Modelování poddajných materiálů vyztužených vlákny
| Thesis title in Czech: | Modelování poddajných materiálů vyztužených vlákny |
|---|---|
| Thesis title in English: | Modelling of soft fiber-reinforced materials |
| Key words: | pružnost|vlákna |
| English key words: | elasticity|fibers |
| Academic year of topic announcement: | 2020/2021 |
| Thesis type: | diploma thesis |
| Thesis language: | |
| Department: | Mathematical Institute of Charles University (32-MUUK) |
| Supervisor: | prof. RNDr. Martin Kružík, Ph.D., DSc. |
| Author: | hidden - assigned by the advisor, waiting for guarantor's approval |
| Date of registration: | 15.03.2021 |
| Date of assignment: | 15.03.2021 |
| Guidelines |
| Soft fiber-reinforced materials are omnipresent in nature, including biological tissues. Moreover, there is increasing interest in such materials in the industry for applications in, e.g., soft robotics. However, often, the bending stiffness of the fibers is neglected in the constitutive models.
Therefore, the aim of this diploma thesis will be to proof the regularizing effect of the bending energy leading to the existence of a solution implement model of material with bending stiffness of fibers and compare it to a model without the bending effect study the influence of bending energy on the onset of bifurcation such as wrinkles using the theory of incremental deformations. The coadvisor will be Dr. M. Horák, Fac. Civil Engrg. CTU. |
| References |
| V. Slesarenko, S. Rudykh: Microscopic and macroscopic instabilities in hyperelastic fiber
composites.Journal of the Mechanics and Physics of Solids 99 (2017), 471-482. A.J.M. Spencer, K.P. Soldatos: Finite deformations of fibre-reinforced elastic solids with fibre bending stiffness. International Journal of Non-Linear Mechanics 42 (2007) 355 – 368. |