Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A direct Jacobian total Lagrangian explicit dynamics finite element
  algorithm for real-time simulation of hyperelastic materials   This paper presents a novel direct Jacobian total Lagrangian explicit
dynamics (DJ-TLED) finite element algorithm for real-time nonlinear mechanics
simulation. The nodal force contributions are expressed using only the Jacobian
operator, instead of the deformation gradient tensor and finite deformation
tensor, for fewer computational operations at run-time. Owing to this proposed
Jacobian formulation, novel expressions are developed for strain invariants and
constant components, which are also based on the Jacobian operator. Results
show that the proposed DJ-TLED consumed between 0.70x and 0.88x CPU solution
times compared to state-of-the-art TLED and achieved up to 121.72x and 94.26x
speed improvements in tetrahedral and hexahedral meshes, respectively, using
GPU acceleration. Compared to TLED, the most notable difference is that the
notions of stress and strain are not explicitly visible in the proposed DJ-TLED
but embedded implicitly in the formulation of nodal forces. Such a force
formulation can be beneficial for fast deformation computation and can be
particularly useful if the displacement field is of primary interest, which is
demonstrated using a neurosurgical simulation of brain deformations for
image-guided neurosurgery. The present work contributes towards a comprehensive
DJ-TLED algorithm concerning isotropic and anisotropic hyperelastic
constitutive models and GPU implementation. The source code is available at
https://github.com/jinaojakezhang/DJTLED.

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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con