Capillarity-induced mechanical behaviors of a polymer microtube surrounded by a droplet

Abstract

The capillary force of a liquid drop has a great impact on the mechanical behaviors of a polymer microtube. To further explore this capillary effect, we examine the buckling condition and finite deformation of a hollow microfiber surrounded by a droplet. The Eulerian rod model and thin-walled shell model are both adopted to predict the critical value of the capillary force acting on the microfiber. According to the Mooney-Rivlin model, we calculate the true axial stress of the microtube under the combined action of surface tension and Laplace pressure. The numerical results show that the value of the true axial stress is closely related to the Young’s contact angle, droplet volume and characteristic sizes of the microtube. Our findings address that proper control over surface wettability may improve the performance optimization of micro-devices, and these analyses may produce ideas in the areas of nanofabrication, electrospinning and tissue engineering.