The paper focuses on the effect of damage on the bone remodeling process. This is a crucial, although complex, aspect. A one-dimensional continuous deformable body is employed to model living bone tissue. The model incorporates the bone functional adaptation through an evolution law for an effective elastic modulus driven by mechanical feedback via a mechano-transduction diffusive signal. This type of information transduction, i.e., diffusion, is essential for the model to take into account remodeling in the case of minor injury or pathology-affected regions where there is no signal production. In addition, the model is able to also take into account potential tissue damage that may evolve over time according to a suitable evolution law. To illustrate the capability of the model to describe the mentioned complex coupled phenomena, numerical tests have been performed encompassing high external loads causing the onset of damage and cyclic loading for healing. The numerical simulations carried out via finite-element analyses yield insights into the mechanisms of bone remodeling, with the final goal of aiding clinical decisions and implant designs for bone health and repair. Overall, a key aspect of the paper is to highlight the feasibility of modeling the evolution in bone elasticity arising from the combined effect of damage and remodeling.

本文重点研究损伤对骨重塑过程的影响。这是一个至关重要但又复杂的方面。采用一维连续变形体来模拟活体骨组织。该模型通过机械反馈扩散信号驱动的有效弹性模量的演化定律结合了骨功能适应。这种类型的信息转导（即扩散）对于模型考虑到轻伤或没有信号产生的病理影响区域的重塑至关重要。此外，该模型还能够考虑根据适当的进化规律可能随时间演变的潜在组织损伤。为了说明模型描述上述复杂耦合现象的能力，进行了数值测试，包括导致损坏发生的高外部载荷和用于修复的循环载荷。通过有限元分析进行的数值模拟可以深入了解骨重塑的机制，最终目标是帮助骨健康和修复的临床决策和植入物设计。总的来说，本文的一个关键方面是强调对损伤和重塑的综合效应引起的骨弹性演化进行建模的可行性。