Magnesium-based biomedical implants offer many advantages versus traditional ones although some challenges are still present. In this context, mathematical modeling and computational simulation may be a useful and complementary tool to evaluate in silico the performance of magnesium biomaterials under different conditions. In this paper, a phenomenologically-based model to simulate magnesium corrosion is developed. The model describes the physico-chemical interactions and evolution of species present in this phenomenon. A set of 7 species is considered in the model, which allows to simulate hydrogen release, pH evolution, corrosion products formation as well as degradation of magnesium. The model is developed under the continuum media theory and is implemented in a finite element framework. In the results section, the effect of model parameters on outcomes is firstly explored. Second, model results are qualitative validated versus two examples of application found in the literature. Two main conclusions are derived from this work: (i) the model captures well the experimental trends and allows to analyze the main variables present in magnesium corrosion, (ii) even though further validation is needed the model may be a useful standard in the design of degradable metal implants.

尽管仍然存在一些挑战，但基于镁的生物医学植入物与传统植入物相比具有许多优势。在这种情况下，数学建模和计算仿真可能是评估计算机模拟的有用和补充工具镁生物材料在不同条件下的性能。本文建立了一种基于现象学的模拟镁腐蚀的模型。该模型描述了此现象中存在的物种的物理化学相互作用和演化。该模型中考虑了7种物质，可以模拟氢释放，pH释放，腐蚀产物形成以及镁的降解。该模型是在连续介质理论下开发的，并在有限元框架内实现。在结果部分中，首先探讨了模型参数对结果的影响。其次，与文献中的两个应用示例相比，模型结果得到了定性验证。这项工作得出两个主要结论：