Exploiting Lagrange duality for topology optimization with frictionless unilateral contact
DOI10.1007/s13160-019-00375-1zbMath1432.74188arXiv2011.07732OpenAlexW3106344675MaRDI QIDQ2300950
Publication date: 28 February 2020
Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.07732
topology optimizationLagrange dualitysecond-order cone programmingunilateral contactnonsmooth mechanicsstiffness maximization
Optimality conditions and duality in mathematical programming (90C46) Contact in solid mechanics (74M15) Topological methods for optimization problems in solid mechanics (74P15)
Uses Software
Cites Work
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- Topology optimization of structures in unilateral contact
- Topology optimization of structures with manufacturing and unilateral contact constraints by minimizing an adjustable compliance-volume product
- Efficient topology optimization in MATLAB using 88 lines of code
- A note on the min-max formulation of stiffness optimization including non-zero prescribed displacements
- Optimization of structures in frictional contact
- Topology optimization for minimum mass design considering local failure constraints and contact boundary conditions
- Handbook on semidefinite, conic and polynomial optimization
- Successive linearization methods for nonlinear semidefinite programs
- Sequential semidefinite program for maximum robustness design of structures under load uncertainty
- Friction and instabilities. Lecture notes of an advanced summer school, Udine, Italy, July 3--7, 2000
- Material interpolation schemes in topology optimization
- Optimal prestress of cracked unilateral structures: Finite element analysis of an optimal control problem for variational inequalities.
- Alternating direction method of multipliers for truss topology optimization with limited number of nodes: a cardinality-constrained second-order cone programming approach
- A material derivative approach in design sensitivity analysis of three-dimensional contact problems
- Truss topology optimization including unilateral contact
- Minimization of maximum unilateral force
- Free Material Design via Semidefinite Programming: The Multiload Case with Contact Conditions
- Filters in topology optimization
- A stable 3D contact formulation using X-FEM
- Mechanical design problems with unilateral contact
- Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
- On stiffness maximization of variable thickness sheet with unilateral contact
- Nonsmooth Mechanics and Convex Optimization
- Computational Contact Mechanics
- Convex Analysis
- Topology optimization of nonlinear elastic structures and compliant mechanisms
- Global optimization of trusses with constraints on number of different cross-sections: a mixed-integer second-order cone programming approach
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