Patrício P, Teixeira P I C, Trindade A C, Godinho M H
Instituto Superior de Engenharia de Lisboa, Rua Conselheiro Emídio Navarro 1, P-1950-062 Lisbon, Portugal and Centro de Física Teórica e Computacional da Universidade de Lisboa, Avenida Professor Gama Pinto 2, P-1649-003 Lisbon, Portugal.
Departamento de Ciência dos Materiais and CENIMAT/I3N, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, P-2829-516 Caparica, Portugal.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Jan;89(1):012403. doi: 10.1103/PhysRevE.89.012403. Epub 2014 Jan 7.
We consider a fiber made of a soft elastic material, encased in a stiff elastic shell (core-shell geometry). If the core and shell dimensions are mismatched, e.g., because the core shrinks while the shell does not, but the two remain attached, then an elastic instability is triggered whereby wrinkles may appear on the shell. The wrinkle orientation may be longitudinal (along the fiber axis), polar (along the fiber perimeter), or a mixture of both, depending on the fiber's geometrical and material parameters. Here we investigate under what conditions longitudinal or polar wrinkling will occur.
我们考虑一种由柔软弹性材料制成的纤维,其被包裹在坚硬的弹性壳层中(核壳结构)。如果核与壳的尺寸不匹配,例如,因为核收缩而壳不收缩,但两者仍保持连接,那么就会引发弹性失稳,从而壳层上可能会出现皱纹。皱纹的方向可能是纵向的(沿纤维轴)、极向的(沿纤维周长)或两者的混合,这取决于纤维的几何和材料参数。在此我们研究在何种条件下会出现纵向或极向皱纹。