Reduced yield-deformation parameters.

This study presents a robust numerical framework for modeling bone tissue mechanics, integrating an orthotropic visco-plasto-damage model with high-resolution bone geometries derived from computed tomography (CT) scans. The model, implemented within a finite element environment, captures essential bone characteristics, including orthotropic elasticity, viscoplasticity, and progressive damage accumulation. To enhance computational efficiency, an octree-based algorithm has been employed to assign local orthotropic axes based on CT data to enable accurate representation of bone mechanical response across complex geometries. Model calibration, based on experimental data from the literature, supported reliable simulations of cortical and trabecular bone, with validation across a range of loading conditions. The practical efficacy of this approach has been demonstrated through a dental implant case study, wherein stress relaxation, plastic deformation, and damage progression within bone tissue were analyzed. Results indicated a pronounced influence of accurate material orientation on the predicted stress distributions, underscoring the necessity of precise orientation for valid biomechanical simulations. The proposed modeling framework may significantly advance the simulation of bone tissue under realistic physiological conditions, with applications in implant design and evaluation. This method provides a scalable solution for simulating orthotropic materials in biomechanical contexts, combining high-fidelity geometrical reconstruction with a suitable constitutive model, thereby offering a valuable tool for the development and optimization of biomedical implants.

本研究提出了一种用于骨组织力学建模的鲁棒数值框架，将正交各向异性黏塑性损伤模型（orthotropic visco-plasto-damage model）与源自计算机断层扫描（computed tomography, CT）的高分辨率骨几何模型相集成。该模型在有限元（finite element）环境中得以实现，可精准捕捉骨组织的关键特性，涵盖正交各向异性弹性、黏塑性与渐进式损伤累积过程。为提升计算效率，本研究采用基于八叉树（octree）的算法，依据CT数据分配局部正交各向异性轴，从而实现复杂几何结构下骨组织力学响应的准确表征。模型校准基于已发表文献中的实验数据，可可靠模拟皮质骨（cortical bone）与松质骨（trabecular bone），并在多种载荷条件下完成了有效性验证。本方法的实际应用效能通过一项牙科植入物（dental implant）案例研究得到验证，该研究分析了骨组织内的应力松弛（stress relaxation）、塑性变形（plastic deformation）与损伤进展过程。研究结果显示，精准的材料取向对预测的应力分布具有显著影响，这凸显了精准取向对于可靠生物力学（biomechanical）模拟的必要性。所提出的建模框架可显著推动真实生理条件下骨组织模拟研究的发展，其应用场景涵盖植入物的设计与性能评估。该方法将高保真几何重建与合适的本构模型（constitutive model）相结合，为生物力学场景下的正交各向异性材料模拟提供了可扩展的解决方案，从而为生物医学植入物（biomedical implants）的开发与优化提供了极具价值的研究工具。