Exact analytical representation of fiber stress tensor based on angular integration (AI) through cellular level probabilistic equations

Gürsan Çoban; M. Serdar Çelebi

doi:10.1063/1.4912568

Exact analytical representation of fiber stress tensor based on angular integration (AI) through cellular level probabilistic equations

Gürsan Çoban, M. Serdar Çelebi

Bilişim Enstitüsü

Istanbul Technical University

Araştırma sonucu: Kitap/Rapor/Konferans Bildirisinde Bölüm › Konferans katkısı › bilirkişi

1 Atıf (Scopus)

Özet

An analytical representation of the structural stress tensor which describes the fiber dispersion in soft biological tissue has been represented. The mathematical form is computationally efficient compared to the angular integration schemes and it interelates the cellular scale fiber rotation concept with macroscopic deformation of the tissue. It has been shown that, based on well known cellular rotation concepts, the steady state second Piola-Kirschoff stress tensor can be described by a set of structural and remodeling variables, and the current strain tensor.

Orijinal dil	İngilizce
Ana bilgisayar yayını başlığı	Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
Editörler	Theodore E. Simos, Theodore E. Simos, Theodore E. Simos, Charalambos Tsitouras
Yayınlayan	American Institute of Physics Inc.
ISBN (Elektronik)	9780735412873
DOI'lar	https://doi.org/10.1063/1.4912568
Yayın durumu	Yayınlandı - 10 Mar 2015
Etkinlik	International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 - Rhodes, Greece Süre: 22 Eyl 2014 → 28 Eyl 2014

Yayın serisi

Adı	AIP Conference Proceedings
Hacim	1648
ISSN (Basılı)	0094-243X
ISSN (Elektronik)	1551-7616

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???event.eventtypes.event.conference???	International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
Ülke/Bölge	Greece
Şehir	Rhodes
Periyot	22/09/14 → 28/09/14

Bibliyografik not

Publisher Copyright:
© 2015 AIP Publishing LLC.

Belgeye Erişim

10.1063/1.4912568

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

Çoban, G., & Çelebi, M. S. (2015). Exact analytical representation of fiber stress tensor based on angular integration (AI) through cellular level probabilistic equations. In T. E. Simos, T. E. Simos, T. E. Simos, & C. Tsitouras (Eds.), Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 Makale 320002 (AIP Conference Proceedings; Hac. 1648). American Institute of Physics Inc.. https://doi.org/10.1063/1.4912568

Çoban, Gürsan ; Çelebi, M. Serdar. / Exact analytical representation of fiber stress tensor based on angular integration (AI) through cellular level probabilistic equations. Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014. editör / Theodore E. Simos ; Theodore E. Simos ; Theodore E. Simos ; Charalambos Tsitouras. American Institute of Physics Inc., 2015. (AIP Conference Proceedings).

@inproceedings{075a483e2f2f4d71974a353589874291,

title = "Exact analytical representation of fiber stress tensor based on angular integration (AI) through cellular level probabilistic equations",

abstract = "An analytical representation of the structural stress tensor which describes the fiber dispersion in soft biological tissue has been represented. The mathematical form is computationally efficient compared to the angular integration schemes and it interelates the cellular scale fiber rotation concept with macroscopic deformation of the tissue. It has been shown that, based on well known cellular rotation concepts, the steady state second Piola-Kirschoff stress tensor can be described by a set of structural and remodeling variables, and the current strain tensor.",

keywords = "Angular Integration, Fiber Dispersion, Remodeling, Soft Tissue, Strutural Tensor",

author = "G{\"u}rsan {\c C}oban and {\c C}elebi, {M. Serdar}",

note = "Publisher Copyright: {\textcopyright} 2015 AIP Publishing LLC.; International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 ; Conference date: 22-09-2014 Through 28-09-2014",

year = "2015",

month = mar,

day = "10",

doi = "10.1063/1.4912568",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Simos, {Theodore E.} and Simos, {Theodore E.} and Simos, {Theodore E.} and Charalambos Tsitouras",

booktitle = "Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014",

}

Çoban, G & Çelebi, MS 2015, Exact analytical representation of fiber stress tensor based on angular integration (AI) through cellular level probabilistic equations. in TE Simos, TE Simos, TE Simos & C Tsitouras (eds), Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014., 320002, AIP Conference Proceedings, hac. 1648, American Institute of Physics Inc., International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014, Rhodes, Greece, 22/09/14. https://doi.org/10.1063/1.4912568

Exact analytical representation of fiber stress tensor based on angular integration (AI) through cellular level probabilistic equations. / Çoban, Gürsan; Çelebi, M. Serdar.
Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014. ed. / Theodore E. Simos; Theodore E. Simos; Theodore E. Simos; Charalambos Tsitouras. American Institute of Physics Inc., 2015. 320002 (AIP Conference Proceedings; Hac. 1648).

Araştırma sonucu: Kitap/Rapor/Konferans Bildirisinde Bölüm › Konferans katkısı › bilirkişi

TY - GEN

T1 - Exact analytical representation of fiber stress tensor based on angular integration (AI) through cellular level probabilistic equations

AU - Çoban, Gürsan

AU - Çelebi, M. Serdar

PY - 2015/3/10

Y1 - 2015/3/10

N2 - An analytical representation of the structural stress tensor which describes the fiber dispersion in soft biological tissue has been represented. The mathematical form is computationally efficient compared to the angular integration schemes and it interelates the cellular scale fiber rotation concept with macroscopic deformation of the tissue. It has been shown that, based on well known cellular rotation concepts, the steady state second Piola-Kirschoff stress tensor can be described by a set of structural and remodeling variables, and the current strain tensor.

AB - An analytical representation of the structural stress tensor which describes the fiber dispersion in soft biological tissue has been represented. The mathematical form is computationally efficient compared to the angular integration schemes and it interelates the cellular scale fiber rotation concept with macroscopic deformation of the tissue. It has been shown that, based on well known cellular rotation concepts, the steady state second Piola-Kirschoff stress tensor can be described by a set of structural and remodeling variables, and the current strain tensor.

KW - Angular Integration

KW - Fiber Dispersion

KW - Remodeling

KW - Soft Tissue

KW - Strutural Tensor

UR - http://www.scopus.com/inward/record.url?scp=84939649874&partnerID=8YFLogxK

U2 - 10.1063/1.4912568

DO - 10.1063/1.4912568

M3 - Conference contribution

AN - SCOPUS:84939649874

T3 - AIP Conference Proceedings

BT - Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014

A2 - Simos, Theodore E.

A2 - Tsitouras, Charalambos

PB - American Institute of Physics Inc.

T2 - International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014

Y2 - 22 September 2014 through 28 September 2014

ER -

Çoban G, Çelebi MS. Exact analytical representation of fiber stress tensor based on angular integration (AI) through cellular level probabilistic equations. In Simos TE, Simos TE, Simos TE, Tsitouras C, editörler, Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014. American Institute of Physics Inc. 2015. 320002. (AIP Conference Proceedings). doi: 10.1063/1.4912568

Exact analytical representation of fiber stress tensor based on angular integration (AI) through cellular level probabilistic equations

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