TY - GEN
T1 - Reduced order modeling for the nonlinear geometric response of cracked panels
AU - Perez, R.
AU - Wang, X. Q.
AU - Mignolet, Marc
N1 - Funding Information:
The financial support of this work by the grant FA9550-10-1-0080 from the Air Force Office of Scientific Research with Dr D. Stargel as grant monitor is gratefully acknowledged.
PY - 2011
Y1 - 2011
N2 - The focus of this investigation is on a first assessment of the predictive capabilities of nonlinear geometric reduced order models for the prediction of the large displacement and stress fields of cracked panels. First, a comparison of the basis functions employed for virgin and cracked panels revealed clearly visible crack effects but only on the transverse components of the "dual" modes, i.e. the part of the basis modeling primarily the in-plane displacements. Next, it was demonstrated that the reduced order models of both virgin and cracked panels provided a close match of the displacement field obtained from full finite element analyses of the cracked panel for moderately large static responses (peak displacement of 2 and 4 thicknesses). In regards to stresses, it was found that the cracked panel reduced order model led to a close prediction of the stress distribution obtained on the cracked panel as computed by the finite element model. Finally, two " enrichment" techniques, based on superposition of the crack effects on the virgin panel stress field, were proposed to permit a close prediction of the stress distribution of the cracked panel from the reduced order model of the virgin one. A very good prediction of the full finite element results was achieved with both enrichments.
AB - The focus of this investigation is on a first assessment of the predictive capabilities of nonlinear geometric reduced order models for the prediction of the large displacement and stress fields of cracked panels. First, a comparison of the basis functions employed for virgin and cracked panels revealed clearly visible crack effects but only on the transverse components of the "dual" modes, i.e. the part of the basis modeling primarily the in-plane displacements. Next, it was demonstrated that the reduced order models of both virgin and cracked panels provided a close match of the displacement field obtained from full finite element analyses of the cracked panel for moderately large static responses (peak displacement of 2 and 4 thicknesses). In regards to stresses, it was found that the cracked panel reduced order model led to a close prediction of the stress distribution obtained on the cracked panel as computed by the finite element model. Finally, two " enrichment" techniques, based on superposition of the crack effects on the virgin panel stress field, were proposed to permit a close prediction of the stress distribution of the cracked panel from the reduced order model of the virgin one. A very good prediction of the full finite element results was achieved with both enrichments.
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U2 - 10.2514/6.2011-2018
DO - 10.2514/6.2011-2018
M3 - Conference contribution
AN - SCOPUS:84872469005
SN - 9781600869518
T3 - Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
BT - 52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
T2 - 52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Y2 - 4 April 2011 through 7 April 2011
ER -