A hypoplastic macroelement model for shallow foundations under monotonic and cyclic loads |
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| Authors: | Diana Salciarini Claudio Tamagnini |
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| Institution: | 1. Dipartimento di Ingegneria Civile e Ambientale, Università degli Studi di Perugia, via G. Duranti 93, Perugia, Italy
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| Abstract: | In this work, a macroelement for shallow foundations on sands has been developed based on the theory of hypoplasticity. The
incrementally nonlinear constitutive equations of the macromodel are defined in terms of generalized forces and displacements
and are constructed based on the general approach proposed by Niemunis (Extended Hypoplastic Models for Soils. Habilitation
Thesis, Bochum University, 2002). A suitable vectorial internal variable—mimicking the concept of intergranular strain introduced
by Niemunis and Herle (Mech Cohes Frict Mater 2:279–299, 1997) for continuum hypoplasticity—is employed to provide the model
sufficient memory of past displacement history to be able to reproduce the observed behavior under cyclic loading paths. As
compared to similar macroelements formulated within the framework of the theory of elastoplasticity, the proposed approach
has the advantage of a much simpler mathematical structure, which allows a straightforward implementation in existing structural
analysis FE codes. The model performance has then been evaluated by comparing the model predictions with available experimental
results from a series of small-scale model tests reported by Nova and Montrasio (Géotechnique 41:243–256, 1991). Overall,
the model captures reasonably well the observed response under nonproportional, complex loading paths. A series of simulations
reproducing the tests performed by di Prisco et al. (Shallow footing under cyclic loading: experimental behaviour and constitutive
modelling. Patron, Bologna, 2003) has also demonstrated the potential of the proposed model to simulate the observed behavior
of footings under cyclic loading paths, at least from a qualitative point of view. |
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