Singh, S. K., Banerjee, A., Varma, R. K., Adhikari, S. and Das, S. (2022) Static and dynamic analysis of homogeneous Micropolar-Cosserat panels. Mechanics of Advanced Materials and Structures, 29(19), pp. 2757-2768. (doi: 10.1080/15376494.2021.1877377)
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Abstract
This paper communicates an analytical study on computing the natural frequencies and in-plane deflections caused by static forces in the panel walls using Euler-Bernoulli, Timoshenko, Timoshenko and Goodier, Couple-stress, and Micropolar-Cosserat theory. The study highlights the formulation of the transfer matrix via the state-space method in the spatial domain; from coupled governing equations of motion that arises from the Micropolar-Cosserat theory. This theory captures the novel curvature of edges and moments of the panels at energy density level due to its unique feature of asymmetric shear stresses; that emphasizes the loss of ellipticity of governing equations. The analytical solution of the Micropolar-Cosserat theory yield appropriate results compared to plane-stress simulation of the panels using finite element analysis.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Adhikari, Professor Sondipon |
| Authors: | Singh, S. K., Banerjee, A., Varma, R. K., Adhikari, S., and Das, S. |
| College/School: | College of Science and Engineering > School of Engineering > Infrastructure and Environment |
| Journal Name: | Mechanics of Advanced Materials and Structures |
| Publisher: | Taylor & Francis |
| ISSN: | 1537-6494 |
| ISSN (Online): | 1537-6532 |
| Published Online: | 09 February 2021 |
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