Continuum Mechanics and Thermodynamics ( IF 1.9 ) Pub Date : 2024-10-09 , DOI: 10.1007/s00161-024-01326-z Yanfei Lu
In this paper, the bone tissue was modeled as a linear viscoelastic material saturated with interstitial fluid. We considered a specific case of harmonic loading and related the mechanical stimuli to the loading frequency. In this way, we could include the inertial effect in the model while not having to deal with the perturbation during each loading period. Two types of mechanical signals were considered: strain energy and dissipation energy. A parametric study revealed the dependency of the two signals on loading frequency and material property. The evolution of the apparent mass density supported the parametric study’s findings. Under the three different frequency loadings, the strain energy-stimulated samples experienced identical remodeling scenarios. The samples stimulated with dissipation energy, on the other hand, exhibited a strong frequency dependence. An additional study was performed to investigate the effect of long-term variations in the loading frequency on the remodeling process. This demonstrated the model’s capabilities in designing and evaluating load regimes for rehabilitation following a bone injury or bone reconstruction.
中文翻译:
使用受谐波机械载荷的微晶型多孔介质进行骨重塑的频率依赖性模型
在本文中,骨组织被建模为充满间质液的线性粘弹性材料。我们考虑了谐波负载的一个特定情况,并将机械刺激与负载频率相关联。通过这种方式,我们可以在模型中包含惯性效应,而不必在每个加载周期内处理扰动。考虑了两种类型的机械信号:应变能和耗散能。一项参数研究揭示了这两个信号对加载频率和材料属性的依赖性。表观质量密度的演变支持了参数研究的结果。在 3 种不同频率载荷下,应变能激发的样本经历了相同的重塑场景。另一方面,用耗散能量刺激的样本表现出很强的频率依赖性。进行了一项额外的研究,以调查加载频率的长期变化对重塑过程的影响。这证明了该模型在设计和评估骨损伤或骨重建后康复负荷状态方面的能力。