Progressive failure analysis of structures is still a major challenge. There exist various predictive techniques to tackle this challenge by using both classical (local) and nonlocal theories. Peridynamic (PD) theory (nonlocal) is very suitable for this challenge, but computationally costly with respect to the finite element method. When analyzing complex structures, it is necessary to utilize structural idealizations to make the computations feasible. Therefore, this study presents the PD equations of motions for structural idealizations as beams and plates while accounting for transverse shear deformation. Also, their PD dispersion relations are presented and compared with those of classical theory.
|Number of pages||17|
|Journal||International Journal of Solids and Structures|
|Early online date||10 Jun 2015|
|Publication status||Published - 30 Sep 2015|
- dispersion relationships
- mindlin plate
- Timoshenko beam
- transverse shear deformation
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- Naval Architecture, Ocean And Marine Engineering - Professor