Aspects of Modeling and Computer Simulation of Soft Tissues: Applications to Arterial Walls

✍ Scribed by J. Schröder; D. Balzani; D. Gross

• Publisher: John Wiley and Sons
• Year: 2005
• Tongue: English
• Weight: 231 KB
• Volume: 36
• Category: Article
• ISSN: 0933-5137
• DOI: 10.1002/mawe.200500965

✦ Synopsis

For treating arterial stenosis, caused by e.g. artherosclerotic plaque, the so-called balloon-dilation (c.f. angioplasty) is employed in most cases. Herein, high internal pressure (3-12 bar) is applied to the infected artery. During this process damage effects are induced in the arterial wall which cause the arterial lumen to remain increased after removing the balloon. Therefore, computer simulations of arterial walls require the material modeling of these damage effects. In this paper the anisotropic damage model introduced in Balzani, Schro ¨der and Gross [3], see also Balzani, Schro ¨der and Gross [4], is extended in order to obtain a damage model providing a referential damage state different from the referential deformation state. This is necessary because the artery is assumed to be undamaged for deformations within the physiological range. In this we consider a numerical example wherein an artery is overstretched in order to give an indication of the performance of the model. For this purpose the proposed damage model is applied to the polyconvex stored energy introduced in Schro ¨der and Neff [14].