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1

Analyzing ligament prestrain in a multibody model of an ankle joint with random sampling

Ciszkiewicz Adam

Acta of Bioengineering and Biomechanics

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2023

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Vol. 25, no. 4

EN

The joints of the lower limb are the key elements in enabling the interaction of the body and the ground during gait [2]. At the same time, the ankle represents one the first links in this load-transferring mechanism. The problems and applications of digital twin modeling, which represent highly accurate and validated models used for treatment and surgical planning, are becoming ever more popular as indicated by recent publications [15], [16]. Nevertheless, these models require modern and advanced tools for validation and efficient exploration of the solution space. This is only even more evidenced by the complex nature of the body joints present in the lower limb.

2

Self-adjoint extensions of differential operators and exterior topological derivatives in shape optimization

Nazarov S. A., Sokołowski J.

Control and Cybernetics

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2005

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Vol. 34, no 3

903-925

EN

Self-adjoint extensions are constructed for a family of boundary value problems in domains with a thin ligament and an asymptotic analysis of a Lq-continuous functional is performed. The results can be used in numerical methods of shape and topology optimization of integral functionals for elliptic equations. At some stage of optimization process the singular perturbation of geometrical domain by an addition of thin ligament can be replaced by its approximation denned for the appropriate self-adjoint extension of the elliptic operator. In this way the topology variation of current geometrical domain can be determined and used e.g., in the level-set type methods of shape optimization.

3

Wpływ własności materiałowych więzadeł na rozkład naprężeń w modelu ząb-więzadła-kość

Gąsiorek D., Gzik M.

Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska

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2004

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z. 24

47-52

PL

W przypadku symulacji numerycznych układów biomechanicznych słotną rolę odgrywają przyjęte własności materiałowe. W pracy został pokazany wpływ danych materiałowych więzadeł przyjętych do symulacji numerycznej układu ząb więzadło-kość na rozkład naprężeń w poszczególnych elementach modelu. Dane materiałowe przyjęto na podstawie przeglądu literaturowego. Symulacje numeryczne wykonano wykorzystując metodę elementów skończonych.

EN

In the case of numerical simulations of biomechanical systems, materiał properties are very important. The influence of the ligaments materiał properties on the stress distribution in individual elements of the tooth-ligaments-bone model was presented in this paper. Materiał properties were assumed on the basis of literaturę review. Numerical simulations were performed with the use of finite element method.