ArticleComputational mechanics2020
Versatile stabilized finite element formulations for nearly and fully incompressible solid mechanics.
Article in Computational mechanics, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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Who cites it
8 citing papers in PubMed.
- An effective and accurate semi-implicit time integration scheme for dynamics in nearly- and fully-incompressible hyperelastic solids.Journal of computational physics · 2026Article
- Modification of a poroelastic model for zero porosity: finite element implementation and investigation of fluid mechanics in the perivascular space.Biomechanics and modeling in mechanobiology · 2026Article
- FSGe: A fast and strongly-coupled 3D fluid-solid-growth interaction method.Computer methods in applied mechanics and engineering · 2024Article
- Unified one-dimensional finite element for the analysis of hyperelastic soft materials and structures.Mechanics of advanced materials and structures · 2023Article
- Robust and efficient fixed-point algorithm for the inverse elastostatic problem to identify myocardial passive material parameters and the unloaded reference configuration.Journal of computational physics · 2022Article
- An accurate, robust, and efficient finite element framework with applications to anisotropic, nearly and fully incompressible elasticity.Computer methods in applied mechanics and engineering · 2022Article
- A computationally efficient physiologically comprehensive 3D-0D closed-loop model of the heart and circulation.Computer methods in applied mechanics and engineering · 2021Article
- Reconstructing vascular homeostasis by growth-based prestretch and optimal fiber deposition.Journal of the mechanical behavior of biomedical materials · 2021Article
Corrections and comments
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Authors and funding
4 authors.
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Abstract
Computational formulations for large strain, polyconvex, nearly incompressible elasticity have been extensively studied, but research on enhancing solution schemes that offer better tradeoffs between accuracy, robustness, and computational efficiency remains to be highly relevant. In this paper, we present two methods to overcome locking phenomena, one based on a displacement-pressure formulation using a stable finite element pairing with bubble functions, and another one using a simple pressure-projection stabilized ℙ
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Registered trials
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