Summary
Realization of the full benefits of variable p-version finite elements requires the careful construction of prismatic elements in thin sections. This paper presents a procedure to automatically isolate the thin sections using the points on an approximate medial surface computed by an octree-based algorithm. Using the pairs of triangles associated with medial surface (MS) points, in conjunction with adjacency, classification and distance information, sets of surface triangles that are on opposite face patches in thin sections are identified. Mesh modifications are then executed to match the surface triangulations on the opposite face patches such that prismatic elements can be generated without diagonal edges through the thickness directions.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J.N. Reddy, Theory and analysis of elastic plates. 1999, Taylor & Francies.
R.J. Donaghy, C.G Armstrong, M.A. Price (2000) Dimensional Reduction of surface models for analysis. Eng. with Computers 16: 24–35.
RL Actis, SP Engelstad, BA Szabo (2002) Computational requirements in design and design certification, Collection of Technical Papers-AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, pp. 1379–1389.
Duster, H. Broker, E. Rank (2001) The p-version of the finite element method for three dimensional curved thin walled structures, Int. J. Numer. Methods Engrg, 52: 673–703.
C.A. Duarte, I. Babuska (2002) Mesh-independent p-orthotropic enrichment using the generalized finite element method, Int. J. Numer. Methods Engrg, 55: 1477–1492.
S. Dey, M.S. Shephard, J. E. Flaherty (1997) Geometry representation issues associated with p-version finite element computation, Comput. Methods. Appl. Mechanics. Engrg., 150: 39–55.
C.K. Lee, Q.X. Xu (2005) A new automatic adaptive 3D solid mesh generation scheme for thin-walled structures. Inter. J. Numer. Meth. Engng 62: 1519–1558.
N. M. Patrikalakis, H. N. Gursoy (1990) Shape interrogation by medial axis transform, ASME Advances in Design Automation, 16th design automation conf., Chicago, DE-vol 23, 77–88.
P. Sampl (2001) Medial axis construction in three dimensions and its application to mesh generation. Engineering with Computers 17: 234–248.
M. A. Price, C. G. Armstrong, M. A. Sabin (1995) Hexahedral mesh generation by medial surface subdivision: I. Solids with convex edges, Int. J. Numer. Meth. Eng, 38, 3335–3359
M. A. Price, C. G. Armstrong (1997) Hexahedral mesh generation by medial surface subdivision: part II. Solids with flat and concave edges, Int. J. Numer. Meth. Eng, 40, 111–136
K-F Tchon, M. Khachan, F. Fuibault, R. Camarero (2005) Three-dimensional anisotropic geometric metrics based on local domain curvature and thickness, Computer-Aided Design 37: 173–187
X. Li, M.S. Shephard, M.W. Beall (2003) Accounting for curved domains in mesh adaptation, Int. J. Numer. Methods Engrg, 58: 247–276.
X.J. Luo, M.S. Shephard, R.M. Obara, R. Nastasia, M.W. Beall (2004) “Automatic p-version mesh generation for curved domains”, Engrg. Comput. 20: 265–285.
M.W. Beall and M.S. Shephard (1997) A general topology-based mesh data structure, Inter. J. Numer. Meth. Engng 40: 1573–1596.
A. Lieutier (2004) Any open bounded subset of rn has the same homotopy type as its medial axis, Computer-Aided Design 36: 1029–1046.
M. Ainsworth and J.T. Oden (2000) A posteriori error estimation in finite element analysis, A wiley-interscience publication.
StressCheck User’s Manual (2005)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Yin, L., Luo, X., Shephard, M.S. (2005). Identifying and Meshing Thin Sections of 3-d Curved Domains. In: Hanks, B.W. (eds) Proceedings of the 14th International Meshing Roundtable. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-29090-7_3
Download citation
DOI: https://doi.org/10.1007/3-540-29090-7_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25137-8
Online ISBN: 978-3-540-29090-2
eBook Packages: EngineeringEngineering (R0)