Global solvability of the regularized problem of growing hyperelastic materials

Standard

Global solvability of the regularized problem of growing hyperelastic materials. / Beskrovnykh, A. V.

In: Journal of Applied and Industrial Mathematics, Vol. 11, No. 3, 01.07.2017, p. 312-324.

Research output: Contribution to journal › Article › peer-review

Harvard

Beskrovnykh, AV 2017, 'Global solvability of the regularized problem of growing hyperelastic materials', Journal of Applied and Industrial Mathematics, vol. 11, no. 3, pp. 312-324. https://doi.org/10.1134/S1990478917030024

APA

Beskrovnykh, A. V. (2017). Global solvability of the regularized problem of growing hyperelastic materials. Journal of Applied and Industrial Mathematics, 11(3), 312-324. https://doi.org/10.1134/S1990478917030024

Vancouver

Beskrovnykh AV. Global solvability of the regularized problem of growing hyperelastic materials. Journal of Applied and Industrial Mathematics. 2017 Jul 1;11(3):312-324. doi: 10.1134/S1990478917030024

Author

Beskrovnykh, A. V. / Global solvability of the regularized problem of growing hyperelastic materials. In: Journal of Applied and Industrial Mathematics. 2017 ; Vol. 11, No. 3. pp. 312-324.

BibTeX

@article{973df58944634cb1b47ec924bcffc88c,

title = "Global solvability of the regularized problem of growing hyperelastic materials",

abstract = "We introduce a model of volumetric growth of biological materials which is based on the theory of finite elastic deformations. Surface effects at the boundary of the growing material are taken into account. Some newmathematical results for the model are obtained, and most significant among them is the existence of a global solution. The proof of this is presented in complete form. These results can be useful in further scientific developments at the confluence of biology and mechanics.",

keywords = "existence of global solutions, volumetric growth",

author = "Beskrovnykh, {A. V.}",

note = "Publisher Copyright: {\textcopyright} 2017, Pleiades Publishing, Ltd.",

year = "2017",

month = jul,

day = "1",

doi = "10.1134/S1990478917030024",

language = "English",

volume = "11",

pages = "312--324",

journal = "Journal of Applied and Industrial Mathematics",

issn = "1990-4789",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "3",

}

RIS

TY - JOUR

T1 - Global solvability of the regularized problem of growing hyperelastic materials

AU - Beskrovnykh, A. V.

PY - 2017/7/1

Y1 - 2017/7/1

N2 - We introduce a model of volumetric growth of biological materials which is based on the theory of finite elastic deformations. Surface effects at the boundary of the growing material are taken into account. Some newmathematical results for the model are obtained, and most significant among them is the existence of a global solution. The proof of this is presented in complete form. These results can be useful in further scientific developments at the confluence of biology and mechanics.

AB - We introduce a model of volumetric growth of biological materials which is based on the theory of finite elastic deformations. Surface effects at the boundary of the growing material are taken into account. Some newmathematical results for the model are obtained, and most significant among them is the existence of a global solution. The proof of this is presented in complete form. These results can be useful in further scientific developments at the confluence of biology and mechanics.

KW - existence of global solutions

KW - volumetric growth

UR - http://www.scopus.com/inward/record.url?scp=85028571650&partnerID=8YFLogxK

U2 - 10.1134/S1990478917030024

DO - 10.1134/S1990478917030024

M3 - Article

AN - SCOPUS:85028571650

VL - 11

SP - 312

EP - 324

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 3

ER -

ID: 9916858