3.2.4 Modeling of models

Modeling of models is a modeling concept as follows; if models of different scales targeting the same prototype using the same material yield the identical behavior, the reduced scale models are to produce the behavior of prototype.

Fig. 2(a) illustrates the models of a prototype foundation into 1/50 and 1/100 with the dimensions reduced proportionally. The principle of Modeling of models discussed by Ko (1988) is demonstrated in Fig. 2(b), that is, a 10 m-high prototype can be modeled at full scale, at 1/10 scale or at 1/100 scale at points A1, A2 or A3 respectively.

 

Fig. 2(a) Modeling of models

 

Fig. 2(b) Modeling of models principle (after Ko. 1988)

 

References for sections 3.2.1 through 3.2.6

Siddiquee, M.S.A., Tanaka, T. and Tatsuoka, F. (1992) : A numerical simulation of bearing capacity of footing on sand, Proc. of 27th. Annual Meet. JSSMFE, Vol. 2, pp. 1413-1416.

Ko, H.Y. (1988) : Summary of the state-of-the-art in centrifuge model testing, In Centrifuges in Soil Mechanics (eds Craig, W.H., James, R.G. and Schofield, A.N.), Balkema, Rotterdam, pp. 11-18.

Taylor, R.N. (1995) : Centrifuges in modelling: principles and scale effects, In Geotechnical Centrifuge Technology (ed Taylor, R.N.), Blackie Academic and Professional, Glasgow, pp. 19-33.

Phillips, R. (1995) : Centrifuges in modelling: practical consideration, In Geotechnical Centrifuge Technology (ed Taylor, R.N.), Blackie Academic and Professional, Glasgow, pp. 34-60.