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Structural integrity of engineering components made of functionally graded materials

By Oyedele O. Oyekoya

Abstract

Functionally graded materials (FGM) are composite materials with microstructure gradation optimized for the functioning of engineering components. For the case of fibrous composites, the fibre density is varied spatially, leading to variable material properties tailored to specific optimization requirements. There is an increasing demand for the use of such intelligent materials in space and aircraft industries. The current preferred methods to study engineering components made of FGM are mainly modelling particularly those that are finite element (FE) based as experimental methods have not yet sufficiently matured. Hence this thesis reports the development of a new Mindlin-type element and new Reissner-type element for the FE modelling of functionally graded composite (FGC) structures subjected to various loadings such as tensile loading, in-plane bending and out-of-plane bending, buckling and free vibration. The Mindlin-type element formulation is based on averaging of transverse shear distribution over plate thickness using Lagrangian interpolation. Two types of Mindlintype element were developed in this report. The properties of the first Mindlin-type element (i.e. Average Mindlin-type element) are computed by using an average fibre distribution technique which averages the macro-mechanical properties over each element. The properties of the second Mindlin-type element (i.e. Smooth Mindlin-type element) are computed by using a smooth fibre distribution technique, which directly uses the macro-mechanical properties at Gaussian quadrature points of each element. The Reissner-type element formulation is based on parabolic transverse shear distribution over plate thickness using Lagrangian and Hermitian interpolation. Two types of Reissner-type element were developed in this report, which include the Average and Smooth Reissner-type elements. There were two types of non-linearity considered in the modelling of the composite structures, which include finite strain and material degradation. The composite structures considered in this paper are functionally graded in a single direction only, but the FE code developed is capable of analysing composite structures with multidirectional functional gradation. This study was able to show that the structural integrity enhancement and strength maximisation of composite structures are achievable through functional gradation of material properties over the composite structures

Publisher: Cranfield University
Year: 2008
OAI identifier: oai:dspace.lib.cranfield.ac.uk:1826/3802
Provided by: Cranfield CERES

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Citations

  1. (1993). A computational model for FE ductile plastic damage analysis of plate bending. doi
  2. (1971). A general theory of strength for anisotropic materials. doi
  3. (1995). A geometrically non-linear quasi-conforming ninenode quadrilateral degenerated solid shell element, doi
  4. (1999). A high order shear element for non-linear vibration analysis of composite layered plates and shells. doi
  5. (1977). A higher-order theory of plate deformation, Part 1: Homgeneous Plates, Part 2: Laminate Plates, doi
  6. (1943). A lattice analogy for the solution of plane stress problems. doi
  7. (1990). A modified shear deformation theory for laminated anisotropic plates. doi
  8. (2003). A new approach to compute T-stress in functionally graded materials by means of the Interaction Integral Method. Engineering Fracture Mechanics, doi
  9. (2003). A new generation of cutting tools based on functionally graded sialons for solving the machining problems of the 21 st century.
  10. (1987). A progressive damage model for laminated composites containing stress concentrations. doi
  11. (1992). A quasi-conforming nine-node degenerated shell finite element. Finite Element Analysis and Design, doi
  12. (1991). A simple C 0 quadrilateral thick/ thin shell element based on the refined shell theory and the assumed strain fields. doi
  13. (1975). A simple finite element solution for plates of homogenous, sandwich and cellular construction. doi
  14. (1984). A simple higher-order theory for laminated composite plates, doi
  15. (1992). A simple non-layered finite element for the elastoplastic analysis of shear flexible plates. doi
  16. (1976). A simultaneous iteration algorithm for symmetric eigenvalue problem. doi
  17. (1978). A study of quadrilateral plate bending elements with reduced integration. doi
  18. (1995). An accumulative damage model for tensile and shear failures of laminated composite plates. doi
  19. (2006). Analysis and performance of fiber composites. 3 rd edition,
  20. (2000). Analysis of functionally graded plates. doi
  21. (2008). Analytical modelling of sandwich beams with functionally graded core. doi
  22. (1947). Approximation in elasticity based on the concept of function space.
  23. (1963). Basis for derivation of matrices for direct stiffness method. doi
  24. (2002). Boundary element methods for functionally graded materials. IABEM, UT Austion,
  25. (2002). Buckling of functionally graded plates under in-plane compressive loading. doi
  26. (2004). Buckling of rectangular functionally graded material plates subjected to nonlinearly distributed in-plane edge loads. doi
  27. (1999). Composite materials: engineering and science, doi
  28. (1992). Cylindrical bending of thick laminated plates, doi
  29. (1991). Damage tolerance of laminated composites containing an open hole and subjected to comprehensive loadings: Part 1. Analysis. doi
  30. (1986). Derivation of Lagrangian and Hermitian shape functions for quadrilateral elements. doi
  31. (1986). Derivation of Lagrangian and Hermitian shape functions for triangular elements. doi
  32. (1991). Effect of transverse normal stress on the bending of thick laminated plates.
  33. (1991). Efficient and accurate four-node quadrilateral C plate bending lement based on assumed strain fields. doi
  34. (1966). Elastic wave propagation in heterogenous plates. doi
  35. (1960). Energy theorems and structural analysis. In: Collection of papers published doi
  36. (2006). Engineering mechanics of composite materials, 2 nd edition.
  37. (1984). Experimental mechanics of fiber reinforced composite materials. Revised edition. The society for experimental mechanics, doi
  38. (2001). Finite element analysis of engineering components made of functionally graded materials. MSc thesis,
  39. (1991). Finite element analysis of progressive failure in laminated composite plates. doi
  40. (1996). Finite element static, dynamic and flutter analysis of rotating composite layered plates and shells.
  41. (2001). First ply failure analysis of stiffened panels – a finite element approach. doi
  42. (1984). Formulation of quasi-conforming element and Hu-Washizu principle, Computers and Structures, doi
  43. (1997). Functionally graded material properties for disks and rotors. doi
  44. (2003). Functionally graded materials for biomedical applications. doi
  45. (2002). Functionally graded thermal barrier coating for F402 turbine engine components. Citing Internet resources (WWW
  46. (1991). Geometrical nonlinear analysis of plates by assumed strain element with explicit tangent stiffness matrix. doi
  47. (2008). Geometrically non-linear analysis of functionally graded material (FGM) plates and shells using a four-node quasiconforming shell element. doi
  48. (2005). Indiana 21 st century research and technology fund: Low cost carbon-carbon technology for pervasive economic growth,
  49. (1951). Influence of Rotary inertia and shear on flexural motion of isotropic elastic plates. doi
  50. (1995). Intelligent functionally graded material: bamboo; doi
  51. (1980). Introduction to composite materials. doi
  52. (1993). Investigation report on the improvement of energy conversion efficiency by FGM technology.
  53. (2006). Linear static and dynamic analysis of laminated composite plates and shells using a 4-node quasi-conforming shell element, Composites Part B-Engineering, doi
  54. (1981). Locking of thin plate/shell elements. doi
  55. (1997). Mechanics of Composite Materials. doi
  56. (1991). Mechanics of fibrous composites. Elsevier Applied Science, London and doi
  57. (1995). Non-linear and first ply failure analyses of laminated composite cross ply plates. doi
  58. (1976). Numerical methods in finite element analysis, Prentice Hall Englewood Cliffs, doi
  59. (1950). On a Variational Theorem in Elasticity.
  60. (1975). On transverse bending of plates, including the effects of transverse shear deformation. doi
  61. (2004). Optimisation of functionally graded materials with temperature dependent properties. A meshfree solution.
  62. (2005). Progressive damage analysis of composite layered plates and shells using finite strip methods. doi
  63. (1996). Progressive damage analysis of laminated composite (PDALC) – a computational model implemented in the NASA COMET finite element code.
  64. (1999). Progressive failure analysis methodology for laminated composite structures. doi
  65. (2001). Progressive failure analysis of a composite shell. doi
  66. (1996). Progressive failure analysis of laminated composite beams. doi
  67. (1978). Reduced and selective integration techniques in the finite element analysis of plates. doi
  68. (1987). Research on the basic technology for the development of FGMs for relaxation of thermal-stress. In:
  69. (1970). Shear deformation in heterogeneous anisotropic plates. doi
  70. (1941). Solution of problems in elasticity by the framework method.
  71. (1956). Stiffness and deflection analysis of complex structures.
  72. (1968). Strength theories of filamentary structures, In: Fundamental aspects of fiber reinforced plastic composites, edited by
  73. (1998). Stress analysis in a joint with a functionally graded material under a thermal loading by using the Mellin transform method. doi
  74. (1983). String net approximation and quasiconforming technique, In: Hybrid and Mixed Finite Element Methods, edited by Alturi,
  75. (1953). Structural analysis and influence coefficients for delta wings. doi
  76. (1999). Structural integrity of functionally graded materials using finite element methods. MSc Thesis,
  77. (2002). Swedish Defence Research Agency. doi
  78. (2002). Synergistic tailored design of metals and structures. In: AVST morphing project research summaries in fiscal year
  79. (1945). The effects of transverse shear deformation on the bending of elastic plates. doi
  80. (1970). The evaluation of eigenvalues by simultaneous iterations.
  81. (1960). The finite element method in plane stress analysis.
  82. (1967). The finite element method in structural and continuum mechanics, doi
  83. (1978). The heterosis finite element for plate bending. doi
  84. (1950). The Mathematical theory of plasticity, doi
  85. (1996). Theoretical and experimental investigation of failure and damage progression of graphite-epoxy composites in flexural bending test.
  86. (2002). Three-dimensional transient heat conduction in functionally graded materials. doi
  87. (2004). Topology optimisation applied to the design of functionally graded material (FGM) structures. XXI ICTAM,
  88. (1943). Variational methods for the solution of problems of equilibrium and vibrations. doi

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