Bearing capacity factors of cone‐shaped footing in meshfree

Abstract

Unlike the flat base foundations, the determination of the bearing resistance of the cone-shaped footing in finite element analysis (FEA) might not be carried out without considering the interface model. In addition, the simulations of the FEA is hardly achieved with a large system due to the assembly technique. So, the alternative should be considered. Therefore, this paper proposes a new method for computing the 𝑁 𝑐 , 𝑁 𝑞 and 𝑁 𝛾 factors of the bearing capacity of the rough and smooth cone-shaped foundations by combining the skew boundary condition as the interface model incorporated with the viscoplastic strain method-based meshfree obeying the yield equation of the Mohr-Coulomb (MC). Thus, the factors can be determined exclusively and reported to reach a close agreement with the published data; nevertheless, the discrepancies are also provided. The plastic flow of the soil mechanics is discussed thoroughly. In addition, the effects of soil friction angle (𝜙) and cone-shaped angle (𝛽) on the factors are inspected systematically. Accordingly, the conservation of the Terzaghi's superposition assumption is confirmed, and the bearing capacity factor charts can be established for various combinations of 𝜙 = 5 o -45 o and 𝛽 = 30 o -180 o . Therefore, it may conclude that the results produced by these techniques and the techniques themselves may be applied confidently for solving geotechnical problems, especially for computing the bearing resistance of the soil.

Eigensensitivity of damped system with distinct and repeated eigenvalues by chain rule

“…Moreover, this proposed method is simple and easy to implement and build the in-house codes in combination with the finite element method, which has been proven to be an efficient method for solving the elastic and plastic problems in structure and geomechanics. [40][41][42][43][44][45]…”

“…As a result, by utilizing Equations (41) or (42), the chain rule technique can be applied, and consequently, the eigenvector sensitivities can be easily computed. Moreover, this proposed method is simple and easy to implement and build the in‐house codes in combination with the finite element method, which has been proven to be an efficient method for solving the elastic and plastic problems in structure and geomechanics 40–45 …”

An Analytical Expression for the Fundamental Frequency of a Long Free-Spanning Submarine Pipeline

“…In addition, for such long free-spanning pipes (i.e., L D > 140), DNVGL-RP-F105 Sect. 6.8 [24] recommends employing the finite element method (FEM), which is widely recognized to be an effective method of solving geotechnical [39,40] and structural [41] engineering problems. In this sense, the three-dimensional (3D) FEM-based pipeline free span analysis is usually performed in Abaqus, Reflex, Offpipe, OrcaFlex, etc.…”