A Systematic Approach to Develop a Family of Theories for Structural Elements
Konferensbidrag (offentliggjort, men ej förlagsutgivet), 2018
A remedy is to develop more advanced approximate theories for structural elements. A standard procedure is to apply various sorts of series expansion techniques together with additional simplifications. In the present formulations, rigorous series expansion approaches based on the governing 3D equations are used. This results in hierarchies of equations for structural elements that may be truncated to any order without using additional approximations. Moreover, these sets of equations are being variationally consistent as well as asymptotically correct. Hence, by using the sets of developed lower order structural element theories, new and more accurate equations based on the 3D equations are derived for various sets of material configurations. In addition, by studying high enough orders new benchmark solutions to 3D problems are obtained.
Chalmers, Mekanik och maritima vetenskaper, Dynamik