Optimality conditions in the problem of seeking the hole shapes in elastic bodies
From MaRDI portal
Publication:1255356
DOI10.1016/0021-8928(77)90179-4zbMath0401.73030OpenAlexW1643425276WikidataQ115441331 ScholiaQ115441331MaRDI QIDQ1255356
Publication date: 1979
Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8928(77)90179-4
Plates (74K20) Stress concentrations, singularities in solid mechanics (74G70) Plastic materials, materials of stress-rate and internal-variable type (74C99)
Related Items
Minimizing the stressed state of a plate with a hole and cracks, Microstructures minimizing the energy of a two-phase elastic composite in two space dimensions. II: The Vigdergauz microstructure, Conception optimale ou identification de formes, calcul rapide de la dérivée directionnelle de la fonction coût, A mixed problem of plate bending for a regular octagon weakened with a required full-strength hole, Shape optimization in laminated composite plates, Solution of a problem of plane theory of elasticity for a square domain with a partially unknown boundary, A mixed problem of plane elasticity theory for a multiply connected domain with partially unknown boundary: the case of a rhombus, On one contact problem of plane elasticity for a doubly connected domain: application to a hexagon, A gradient-based, parameter-free approach to shape optimization, Solution of one mixed problem of plate bending for a domain with partially unknown boundary, Inverse problem of elasticity for a plate weakened by hole and cracks, On Sets of Multiple Equally Strong Holes in an Infinite Elastic Plate: Parameterization and Existence, Optimality conditions in axisymmetric problems of elasticity theory, The inverse problem of the two-dimensional theory of elasticity in the hydrodynamic formulation, Optimal design problems for two-phase conducting composites with weakly discontinuous objective functionals, General case of contact problems for a regular polygon weakened with full-strength hole
Cites Work
- Inverse problems of the plane theory of elasticity
- Minimum-weight design of multi-purpose cylindrical bars
- Optimization of elastic bars in torsion
- On a variational problem with unknown boundaries and the determination of optimal shapes of elastic bodies
- On the role of constant-stress surfaces in the problem of minimizing elastic stress concentration
- On the solution of certain problems with an unknown boundary in the theory of elasticity and plasticity
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item