Micropolar modeling approach for periodic sandwich beams
Research output: Contribution to journal › Article › Scientific › peer-review
- Texas A and M University
A micropolar Timoshenko beam formulation is developed and used to model web-core sandwich beams. The beam theory is derived by a vector approach and the general solution to the governing sixth-order equations is given. A nodally-exact micropolar Timoshenko beam finite element is derived using the solution. Bending and shear stiffness coefficients for a web-core sandwich beam are determined through unit cell analysis, where the split of the shear forces into symmetric and antisymmetric parts plays a pivotal role. Static bending of web-core beams is studied using the micropolar model as well as modified couple-stress and classical Timoshenko beam models. The micropolar 1-D results are in best agreement with 2-D web-core beam frame results. This is because the micropolar beam allows antisymmetric shear deformation to emerge at locations where the 2-D web-core deformations cannot be reduced to 1-D by considering only symmetric shear behavior.
|Number of pages||9|
|Publication status||Published - 1 Feb 2018|
|MoE publication type||A1 Journal article-refereed|
- Finite element, General solution, Micropolar, Sandwich structures, Timoshenko beam