Solution of Ultimate Load for Slope and Foundation with Finite Element Lower Bound Limit Analysis Method
Gang Jiang
Abstract
Gang Jiang
Abstract
The computational domain is discreted by the plastic ultimate lower bound limit analysis of FEM,and the mathematic linear programming model in which the stress is as the unknown quantity and the ultimate load is as the objective function is established to satisfy the equilibrium condition,stress concatenation condition,stress boundary condition,as well as yielding condition.The ultimate load for slope and foundation is solved by the Matlab program with finite element plastic lower bound limit analysis.Compared with the analytical solution,the program is correct and valid,meanwhile the effect and rule of ultimate load by related parameters is analyzed.
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The computational domain is discreted by the plastic ultimate lower bound limit analysis of FEM,and the mathematic linear programming model in which the stress is as the unknown quantity and the ultimate load is as the objective function is established to satisfy the equilibrium condition,stress concatenation condition,stress boundary condition,as well as yielding condition.The ultimate load for slope and foundation is solved by the Matlab program with finite element plastic lower bound limit analysis.Compared with the analytical solution,the program is correct and valid,meanwhile the effect and rule of ultimate load by related parameters is analyzed.
Key concepts: Finite element method, Limit analysis, Upper and lower bounds, Limit (mathematics), Foundation (evidence), Structural engineering, Finite element limit analysis, Limit load