Publications - Mulitphysic Simulation & Optimization Lab

19274/PI/14 21996/PI/22 Analysis Applied Mathematics Computational Mathematics Computational Mechanics Computer Graphics and Computer-Aided Design Computer Science Applications Control and Optimization Control and Systems Engineering DICOPMA Dielectric elastomer Dielectric elastomers Electro-active polymer Energy–momentum scheme Evolutionary topology optimization Fail-safe design Finite element method General Engineering General Mathematics Mechanical Engineering Nonlinear electro-elasticity Numerical Analysis Ocean Engineering Phase-field PID2022-141957OA-C22 Polyconvexity Rank-one laminates Software Topology optimisation 
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2023
 Poya, Roman;  Ortigosa, Rogelio;  Kim, Theodore
Geometric Optimisation Via Spectral Shifting Journal Article 
In: ACM Trans. Graph., vol. 42, no. 3, pp. 1–15, 2023, ISSN: 1557-7368.
Abstract | BibTeX | Tags: Computer Graphics and Computer-Aided Design | Links: 
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@article{Poya2023,

title = {Geometric Optimisation Via Spectral Shifting},

author = {Roman Poya and Rogelio Ortigosa and Theodore Kim},

doi = {10.1145/3585003},

issn = {1557-7368},

year  = {2023},

date = {2023-06-30},

urldate = {2023-06-30},

journal = {ACM Trans. Graph.},

volume = {42},

number = {3},

pages = {1--15},

publisher = {Association for Computing Machinery (ACM)},

abstract = {<jats:p>We present a geometric optimisation framework that can recover fold-over free maps from non-injective initial states using popular flip-preventing distortion energies. Since flip-preventing energies are infinite for folded configurations, we propose a new regularisation scheme that shifts the singular values of the deformation gradient. This allow us to re-use many existing algorithms, especially locally injective methods for initially folded maps. Our regularisation is suitable for both singular value- and invariant-based formulations, and systematically contributes multiple stabilisers to the Hessian. In contrast to proxy-based techniques, we maintain second-order convergence. Compact expressions for the energy eigensystems can be obtained for our extended stretch invariants, enabling the use of fast projected Newton solvers. Although spectral shifting in general has no theoretical guarantees that the global minimum is an injection, extensive experiments show that our framework is fast and extremely robust in practice, and capable of generating high-quality maps from severely distorted, degenerate and folded initialisations.</jats:p>},

keywords = {Computer Graphics and Computer-Aided Design},

pubstate = {published},

tppubtype = {article}

}

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<jats:p>We present a geometric optimisation framework that can recover fold-over free maps from non-injective initial states using popular flip-preventing distortion energies. Since flip-preventing energies are infinite for folded configurations, we propose a new regularisation scheme that shifts the singular values of the deformation gradient. This allow us to re-use many existing algorithms, especially locally injective methods for initially folded maps. Our regularisation is suitable for both singular value- and invariant-based formulations, and systematically contributes multiple stabilisers to the Hessian. In contrast to proxy-based techniques, we maintain second-order convergence. Compact expressions for the energy eigensystems can be obtained for our extended stretch invariants, enabling the use of fast projected Newton solvers. Although spectral shifting in general has no theoretical guarantees that the global minimum is an injection, extensive experiments show that our framework is fast and extremely robust in practice, and capable of generating high-quality maps from severely distorted, degenerate and folded initialisations.</jats:p>
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2021
 Ortigosa, Rogelio;  Martínez-Frutos, Jesús
Topology optimisation of stiffeners layout for shape-morphing of dielectric elastomers Journal Article 
In: Struct Multidisc Optim, vol. 64, no. 6, pp. 3681–3703, 2021, ISSN: 1615-1488.
BibTeX | Tags: Computer Graphics and Computer-Aided Design, Computer Science Applications, Control and Optimization, Control and Systems Engineering, DICOPMA, Software | Links: 
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@article{Ortigosa2021c,

title = {Topology optimisation of stiffeners layout for shape-morphing of dielectric elastomers},

author = {Rogelio Ortigosa and Jesús Martínez-Frutos},

doi = {10.1007/s00158-021-03047-2},

issn = {1615-1488},

year  = {2021},

date = {2021-12-00},

urldate = {2021-12-00},

journal = {Struct Multidisc Optim},

volume = {64},

number = {6},

pages = {3681--3703},

publisher = {Springer Science and Business Media LLC},

keywords = {Computer Graphics and Computer-Aided Design, Computer Science Applications, Control and Optimization, Control and Systems Engineering, DICOPMA, Software},

pubstate = {published},

tppubtype = {article}

}

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 Ortigosa, Rogelio;  Martínez-Frutos, Jesús;  Ruiz, David;  Donoso, Alberto;  Bellido, Jose C.
Density-based topology optimisation considering nonlinear electromechanics Journal Article 
In: Struct Multidisc Optim, vol. 64, no. 1, pp. 257–280, 2021, ISSN: 1615-1488.
BibTeX | Tags: Computer Graphics and Computer-Aided Design, Computer Science Applications, Control and Optimization, Control and Systems Engineering, DICOPMA, Software | Links: 
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@article{Ortigosa2021,

title = {Density-based topology optimisation considering nonlinear electromechanics},

author = {Rogelio Ortigosa and Jesús Martínez-Frutos and David Ruiz and Alberto Donoso and Jose C. Bellido},

doi = {10.1007/s00158-021-02886-3},

issn = {1615-1488},

year  = {2021},

date = {2021-07-00},

urldate = {2021-07-00},

journal = {Struct Multidisc Optim},

volume = {64},

number = {1},

pages = {257--280},

publisher = {Springer Science and Business Media LLC},

keywords = {Computer Graphics and Computer-Aided Design, Computer Science Applications, Control and Optimization, Control and Systems Engineering, DICOPMA, Software},

pubstate = {published},

tppubtype = {article}

}

Close