Abstract
The integral equations obtained in the previous chapter have to be solved numerically. For this purpose the boundary of each body involved is modelled by a series of segments, known as elements. Over each element, the distribution of the boundary geometry and the components of the traction and displacement vectors are expressed in terms of suitable algebraic functions involving values at certain nodal points associated with the element. The integral equations are thereby reduced to linear algebraic equations. Combining these algebraic equations in the contact area for the bodies in contact the number of equations remains equal to number of unknowns. The algebraic equations are then solved by standard matrix reduction algorithms for the unknown data. Having found all the tractions and displacements on the boundary, the interior stresses and displacements, if required, are then obtained directly by quadrature, with no need for approximation to the interior stress or displacement data.
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Karami, G. (1989). Numerical Solution of the Boundary Element Method. In: Lecture Notes in Engineering. Lecture Notes in Engineering, vol 51. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83897-2_4
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DOI: https://doi.org/10.1007/978-3-642-83897-2_4
Publisher Name: Springer, Berlin, Heidelberg
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