Summary. In this paper, an incremental analysis method of perfect elasto-plastic constitutive relation based on Drucker-Prager criteria is adopted in nonlinear finite element computation, which is of first-order accuracy and unconditional stable. This method converges for either small load steps or large load steps. The method was embedded into a 3D nonlinear FEM software named TFINE and applied to stability analysis of Dagangshan high slope. Both theoretical analysis and numerical example show that the method is suitable for limit analysis and can achieve high accuracy to large load increment.
Current fracture analysis models based on fracture mechanics or continuum damage mechanics are still limited in the application to three-dimensional structure. Based on deformation reinforcement theory coming from elastoperfect plastic theory, unbalanced force is proposed to predict initiation and propagation of cracks. Unbalanced force is the driving force of time-dependent deformation according to Perzyna’s viscoplasticity theory. It is also related to the damage driving force in viscoplastic damage model. The distribution of unbalanced force indicates cracks initiation area, while its direction predicts possible cracks propagation path. Uniaxial compression test of precrack specimen is performed as verification to this method. The trend and distribution of cracks are in good agreement with numerical results, proving that unbalanced force is feasible and effective for fracture analysis. The method is applied in fracture analysis of Xiaowan high arch dam, which is subjected to some cracks in dam due to the temperature control program. The results show that the deformation and stress of cracks and the stress characteristics of dam are insensitive to grouting of cracks. The existing cracks are stable and dam heel is still the most possible cracking position.
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