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The use of contravariant tensor invariants to model damage in anisotropic soft tissues
Mechanics of Advanced Materials and Structures ( IF 2.8 ) Pub Date : 2021-08-24 , DOI: 10.1080/15376494.2021.1963019
Arthesh Basak 1, 2 , Rajagopal Amirtham 2 , Umesh Basappa 3
Affiliation  

Abstract

Damage in soft biological tissues are a major domain of study as tissues may either undergo degradation with time or may experience in vivo failure during invasive procedures leading to a multitude of medical complications. Continuum damage models have been very successful recently to predict damage that can take place either due to fatigue loading, as a consequence of cyclic physiological loads or if the tissue is exposed to supra physiological loads especially during medical interventions. In this current work we use the mathematical framework of oblique contravariant tensors and their associated invariants to propose a damage function that takes into account the two important stages of progressive damage in collagen fibers (a) damage due to shear between matrix and fiber that can lead to debonding of the fibers and (b) total rupture of fibers. A model for the damage in the matrix has also been taken into account using the concept of equivalent stretch.The model was fitted with uniaxial experimental results from literature and showed very good agreement with the experimental data.



中文翻译:

使用逆变张量不变量模拟各向异性软组织损伤

摘要

软生物组织的损伤是一个主要的研究领域,因为组织可能会随着时间的推移而退化,也可能会在体内经历侵入性手术过程中的失败会导致多种医疗并发症。连续损伤模型最近非常成功地预测了由于疲劳载荷、循环生理载荷或组织暴露于超生理载荷(尤其是在医疗干预期间)而可能发生的损伤。在目前的这项工作中,我们使用倾斜逆变张量及其相关不变量的数学框架来提出一个损伤函数,该函数考虑了胶原纤维中渐进损伤的两个重要阶段 (a) 由于基质和纤维之间的剪切而导致的损伤纤维脱粘和 (b) 纤维完全断裂。还使用等效拉伸的概念考虑了矩阵中的损坏模型。

更新日期:2021-08-24
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