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M. Latorre, J.D. Humphrey , "Rate-independent growth and remodelling of soft biological tissues: a constrained mixture approach for finite element analysis", in B.H.V. Topping, J. Kruis, (Editors), "Proceedings of the Fourteenth International Conference on Computational Structures Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 3, Paper 2.4, 2022, doi:10.4203/ccc.3.2.4

Keywords: growth, remodelling, constrained mixture, mechanobiology, finite elements, artery.

Abstract

Constrained mixture models of soft tissue growth and remodelling enable one to simulate many evolving conditions in health, disease, and its treatment, but they tend to be computationally expensive. Here, we present results from a new rate-independent 3D computational formulation for soft tissue growth and remodelling based on a mechanobiologically equilibrated solution, which allows computation of fully resolved long-term responses as well as quasi-equilibrated evolutions for which imposed perturbations are slow relative to the adaptive process. The formulation retains mechanobiologically important properties, like different material properties and rates of turnover of the individual constituents that define the tissue. The associated implicit numerical algorithm at stress integration points is compact and easily implemented within existing finite element solvers. Its consistent linearization yields quadratic convergence during global finite element iterations, with computational efficiency comparable to that for finite strain elasticity. Numerical simulations of complex situations for arterial mechanics, including the enlargement of aneurysms, demonstrate its computational efficiency and robustness. We submit, therefore, that constrained

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Front Page Browse CCC CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Conferences ISSN 2753-3239 CCC: 3 PROCEEDINGS OF THE FOURTEENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: B.H.V. Topping and J. Kruis Paper 2.4 Rate-independent growth and remodelling of soft biological tissues: a constrained mixture approach for finite element analysis M. Latorre¹ and J.D. Humphrey² ¹Center for Research and Innovation in Bioengineering, Universitat Politècnica de València, València, Spain ²Department of Biomedical Engineering, Yale University New Haven, United States doi:10.4203/ccc.3.2.4 Full Bibliographic Reference for this paper M. Latorre, J.D. Humphrey , "Rate-independent growth and remodelling of soft biological tissues: a constrained mixture approach for finite element analysis", in B.H.V. Topping, J. Kruis, (Editors), "Proceedings of the Fourteenth International Conference on Computational Structures Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 3, Paper 2.4, 2022, doi:10.4203/ccc.3.2.4 Keywords: growth, remodelling, constrained mixture, mechanobiology, finite elements, artery. Abstract Constrained mixture models of soft tissue growth and remodelling enable one to simulate many evolving conditions in health, disease, and its treatment, but they tend to be computationally expensive. Here, we present results from a new rate-independent 3D computational formulation for soft tissue growth and remodelling based on a mechanobiologically equilibrated solution, which allows computation of fully resolved long-term responses as well as quasi-equilibrated evolutions for which imposed perturbations are slow relative to the adaptive process. The formulation retains mechanobiologically important properties, like different material properties and rates of turnover of the individual constituents that define the tissue. The associated implicit numerical algorithm at stress integration points is compact and easily implemented within existing finite element solvers. Its consistent linearization yields quadratic convergence during global finite element iterations, with computational efficiency comparable to that for finite strain elasticity. Numerical simulations of complex situations for arterial mechanics, including the enlargement of aneurysms, demonstrate its computational efficiency and robustness. We submit, therefore, that constrained download the full-text of this paper (PDF, 5 pages, 343 Kb) go to the previous paper go to the next paper return to the table of contents return to the volume description
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