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Exact(1)
That is to say, the shear and tensile strengths of soil or rock are irrelevant to the associated and non-associated flow rules because the dilation angle ψ does not occur to the yield functions, i.e., Eqs.
Similar(59)
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.
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.
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.
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.
The dilation angle for a given shear displacement (or base distance) is not sensitive to the profile length if it exceeds the typical in situ block size.
Since the potential function G has the same form as the yield function F, its differentiation with respect to stress (n′) is similar to n, except the angle of internal friction ϕ must be replaced with the dilation angle ψ.
The dilation angle plays a key role in RuC and its lower value (compared to that of NC) influences the concrete confinement.
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