An upper bound-based solution for the shape factors of bearing capacity of footings under drained conditions using a parallelized mixed f.e. formulation with quadratic velocity fields

Collapse loads for rectangular foundations by three‐dimensional upper bound limit analysis using radial point interpolation method

“…On the other hand, the values of s c and s q from the present analysis are found match well with the solution of Zhu and Michalowski, which was based on the three‐dimensional elastoplastic finite element method; the values of the shape factors reported by Zhu and Michalowski are found to be only marginally lower. The values of s q reported by Antão et al, based on the UB‐FELA using continuous quadratic velocity field, have been found to be very close to the present solution. In case of s γ , the present solution compares closely with the results of (1) Antão et al based on the UB‐FELA by using continuous quadratic velocity field and (2) Puzakov et al using FLAC3D. The difference between the lower and upper solution curves of Lyamin et al based on three‐dimensional finite element limit analysis in combination with the nonlinear optimization are found to quite extensive.…”

“…The factor s c has been compared with the results of (1) Meyerhof and Hansen by using the limit equilibrium method, (2) Michalowski by using the upper bound limit analysis with the application of the multiblocks three‐dimensional collapse mechanism, and (3) Zhu and Michalowski by using the finite element software ABAQUS. The factor s q obtained from the present analysis has been compared with the results of (1) Meyerhof and Hansen by using the limit equilibrium method, (2) Michalowski by using the upper bound limit analysis, (3) Zhu and Michalowski by using ABAQUS, and (4) Antão et al on the basis of the UB‐FELA using continuous quadratic velocity fields. The factor s γ has been compared with the numerical solutions of (1) Lyamin et al by using the limit analysis in combination with finite elements and nonlinear optimization, (2) Puzakov et al using FLAC3D, and (3) Antão et al by using the UB‐FELA using continuous quadratic velocity fields.…”

“…The factor s q obtained from the present analysis has been compared with the results of (1) Meyerhof and Hansen by using the limit equilibrium method, (2) Michalowski by using the upper bound limit analysis, (3) Zhu and Michalowski by using ABAQUS, and (4) Antão et al on the basis of the UB‐FELA using continuous quadratic velocity fields. The factor s γ has been compared with the numerical solutions of (1) Lyamin et al by using the limit analysis in combination with finite elements and nonlinear optimization, (2) Puzakov et al using FLAC3D, and (3) Antão et al by using the UB‐FELA using continuous quadratic velocity fields. Based on the comparison of results presented in Figure , following observations were made: The shape factors s c and s q reported by Meyerhof and Hansen are found to be very conservative as compared with the present solution.…”

Bearing capacity of square spudcan of jack-up rig based on a three-dimensional failure mechanism

“…The complexity of geometry of the three-dimensional mode of subsoil made it difficult to calculate the volumes of blocks and the areas of surfaces accurately. More recently, this problem has been addressed by many other authors (Michalowski 2001;Zhou et al 2002;Li et al 2004;Lyamin et al 2004;Zhu and Michalowski 2005;Lyamin et al 2007;Teh 2007;Wang et al 2008;Puzakov et al 2009;Antão et al 2012).…”

Three-dimensional active earth pressure coefficients by upper bound numerical limit analysis

“…In addition, the program uses distributed parallel computing techniques which allow large-scale problems to be solved. The sublim3D software was first developed using linear approximations for the velocity field [14] and later using quadratic approximations [16].…”