Topological sensitivity derivative with respect to area, shape and orientation of an elliptic hole in a plate
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Publication:381709
DOI10.1007/s00158-011-0710-3zbMath1274.74318OpenAlexW2068632969MaRDI QIDQ381709
Publication date: 15 November 2013
Published in: Structural and Multidisciplinary Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00158-011-0710-3
Plates (74K20) Topological methods for optimization problems in solid mechanics (74P15) Sensitivity analysis for optimization problems on manifolds (49Q12)
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Shape and topology sensitivity analysis and its application to structural design ⋮ A modified perturbation scheme for structural statics systems with random parameters
Cites Work
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- Energy release rate approximation for small surface-breaking cracks using the topological derivative
- Traditional vs. extended optimality in topology optimization
- Topological sensitivity derivative and finite topology modifications: application to optimization of plates in bending
- Higher order topological derivatives in elasticity
- Shape and topology sensitivity analysis for cracks in elastic bodies on boundaries of rigid inclusions
- On energy changes due to the formation of a circular hole in an elastic plate
- Variational approach by means of adjoint systems to structural optimization and sensitivity analysis. II. Structure shape variation
- On a class of conservation rules associated with sensitivity analysis in linear elasticity
- Topological sensitivity analysis
- Asymptotic analysis of shape functionals
- Incorporating topological derivatives into level set methods.
- Structural optimization using sensitivity analysis and a level-set method.
- Shape sensitivity analysis for energy release rate evaluation and its application to the study of three-dimensional cracked bodies
- Shape sensitivity analysis in linear elastic fracture mechanics
- The shape and topological optimizations' connection
- Reconstruction of small inhomogeneities from boundary measurements
- Crack nucleation sensitivity analysis
- Polarization matrices in anisotropic heterogeneous elasticity
- On the Topological Derivative in Shape Optimization
- Optimality Conditions for Simultaneous Topology and Shape Optimization
