A Numerical Implementation to Predict Residual Strains from the
Homogeneous Stress Hypothesis with Application to Abdominal
Aortic Aneurysms

J 2013

A Numerical Implementation to Predict Residual Strains from the Homogeneous Stress Hypothesis with Application to Abdominal Aortic Aneurysms

POLZER, Stanislav; Jiri BURSA; T Christian GASSER; Robert STAFFA; Robert VLACHOVSKÝ et al.

Základní údaje

Originální název

A Numerical Implementation to Predict Residual Strains from the Homogeneous Stress Hypothesis with Application to Abdominal Aortic Aneurysms

Autoři

POLZER, Stanislav; Jiri BURSA; T Christian GASSER; Robert STAFFA a Robert VLACHOVSKÝ

Vydání

ANNALS OF BIOMEDICAL ENGINEERING, NEW YORK, SPRINGER, 2013, 0090-6964

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

30000 3. Medical and Health Sciences

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Impakt faktor

Impact factor: 3.231

Označené pro přenos do RIV

Ano

Kód RIV

RIV/00216224:14110/13:00070192

Organizační jednotka

Lékařská fakulta

DOI

https://doi.org/10.1007/s10439-013-0749-y

UT WoS

000320329200015

Klíčová slova anglicky

Residual stress; Abdominal aortic aneurysm; Finite element analysis; Patient-specific geometry

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 20. 11. 2013 14:23, Soňa Böhmová

Anotace

V originále

Wall stress analysis of abdominal aortic aneurysm (AAA) is a promising method of identifying AAAs at high risk of rupture. However, neglecting residual strains (RS) in the load-free configuration of patient-specific finite element analysis models is a sever limitation that strongly affects the computed wall stresses. Although several methods for including RS have been proposed, they cannot be directly applied to patient-specific AAA simulations. RS in the AAA wall are predicted through volumetric tissue growth that aims at satisfying the homogeneous stress hypothesis at mean arterial pressure load. Tissue growth is interpolated linearly across the wall thickness and aneurysm tissues are described by isotropic constitutive formulations. The total deformation is multiplicatively split into elastic and growth contributions, and a staggered schema is used to solve the field variables. The algorithm is validated qualitatively at a cylindrical artery model and then applied to patient-specific AAAs (n = 5). The induced RS state is fully three-dimensional and in qualitative agreement with experimental observations, i.e., wall strips that were excised from the load-free wall showed stress-releasing-deformations that are typically seen in laboratory experiments. Compared to RS-free simulations, the proposed algorithm reduced the von Mises stress gradient across the wall by a tenfold. Accounting for RS leads to homogenized wall stresses, which apart from reducing the peak wall stress (PWS) also shifted its location in some cases. The present study demonstrated that the homogeneous stress hypothesis can be effectively used to predict RS in the load-free configuration of the vascular wall. The proposed algorithm leads to a fast and robust prediction of RS, which is fully capable for a patient-specific AAA rupture risk assessment. Neglecting RS leads to non-realistic wall stress values that severely overestimate the PWS.

Přiložené soubory

A_Numerical_Implementation.pdf

Požádat o autorskou verzi souboru

Citovat

POLZER, Stanislav; Jiri BURSA; T Christian GASSER; Robert STAFFA a Robert VLACHOVSKÝ. A Numerical Implementation to Predict Residual Strains from the Homogeneous Stress Hypothesis with Application to Abdominal Aortic Aneurysms. ANNALS OF BIOMEDICAL ENGINEERING. NEW YORK: SPRINGER, 2013, roč. 41, č. 7, s. 1516-1527. ISSN 0090-6964. Dostupné z: https://doi.org/10.1007/s10439-013-0749-y.

@article{1130153,
   author = {Polzer, Stanislav and Bursa, Jiri and Gasser, T Christian and Staffa, Robert and Vlachovský, Robert},
   article_location = {NEW YORK},
   article_number = {7},
   doi = {https://doi.org/10.1007/s10439-013-0749-y},
   keywords = {Residual stress; Abdominal aortic aneurysm; Finite element analysis; Patient-specific geometry},
   language = {eng},
   issn = {0090-6964},
   journal = {ANNALS OF BIOMEDICAL ENGINEERING},
   title = {A Numerical Implementation to Predict Residual Strains from the Homogeneous Stress Hypothesis with Application to Abdominal Aortic Aneurysms},
   volume = {41},
   year = {2013}
}

TY  - JOUR
ID  - 1130153
AU  - Polzer, Stanislav - Bursa, Jiri - Gasser, T Christian - Staffa, Robert - Vlachovský, Robert
PY  - 2013
TI  - A Numerical Implementation to Predict Residual Strains from the Homogeneous Stress Hypothesis with Application to Abdominal Aortic Aneurysms
JF  - ANNALS OF BIOMEDICAL ENGINEERING
VL  - 41
IS  - 7
SP  - 1516-1527
EP  - 1516-1527
PB  - SPRINGER
SN  - 00906964
KW  - Residual stress
KW  - Abdominal aortic aneurysm
KW  - Finite element analysis
KW  - Patient-specific geometry
N2  - Wall stress analysis of abdominal aortic aneurysm (AAA) is a promising method of identifying AAAs at high risk of rupture. However, neglecting residual strains (RS) in the load-free configuration of patient-specific finite element analysis models is a sever limitation that strongly affects the computed wall stresses. Although several methods for including RS have been proposed, they cannot be directly applied to patient-specific AAA simulations. RS in the AAA wall are predicted through volumetric tissue growth that aims at satisfying the homogeneous stress hypothesis at mean arterial pressure load. Tissue growth is interpolated linearly across the wall thickness and aneurysm tissues are described by isotropic constitutive formulations. The total deformation is multiplicatively split into elastic and growth contributions, and a staggered schema is used to solve the field variables. The algorithm is validated qualitatively at a cylindrical artery model and then applied to patient-specific AAAs (n = 5). The induced RS state is fully three-dimensional and in qualitative agreement with experimental observations, i.e., wall strips that were excised from the load-free wall showed stress-releasing-deformations that are typically seen in laboratory experiments. Compared to RS-free simulations, the proposed algorithm reduced the von Mises stress gradient across the wall by a tenfold. Accounting for RS leads to homogenized wall stresses, which apart from reducing the peak wall stress (PWS) also shifted its location in some cases. The present study demonstrated that the homogeneous stress hypothesis can be effectively used to predict RS in the load-free configuration of the vascular wall. The proposed algorithm leads to a fast and robust prediction of RS, which is fully capable for a patient-specific AAA rupture risk assessment. Neglecting RS leads to non-realistic wall stress values that severely overestimate the PWS.
ER  -

POLZER, Stanislav; Jiri BURSA; T Christian GASSER; Robert STAFFA a Robert VLACHOVSKÝ. A Numerical Implementation to Predict Residual Strains from the Homogeneous Stress Hypothesis with Application to Abdominal Aortic Aneurysms. \textit{ANNALS OF BIOMEDICAL ENGINEERING}. NEW YORK: SPRINGER, 2013, roč.~41, č.~7, s.~1516-1527. ISSN~0090-6964. Dostupné z: https://doi.org/10.1007/s10439-013-0749-y.

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