Bibliographic Details
| Title: |
Nonconvex Model of Material Growth: Mathematical Theory. |
| Authors: |
Ganghoffer, J. F.1 jean-francois.Ganghoffer@univ-lorraine.fr, Plotnikov, P. I.2,3 plotnikov@hydro.nsc.ru, Sokolowski, J.4,5 Jan.Sokolowski@univ-lorraine.fr |
| Source: |
Archive for Rational Mechanics & Analysis. Dec2018, Vol. 230 Issue 3, p839-910. 72p. |
| Subject Terms: |
*NONCONVEX programming, *MATHEMATICS research, *ELASTICITY, *DEFORMATIONS (Mechanics), *QUASISTATIC processes |
| Abstract: |
The model of volumetric material growth is introduced in the framework of finite elasticity. The new results obtained for the model are presented with complete proofs. The state variables include the deformations, temperature and the growth factor matrix function. The existence of global in time solutions for the quasistatic deformations boundary value problem coupled with the energy balance and the evolution of the growth factor is shown. The mathematical results can be applied to a wide class of growth models in mechanics and biology. [ABSTRACT FROM AUTHOR] |
|
Copyright of Archive for Rational Mechanics & Analysis is the property of Springer Nature and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| Database: |
Academic Search Complete |
