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High performance reduced order modeling techniques based on optimal energy quadrature: application to geometrically non-linear multiscale inelastic material modeling
- Source :
- UPCommons. Portal del coneixement obert de la UPC, Universitat Politècnica de Catalunya (UPC), Recercat. Dipósit de la Recerca de Catalunya, instname, Scipedia Open Access, Scipedia SL
- Publication Year :
- 2019
-
Abstract
- A High-Performance Reduced-Order Model (HPROM) technique, previously presented by the authors in the context of hierarchical multiscale models for non linear-materials undergoing infinitesimal strains, is generalized to deal with large deformation elasto-plastic problems. The proposed HPROM technique uses a Proper Orthogonal Decomposition procedure to build a reduced basis of the primary kinematical variable of the micro-scale problem, defined in terms of the micro-deformation gradient fluctuations. Then a Galerkin-projection, onto this reduced basis, is utilized to reduce the dimensionality of the micro-force balance equation, the stress homogenization equation and the effective macro-constitutive tangent tensor equation. Finally, a reduced goal-oriented quadrature rule is introduced to compute the non-affine terms of these equations. Main importance in this paper is given to the numerical assessment of the developed HPROM technique. The numerical experiments are performed on a micro-cell simulating a randomly distributed set of elastic inclusions embedded into an elasto-plastic matrix. This micro-structure is representative of a typical ductile metallic alloy. The HPROM technique applied to this type of problem displays high computational speed-ups, increasing with the complexity of the finite element model. From these results, we conclude that the proposed HPROM technique is an effective computational tool for modeling, with very large speed-ups and acceptable accuracy levels with respect to the high-fidelity case, the multiscale behavior of heterogeneous materials subjected to large deformations involving two well-separated scales of length. Fil: Caicedo, Manuel. Centre Internacional de Mètodes Numèrics En Enginyeria(cimne); Fil: Mroginski, Javier Luis. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina Fil: Toro, Sebastian. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina Fil: Raschi, Marcelo. Centre Internacional de Mètodes Numèrics En Enginyeria(cimne); Fil: Huespe, Alfredo Edmundo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina Fil: Oliver, Javier. Centre Internacional de Mètodes Numèrics En Enginyeria(cimne); . Universidad Politécnica de Catalunya; España
- Subjects :
- Engineering, Civil
Computer science
Engineering, Multidisciplinary
Enginyeria civil::Materials i estructures [Àrees temàtiques de la UPC]
INGENIERÍAS Y TECNOLOGÍAS
02 engineering and technology
01 natural sciences
Homogenization (chemistry)
symbols.namesake
Ingeniería de los Materiales
COMPDESMAT Project
0202 electrical engineering, electronic engineering, information engineering
Applied mathematics
Engineering, Ocean
0101 mathematics
Otras Ciencias de la Computación e Información
Engineering, Aerospace
Engineering, Biomedical
Multiscale Modeling
Reduced Order Quadrature (ROQ)
Applied Mathematics
Tangent
Computer Science, Software Engineering
Computational Homogenization
Multiscale modeling
Engineering, Marine
Finite element method
Computer Science Applications
Engineering, Manufacturing
Engineering, Mechanical
010101 applied mathematics
Nonlinear system
Alloys--Mathematical models
Aliatges -- Propietats mecàniques
Ciencias de la Computación e Información
COMP-DES-MAT Project
Engineering, Industrial
Balance equation
symbols
Gaussian quadrature
020201 artificial intelligence & image processing
High-Performance Reduced Order Modeling (HPROM)
CIENCIAS NATURALES Y EXACTAS
Curse of dimensionality
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- UPCommons. Portal del coneixement obert de la UPC, Universitat Politècnica de Catalunya (UPC), Recercat. Dipósit de la Recerca de Catalunya, instname, Scipedia Open Access, Scipedia SL
- Accession number :
- edsair.doi.dedup.....6e59db47f4b89bfc3a11c59c48129c2f