Details
| Original language | English |
|---|---|
| Pages (from-to) | 45-61 |
| Number of pages | 17 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 132 |
| Issue number | 1-2 |
| Publication status | Published - 15 May 1996 |
| Externally published | Yes |
Abstract
This paper presents a general formulation of thin incompressible membranes and investigates the behavior of soft biotissues using the finite element method. In particular the underlying hyperelastic model is chosen to examine the highly non-linear constitutive relation of blood vessels which are considered to be perfectly elastic, homogeneous and (nearly) incompressible. First, the stress-deformation relation and the elastic tangent moduli are derived in a very general material setting which is subsequently specified for blood vessels in terms of Green-Lagrangian strains. Based on the principle of virtual work the finite element equations are provided and briefly discussed. Consistent linearization of the weak form of equilibrium and the external pressure term ensures a quadratic convergence rate of the iterative solution procedure. On the computational side of this work an effort was undertaken to show a novel approach on the investigation of soft tissue biomechanics. Representative numerical analyses of problems in vascular mechanics are discussed that show isochoric finite deformations (large rotations and large strains). In particular, a numerical simulation of the interaction between an inflated balloon catheter and a plaque deposit on the wall of a blood vessel is presented.
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 132, No. 1-2, 15.05.1996, p. 45-61.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Large strain analysis of soft biological membranes
T2 - Formulation and finite element analysis
AU - Holzapfel, Gerhard A.
AU - Eberlein, Robert
AU - Wriggers, Peter
AU - Weizsäcker, Hans W.
N1 - Funding information: Support for this researchw as partly provided by the Austrian Fonds zur ‘Forderung der wissenschaft-lichen Forschung (FWF)’ under Grants No. J0721-TEC and J0962-TEC to G.A.H. and by the ‘DeutscheF orschungsgesellscha(fDt FG)’ with Project No. Wr 19/7-l to R.E. This support is gratefully acknowledged.W e also thank Dr. Thomas D. Kampp from the University of Southern California-School of Medicine, Los Angeles, to fit the experimentald ata of the blood vessel.
PY - 1996/5/15
Y1 - 1996/5/15
N2 - This paper presents a general formulation of thin incompressible membranes and investigates the behavior of soft biotissues using the finite element method. In particular the underlying hyperelastic model is chosen to examine the highly non-linear constitutive relation of blood vessels which are considered to be perfectly elastic, homogeneous and (nearly) incompressible. First, the stress-deformation relation and the elastic tangent moduli are derived in a very general material setting which is subsequently specified for blood vessels in terms of Green-Lagrangian strains. Based on the principle of virtual work the finite element equations are provided and briefly discussed. Consistent linearization of the weak form of equilibrium and the external pressure term ensures a quadratic convergence rate of the iterative solution procedure. On the computational side of this work an effort was undertaken to show a novel approach on the investigation of soft tissue biomechanics. Representative numerical analyses of problems in vascular mechanics are discussed that show isochoric finite deformations (large rotations and large strains). In particular, a numerical simulation of the interaction between an inflated balloon catheter and a plaque deposit on the wall of a blood vessel is presented.
AB - This paper presents a general formulation of thin incompressible membranes and investigates the behavior of soft biotissues using the finite element method. In particular the underlying hyperelastic model is chosen to examine the highly non-linear constitutive relation of blood vessels which are considered to be perfectly elastic, homogeneous and (nearly) incompressible. First, the stress-deformation relation and the elastic tangent moduli are derived in a very general material setting which is subsequently specified for blood vessels in terms of Green-Lagrangian strains. Based on the principle of virtual work the finite element equations are provided and briefly discussed. Consistent linearization of the weak form of equilibrium and the external pressure term ensures a quadratic convergence rate of the iterative solution procedure. On the computational side of this work an effort was undertaken to show a novel approach on the investigation of soft tissue biomechanics. Representative numerical analyses of problems in vascular mechanics are discussed that show isochoric finite deformations (large rotations and large strains). In particular, a numerical simulation of the interaction between an inflated balloon catheter and a plaque deposit on the wall of a blood vessel is presented.
UR - http://www.scopus.com/inward/record.url?scp=0030148461&partnerID=8YFLogxK
U2 - 10.1016/0045-7825(96)00999-1
DO - 10.1016/0045-7825(96)00999-1
M3 - Article
AN - SCOPUS:0030148461
VL - 132
SP - 45
EP - 61
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
IS - 1-2
ER -