A general framework for application of prestrain to computational models of biological materials

被引:45
|
作者
Maas, Steve A. [1 ,2 ]
Erdemir, Ahmet [3 ,4 ]
Halloran, Jason P. [5 ]
Weiss, Jeffrey A. [1 ,2 ]
机构
[1] Univ Utah, Dept Bioengn, 72 South Cent Campus Dr,Rm 2646, Salt Lake City, UT 84112 USA
[2] Univ Utah, Sci Comp & Imaging Inst, Salt Lake City, UT USA
[3] Cleveland Clin, Lerner Res Inst, Computat Biomodeling CoBi Core, Cleveland, OH 44106 USA
[4] Cleveland Clin, Lerner Res Inst, Dept Biomed Engn, Cleveland, OH 44106 USA
[5] Cleveland State Univ, Dept Mech, Cleveland, OH 44115 USA
关键词
Residual stress; In situ stress; Prestress; Finite element modeling; Inverse analysis; FEBio; MEDIAL COLLATERAL LIGAMENT; FINITE-ELEMENT SIMULATIONS; RESIDUAL-STRESSES; LEFT-VENTRICLE; STRAIN; CONFIGURATION; ARTERIES;
D O I
10.1016/j.jmbbm.2016.04.012
中图分类号
R318 [生物医学工程];
学科分类号
0831 ;
摘要
It is often important to include prestress in computational models of biological tissues. The prestress can represent residual stresses (stresses that exist after the tissue is excised from the body) or in situ stresses (stresses that exist in vivo, in the absence of loading). A prestressed reference configuration may also be needed when modeling the reference geometry of biological tissues in vivo. This research developed a general framework for representing prestress in finite element models of biological materials. It is assumed that the material is elastic, allowing the prestress to be represented via a prestrain. For prestrain fields that are not compatible with the reference geometry, the computational framework provides an iterative algorithm for updating the prestrain until equilibrium is satisfied. The iterative framework allows for enforcement of two different constraints: elimination of distortion in order to address the incompatibility issue, and enforcing a specified in situ fiber strain field while allowing for distortion. The framework was implemented as a plugin in FEBio (www.febio.org), making it easy to maintain the software and to extend the framework if needed. Several examples illustrate the application and effectiveness of the approach, including the application of in situ strains to ligaments in the Open Knee model (simtk.org/home/openknee). A novel method for recovering the stress free configuration from the prestrain deformation gradient is also presented. This general purpose theoretical and computational framework for applying prestrain will allow analysts to overcome the challenges in modeling this important aspect of biological tissue mechanics. (C) 2016 Published by Elsevier Ltd.
引用
收藏
页码:499 / 510
页数:12
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