Abstract
Several soft biological tissues and artificial materials are characterised by a mechanical behaviour described by two-dimensional structural systems sustaining in-plane forces. Within the framework of finite strain elasticity, in this paper the formulation and finite element implementation of a hyperelastic incompressible membrane is presented. Focus is placed on the behaviour of membranes presenting holes and internal cuts. A new efficient algorithm is presented to describe topologically complex internal boundaries along which dislocation-like distributions are prescribed, so as to allow a one-to-one progressive joining of boundary material points. The classical Ogden's model is modified into a relaxed version in order to accommodate the no-compression response of thin membranes due to wrinkling. Three applicative examples are presented to illustrate the potential of the method proposed.
Original language | English |
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Article number | 106816 |
Journal | International Journal of Mechanical Sciences |
Volume | 212 |
DOIs | |
Publication status | Published - 15 Dec 2021 |
Keywords
- Dislocation
- Hyperelasticity
- Internal boundary condition
- Membrane
- Wrinkling
- Z-plasty
ASJC Scopus subject areas
- Civil and Structural Engineering
- Materials Science(all)
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering