Abstract

In the present study constitutive equations in finite element simulations are replaced by means of an artificial neural network (ANN). Following this approach, a physically nonlinear stress-strain behavior with strain rate dependency is substituted by an algebraic system of equations. Implementing this mathematical approximation of a constitutive law into a finite element code, a so-called intelligent element is created. This approach leads to a significant reduction of computing time, because a complex material model is treated numerically by matrix multiplications as in the case of elasticity. Here, a viscoplastic material analysis by means of an ANN is proposed and applied to nonlinear structural behavior.

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