Meshfree methods and extended finite element methods for arbitrary discontinuities.In the first part, a new vector level set method for modeling propagating cracks in the element free Galerkin method is presented. With this approach only nodal data are used to describe the crack; no geometrical ...
Melenk JM, Babuž ska I (1996) The partition of unity finite element method: Basic theory and application. Comput Methods Appl Mech Eng 139(1–4):289–314 Article MATH MathSciNet Google Scholar Moës N, Belytschko T (2002) Extended finite element method for cohesive crack growth. Eng...
(2015). A very few works of dynamic crack analysis are derived either from the meshless methods (Sladek et al., 2008, Sladek et al., 2010, Sladek et al., 2012) or the extended finite element method (XFEM) (Bui and Zhang, 2013), while some other studies using the conventional ...
composites and orthotropic media including traditional displacement finite element method (FEM) [8], [9], [10], [11], extended finite element method (XFEM), boundary element method (BEM) [12], [13], extended isogeometric analysis, meshfree methods [14], [15], phase field method (PFM) [...
In this work a finite element framework is presented to study complex fracture problems under both quasi-static and dynamic conditions. Using the partition of unity approach to cohesive fracture, the initiation, growth and coalescence of... Duarte, C. - 《Comput.methods Appl.mech.engrg》 被引量...
extended finite element methodisogeometric analysislocal maximum entropymeshless methodAn extended approach is developed by blending isogeometric analysis and the first鈥恛rder local maximum entropy for the standard and the enhanced fields, respectively. Isogeometric analysis facilitates the accurate ...
Finite element methodMeshfree methodsPoint interpolation methodSolution boundSuperconvergencexGalerkin weak formA point interpolation method (PIM) with continuous strain field (PIM-CS) is developed for mechanics problems using triangular background mesh, in which PIM shape functions are used to construct ...
The main idea of XFEM is to enrich the standard finite element approximation by incorporating discontinuous fields through the partition of unity method. The XFEM has been recently developed and combined with other numerical methods to study problems with crack. Some meshfree methods based on the ...
Fig. 9 shows a comparison of the load–displacement curves by using the present approach with respect to the analytical solution by using the continuum elasticity analysis, finite element solution, and the results using the commonly-used peri- dynamic kernel function. The horizontal axis denotes ...
The analytical approach 3 ACCEPTED MANUSCRIPT developed for the buckling analysis of cracked FGM plates, however, in general may be very limited to problems with simple geometries and boundary conditions, and numerical methods e.g., boundary element method, meshfree method, extended finite element ...