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Machine Learning, Low-Rank Approximations and Reduced Order Modeling in Computational Mechanics

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ISBN: 9783039214099 9783039214105 Year: Pages: 254 DOI: 10.3390/books978-3-03921-410-5 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General) --- General and Civil Engineering
Added to DOAB on : 2019-12-09 11:49:15
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Abstract

The use of machine learning in mechanics is booming. Algorithms inspired by developments in the field of artificial intelligence today cover increasingly varied fields of application. This book illustrates recent results on coupling machine learning with computational mechanics, particularly for the construction of surrogate models or reduced order models. The articles contained in this compilation were presented at the EUROMECH Colloquium 597, « Reduced Order Modeling in Mechanics of Materials », held in Bad Herrenalb, Germany, from August 28th to August 31th 2018. In this book, Artificial Neural Networks are coupled to physics-based models. The tensor format of simulation data is exploited in surrogate models or for data pruning. Various reduced order models are proposed via machine learning strategies applied to simulation data. Since reduced order models have specific approximation errors, error estimators are also proposed in this book. The proposed numerical examples are very close to engineering problems. The reader would find this book to be a useful reference in identifying progress in machine learning and reduced order modeling for computational mechanics.

Keywords

parameter-dependent model --- surrogate modeling --- tensor-train decomposition --- gappy POD --- heterogeneous data --- elasto-viscoplasticity --- archive --- model reduction --- 3D reconstruction --- inverse problem plasticity --- data science --- model order reduction --- POD --- DEIM --- gappy POD --- GNAT --- ECSW --- empirical cubature --- hyper-reduction --- reduced integration domain --- computational homogenisation --- model order reduction (MOR) --- low-rank approximation --- proper generalised decomposition (PGD) --- PGD compression --- randomised SVD --- nonlinear material behaviour --- machine learning --- artificial neural networks --- computational homogenization --- nonlinear reduced order model --- elastoviscoplastic behavior --- nonlinear structural mechanics --- proper orthogonal decomposition --- empirical cubature method --- error indicator --- symplectic model order reduction --- proper symplectic decomposition (PSD) --- structure preservation of symplecticity --- Hamiltonian system --- reduced order modeling (ROM) --- proper orthogonal decomposition (POD) --- enhanced POD --- a priori enrichment --- modal analysis --- stabilization --- dynamic extrapolation --- computational homogenization --- large strain --- finite deformation --- geometric nonlinearity --- reduced basis --- reduced-order model --- sampling --- Hencky strain --- microstructure property linkage --- unsupervised machine learning --- supervised machine learning --- neural network --- snapshot proper orthogonal decomposition

Advances in Mechanical Problems of Functionally Graded Materials and Structures

Authors: --- --- ---
ISBN: 9783039216581 9783039216598 Year: Pages: 262 DOI: 10.3390/books978-3-03921-659-8 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Mathematics
Added to DOAB on : 2019-12-09 11:49:16
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The book deals with novel aspects and perspectives in functionally graded materials (FGMs), which are advanced engineering materials designed for a specific performance or function with spatial gradation in structure and/or composition. The contributions mainly focus on numerical simulations of mechanical properties and the behavior of FGMs and FGM structures. Several advancements in numerical simulations that are particularly useful for investigations on FGMs have been proposed and demonstrated in this Special Issue. Such proposed approaches provide incisive methods to explore and predict the mechanical and structural characteristics of FGMs subjected to thermoelectromechanical loadings under various boundary and environmental conditions. The contributions have resulted in enhanced activity regarding the prediction of FGM properties and global structural responses, which are of great importance when considering the potential applications of FGM structures. Furthermore, the presented scientific scope is, in some way, an answer to the continuous demand for FGM structures, and opens new perspectives for their practical use.

Keywords

functionally graded beams --- different moduli in tension and compression --- bimodulus --- analytical solution --- neutral layer --- quadratic solid–shell elements --- finite elements --- functionally graded materials --- thin structures --- geometrically nonlinear analysis --- functionally graded piezoelectric materials --- circular plate --- combined mechanical loads --- electroelastic solution --- ANFIS --- fuzzy logic --- clustering --- neural networks --- robotics and contact wear --- evanescent wave --- polynomial approach --- functionally graded piezoelectric-piezomagnetic material --- dispersion --- attenuation --- functional graded saturated material --- inhomogeneity --- Love wave --- dispersion --- attenuation --- porous materials --- truncated conical sandwich shell --- metal foam core layer --- non-linear buckling analysis --- orthogonal stiffener --- elastic foundation --- functionally graded plate --- power-law distribution --- high order shear deformation theory --- elastic foundation --- stepped FG paraboloidal shell --- general edge conditions --- spring stiffness technique --- free vibration characteristics --- Lamb wave --- functionally graded viscoelastic material --- minimum module approximation method --- damping coefficient --- functionally graded materials --- finite element analysis --- graded finite elements --- functionally graded materials --- inhomogeneous composite materials --- material design --- stress concentration factor --- failure and damage --- elliptical hole --- finite element method --- hollow disc --- external pressure --- residual stress --- residual strain --- flow theory of plasticity --- functionally graded materials --- elastoplastic analysis --- pure bending --- residual stress --- large strain

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MDPI - Multidisciplinary Digital Publishing Institute (2)


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english (2)


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2019 (2)