An optimal size of a rigid thin stiffener reinforcing an elastic two-dimensional body on the outer edge
From MaRDI portal
Publication:1670112
DOI10.1007/s10957-018-1291-8zbMath1401.49012OpenAlexW2802795257MaRDI QIDQ1670112
Nyurgun Lazarev, Galina Semenova
Publication date: 4 September 2018
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-018-1291-8
Variational inequalities (49J40) Brittle fracture (74R10) Existence theories for optimal control problems involving partial differential equations (49J20) Qualitative behavior of solutions of equilibrium problems in solid mechanics (74G55)
Related Items
Optimal control of a thin rigid stiffener for a model describing equilibrium of a Timoshenko plate with a crack, Optimal control of the crack angle in the equilibrium problem for a Timoshenko plate with elastic inclusion, Elasticity tensor identification in elastic body with thin inclusions: non-coercive case, A contact of two elastic plates connected along a thin rigid inclusion, Equilibrium problem for an thermoelastic Kirchhoff-Love plate with a nonpenetration condition for known configurations of crack edges, Equilibrium problems for Kirchhoff–Love plates with nonpenetration conditions for known configurations of crack edges, Optimal control of parameters for elastic body with thin inclusions, Optimal location of a thin rigid inclusion for a problem describing equilibrium of a composite Timoshenko plate with a crack, On a Limiting Passage as the Thickness of a Rigid Inclusions in an Equilibrium Problem for a Kirchhoff-Love Plate with a Crack
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Control of crack propagation by shape-topological optimization
- Fictitious domain method for an equilibrium problem of the Timoshenko-type plate with a crack crossing the external boundary at zero angle
- Topological sensitivity derivative and finite topology modifications: application to optimization of plates in bending
- Shape control of thin rigid inclusions and cracks in elastic bodies
- The influence of two-point statistics on the Hashin-Shtrikman bounds for three phase composites
- An introduction to computational micromechanics.
- The stress concentration near a rigid line inclusion in a prestressed, elastic material. II: Implications on shear band nucleation, growth and energy release rate
- Structural optimization. Vol. 1: Optimality criteria
- Solution of variational inequalities in mechanics
- Shape sensitivity of curvilinear cracks on interface to nonlinear perturbations
- A Shape-Topological Control Problem for Nonlinear Crack-Defect Interaction: The Antiplane Variational Model
- Junction problem for Euler-Bernoulli and Timoshenko elastic inclusions in elastic bodies
- On Timoshenko thin elastic inclusions inside elastic bodies
- Optimal control of the layer size in the problem of equilibrium of elastic bodies with overlapping domains
- On delaminated thin Timoshenko inclusions inside elastic bodies
- Stress-strain state near the tip of a perfectly rigid three-dimensional spike introduced into an elastic body
- Variational and Hemivariational Inequalities in Mechanics of Elastoplastic, Granular Media, and Quasibrittle Cracks
