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Scientific research on functionally graded materials (FGM's) looks at functions of gradients in materials comprising thermodynamic, mechanical, chemical, optical, electromagnetic, and/or biological aspects. This collection of technical papers represents current research interests with regard to the fracture behaviour of FGM's. The papers provide a balance between theoretical, computational, and experimental techniques. It also indicates areas for increased development, such as constraint effects, full experimental characterization of engineering FGM's under static and dynamic loading, development of fracture criteria with predictive capability, multiphysics and multiscale failure considerations, and connection of research with industrial applications.
Since a formulated concept of functionally graded materials (FGMs) was proposed in 1984 as a means of preparing thermal barrier materials, a coordinated research has been developed since 1986. The 125 papers presented here present state of the art research results and developments on FGM from the past decade. A wide spectra of topics are covered including design and modeling, fracture analysis, powder metallurgical processes, deposition and spray processes, reaction forming processes, novel processes, material evaluation for structural applications, organic and intelligent materials. Three reviews associated with national research programs on FGMs promoted in Japan and Germany, and the historical perspective of FGM research in Europe are presented as well. The resulting work is recommended to researchers, engineers and graduate school students in the fields of materials science and engineering, mechanical and medical engineering.
Functionally graded materials (FGMs) are special composites consisting of two constituent phases whose composition change continuously along one direction. The gradual transition in material properties alleviates thermal mismatch problems experienced by cladded and coated components. The microstructure of FGM is usually heterogenous and the dominant failure mode of FGM is the crack initiation and propagation from the inclusions. The interface crack problem is studied by examining the asymptotic behavior of stress and displacement fields around the crack in FGM, and by comparing the results with known solutions for bimaterial systems. The focus is on characterizing the influence of material nonhomogeneity on the fracture parameters, and determining the fracture strength of FGM under quasi-static and dynamic loading.
This book describes the basics and developments of the new XFEM approach to fracture analysis of composite structures and materials. It provides state of the art techniques and algorithms for fracture analysis of structures including numeric examples at the end of each chapter as well as an accompanying website which will include MATLAB resources, executables, data files, and simulation procedures of XFEM. The first reference text for the extended finite element method (XFEM) for fracture analysis of structures and materials Includes theory and applications, with worked numerical problems and solutions, and MATLAB examples on an accompanying website with further XFEM resources Provides a comprehensive overview of this new area of research, including a review of Fracture Mechanics, basic through to advanced XFEM theory, as well as current problems and applications Includes a chapter on the future developments in the field, new research areas and possible future applications of the method
Functionally graded materials are generally two-phase composites with continuously varying volume fractions. Used as coatings and interfacial zones, they help to reduce mechanically and thermally induced stresses caused by the material property mismatch and to improve the bonding strength. In this project some basic problems concerning fracture mechanics of graded materials are identified, general analytical methods for solving the related crack problems are developed, the singular behavior of the solutions for typical material nonhomogeneities is examined, and solutions of some benchmark problems are obtained. The results are intended to provide technical support for material scientists and engineers who are trying to develop methods for processing these materials and for design engineers who are interested in using them in technological applications. Typical applications of functionally graded materials include thermal barrier coatings of high temperature components in gas turbines, surface hardening for tribological protection, and as interlayers in microelectronic and optoelectronic components. The results found show that by eliminating the discontinuities in material property distributions the mathematical anomalies regarding the crack tip stress oscillations for the interface cracks and the nonsquare root singularities for cracks intersecting the interfaces are also eliminated. From the viewpoint of fracture mechanics the importance of this result lies in the fact that in analyzing the components involving functionally graded materials one can use the existing crack tip finite element modeling developed for ordinary square root singularities and apply the energy balance based theories of conventional fracture mechanics.
A novel computational procedure called the scaled boundary finite-element method is described which combines the advantages of the finite-element and boundary-element methods : Of the finite-element method that no fundamental solution is required and thus expanding the scope of application, for instance to anisotropic material without an increase in complexity and that singular integrals are avoided and that symmetry of the results is automatically satisfied. Of the boundary-element method that the spatial dimension is reduced by one as only the boundary is discretized with surface finite elements, reducing the data preparation and computational efforts, that the boundary conditions at infinity are satisfied exactly and that no approximation other than that of the surface finite elements on the boundary is introduced. In addition, the scaled boundary finite-element method presents appealing features of its own : an analytical solution inside the domain is achieved, permitting for instance accurate stress intensity factors to be determined directly and no spatial discretization of certain free and fixed boundaries and interfaces between different materials is required. In addition, the scaled boundary finite-element method combines the advantages of the analytical and numerical approaches. In the directions parallel to the boundary, where the behaviour is, in general, smooth, the weighted-residual approximation of finite elements applies, leading to convergence in the finite-element sense. In the third (radial) direction, the procedure is analytical, permitting e.g. stress-intensity factors to be determined directly based on their definition or the boundary conditions at infinity to be satisfied exactly. In a nutshell, the scaled boundary finite-element method is a semi-analytical fundamental-solution-less boundary-element method based on finite elements. The best of both worlds is achieved in two ways: with respect to the analytical and numerical methods and with respect to the finite-element and boundary-element methods within the numerical procedures. The book serves two goals: Part I is an elementary text, without any prerequisites, a primer, but which using a simple model problem still covers all aspects of the method and Part II presents a detailed derivation of the general case of statics, elastodynamics and diffusion.