Lower bound limit analysis of cohesive‐frictional materials using second‐order cone programming

By A. Makrodimopoulos, C. Martin. 2006

435 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Safety, Risk, Reliability and Quality, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/7a78302c7231df98b49b953b4ee741e0972285da

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Citations in the corpus

Second-Order Cone and Semidefinite Representations of Material Failure Criteria (2007, methodology): “Limit analysis obeying the Mohr-Coulomb criterion under plane strain conditions has been studied as a SOCP problem in [54].”
Upper bound limit analysis using simplex strain elements and second‐order cone programming (2007, methodology): “The lower bounds obtained in [3], namely p = 1.”
Upper and lower bounds in limit analysis: Adaptive meshing strategies and discontinuous loading (2009, methodology): “Flexible strip footing This problem has been widely studied elsewhere [7, 8, 11, 12, 17, 18, 23, 29], but it is analysed here to show that the mesh strategies MS2–MS4 converge to the theoretical load factor satisfactorily due to the introduction of a fan-type mesh around the point with the surface l”
Lower bound limit analysis of an anisotropic undrained strength criterion using second‐order cone programming (2018, result): “Similar observation of iteration counts was also reported by Makrodimopoulos and Martin,(9) which is characteristic of algorithms based on the interior‐point method.(9) In contrast, the number of iteration counts of LP increases as the problem size increases, which is clearly seen in the case of tun”
Numerical lower bound shakedown analysis of engineering structures (2011, neutral): “in [22–25].”
Limit analysis of masonry vaults by means of curved shell finite elements and homogenization (2008, methodology): “Engineering approaches based on the solution of a suitable non-linear field problem on the unit cell have been presented, for instance, by Pegon and Anthoine (1997) and Massart et al. (2004) in order to apply homogenization concepts also in the inelasticrange.”
A cell‐based smoothed finite element method for kinematic limit analysis (2010, neutral): “142 – Static Makrodimopoulos & Martin [60] 5.”
Second-order cone programming formulation for consolidation analysis of saturated porous media (2016, neutral): “In addition to these major advantages, the proposed consolidation formulation allows a variety ofmechanics problems to be tackled using the same solver; including, for example, computational limit analysis of solids and plates [19,27,58,60], static/dynamic analysis of elastoplastic frames and solids”