A simple mathematical model of microtubules surrounded by an elastic matrix by nonlocal finite element method

作者：

Highlights：

• A size dependent finite element model is developed.

• Nonlocal elasticity theory is used.

• Finite element solution is presented for buckling of microtubules.

• The effect of elastic matrix surrounded by microtubules is modeled.

摘要

•A size dependent finite element model is developed.•Nonlocal elasticity theory is used.•Finite element solution is presented for buckling of microtubules.•The effect of elastic matrix surrounded by microtubules is modeled.

论文关键词：Mathematical modeling,Finite element method,Buckling,Micro-structures,Continuum model

论文评审过程：Received 28 July 2015, Revised 9 May 2016, Accepted 16 May 2016, Available online 31 May 2016, Version of Record 31 May 2016.

论文官网地址：https://doi.org/10.1016/j.amc.2016.05.034