On the performance of GFEM with trigonometric enrichment in bidimensional dynamic elastoplastic modelling
Abstract In this work, an investigation is carried out concerning the performance of proposed enriched quadrilateral C0 element, developed by Generalized Finite Element Method, in dynamic elastoplastic models. The enriched quadrilateral C0 element is formulated by considering conventional shape function as global PU basis and trigonometric functions as the local basis. The enriched mesh distortion sensitivity is investigated in an elastodynamic problem. Other numerical aspects are also investigated in several benchmark analyses, involving stress concentration effect. The condition numbers of the stiffness and the consistent mass matrices are calculated for each enrichment level in different situations, and the error in norm L2 is calculated for displacement and stress. The results are compared with other numerical formulations encountered in the literature. Several numerical aspects of enriched quadrilateral C0 element formulated by GFEM are discussed and observed in the applications, and it performs competitiveness in comparison to other numerical formulations.