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Athanasios Makrodimopoulos

University of Oxford

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Optimization Methods & Software | 2005

Second-order cone programming approaches to static shakedown analysis in steel plasticity

C.D. Bisbos; Athanasios Makrodimopoulos; Panos M. Pardalos

The finite element method discretized static shakedown analysis of steel constructions leads to large, sparse convex optimization problems. Under the von Mises yield criterion, they lead to second-order cone programming problems, for which the most appropriate techniques are Interior Point Methods. Various approaches exploiting the specific characteristics of the shakedown problems are presented and discussed.

International Journal for Numerical Methods in Engineering | 2006

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

Athanasios Makrodimopoulos; C. M. Martin

International Journal for Numerical and Analytical Methods in Geomechanics | 2007

Upper bound limit analysis using simplex strain elements and second-order cone programming

Athanasios Makrodimopoulos; C. M. Martin

Communications in Numerical Methods in Engineering | 2007

Upper bound limit analysis using discontinuous quadratic displacement fields

Athanasios Makrodimopoulos; C. M. Martin

Mechanics Research Communications | 2006

Computational formulation of shakedown analysis as a conic quadratic optimization problem

Athanasios Makrodimopoulos

International Journal for Numerical Methods in Biomedical Engineering | 2010

Remarks on some properties of conic yield restrictions in limit analysis

Athanasios Makrodimopoulos

Journal of Engineering Mechanics-asce | 2008

Finite element limit analysis of Mohr-Coulomb materials in 3D using semidefinite programming

C. M. Martin; Athanasios Makrodimopoulos

Structural and Multidisciplinary Optimization | 2010

Second-order cone programming formulations for a class of problems in structural optimization

Athanasios Makrodimopoulos; Atul Bhaskar; Andy J. Keane

Archive | 2005

Limit analysis using large-scale SOCP optimization

Athanasios Makrodimopoulos; C. M. Martin

Structural and Multidisciplinary Optimization | 2010

A compliance based design problem of structures under multiple load cases

Athanasios Makrodimopoulos; Atul Bhaskar; Andy J. Keane

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C. M. Martin

University of Oxford

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Andy J. Keane

University of Southampton

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Atul Bhaskar

University of Southampton

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C.D. Bisbos

Aristotle University of Thessaloniki

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Panos M. Pardalos

University of Florida

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