Abstract:
Introduction This chapter is concerned with applying GP [Koza 1992] in the field of solid mechanics. More precisely, the aim is to discover a model, or constitutive law, characterizing the mechanical behavior of a material from mechanical experiments. The design of modern structures requires ever more detailed knowledge of the constitutive properties of materials. Such knowledge is needed to predict through numerical simulations the behavior of the structure under external loads. Reliable predictions allow for meeting the engineering requirements at a lower cost. A number of new materials (composite materials, polymers), have recently entered into wide usage and no accurate model of their behavior is so far available. The identification of a constitutive law for new materials therefore becomes a major challenge for mechanical science and industry. 23.1.1 State of the art The design of an accurate law requires considerable insight in mechanics.
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