Imperial College London
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ProfessorMatthewSanter

Faculty of Engineering, Department of Aeronautics

Professor of Aerospace Structures
 
 
 
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Contact

 

+44 (0)20 7594 5117m.santer

 
 
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Location

 

335City and Guilds BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Thillaithevan:2020:10.1007/s00158-020-02723-z,
author = {Thillaithevan, D and Bruce, P and Santer, M},
doi = {10.1007/s00158-020-02723-z},
journal = {Structural and Multidisciplinary Optimization: computer-aided optimal design of stressed solids and multidisciplinary systems},
pages = {721--740},
title = {Stress constrained optimization using graded lattice microstructures},
url = {http://dx.doi.org/10.1007/s00158-020-02723-z},
volume = {63},
year = {2020}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - In this work we propose a novel method for predicting stress within a multiscale lattice optimization framework. On the microscale, a scalable stress is captured for each microstructure within a large, full factorial design of experiments. A multivariate polynomial response surface model is used to represent the microstructure material properties. Unlike the traditional solid isotropic material with a penalisation based stress approach of penalising stress values or using the homogenized stress, we propose the use of real microscale stress components with macroscale strains through linear superposition. To examine the accuracy of the multiscale stress method, full-scale finite element simulations with non-periodic boundary conditions were performed. Using a range of microstructure gradings, it was determined that 6 layers of microstructures were required to achieve periodicity within the full-scale model. The effectiveness of the multiscale stress model was then examined. Using various graded structures and two load cases, our methodology was shown to replicate the von Mises stress in the centre of the unit lattice cells to within 10\% in the majority of the test cases. Finally, three stress-constrained optimization problems were solved to demonstrate the effectiveness of the method. Two stress constrained weight minimization problems were demonstrated, alongside a stress constrained target deformation problem. In all cases, the optimizer was able to sufficiently reduce the objective while respecting the imposed stress constraint.
AU  - Thillaithevan,D
AU  - Bruce,P
AU  - Santer,M
DO  - 10.1007/s00158-020-02723-z
EP  - 740
PY  - 2020///
SN  - 1615-147X
SP  - 721
TI  - Stress constrained optimization using graded lattice microstructures
T2  - Structural and Multidisciplinary Optimization: computer-aided optimal design of stressed solids and multidisciplinary systems
UR  - http://dx.doi.org/10.1007/s00158-020-02723-z
UR  - https://link.springer.com/article/10.1007%2Fs00158-020-02723-z
UR  - http://hdl.handle.net/10044/1/81631
VL  - 63
ER  -
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