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Medientyp:
E-Artikel
Titel:
Multi-resolution isotropic strain limiting
Beteiligte:
Wang, Huamin;
O'Brien, James;
Ramamoorthi, Ravi
Erschienen:
Association for Computing Machinery (ACM), 2010
Erschienen in:ACM Transactions on Graphics
Sprache:
Englisch
DOI:
10.1145/1882261.1866182
ISSN:
0730-0301;
1557-7368
Entstehung:
Anmerkungen:
Beschreibung:
<jats:p>In this paper we describe a fast strain-limiting method that allows stiff, incompliant materials to be simulated efficiently. Unlike prior approaches, which act on springs or individual strain components, this method acts on the strain tensors in a coordinate-invariant fashion allowing isotropic behavior. Our method applies to both two-and three-dimensional strains, and only requires computing the singular value decomposition of the deformation gradient, either a small 2x2 or 3x3 matrix, for each element. We demonstrate its use with triangular and tetrahedral linear-basis elements. For triangulated surfaces in three-dimensional space, we also describe a complementary edge-angle-limiting method to limit out-of-plane bending. All of the limits are enforced through an iterative, non-linear, Gauss-Seidel-like constraint procedure. To accelerate convergence, we propose a novel multi-resolution algorithm that enforces fitted limits at each level of a non-conforming hierarchy. Compared with other constraint-based techniques, our isotropic multi-resolution strain-limiting method is straightforward to implement, efficient to use, and applicable to a wide range of shell and solid materials.</jats:p>