Exact(2)
The factor of safety of a slope is influenced by the dilation angle.
Their post-yield behavior follows the non-associated flow rule defined by the dilation angle.
Similar(58)
It was also observed that the dynamic response of the system is greatly affected by the nonlinearity of soil pile interface and is not sensitive to the dilation angle of the soil.
Consequently, if the accurate value of the dilation angle of soil or rock can be obtained by test, the results by the UMAT or ABAQUS will be definitely more reliable than those of the limit equilibrium and limit analysis methods.
The plastic flow rule is controlled by the plastic potential and expressed by Q = p^{prime}sin psi_{{_{p} }}^{omega } + Jleft( {cos theta - frac{{sin theta sin psi_{{_{p} }}^{omega } }}{sqrt 3 }} right) - C_{text{p}}^{omega } cos psi_{text{p}}^{omega } = 0 (17)(psi_{text{p}}^{omega }) is the dilation angle which describes the transition between plastic compressibility and the plastic dilatancy.
In addition, stress-sensitive parameters are utilized for both the intact rock and bedding plane, among which the dilation angle and strength parameters of intact rock are influenced by confining pressure and loading history, whereas the stiffnesses of bedding planes are closely related to the current normal stress.
The larger the dilation angle, the greater the factor of safety, and the factor of safety reaches its maximum when the associated flow rule (the dilation angle equals to the angle of internal friction of soil or rock) is adopted by the UMAT.
The factor of safety increases with the dilation angle, and it reaches the minimum (even less than 1.00) or maximum (greater than 1.00), respectively, when zero dilation or full dilation (associated flow rule) is considered.
In the FE model it is also necessary to define the dilation angle, but as associated flow was assumed it follows that φ = β.
(1) The dilation angle ψ is a ratio of vertical shear strain increment and strain increment, which is taken as 38 degrees.
It is illustrated from a few examples that displacement distributions obtained from the dilation angle model are more reasonable when compared with the general trend measured underground.
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