A Virtual Crack Closure-Integral Method for Generalized Finite Element with Drilling and Strain Degrees of Freedoms

Prediction of Crack Initiation Direction for Inclined Crack Under Biaxial Loading by Finite Element Method

This paper presents a simple method based on strain energy density criterion to study the crack initiation angle by finite element method under biaxial loading condition. The crack surface relative displacement method is used to eliminate the calculation of the stress intensity factors which are normally required. The analysis is performed using higher order four node quadrilateral element. The...

A Finite Element Method for Crack Growth without Remeshing

An improvement of a new technique for modelling cracks in the nite element framework is presented. A standard displacement-based approximation is enriched near a crack by incorporating both discontinuous elds and the near tip asymptotic elds through a partition of unity method. A methodology that constructs the enriched approximation from the interaction of the crack geometry with the mesh is d...

Generalized Gaussian Quadrature Rules for Discontinuities and Crack Singularities in the Extended Finite Element Method

New Gaussian integration schemes are presented for the efficient and accurate evaluation of weak form integrals in the extended finite element method. For discontinuous functions, we construct Gauss-like quadrature rules over arbitrarily-shaped elements in two dimensions without the need for partitioning the finite element. A point elimination algorithm is used in the construction of the quadra...

Stress analysis around crack tips in finite strain problems using the eXtended finite element method

Effect of Bed and Crack on the Natural Frequency for the Timoshenko Beam Using Finite Element Method

In this study, the natural frequencies and mode shapes of beams without cracks and cracked Timoshenko beams is calculated with different boundary conditions using finite element method. The energy method is used to solve the equations. Hardness and softness matrices for Timoshenko beam without crack are obtained by solving the potential and kinetic energy equations. Then for investigation of cr...