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Abstract Based on the secondary development of ABAQUS，the Hill¢s sufficient stability condition is applied，with finite element method，to limit bearing capacity calculation of strip foundation on cohesive frictional soils. The limit bearing capacity of the foundation as well as the potential instability regions of the soil is studied. According to Hill¢s sufficient stability condition，when the local second order work of the soil system is negative，the local region becomes potentially instable；when the global second order work of the system is negative，the system arrives limit state，and becomes potentially instable，thus the limit bearing capacity of the system is the load applied to the system at the moment. The influence of dilatancy angle on the bearing capacity is studied. Results show that，when the dilatancy angle is much smaller than the frictional angle，the limit bearing capacity computed by finite element method(FEM) with Hill¢s sufficient stability condition is close to theoretical solution of the equivalent material，and smaller than that of regular FEM. When the dilatancy angle is close to the frictional angle，the results of FEM with Hill¢s sufficient stability condition and the regular FEM are close and both can give preferable solution. The FEM with Hill¢s sufficient stability condition can also give the potential instability regions of the soil system，which can depict the surface failure mode and field failure mode simultaneously. Since the FEM with Hill¢s sufficient stability condition has a solid and clear theoretical background and therefore it is convenient to use，it is a deserved method for recommendation.
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Received: 04 January 2009
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