Shahmohammadi, Mohammad AminMohammad AminShahmohammadiFiedler, Imke A. K.Imke A. K.FiedlerVom Scheidt, AnnikaAnnikaVom ScheidtBusse, BjörnBjörnBusseDüster, AlexanderAlexanderDüster2025-02-202025-02-202024-10-04Proceedings in Applied Mathematics and Mechanics 24 (3): e202400173 (2024)https://hdl.handle.net/11420/54312This study aims to introduce a robust numerical approach to simulate complex small‐scale mediums such as trabecular bone tissue in form of a cylindrical specimen taken from human vertebra. Consideration of previous related studies indicates that there are several challenges in utilizing standard finite element (FE) techniques for the analysis of such biomechanical structures. This is mainly due to their time‐consuming procedure required for generating geometry conforming meshes. In this regard, the finite cell method (FCM) is an interesting alternative because it is based on the concept of the fictitious domain technique in which underlying meshes do not need to conform to the boundary of the domain. Since the considered trabecular bone tissue consists of a complex small‐scale internal morphology, generating a FE mesh is rather complicated. So, the application of the FCM can be justified by overcoming the mentioned shortcomings of FE methods for this problem. Using FCM, it is possible to simulate the mentioned trabecular cylinder from vertebral body using higher order cells of regular shapes where the geometry is taken care of through the numerical integration. The input for the present numerical tool corresponding to the complex internal morphology of the proposed tissue is given by a high‐resolution microCT scan. The outcome of the FCM will be compared to results obtained by mechanical testing of the specimen.en1617-706120243Wileyhttps://creativecommons.org/licenses/by/4.0/Natural Sciences and Mathematics::530: PhysicsNatural Sciences and Mathematics::570: Life Sciences, BiologyTechnology::610: Medicine, HealthTechnology::620: Engineering::620.1: Engineering Mechanics and Materials Science::620.11: Engineering MaterialsTechnology::621: Applied Physics::621.3: Electrical Engineering, Electronic EngineeringJournal Articlehttps://doi.org/10.15480/882.1461310.1002/pamm.20240017310.15480/882.14613Journal Article