Second-order cone programming approaches to static shakedown analysis in steel plasticity
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Publication:5312754
DOI10.1080/1055678042000216003zbMath1068.90099OpenAlexW2143148534MaRDI QIDQ5312754
Athanasios Makrodimopoulos, C. D. Bisbos, Panos M. Pardalos
Publication date: 25 August 2005
Published in: Optimization Methods and Software (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/1055678042000216003
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Cites Work
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- Solving semidefinite-quadratic-linear programs using SDPT3
- Dual extremum principles in finite deformation elastoplastic analysis
- On the influence of geometrical nonlinearities on the shakedown of elastic-plastic structures
- Applications of second-order cone programming
- Extended bounding theorems for nonlinear limit analysis
- Alternative approach to shakedown as a solution of a min-max problem
- Shakedown with nonlinear strain-hardening including structural computation using finite element method
- Theoretical and computational aspects in the shakedown analysis of finite elastoplasticity
- Shakedown state simulation techniques based on linear elastic solutions
- Topics in semidefinite and interior-point methods
- Shakedown and steady-state responses of elastic-plastic solids in large displacements
- Second-order cone programming
- On implementing a primal-dual interior-point method for conic quadratic optimization
- An independent benchmarking of SDP and SOCP solvers
- Inelastic analysis of structures under variable loads: Theory and engineering applications. Papers elaborated in the sequel of the European mechanics (EUROMECH)-colloquium 385, Aachen, October 1998.
- Shakedown limits for a general yield condition: Implementation and application for a von Mises yield condition
- An algorithm for shakedown analysis with nonlinear yield functions
- Limit analysis with the dual affine scaling algorithm
- Shakedown theorems for some classes of nonassociative hardening elastic-plastic material models
- Shakedown theory in perfect elastoplasticity with associated and nonassociated flow-laws: A finite element linear programming approach
- An iteration algorithm for kinematic shakedown analysis
- Lectures on Modern Convex Optimization
- Geometric nonlinearity: potential energy, complementary energy, and the gap function
- On Some Issues in Shakedown Analysis
- Self-Scaled Barriers and Interior-Point Methods for Convex Programming
- Primal-Dual Interior-Point Methods for Self-Scaled Cones
- Computing Limit Loads by Minimizing a Sum of Norms
- Implementation of interior point methods for mixed semidefinite and second order cone optimization problems
- Optimal Magnetic Shield Design with Second-Order Cone Programming
- A convergence analysis of the scaling-invariant primal-dual path-following algorithms for second-order cone programming
- Large‐deformation and friction analysis of non‐linear elastic cable networks by second‐order cone programming
- A general non-linear optimization algorithm for lower bound limit analysis
- Semidefinite Programming
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