ArticleComputer methods in applied mechanics and engineering2018
A contact formulation based on a volumetric potential: Application to isogeometric simulations of atrioventricular valves.
Article in Computer methods in applied mechanics and engineering, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 36 papers.
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Who cites it
36 citing papers in PubMed.
- Effect of Parametric Variation of Chordae Tendineae Structure on Simulated Atrioventricular Valve Closure.Annals of biomedical engineering · 2026Article
- Biomechanically Informed Image Registration for Patient-Specific Aortic Valve Strain Analysis.Annals of biomedical engineering · 2026Article
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- Biomechanically Informed Image Registration for Patient-Specific Aortic Valve Strain Analysis.ArXiv · 2026Article
- Graph Neural Network Surrogates for Contacting Deformable Bodies with Necessary and Sufficient Contact Detection.Computer methods in applied mechanics and engineering · 2026Article
- ValveFit: An analysis-suitable B-spline-based surface fitting framework for patient-specific modeling of tricuspid valves.Computer methods in applied mechanics and engineering · 2026Article
- An open-source computational framework for immersed fluid-structure interaction modeling using FEBio and MFEM.Engineering with computers · 2026Article
- Article
- A noninvasive method for determining elastic parameters of valve tissue using physics-informed neural networks.Acta biomaterialia · 2025Article
- A Neural Network Finite Element Trileaflet Heart Valve Model Incorporating Multi-Body Contact.International journal for numerical methods in biomedical engineering · 2025Article
- HETEROGENEOUS PERIDYNAMIC NEURAL OPERATORS: DISCOVER BIOTISSUE CONSTITUTIVE LAW AND MICROSTRUCTURE FROM DIGITAL IMAGE CORRELATION MEASUREMENTS.Foundations of data science (Springfield, Mo.) · 2025Article
- Article
- Geometric data of commercially available tricuspid valve annuloplasty devices.Data in brief · 2024Article
- Impact of tricuspid annuloplasty device shape and size on valve mechanics-a computational study.JTCVS open · 2024Article
- A systematic comparison between FEBio and PolyFEM for biomechanical systems.Computer methods and programs in biomedicine · 2024Article
- Automated shape and thickness optimization for non-matching isogeometric shells using free-form deformation.Engineering with computers · 2024Article
- Parameterization, algorithmic modeling, and fluid-structure interaction analysis for generative design of transcatheter aortic valves.Engineering with computers · 2024Article
- Current progress toward isogeometric modeling of the heart biophysics.Biophysics reviews · 2023Review
- The effects of leaflet material properties on the simulated function of regurgitant mitral valves.Journal of the mechanical behavior of biomedical materials · 2023Article
Corrections and comments
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Authors and funding
6 authors.
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Abstract
This work formulates frictionless contact between solid bodies in terms of a repulsive potential energy term and illustrates how numerical integration of the resulting forces is computationally similar to the "pinball algorithm" proposed and studied by Belytschko and collaborators in the 1990s. We thereby arrive at a numerical approach that has both the theoretical advantages of a potential-based formulation and the algorithmic simplicity, computational efficiency, and geometrical versatility of pinball contact. The singular nature of the contact potential requires a specialized nonlinear solver and an adaptive time stepping scheme to ensure reliable convergence of implicit dynamic calculations. We illustrate the effectiveness of this numerical method by simulating several benchmark problems and the structural mechanics of the right atrioventricular (tricuspid) heart valve. Atrioventricular valve closure involves contact between every combination of shell surfaces, edges of shells, and cables, but our formulation handles all contact scenarios in a unified manner. We take advantage of this versatility to demonstrate the effects of chordal rupture on tricuspid valve coaptation behavior.
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