Dynamic Fracture of Shells Subjected to Impulsive Loads

2009 ◽  
Vol 76 (5) ◽  
Author(s):  
Jeong-Hoon Song ◽  
Ted Belytschko
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Shell Element ◽  
Integration Scheme ◽  
Quasibrittle Fracture ◽  
Extended Finite Element ◽  
Impulsive Loads ◽  
Point Integration ◽  
High Computational Efficiency ◽  
Element Method

A finite element method for the simulation of dynamic cracks in thin shells and its applications to quasibrittle fracture problem are presented. Discontinuities in the translational and angular velocity fields are introduced to model cracks by the extended finite element method. The proposed method is implemented for the Belytschko–Lin–Tsay shell element, which has high computational efficiency because of its use of a one-point integration scheme. Comparisons with elastoplastic crack propagation experiments involving quasibrittle fracture show that the method is able to reproduce experimental fracture patterns quite well.

scholarly journals Explicit Dynamic Finite Element Method for Predicting Implosion/Explosion Induced Failure of Shell Structures

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Jeong-Hoon Song ◽  
Patrick Lea ◽  
Jay Oswald
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Shell Element ◽  
Extended Finite Element ◽  
Shell Elements ◽  
Dynamic Finite Element ◽  
Impulsive Loads ◽  
Discontinuous Displacement ◽  
Explicit Dynamic ◽  
Element Method

A simplified implementation of the conventional extended finite element method (XFEM) for dynamic fracture in thin shells is presented. Though this implementation uses the same linear combination of the conventional XFEM, it allows for considerable simplifications of the discontinuous displacement and velocity fields in shell finite elements. The proposed method is implemented for the discrete Kirchhoff triangular (DKT) shell element, which is one of the most popular shell elements in engineering analysis. Numerical examples for dynamic failure of shells under impulsive loads including implosion and explosion are presented to demonstrate the effectiveness and robustness of the method.

An Integration Scheme of Extended Finite Element Method

2011 ◽  
Vol 148-149 ◽  
pp. 286-290
Author(s):  
Lin Sheng Li ◽  
Chang Jun Qiu ◽  
Lan Li
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Integral Domain ◽  
Extended Finite Element Method ◽  
Triangular Mesh ◽  
Integration Scheme ◽  
Extended Finite Element ◽  
Gaussian Integration ◽  
Integral Scheme ◽  
Element Method

A simple integration scheme is presented for numerical integration in the extended finite element method(XFEM). In this scheme, the integral domain of common triangular mesh is converted to that of standard triangular mesh and the integral domain of standard triangular mesh is converted to that of quadrilateral mesh. By this transformation of integral domain, the strength intensity factors for straight crack are worked out. Finally, the accuracy of this method is analyzed by a typical example. It is concluded that the results obtained by new integral scheme are more accurate and simple than common Gaussian integration scheme.

scholarly journals A mesh-independent framework for crack tracking in elastodamaging materials through the regularized extended finite element method

2021 ◽  
Author(s):  
Elena Benvenuti ◽  
Nicola Orlando
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Damage Evolution ◽  
Extended Finite Element Method ◽  
Mesh Adaptivity ◽  
Extended Finite Element ◽  
Evolution Law ◽  
Crack Paths ◽  
Original Crack ◽  
Element Method

AbstractWe propose a formulation for tracking general crack paths in elastodamaging materials without mesh adaptivity and broadening of the damage band. The idea is to treat in a unified way both the damaging process and the development of displacement discontinuities by means of the regularized finite element method. With respect to previous authors’ contributions, a novel damage evolution law and an original crack tracking framework are proposed. We face the issue of mesh objectivity through several two-dimensional tests, obtaining smooth crack paths and reliable structural results.

scholarly journals An Extended Finite Element Method (XFEM) Study on the Elastic T-Stress Evaluations for a Notch in a Pipe Steel Exposed to Internal Pressure

Mathematics ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 507
Author(s):  
K. Yakoubi ◽  
S. Montassir ◽  
Hassane Moustabchir ◽  
A. Elkhalfi ◽  
Catalin Iulian Pruncu ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Internal Pressure ◽  
Extended Finite Element Method ◽  
Research Study ◽  
Extended Finite Element ◽  
T Stress ◽  
Cracked Structures ◽  
Element Method

The work investigates the importance of the K-T approach in the modelling of pressure cracked structures. T-stress is the constant in the second term of the Williams expression; it is often negligible, but recent literature has shown that there are cases where T-stress plays the role of opening the crack, also T-stress improves elastic modeling at the point of crack. In this research study, the most important effects of the T-stress are collected and analyzed. A numerical analysis was carried out by the extended finite element method (X-FEM) to analyze T-stress in an arc with external notch under internal pressure. The different stress method (SDM) is employed to calculate T-stress. Moreover, the influence of the geometry of the notch on the biaxiality is also examined. The biaxiality gave us a view on the initiation of the crack. The results are extended with a comparison to previous literature to validate the promising investigations.

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