Peridynamics for bending of beams and plates with transverse shear deformation. (September 2015)

• Record Type: Journal Article
• Authors: Diyaroglu, C.; Oterkus, E.; Oterkus, S.; Madenci, E.
• Is Part Of: International journal of solids and structures. Volume 69/70(2015)
• Page Start: 152
• Page End: 168
• Publication Date: 2015-09
• Subjects: Peridynamics -- Timoshenko beam -- Mindlin plate -- Transverse shear deformation -- Dispersion relationships; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2015.04.040
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: 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.