A new surface parameterization method based on one-step inverse forming for isogeometric analysis-suited geometry

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Indexed by:期刊论文

Date of Publication:2013-04-01

Journal:INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY

Included Journals:SCIE、EI、Scopus

Volume:65

Issue:9-12

Page Number:1215-1227

ISSN No.:0268-3768

Key Words:Isogeometric analysis; Surface parameterization; One-step inverse forming; Finite element; Isogeometric analysis-suitable geometry; Surface reconstruction

Abstract:In an attempt to construct an isogeometric analysis-suited geometry for isogeometric analysis, a new surface parameterization method using the one-step inverse forming (SPIA) is proposed. Initial generation of watertight analysis-suitable geometry (NURBS surfaces) with complex shapes can be a significant bottleneck for isogeometric analysis because computer-aided design models often include ambiguities such as gaps and overlaps. Most of traditional surface parameterization techniques are based on geometric method and limited to finite meshes, while SPIA is a physics-based method using sheet metal forming technique with large elastic-plastic deformation and robust enough and rapid to deal with the finite elements mesh with over 100,000 nodes within 2 min without the necessity to simplify the meshes. Using Coons surface parameterization, global mesh parameterization, and NURBS reconstruction, we can rebuild new computer-aided design models with errors under any tolerance to which isogeometric analysis can be applied. The NURBS surfaces after reconstruction are also used for computer-aided manufacturing.

Date of Publication:2013-04-01