By Bill Davey, Clive Mathews
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Additional resources for A Model for Information Support of Environmental Management Systems
The n-parameter continuous piecewise linear function pwlin, is defined in eqn (10). n − 1, θ ∈ [ 0, 2π ] n n n αr = ( cr +1 − cr ) , β r = ( r + 1) cr − rcr +1 2π (10) This set of concentration functions is useful because the integrals in matrix M in eqn (8) are simple for all values of n (although it’s technically harder to define their domains correctly). No assumption are made about placement of the cr. This fact, and the results using piecewise linear concentration functions, effectively counter Poullikkis’s assertion , that point sources must be placed uniformly at a fixed distance from the boundary.
C. , The Boundary Element Method Applied to Inelastic Problems, Springer-Verlag, Berlin, 1983.  Ochiai, Y. , Initial Stress Formulation for Elastoplastic Analysis by Improved Multiple-Reciprocity Boundary Element Method, Engineering Analysis with Boundary Elements, Vol. 23, pp. 167-173, 1999.  Ochiai, Y. , Initial Strain Formulation without Internal Cells for Elastoplastic Analysis by Triple-Reciprocity BEM, International Journal for Numerical Methods in Engineering, Vol. 50, pp. 1877-1892, 2001.
In this method, the strong singularity that appears in the calculation of internal stress by the conventional boundary element method becomes weak. Using numerical examples, the effectiveness and accuracy of this method were demonstrated. In this method, the merit of BEM, which is ease of data preparation, is not lost because internal cells are not necessary. References  Telles, J. C. , The Boundary Element Method Applied to Inelastic Problems, Springer-Verlag, Berlin, 1983.  Ochiai, Y. , Initial Stress Formulation for Elastoplastic Analysis by Improved Multiple-Reciprocity Boundary Element Method, Engineering Analysis with Boundary Elements, Vol.