Xfem and efg cohesive fracture analysis for brittle and semi. In the modeling of cohesive fracture with the finite element method, two main strategies may be found in the literature. Mixedmode dynamic crack propagation in concrete is studied using the elementfree galerkin efg method. The wellknown finite element method fem, widely used in several engineering and scientific fields, despite its simplicity presents some shortcomings such as. Fracture and crack growth by element free galerkin methods t belytschko, l gu and y y lu departments of civil and mechanical engineering.
The method is based on the use of moving leastsquares interpolants with a galerkin method, and it provides highly accurate solutions for elliptic problems. Galerkin efg method, a meshfree method, has been successful in modelling static and. Extended finite element method for threedimensional crack modelling. Keywords extended element free galerkin method xefg. A coupled finite elementelementfree galerkin method. Element free galerkin methods efg are gridless methods for solving partial differential equations which employ moving least square interpolants for the trial and test functions. For example, the crack initiation and propagation are affected by the presence of flaws. Cohesive crack tip element xfem fracture mechanics finite. Results are presented for both elastostatic and elastodynamic problems, including a problem with crack growth. A finite element model to predict wellbore fracture pressure. For instance element free galerkin method, consistent mesh less method have been proposed. The method is based on moving least squares approximant. For the crack tip the enrichment functions originally introduced by fleming 4 for use in the element free galerkin method.
Mixedmode fracture of orthotropic functionally graded materials using the finite element method article in engineering fracture mechanics 691416. Cohesive crack tip element xfem fracture mechanics. Analysis of thin plates by the elementfree galerkin method. A generalized finite element method for the simulation of. A meshless approach to the analysis of arbitrary kirchhoff plates by the elementfree galerkin efg method is presented. Besides, they have testified that the fem was suitable for modelling and analyzing crack domain primary factors.
Ms012 discrete finite element method and its applications. Rajesh and rao 2010 presented a coupling technique for integrating the elementfree galerkin method with the finite element method to analyze homogeneous, anisotropic and. Elementfree galerkin methods for dynamic fracture in. Elementfree galerkin methods for fracture of functionallygraded materials p. A fracture process zone fpz model is used for fracture in concrete.
The satisfaction of the c 1 continuity requirements are easily met by efg since it. Element free galerkin methods for fracture of functionallygraded materials p. Roben r mccormick school of engineering and applied science, the technological institute, northwestern university, evanston, u 602083109, usa received 4 november 1993. Ms047 fatigue cracking modeling and numerical simulation. In the present work, we aim to address the issues related to the need of finer mesh near the crack path and accuracy of the solution. Efg methods require only nodes and a description of the external and internal boundaries and interfaces of the model. Preprint submitted to engineering fracture mechanics. A mixed cover meshless method for elasticity and fracture problems. Numerical implementation of the extended finite element method.
A coupled meshlessfinite element method for fracture. The semicircular specimen under threepoint bending scb has been widely used to investigate mode i, mode ii, and mixed mode iii fracture behavior in brittle rocks. Cohesive crack tip element xfem free download as pdf file. Therefore, we use a mesh free natural neighbor galerkin method for phase field modeling of the fracture problems. Elementfree galerkin methods for fracture of functionally. Apr 21, 2015 the semicircular specimen under threepoint bending scb has been widely used to investigate mode i, mode ii, and mixed mode iii fracture behavior in brittle rocks. Extended finite element method for cohesive crack growth. Jul 21, 2018 the heaviside function takes a value of 1 above the crack and 1 below the crack, thus putting a displacement discontinuity across the body of the crack in elements whose support is cut by the crack. Journal, theoretical and applied fracture mechanics. The heaviside function takes a value of 1 above the crack and 1 below the crack, thus putting a displacement discontinuity across the body of the crack in elements whose support is cut by the crack. Dynamic drape simulation by solidshell element and rotationfree triangle. The satisfaction of the c 1 continuity requirements.
Fracture and crack growth by element free galerkin methods. The implementation of the efg method for problems of fracture and static crack growth is described. Mixedmode fracture of orthotropic functionally graded. A finite element model to predict wellbore fracture. The method is meshless, which means that the discretization is independent of the geometric subdivision into finite elements. A three dimensional meshfree method for continuous multiplecrack. A procedure is developed for coupling meshless methods such as the elementfree galerkin method with finite element methods.