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Finite Element Limit Analysis Using Nonlinear Continuous Failure Criterion and Non-Associated Flow Rule and its Application to Estimating Bearing Capacity of Strip Footing on Slope

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Abstract

In this paper, formulation of upper bound finite element limit analysis method based on continuous asymmetric failure criterion as a nonlinear function of confining stress and initial soil density, and considering non-associated flow rule has been presented. The optimization procedure was performed based on nonlinear quasi-Newton algorithm. In this regard, the primary kinematic fields were derived from the linear programming considering the Mohr–Coulomb criterion and the initial stress fields was obtained using classical finite element method. Then, the proposed formulation was applied to estimating the bearing capacity of strip footing located on slope. The results of analyses obtained through proposed formulation were compared with the other analytical methods particularly, those explored based on Mohr–Coulomb failure criteria and considering non-associated flow rule by soil shear strength parameters reduction. Based on the obtained results, for given geometry and boundary condition of slope and footing, the bearing capacity is affected by type of considered dilatancy relation of soil, nonlinear dependence of failure surface on stress level, and soil initial density. For a given internal friction angle, the difference between limit loads obtained by applying nonlinear and linear (Mohr–Coulomb) failure criterions, depends on slope angle. For low slope angle, bearing capacity from nonlinear criterion is more than that from linear criterion.

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  1. Faculty of Engineering, Bu-Ali Sina University, Hamedan, Islamic Republic of Iran

    Mohammad Mahdi Aminpour & Mohammad Maleki

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  1. Mohammad Mahdi Aminpour
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  2. Mohammad Maleki
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Correspondence to Mohammad Mahdi Aminpour.

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Aminpour, M.M., Maleki, M. Finite Element Limit Analysis Using Nonlinear Continuous Failure Criterion and Non-Associated Flow Rule and its Application to Estimating Bearing Capacity of Strip Footing on Slope. Geotech Geol Eng 40, 723–734 (2022). https://doi.org/10.1007/s10706-021-01918-5

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