Explicit parametric solutions of lattice structures with proper generalized decomposition (PGD), applications to the design of 3D-printed architectured materials

DOI10.1007/s00466-017-1534-9zbMath1459.74152OpenAlexW2783742674WikidataQ113327294 ScholiaQ113327294MaRDI QIDQ1624405

Ferdinando Auricchio, Alberto Sibileau, Alberto García-González, Simone Morganti, Pedro Díez

Publication date: 16 November 2018

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-017-1534-9

zbMATH Keywords

proper generalized decomposition3D printingarchitectured materialsexplicit parametric solutionparametric lattice structure

Mathematics Subject Classification ID

Homogenization in equilibrium problems of solid mechanics (74Q05) Compliance or weight optimization in solid mechanics (74P05)

Related Items (6)

Non-incremental response evaluation in geometrically nonlinear structural dynamics using a space-time stiffness operator ⋮ A proper generalized decomposition (PGD) approach to crack propagation in brittle materials: with application to random field material properties ⋮ Proper generalized decomposition solutions for composite laminates parametrized with fibre orientations ⋮ Nonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAM ⋮ A Newmark space-time formulation in structural dynamics ⋮ Nonintrusive parametric solutions in structural dynamics

Cites Work

• Recent advances and new challenges in the use of the proper generalized decomposition for solving multidimensional models
• An error estimator for separated representations of highly multidimensional models
• Derivation of the in-plane elastic characteristics of masonry through homogenization theory
• Materials with prescribed constitutive parameters: An inverse homogenization problem
• Effective properties of composite materials with periodic microstructure: A computational approach
• Proper generalized decomposition for parameterized Helmholtz problems in heterogeneous and unbounded domains: application to harbor agitation
• Proper generalized decomposition of a geometrically parametrized heat problem with geophysical applications

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