β Scribed by Hermann Schad
No coin nor oath required. For personal study only.
The application of finite element methods (FEM) is often restricted by the available computer capacity and the computing costs. The purpose of this paper, therefore, is, to present test results and to discuss possible ways of achieving a substantial reduction in computing times. Dividing the numerical analysis into the five levels-hardware, software, element-mesh and element-type, iteration technique (approximation of non-linearity) and constitutive model-one can show that the computing time can be reduced by about 20 per cent at every level. In particular, the use of the modified Newton-Raphson method for approximation of non-linearity and the constitutive model-apart from the theoretical concept (elastoplastic, hypoelastic etc.)-must be formulated in a manner which does not produce substantial changes in the coefiicients of the material matrix caused by small stress changes. On the whole, computing time can be reduced to about 10 per cent of present computing costs. Thus, it would even be economically viable to solve threedimensional non-linear problems by FEM.
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