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232     Aeronautical Engineer’s Data Book
      edges of a wireframe to define the surfaces.
      They can therefore define structure bound­
      aries, but cannot distinguish a hollow object
      from a solid one. Surface models can be used
      for geometric assembly models etc., but not
      analyses which require the recognition of the
      solid properties of a body (finite element stress
      analysis, heat transfer etc.).

      Solid models
      Solid models provide a full three-dimensional
      geometrical definition of a solid body. They
      require large amounts of computer memory for
      definition and manipulation but can be used for
      finite element applications. Most solid model­
      ling systems work by assembling a small
      number of ‘building block’ reference shapes.


      12.7.3 Finite Element (FE) analysis
      FE software is the most widely used type of
      engineering analysis package. The basic idea is
      that large three-dimensional areas are subdi­
      vided into small triangular or quadrilateral
      (planar) or hexahedral (three-dimensional)
      elements then subject a to solution of multiple
      simultaneous equations. The general process is
      loosely termed mesh generation. There are four
      types which fall into the basic category.
      •	 Boundary Element Modelling (BEM): This
         is a simplified technique used for linear or
         static analyses where boundary conditions
         (often assumed to be at infinity) can be
         easily set. It is useful for analysis of cracked
         materials and structures.
      •	 Finite Element Modelling (FEM):  The
         technique involves a large number of
         broadly   defined  (often  symmetrical)
         elements set between known boundary
         conditions. It requires large amounts of
         computing power.
      •	 Adaptive   Finite  Element   Modelling
         (AFEM):  This is a refinement of FEM in
         which the element ‘mesh’ is more closely
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