How is it possible to obtain the transverse shear stresses correctly, not constant, by Reissner Mindlin theory?
Equilibrium equation would be the first solution, but, once the second derivatives of bilinear shape functions are zero, no results is appeared.
Thanks in advance for any help!
Yes, it is possible. But you
Yes, it is possible. But you need a theory which does not use apriori constant shear strain assumptions. Please refer to Yu, W.: “Mathematical Construction of a Reissner-Mindlin Plate Theory for Composite Laminates,” International Journal of Solids and Structures, vol. 42, no. 26, 2005, pp. 6680-6699 for more details. The corresponding code will be available on cdmhub.org soon.
In reply to Yes, it is possible. But you by Wenbin Yu
Thank you for your comment.
Thank you for your comment. The paper looks a modified Reissner Mindlin theory with accurate stress calculation. I am really impressed about the work and it should be mathematically difficult. In commercial software, for the FSDT formulation, it is written that the theory of elasticity is employed for this porpuse. It is the same I have expressed by using equilibrium equation to modify the transverse stress distribution, employing the inplane stresses instead of the constant transverse shears. However, I would like to know how to do that?
Moreover, I will follow you website for that code you have mentioned.