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Title: A Unified Analysis of Penalty-Based Collision Energies
We analyze a wide class of penalty energies used for contact response through the lens of a reduced frame. Applying our analysis to both spring-based and barrier-based energies, we show that we can obtain closed-form, analytic eigensystems that can be used to guarantee positive semidefiniteness in implicit solvers. Our approach is both faster than direct numerical methods, and more robust than approximate methods such as Gauss-Newton. Over the course of our analysis, we investigate physical interpretations for two separate notions of length. Finally, we showcase the stability of our analysis on challenging strand, cloth, and volume scenarios with large timesteps on the order of 1/40 s.  more » « less
Award ID(s):
Author(s) / Creator(s):
Ye, Yuting; Wang Huamin
Date Published:
Journal Name:
Proceedings of the ACM on computer graphics and interactive techniques
Medium: X
Sponsoring Org:
National Science Foundation
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    The drying stress in SC starts increasing sooner and rises to a higher plateau stress value after UVA exposure as compared to non‐UV‐exposed control specimens. For specimens that had sunscreen applied, the UVA‐exposed and non‐UV‐exposed SC had similar drying stress profiles. Additionally, specimens exposed to UVB without protection from sunscreen exhibited significantly lower delamination energies than non‐UV‐exposed controls. With commercial sunscreen applied, the delamination energy for UV‐exposed and non‐UV‐exposed tissue was consistent, even up to large doses of UVB.


    In vitrothin‐film mechanical analysis techniques can readily characterize the effects of SC's exposure to UV radiation. The methods used in this study demonstrated commercial sunscreens were able to preserve the biomechanical properties of SC during UV exposure, thus indicating the barrier function of SC was also maintained.

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    Availability and implementation

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    Supplementary information

    Supplementary data are available at Bioinformatics online.

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