Direct approach to the minimization of the maximal stress over an arch structure
From MaRDI portal
Publication:1265018
DOI10.1023/A:1022685908429zbMath0914.73038OpenAlexW6883347MaRDI QIDQ1265018
Publication date: 10 June 1999
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1022685908429
shape optimizationsubgradientadjoint state methodlinear elastic thin shell theorypointwise stress minimization problemsubdifferentiability of maximal stress cost
Optimization of other properties in solid mechanics (74P10) Membranes (74K15) Optimization problems in solid mechanics (74P99)
Related Items
The optimal design of an arch girder of variable curvature and stiffness by means of control theory ⋮ Optimal control of flow with discontinuities. ⋮ Differential formulation and numerical solution for elastic arches with variable curvature and tapered cross-sections
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A classification of thin shell theories
- An interpretation for min-max structural design problems including a method for relaxing constraints
- Proximity control in bundle methods for convex nondifferentiable minimization
- Design sensitivity for arch structures with respect to midsurface shape under static loading
- Lectures on optimization - theory and algorithms. Notes by M. K. V. Murthy
- Approximation of general arch problems by straight beam elements
- Nondifferentiable Optimization Problems for Elliptic Systems
- Optimization and nonsmooth analysis
- A Version of the Bundle Idea for Minimizing a Nonsmooth Function: Conceptual Idea, Convergence Analysis, Numerical Results
- On the Optimal Design of Columns Against Buckling
- Semismooth and Semiconvex Functions in Constrained Optimization