Static upper/lower thrust and kinematic work balance stationarity for least-thickness circular masonry arch optimization
DOI10.1007/s10957-020-01772-0zbMath1492.74127OpenAlexW3108208753MaRDI QIDQ2025705
Giuseppe Cocchetti, Egidio Rizzi
Publication date: 14 May 2021
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-020-01772-0
complementarity problem/mathematical programming formulationCouplet-Heyman problemminimum thicknesspurely rotational collapse modesymmetric circular masonry arch
Applications of mathematical programming (90C90) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Compliance or weight optimization in solid mechanics (74P05)
Cites Work
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- The effect of stereotomy on the shape of the thrust-line and the minimum thickness of semicircular masonry arches
- Complementarity problems in structural engineering: an overview
- As hangs the flexible line: equilibrium of masonry arches
- Milankovitch's \textit{Theorie der Druckkurven}: Good mechanics for masonry architecture
- Equilibrium and collapse analysis of masonry bodies
- Nonconvex optimization in mechanics. Algorithms, heuristics and engineering applications by the F. E. M
- On a case of crack path bifurcation in cohesive materials
- A smoothing method for mathematical programs with equilibrium constraints
- On the collapse of masonry arches
- Elastic-plastic and limit-state analyses of frames with softening plastic-hinge models by mathematical programming
- Limit analysis of frictional block assemblies as a mathematical program with complementarity constraints
- Shakedown limit theorems for frictional contact on a linear elastic body
- Thrust line analysis and the minimum thickness of pointed masonry arches
- A new numerical approach for determining optimal thrust curves of masonry arches
- Limit equilibrium analysis and the minimum thickness of circular masonry arches to withstand lateral inertial loading
- A minimum principle for incremental elastoplasticity with non-associated flow laws
- Direct assessment of structural resistance against pressurized fracture
- The role of frictional contact of constituent blocks on the stability of masonry domes
- Review of validation of the discontinuous deformation analysis (DDA) method
- Mathematical Programs with Equilibrium Constraints