Steinmann, Paul and Schmidt, Ina and Pivonka, Peter and Papastavrou, Areti (2024) A computational two-scale approach to cancellous bone remodelling. Advanced Modeling and Simulation in Engineering Sciences, 11: 13. ISSN 2213-7467
AI Summary:
A novel two-scale approach to computationally capture cancellous bone remodelling has been proposed. The approach couples macro- and meso-scales, enabling the investigation of different trabecular structures at the meso-scale.AI Topics:
We propose a novel two-scale (meso-macro-scale) approach to computationally capture cancellous bone remodelling allowing for efficient and effective numerical implementation. Therein, the macro-scale is governed by the well-established kinematics and kinetics of one-scale continuum bone remodelling. However, the constitutive behaviour is not postulated phenomenologically at the macro-scale, but rather follows from the meso-scale. There, for the sake of computational efficiency, the trabecular architecture is idealised as a truss network with the cross-sectional area of the trabeculae adapting to mechanical loading. Then, the meso- and the macro-scale are coupled through up- and down-scaling. Computational results on benchmark problems from bio-mechanics demonstrate that the proposed two-scale approach is effective from a modelling perspective and efficient from a computational perspective. In particular, it automatically captures anisotropy resulting from the irregular trabecular architecture at the meso-scale, and, most importantly, enables the direct investigation of different trabecular structures at the meso-scale, thereby serving as a virtual “magnifiying glass”. As an outlook, the proposed two-scale approach to cancellous bone remodelling provides an excellent launch pad for further extension, e.g., by considering more complex trabecular architectures and/or through inclusion of micro-scale bone cellular activities.
Steinmann, P.
Author
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Steinmann, Paul and Schmidt, Ina and Pivonka, Peter and Papastavrou, Areti (2024) A computational two-scale approach to cancellous bone remodelling. Advanced Modeling and Simulation in Engineering Sciences, 11: 13. ISSN 2213-7467
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See full publications listSchmidt, Ina
Author
Steinmann, Paul and Schmidt, Ina and Pivonka, Peter and Papastavrou, Areti (2024) A computational two-scale approach to cancellous bone remodelling. Advanced Modeling and Simulation in Engineering Sciences, 11: 13. ISSN 2213-7467
See full publications listPivonka, Peter
Author
Steinmann, Paul and Schmidt, Ina and Pivonka, Peter and Papastavrou, Areti (2024) A computational two-scale approach to cancellous bone remodelling. Advanced Modeling and Simulation in Engineering Sciences, 11: 13. ISSN 2213-7467
See full publications listPapastavrou, Areti
Author
Steinmann, Paul and Schmidt, Ina and Pivonka, Peter and Papastavrou, Areti (2024) A computational two-scale approach to cancellous bone remodelling. Advanced Modeling and Simulation in Engineering Sciences, 11: 13. ISSN 2213-7467
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