively. Moreover, by applying the T-spline basis functions, XIGA is further developed to make the local refinement feasible. For increasing the integration accuracy, the 'sub-triangle' and 'almost polar' techniques are adopted for the cut and crack tip elements, respectively. The interaction integral technique developed by Kim and Paulino (2003) is applied for computing the mixed mode stress intensity factors (SIFs). Finally, the proposed approach is applied for analysis of some cracked orthotropic problems and the mixed mode SIFs are compared with those of other methods available in the literature.
KW - Crack
KW - Extended isogeometric analysis (XIGA)
KW - Local refinement
KW - Orthotropic enrichment functions
KW - Orthotropic media
KW - T-spline basis functions
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U2 - 10.1016/j.compstruc.2014.09.017
DO - 10.1016/j.compstruc.2014.09.017
M3 - Article
AN - SCOPUS:84912544705
VL - 147
SP - 138
EP - 146
JO - Computers and Structures
JF - Computers and Structures
SN - 0045-7949
ER -