Analytical solutions and numerical procedures for minimum-weight Michell structures
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Publication:5930713
DOI10.1016/S0022-5096(00)00053-3zbMath0981.74043MaRDI QIDQ5930713
Publication date: 21 March 2002
Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)
circular arc-based Michell solutionscycloid-based Michell solutionsforce-tree straight framework boundary value problemmatrix operatorsminimum-weight Michell frameworksplane-strain slip-line field theorypower-series method
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Related Items (7)
A general boundary approach to the construction of Michell truss structures ⋮ On the solution of the three forces problem and its application in optimal designing of a class of symmetric plane frameworks of least weight ⋮ On symmetry and non-uniqueness in exact topology optimization ⋮ Geometrical aspects of optimum truss like structures for three-force problem ⋮ Michell cantilevers constructed within trapezoidal domains. I: Geometry of Hencky nets ⋮ Design of an annular disc subject to thermomechanical loading ⋮ Development and validation of a numerical topology optimization scheme for two and three dimensional structures
Cites Work
- A series-method for constructing plastic slipline fields
- On Michell trusses
- A general matrix operator for linear boundary value problems in slip-line field theory
- Optimum sections for given torsional and flexural rigidity
- The algebraic-geometry of slip line fields with applications to boundary value problems
- A matrix technique for constructing slip‐line field solutions to a class of plane strain plasticity problems
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