Optimal shape design in biomimetics based on homogenization and adaptivity
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Publication:1826579
DOI10.1016/j.matcom.2004.01.002zbMath1106.74390OpenAlexW2068562817MaRDI QIDQ1826579
Svetozara I. Petrova, Ronald H. W. Hoppe
Publication date: 6 August 2004
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2004.01.002
Nonlinear programming (90C30) Numerical optimization and variational techniques (65K10) Classical linear elasticity (74B05) Homogenization in equilibrium problems of solid mechanics (74Q05) Optimization of shapes other than minimal surfaces (49Q10)
Related Items (4)
Elasto-plasticity model in structural optimization of composite materials with periodic microstructures ⋮ Numerical Homogenization of Heterogeneous Anisotropic Linear Elastic Materials ⋮ Review of formulations for structural and mechanical system optimization ⋮ Numerical Homogenization of Epoxy-Clay Composite Materials
Cites Work
- On the convergence of multi-grid methods with transforming smoothers
- Adaptive finite element methods for shape optimization of linearly elastic structures
- Generating optimal topologies in structural design using a homogenization method
- A homogenization method for shape and topology optimization
- Primal-dual Newton-type interior-point method for topology optimization
- On the formulation and theory of the Newton interior-point method for nonlinear programming
- A simple error estimator and adaptive procedure for practical engineerng analysis
- An Interior Point Algorithm for Large-Scale Nonlinear Programming
- Interior Methods for Nonlinear Optimization
- Averaging technique for FE -- a posteriori error control in elasticity. I: Conforming FEM
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