Nutrient modulated structural design with application to growth and degradation

DOI10.1002/zamm.201400008zbMath1333.74058OpenAlexW1517895499WikidataQ58878445 ScholiaQ58878445MaRDI QIDQ2799072

Bo Torstenfelt, Ganarupan Satha, Anders Klarbring

Publication date: 8 April 2016

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201400008

zbMATH Keywords

topology optimizationnutrientbiological growthstructural damage

Mathematics Subject Classification ID

Biomechanical solid mechanics (74L15) Topological methods for optimization problems in solid mechanics (74P15)

Related Items (1)

Growth of a long bone cross section. A 2D phase-field model

Cites Work

• Unnamed Item
• On some fundamental properties of structural topology optimization problems
• Dynamical systems and topology optimization
• Dynamical systems, SIMP, bone remodeling and time dependent loads
• Strain driven transport for bone modeling at the periosteal surface
• An introduction to structural optimization
• Necessary and sufficient conditions for global stability and uniqueness in finite element simulations of adaptive bone remodeling
• Neurodynamical optimization
• Bounds on the effect of progressive structural degradation
• Differential variational inequalities
• An Optimization Problem for Predicting the Maximal Effect of Degradation of Mechanical Structures

This page was built for publication: Nutrient modulated structural design with application to growth and degradation