A concept for data-driven computational mechanics in the presence of polymorphic uncertain properties

Model-free data-driven simulation of inelastic materials using structured data sets, tangent space information and transition rules

(2022) Kerem Ciftci et al.   COMPUTATIONAL MECHANICS

Finite element solver for data-driven finite strain elasticity

(2021) Auriane Platzer et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A multi-level method for data-driven finite element computations

(2021) Tim Fabian Korzeniowski et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A deep learning driven pseudospectral PCE based FFT homogenization algorithm for complex microstructures

(2021) Alexander Henkes et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Engineering analysis with probability boxes: A review on computational methods

(2021) Matthias G.R. Faes et al.   STRUCTURAL SAFETY

Multilevel surrogate modeling approach for optimization problems with polymorphic uncertain parameters

(2020) Steffen Freitag et al.   INTERNATIONAL JOURNAL OF APPROXIMATE REASONING

A kernel method for learning constitutive relation in data-driven computational elasticity

(2020) Yoshihiro Kanno   JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS

Variational framework for distance-minimizing method in data-driven computational mechanics

(2020) Lu Trong Khiem Nguyen et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Arbitrary polynomial chaos expansion method for uncertainty quantification and global sensitivity analysis in structural dynamics

(2020) Hua-Ping Wan et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

Model-free data-driven computational mechanics enhanced by tensor voting

(2020) Robert Eggersmann et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Data-driven fracture mechanics

(2020) P. Carrara et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Manifold learning based data-driven modeling for soft biological tissues

(2020) Qizhi He et al.   JOURNAL OF BIOMECHANICS

Data-Driven multiscale modeling in mechanics

(2020) K. Karapiperis et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

Operator norm theory as an efficient tool to propagate hybrid uncertainties and calculate imprecise probabilities

(2020) Matthias G.R. Faes et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

Stochastic Multi-Scale Modeling of Carbon Fiber Reinforced Composites with Polynomial Chaos

(2019) Mishal Thapa et al.   COMPOSITE STRUCTURES

A comparison of stochastic and data-driven FEM approaches to problems with insufficient material data

(2019) Tim Fabian Korzeniowski et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Model-Free Data-Driven inelasticity

(2019) R. Eggersmann et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A new reliability-based data-driven approach for noisy experimental data with physical constraints

(2018) Jacobo Ayensa-Jiménez et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Data-based derivation of material response

(2018) Adrien Leygue et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Two-stage data-driven homogenization for nonlinear solids using a reduced order model

(2018) Felix Fritzen et al.   EUROPEAN JOURNAL OF MECHANICS A-SOLIDS

Enhanced uncertain structural analysis with time- and spatial-dependent (functional) fuzzy results

(2018) Marco Götz et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

Data-driven computing in dynamics

(2017) T. Kirchdoerfer et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Uncertainty propagation of p-boxes using sparse polynomial chaos expansions

(2017) Roland Schöbi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Structural reliability analysis for p-boxes using multi-level meta-models

(2017) Roland Schöbi et al.   PROBABILISTIC ENGINEERING MECHANICS

A Manifold Learning Approach to Data-Driven Computational Elasticity and Inelasticity

(2016) Rubén Ibañez et al.   ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING

Data-driven computational mechanics

(2016) T. Kirchdoerfer et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

An efficient metamodeling approach for uncertainty quantification of complex systems with arbitrary parameter probability distributions

(2016) Hua-Ping Wan et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Stochastic multiscale homogenization analysis of heterogeneous materials under finite deformations with full uncertainty in the microstructure

(2015) Juan Ma et al.   COMPUTATIONAL MECHANICS

Analysis of dynamical processes under consideration of polymorphic uncertainty

(2015) W. Graf et al.   STRUCTURAL SAFETY

Analytical uncertainty quantification for modal frequencies with structural parameter uncertainty using a Gaussian process metamodel

(2014) Hua-Ping Wan et al.   ENGINEERING STRUCTURES

A Survey on Parallel Computing and its Applications in Data-Parallel Problems Using GPU Architectures

(2013) Cristóbal A. Navarro et al.   Communications in Computational Physics

A method of two-scale analysis with micro-macro decoupling scheme: application to hyperelastic composite materials

(2013) K. Terada et al.   COMPUTATIONAL MECHANICS

A material description based on recurrent neural networks for fuzzy data and its application within the finite element method

(2013) S. Freitag et al.   COMPUTERS & STRUCTURES

Imprecise probabilities in engineering analyses

(2013) Michael Beer et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

Solutions to problems with imprecise data—An engineering perspective to generalized uncertainty models

(2012) S. Pannier et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

Measurement of Areas on a Sphere Using Fibonacci and Latitude–Longitude Lattices

(2009) Álvaro González   Mathematical Geosciences

Reliability bounds through random sets: Non-parametric methods and geotechnical applications

(2007) Michael Oberguggenberger et al.   COMPUTERS & STRUCTURES