An efficient numerical method for computing the topological sensitivity of arbitrary-shaped features in plate bending

DOI10.1002/nme.2637zbMath1176.74144OpenAlexW2157003596MaRDI QIDQ3649871

Krishnan Suresh, Inna Turevsky, Sankara Hari Gopalakrishnan

Publication date: 7 December 2009

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.2637

zbMATH Keywords

FEAdesign optimizationKirchhoff-Love platestopological sensitivity

Mathematics Subject Classification ID

Plates (74K20) Topological methods for optimization problems in solid mechanics (74P15)

Related Items

Efficient generation of large-scale Pareto-optimal topologies, Second-order defeaturing error estimation for multiple boundary features, CAD Model Simplification Error Estimation for Electrostatics Problems, A goal-oriented error estimator for the analysis of simplified designs, Topological derivatives of shape functionals. II: First-order method and applications, A Numerical Framework to Simplify CAD Models for Reliable Estimates of Physical Quantities, Topological derivative for multi-scale linear elasticity models applied to the synthesis of microstructures, Development of Pareto topology optimization considering thermal loads

Uses Software

• COMSOL

Cites Work

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• Topological sensitivity analysis
• Asymptotic analysis of shape functionals
• Reconstruction of small inhomogeneities from boundary measurements
• Optimum design of plate structures with frequency constraints
• Optimal shape remodelling of linearly elastic plates using finite element methods
• Accurate reanalysis of structures by a preconditioned conjugate gradient method
• A universal method for structural static reanalysis of topological modifications