The invention relates to a
plasticity limit analysis upper-bound method of a non-across jointed rock
mass, and belongs to the field of
bearing capacity analysis of the rock
mass in
rock mechanics. The method comprises the steps of: on the basis of an upper-bound method theory in
plasticity limit analysis, discretizing a non-across jointed
rock slope by adopting a
hybrid element method, namely constructing a kinematically admissible velocity field which simultaneously meets block and structural
surface deformation compatibility conditions,
plasticity flowing constraint conditions, internal and external power equivalence conditions, block element and
triangular element interface plasticity flowing conditions and velocity boundary conditions by adopting a
rigid block element
discretization rock, a finite element
discretization rock bridge, a block element
centroid speed and a
triangular element node velocity as unknown quantities; and building a linear mathematical
programming model of solving an
ultimate load of the non-across jointed rock
mass, solving the linear mathematical
programming model by adopting an interior point
algorithm and obtaining an upper-bound solution of the
ultimate load of the non-across jointed rock mass. The plasticity
limit analysis upper-bound method has the characteristics of clear concepts, high calculation accuracy and the like.