# GMRV Publications

# Anisotropic Strain Limiting

Proc. of Congreso Español de Informática Gráfica - 2013

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Many materials exhibit a highly nonlinear elastic behavior, such as
textiles or finger flesh. An efficient way of
enforcing the nonlinearity of these materials is through strain-limiting
constraints, which is often the model of
choice in computer graphics. Strain-limiting allows to model highly
non-linear stiff materials by eliminating degrees
of freedom from the computations and by enforcing a set of constraints.
However, many nonlinear elastic
materials, such as composites, wood or flesh, exhibit anisotropic
behaviors, with different material responses depending
on the deformation direction. This anisotropic behavior has not been
addressed in the past in the context
of strain limiting, and naïve approaches, such as applying a different
constraint on each component of the principal
axes of deformation, produce unrealistic results. In this paper, we
enable anisotropic behaviors when using
strain-limiting constraints to model nonlinear elastic materials. We
compute the limits for each principal axis of
deformation through the rotation and hyperbolic projection of the
deformation limits defined in the global reference
frame. The limits are used to formulate the strain-limiting constraints,
which are then seamlessly combined
with frictional contact constraints in a standard constrained dynamics
solver.

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## BibTex references

@InProceedings\{HCPO13,
author = "Hernandez, Fernando and Cirio, Gabriel and Perez, Alvaro G. and Otaduy, Miguel A.",
title = "Anisotropic Strain Limiting",
booktitle = "Proc. of Congreso Espa\~{n}ol de Inform\'atica Gr\'afica",
year = "2013",
url = "http://www.gmrv.es/Publications/2013/HCPO13"
}

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