Moreover, the application of lower bound theorem is especially difficult.
特别是下限定理的应用困难很大。
Then with the upper-bound theorem and the surface integral an analytical solution of the drawing stress was first obtained.
入口截面不消耗剪切功率，然后用上界定理与曲面积分方法首次得到了用余弦模拉拔方棒时变形力的解析解。
It is found that theoretical results of extrusion force given by the two calculating formulas using upper bound theorem ar.
本文推导的挤压力理论计算公式具有一定的工程实用性，为挤压模具的设计和挤压工艺的制定提供了理论依据。
Earth pressure calculation based on upper bound theorem of plasticity can be numerically performed by element integration method.
基于塑性力学上限定理的土压力计算，在数值上可以通过单元集成法来实现。
Bearing capacity analysis based on the upper bound theorem of plasticity could be numerically performed by element integration method.
基于塑性力学上限定理的地基承载力分析，在数值上可以通过单元集成法来实现。
Safety factors of slope stability analysis and limit bearing capacities of footings were solved by adopting lower bound theorem of limit analysis.
采用极限分析下限原理求解了岩土工程中基础的极限载力和边坡的安全系数。
The stability problems of steel structure are studied using the method of probability analysis and stability lower bound theorem from three respects.
本文以概率分析及安定下限定理的分析方法，从三个方面对钢结构的安定问题进行了研究。
The upper bound and lower bound theorem of classical plasticity theory and corresponding FEM is applied to analyze the bearing capacity of gravity dam for judging the stability of the dam.
应用结构塑性极限分析的上、下限定理及相应的有限元法分析重力坝的极限承载能力，以判断大坝的稳定性。
The limit external load could therefore be solved from the upper bound limit theorem, and its minimum value could be obtained from the optimization method.
然后，根据上限定理可以求得与滑动机构相对应的极限外载荷，并通过非线性数学规划法找到其最小值。
The theorem which allows the nonlinearity to have a minus lower bound serves to generalize and improve many known results.
该定理允许非线性项有一个负的下界，推广和改进了一些已知研究结果。
The theorem which allows the nonlinearity to have a minus lower bound serves to generalize and improve many known results.
该定理允许非线性项有一个负的下界，推广和改进了一些已知研究结果。
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