By Soheil Mohammadi
This booklet describes the fundamentals and advancements of the hot XFEM method of fracture research of composite structures and fabrics. It offers cutting-edge innovations and algorithms for fracture research of buildings together with numeric examples on the finish of every bankruptcy in addition to an accompanying web site so one can comprise MATLAB assets, executables, information documents, and simulation methods of XFEM.
- The first reference textual content for the prolonged finite point process (XFEM) for fracture research of constructions and materials
- Includes conception and purposes, with labored numerical difficulties and suggestions, and MATLAB examples on an accompanying web site with additional XFEM resources
- Provides a accomplished review of this new zone of study, together with a assessment of Fracture Mechanics, simple via to complicated XFEM thought, in addition to present difficulties and applications
- Includes a bankruptcy at the destiny advancements within the box, new examine components and attainable destiny purposes of the method
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Extra resources for XFEM Fracture Analysis of Composites
The ﬁrst term of the series (λ1 = 1/2) represents the Westergaard approximate solution for the opening mode near the crack tip. Similar radial and angular functions are obtained in both approaches. Several more terms, however, have to be computed in order to compute accurate solutions for points far from the crack tip. 1 Deﬁnition of the Stress Intensity Factor Irwin (1957) introduced the concept of stress intensity factor K(SIF), as a measure of the strength of the singularity. He illustrated that all elastic stress ﬁelds around a crack tip are √ distributed similarly, and K ∝ σ π r controls the local stress intensity.
Finally, a number of numerical simulations are provided to illustrate the validity, robustness and efﬁciency of the proposed approach for evaluation of mixed mode stress intensity factors in homogeneous orthotropic materials. Chapter 5 is devoted to dynamic fracture analysis of composites. After a comprehensive literature review, analytical solutions for near crack-tip in dynamic states are provided for isotropic and orthotropic media. Then, a section on dynamic stress intensity factors discusses the dynamic fracture criteria for different cases of stationary and moving cracks.
Furthermore, concepts of FEM are now offered by all engineering departments in the form of postgraduate and even undergraduate courses. Introduction and fast development of the ﬁnite element method drastically changed the extent of application of LEFM from classical idealized models to complex practical engineering problems. , 2006; Yang, Peng and Kwan, 2006; Bruno, Carpino and Greco, 2007; Greco, Lonetti and Blasi, 2007). Later, various techniques were developed within the FEM framework to allow reproduction of a singular stress ﬁeld at a crack tip and to facilitate simulation of arbitrary crack propagations.
XFEM Fracture Analysis of Composites by Soheil Mohammadi