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A projection method to extract biological membrane models from 3D material models.

Abstract：

:This paper presents a projection method for deriving membrane models from the corresponding three-dimensional material models. As a particular example the anisotropic Holzapfel-Gasser-Ogden model is considered. The projection procedure is based on the kinematical and constitutive assumptions of a general membrane theory, considering the membrane to be a general two-dimensional manifold. By assuming zero transverse stress, the Lagrange multiplier associated with the incompressibility constraint can be eliminated from the formulation. The resulting nonlinear model is discretized and linearized within the finite element method. Several numerical examples are shown, considering quadratic Lagrange and NURBS finite elements. These show that the proposed model is in very good agreement with analytical solutions and with full 3D finite element computations.

journal_name

J Mech Behav Biomed Mater

journal_title

Journal of the mechanical behavior of biomedical materials

authors

Roohbakhshan F,Duong TX,Sauer RA

doi

10.1016/j.jmbbm.2015.09.001

subject

Has Abstract

pub_date

2016-05-01 00:00:00

pages

90-104

eissn

1751-6161

issn

1878-0180

pii

S1751-6161(15)00328-8

journal_volume

58

pub_type

杂志文章

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