کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
441116 691373 2016 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Biomechanics simulations using cubic Hermite meshes with extraordinary nodes for isogeometric cardiac modeling
ترجمه فارسی عنوان
شبیه سازی بیومکانیک با استفاده از شبکه های مکعب هرمیت با گره های فوق العاده برای مدل سازی قلب ایزوهندسی
کلمات کلیدی
گره های فوق العاده؛ تجزیه و تحلیل المان محدود؛ عناصر شش گوش مکعب هرمیت ؛ مدل سازی قلب؛ تجزیه و تحلیل ایزوهندسی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر گرافیک کامپیوتری و طراحی به کمک کامپیوتر
چکیده انگلیسی

Cubic Hermite hexahedral finite element meshes have some well-known advantages over linear tetrahedral finite element meshes in biomechanical and anatomic modeling using isogeometric analysis. These include faster convergence rates as well as the ability to easily model rule-based anatomic features such as cardiac fiber directions. However, it is not possible to create closed complex objects with only regular nodes; these objects require the presence of extraordinary nodes (nodes with 3 or >=5>=5 adjacent elements in 2D) in the mesh. The presence of extraordinary nodes requires new constraints on the derivatives of adjacent elements to maintain continuity. We have developed a new method that uses an ensemble coordinate frame at the nodes and a local-to-global mapping to maintain continuity. In this paper, we make use of this mapping to create cubic Hermite models of the human ventricles and a four-chamber heart. We also extend the methods to the finite element equations to perform biomechanics simulations using these meshes. The new methods are validated using simple test models and applied to anatomically accurate ventricular meshes with valve annuli to simulate complete cardiac cycle simulations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Aided Geometric Design - Volume 43, March 2016, Pages 27–38
نویسندگان
, , , , ,