Sentence examples for upper bound solution from inspiring English sources

A generalized upper bound solution for the deformation of thick tubes between four flat rolls has been formulated.

In this paper, an upper bound solution is used to determine the ring rolling power and force.

By assuming an exponential transverse deformation shape function, a new analytical model is derived based on energy method and upper bound solution.

The groundwater flow equation was solved and the seepage forces acting on the tunnel face were calculated using the upper bound solution in limit analysis.

The plastic deformation work required to extrude circular billet to circular cross-section through cosine profile based is determined using upper bound solution.

The Rayleigh-Ritz displacement field approximation based on the energy approach introduced an upper bound solution compared to the FE results.

The upper bound solutions are found to be very close to flat indentation solutions available for cohesive-frictional materials.

The numerical results show good agreement with the theoretical upper bound solutions under the same pile spacings (S) and soil-pile adhesion factors.

These two conditions are noted to provide the lower and upper bound solutions respectively on the in-plane shear strength of the webs.

In addition, for certain configurations, it is easy to derive upper bound solutions, the load bearing capacity of which are far less than those predicted in EC3.

The results are presented in the form of stability charts relating the estimated upper bound solutions to the friction angle of fractures.