The comprehension and modeling of the mechanical behavior of soft biological tissues are essential due to their clinical applications. This knowledge is essential for predicting tissue responses accurately and enhancing our ability to compute the behavior of biological structures and bio-prosthetic devices under specific loading conditions. The current research is centered on modeling the initiation and progression of soft tissues damage, which typically exhibit intricate anisotropic and nonlinear elastic characteristics. For this purpose, the following study presents a comparative analysis of the computational performance of two distinct damage modeling techniques. The first technique employs a well-established damage model, based on a piece-wise exponential damage function as proposed by Calvo et al. (Int J Numer Methods Eng 69:2036–2057, 2007. https://doi.org/10.1002/nme.1825). The second approach adopts a sigmoid function, as proposed by López-Campos et al. (Comput Methods Biomech Biomed Eng 23(6):213–223. https://doi.org/10.1080/10255842.2019.1710742). The aim of this study is to verify the validity of the López-Campos sigmoid-based damage model to be used in finite element simulation, the implementation of which is unknown. For this proposal, both models were implemented within a commercial Finite Element software package, and their responses to local and non-local damage algorithms were assessed in depth through two standard benchmark tests: a plate with a hole and a ball burst. The results of this study indicate that, for a wide range of cases, such as in-plane stresses, out-plane stresses, stress concentration and contact, all over large displacement conditions, the López-Campos damage model shows a good response to non-local algorithms achieving mesh independence and convergence in all these cases. The results obtained are in line with those obtained for the Calvo’s damage model, showing, in addition, larger deformations under in-plane stress and stress concentration conditions and a lower number of iterations under out-plane stress and contact conditions. Consequently, the López-Campos’ damage model emerges as a valuable and useful tool in the field of mechanical damage research in biological systems.

由于其临床应用，对软生物组织机械行为的理解和建模至关重要。这些知识对于准确预测组织反应并增强我们计算特定负载条件下生物结构和生物假体装置行为的能力至关重要。目前的研究集中在模拟软组织损伤的发生和进展，这些损伤通常表现出复杂的各向异性和非线性弹性特征。为此，以下研究对两种不同损伤建模技术的计算性能进行了比较分析。第一种技术采用完善的损伤模型，该模型基于 Calvo 等人提出的分段指数损伤函数。（Int J 数值方法工程 69：2036–2057，2007 年。https://doi.org/10.1002/nme.1825）。第二种方法采用 Sigmoid 函数，由 López-Campos 等人提出。（计算方法 Biomech Biomed Eng 23(6):213–223。https://doi.org/10.1080/10255842.2019.1710742）。本研究的目的是验证用于有限元模拟的基于 López-Campos sigmoid 的损伤模型的有效性，但其实现尚不清楚。对于该提案，这两个模型都在商业有限元软件包中实现，并通过两个标准基准测试深入评估了它们对局部和非局部损伤算法的响应：带孔的板和球爆裂。这项研究的结果表明，对于各种情况，例如面内应力、面外应力、应力集中和接触，在大位移条件下，López-Campos 损伤模型对非-在所有这些情况下实现网格独立性和收敛性的局部算法。获得的结果与 Calvo 损伤模型获得的结果一致，此外还表明，面内应力和应力集中条件下变形较大，而面外应力和接触条件下迭代次数较少。因此，López-Campos 损伤模型成为生物系统机械损伤研究领域中有价值且有用的工具。