Extended Finite Element and Meshfree Methods provides an overview of, and investigates, recent developments in extended finite elements with a focus on applications to material failure in statics and dynamics. This class of methods is ideally suited for applications, such as crack propagation, two-pha...
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 ...
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) [...
Extended meshfree methods without the branch enrichment for cohesive cracks, Comput Mech 2007;40(2):367- 382.Zi G, Rabczuk T, Wall W. Extended meshfree methods without branch enrichment for cohesive cracks. Computational Mechanics 2007; 40:367-382....
XFEM 3-day seminar, 14-16 Sep 2011 The Extended Finite Element Method From basic theory to advanced applications Standard numerical methods like the FEM and FVM are widely established in today's engineering practice. They are well-suited for the approximation of smooth solutions. However, in the...
(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 ...
finite element analysisplates (structures)polynomials/ meshfree particle methodsthin platesclassical plate modelfourth order elliptic equation... HS Oh,C Davis,JW Jeong - 《Computer Methods in Applied Mechanics & Engineering》 被引量: 46发表: 2012年 Robust C0 high-order plate finite element for thin...
Petr Krysl,T Belytschko - 《International Journal for Numerical Methods in Engineering》 被引量: 5257发表: 1999年 Generalizing the finite element method: Diffuse approximation and diffuse elements This paper describes the new diffuse approximation method, which may be presented as a generalization of ...
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 ...