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Hyperelastic springback technique for construction of prismatic mesh layers

Garanzha, Vladimir, Liudmila Kudryavtseva

Proceedings, 26th International Meshing Roundtable, Elsevier, Science Direct, September 18-21 2017


26th International Meshing Roundtable
Barcelona, Spain
September 18-21, 2017

Vladimir Garanzha, Dorodnicyn Computing Center FRC CSC RAS, Moscow, RU,
Liudmila Kudryavtseva, Dorodnicyn Computing Center FRC CSC RAS, Moscow, RU,

We consider algorithm for construction of thick prismatic mesh layers. Triangular surface mesh is specified. Thin initial layer of highly compressed hyperelastic material glued to the surface is constructed using robust algorithm for computation of discrete normals. This pre-stressed material expands, possibly with self-penetration and extrusion to exterior of computational domain. Special preconditioned relaxation procedure is suggested which solves stationary springback problem. Preconditioner has demonstrated the ability to handle very stiff problems related to construction of very thick one-cell-wide layers for quite fine surface meshes. As soon as offset prismatic mesh is constructed self-intersections are eliminated using iterative prism cutting procedure and variational advancing front procedure is applied for refinement and precise orthogonalization of prismatic layer near boundaries. Method is guaranteed to be free from inverted prisms.

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