A novel finite element analysis of three-dimensional circular crack

2018 International Conference on Material Strength and Applied Mechanics

材料科学;力学

Ping, X.C.^1,2 ; Wang, C.G.^1 ; Cheng, L.P.^1

School of Mechanical Engineering, Tianjin University of Science and Technology, China^1

School of Mechanical Engineering, East China Jiaotong University, China^2

关键词: Analytical method;    Calculation accuracy;    Complicated structures;    Fracture problems;    Numerical series;    Singular elements;    Singular stress field;    Variational principles;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/372/1/012029/pdf
DOI  :  10.1088/1757-899X/372/1/012029

来源: IOP

【 摘 要 】

A novel singular element containing a part of the circular crack front is established to solve the singular stress fields of circular cracks by using the numerical series eigensolutions of singular stress fields. The element is derived from the Hellinger-Reissner variational principle and can be directly incorporated into existing 3D brick elements. The singular stress fields are determined as the system unknowns appearing as displacement nodal values. The numerical studies are conducted to demonstrate the simplicity of the proposed technique in handling fracture problems of circular cracks. The usage of the novel singular element can avoid mesh refinement near the crack front domain without loss of calculation accuracy and velocity of convergence. Compared with the conventional finite element methods and existing analytical methods, the present method is more suitable for dealing with complicated structures with a large number of elements.