Assessment of the edge-based smoothed finite element method for dynamic analysis of the multi-phase magneto-electro-elastic structures

Authors: Jiang, Zhilong, Gui, Qiang, Li, Wei, Chai, Yingbin

Source: Engineering Analysis with Boundary Elements. 163:94-107

Subject Terms: multi-physics field, Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory, Finite element methods applied to problems in solid mechanics, magneto-electro-elastic materials, edge-based smoothed finite element method, Electromagnetic effects in solid mechanics, smart materials, Stochastic and other probabilistic methods applied to problems in solid mechanics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, dynamic analysis

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A particle-based computational framework for damage assessment in a concrete dam-reservoir system under seismic loading

Authors: Jana, Tapan, Shaw, Amit, Ramachandra, L. S.

Source: Engineering Analysis with Boundary Elements. 163:531-548

Subject Terms: concrete dam fracture, smoothed particle hydrodynamics, sponge layer, Stochastic and other probabilistic methods applied to problems in solid mechanics, particle-based method, Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs, Geophysical solid mechanics, Koyna earthquake, pseudo-spring

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Image-based inverse characterization of in-situ microscopic composite properties

Authors: Su, Zimu, Carvalho, Nelson, Czabaj, Michael W., Oskay, Caglar

Source: Computational Mechanics. 74:763-778

Subject Terms: template matching, statistical consistency, noise effect, statistical inference theory, Micromechanics of solids, Stochastic and other probabilistic methods applied to problems in solid mechanics, digital image correlation, spatial variability, Composite and mixture properties, Optimization of other properties in solid mechanics, optimization problem

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Access URL: https://zbmath.org/7937075
https://doi.org/10.1007/s00466-024-02454-8

A Poisson–Voronoi-based finite element stress analysis of resonating polysilicon micromachines: A Poisson-Voronoi-based finite element stress analysis of resonating polysilicon micromachines

Authors: Rui Xu, Kyriakos Komvopoulos

Source: Acta Mechanica. 234:6705-6721

Subject Terms: material damping, Finite element methods applied to problems in solid mechanics, Vibrations in dynamical problems in solid mechanics, Micromechanics of solids, probabilistic stress analysis, Anisotropy in solid mechanics, Stochastic and other probabilistic methods applied to problems in solid mechanics, polycrystalline microstructure, local inhomogeneity, anisotropy, Crystalline structure, Poisson-Voronoi diagram

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Electro-mechanical coupling properties of band gaps in an elastic/piezoelectric phononic crystal nonlocal nanobeam with periodically attached 'spring-mass' resonators: Electro-mechanical coupling properties of band gaps in an elastic/piezoelectric phononic crystal nonlocal nanobeam with periodically attached ``spring-mass'' resonators

Authors: Zhang, Jian, Qian, Deng-hui, Ren, Long, Wang, Qi

Source: Applied Mathematics-A Journal of Chinese Universities. 38:429-443

Subject Terms: Electromagnetic effects in solid mechanics, locally resonant mechanism, electro-mechanical coupling effect, nonlocal effect, Stochastic and other probabilistic methods applied to problems in solid mechanics, phononic crystal nanobeam

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Access URL: https://zbmath.org/7754478
https://doi.org/10.1007/s11766-023-4576-0

Uncertainty propagation, entropy, and relative entropy in the homogenization of some particulate composites

Authors: Marcin Kamiński

Source: International Journal for Numerical Methods in Engineering. 124:3834-3851

Subject Terms: Finite element methods applied to problems in solid mechanics, 0203 mechanical engineering, finite element method, iterative generalized stochastic perturbation technique, 0211 other engineering and technologies, Stochastic and other probabilistic methods applied to problems in solid mechanics, probabilistic semi-analytical method, probabilistic entropy, 02 engineering and technology, Composite and mixture properties, effective tensor, Effective constitutive equations in solid mechanics

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A direct solution method for generalized stochastic eigenvalue problems of structures with random parameters

Authors: Zhiping Qiu, Nan Jiang

Source: International Journal for Numerical Methods in Engineering. 124:1547-1563

Subject Terms: orthotropic laminated plate, Vibrations in dynamical problems in solid mechanics, Random structure in solid mechanics, Kronecker product, nine-bar plane truss, 0211 other engineering and technologies, Stochastic and other probabilistic methods applied to problems in solid mechanics, mean value, 02 engineering and technology, Rods (beams, columns, shafts, arches, rings, etc.), Plates, variance, 0201 civil engineering

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Investigations on the influence of the boundary conditions when computing the effective crack energy of random heterogeneous materials using fast marching methods

Authors: Felix Ernesti, Jonas Lendvai, Matti Schneider

Source: Computational Mechanics, 71 (2), 277–293

Subject Terms: ddc:620, Francfort-Marigo model, stochastic homogenization, alternating direction method of multipliers, representative volume element, 02 engineering and technology, 01 natural sciences, brittle fracture, anti-plane shear, Numerical and other methods in solid mechanics, 0203 mechanical engineering, Brittle fracture, Homogenization, determination of effective properties in solid mechanics, Stochastic and other probabilistic methods applied to problems in solid mechanics, 0101 mathematics, finite size microstructure cell, Engineering & allied operations, Bauwissenschaften

File Description: application/xml; application/pdf

Access URL: https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&origin=inward&scp=85140843465
https://doi.org/10.1007/s00466-022-02241-3

Strain Measures and Energies for Crimped Fibres and Novel Analytical Expressions for Fibre Populations: Ingredients for Structural Fibre Network Models: Strain measures and energies for crimped fibres and novel analytical expressions for fibre populations: ingredients for structural fibre network models

Authors: Christian Bleiler, Oliver Röhrle

Source: Journal of Elasticity. 150:401-448

Subject Terms: 0301 basic medicine, collagen fibre population, 03 medical and health sciences, 0206 medical engineering, Nonlinear elasticity, probability density function, Stochastic and other probabilistic methods applied to problems in solid mechanics, 02 engineering and technology, Composite and mixture properties, Hencky energy, logarithmic strain

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Access URL: https://zbmath.org/7577047
https://doi.org/10.1007/s10659-022-09920-5

Gaussian process regression + deep neural network autoencoder for probabilistic surrogate modeling in nonlinear mechanics of solids

Authors: Saurabh Deshpande, Hussein Rappel, Mark Hobbs, Stéphane P.A. Bordas, Jakub Lengiewicz

Source: Computer Methods in Applied Mechanics and Engineering. 437:117790

Subject Terms: FOS: Computer and information sciences, Deep Neural Networks, Finite element methods applied to problems in solid mechanics, uncertainty quantification, finite element method, Surrogate Modeling, Autoencoders, surrogate modeling, Computational Engineering, Finance, and Science (cs.CE), deep neural networks, Finite Element Method, autoencoders, Stochastic and other probabilistic methods applied to problems in solid mechanics, Uncertainty Quantification, Gaussian Process, Gaussian process, Computer Science - Computational Engineering, Finance, and Science

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Access URL: http://arxiv.org/abs/2407.10732
https://zbmath.org/8013262
https://doi.org/10.1016/j.cma.2025.117790

Inverse material design using deep reinforcement learning and homogenization

Authors: V. Würz, C. Weißenfels

Source: Computer Methods in Applied Mechanics and Engineering. 435:117617

Subject Terms: ddc:510, Inverse problems in equilibrium solid mechanics, deep reinforcement learning, Finite element methods applied to problems in solid mechanics, Numerical and other methods in solid mechanics, micro-structural parameter optimization, advantage actor-critic model, finite element method, homogenization, Homogenization, determination of effective properties in solid mechanics, Stochastic and other probabilistic methods applied to problems in solid mechanics, inverse material design

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Bayesian neural networks for predicting uncertainty in full-field material response

Authors: George D. Pasparakis, Lori Graham-Brady, Michael D. Shields

Source: Computer Methods in Applied Mechanics and Engineering. 433:117486

Subject Terms: FOS: Computer and information sciences, Bayesian neural network, Condensed Matter - Materials Science, Computer Science - Machine Learning, epistemic and aleatoric uncertainties, Learning and adaptive systems in artificial intelligence, data-driven mechanics, Materials Science (cond-mat.mtrl-sci), FOS: Physical sciences, Machine Learning (stat.ML), Statistics - Applications, 01 natural sciences, surrogate modeling, Machine Learning (cs.LG), Statistics - Machine Learning, 0103 physical sciences, Stochastic and other probabilistic methods applied to problems in solid mechanics, Applications (stat.AP), 0101 mathematics, variational inference

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Access URL: http://arxiv.org/abs/2406.14838
https://zbmath.org/7967150
https://doi.org/10.1016/j.cma.2024.117486

A novel Hybrid Particle Element Method (HPEM) for large deformation analysis in solid mechanics: A novel hybrid particle element method (HPEM) for large deformation analysis in solid mechanics

Authors: Fang, Huangcheng, Yin, Zhen-Yu

Source: Computer Methods in Applied Mechanics and Engineering. 433:117530

Subject Terms: large deformation analysis, Finite element methods applied to problems in solid mechanics, particle method, gradient smoothing, finite element method, Stochastic and other probabilistic methods applied to problems in solid mechanics, remeshing technique

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Access URL: https://zbmath.org/7972858
https://doi.org/10.1016/j.cma.2024.117530

Probabilistic thermal stability of laminated composite plates with temperature-dependent properties under a stochastic thermal field

Authors: Hadi Parviz, Mahdi Fakoor, Fatemeh Hosseini

Source: Acta Mechanica. 233:1351-1370

Subject Terms: Finite element methods applied to problems in solid mechanics, Bifurcation and buckling, Karhunen-Loeve theorem, 02 engineering and technology, stochastic Gaussian field, 0201 civil engineering, thermal buckling, Thermal effects in solid mechanics, stochastic finite element method, 0203 mechanical engineering, temperature increment-based algorithm, Stochastic and other probabilistic methods applied to problems in solid mechanics, Composite and mixture properties, Plates

File Description: application/xml

Access URL: https://zbmath.org/7531642
https://doi.org/10.1007/s00707-022-03167-w

Mesh superposition‐based multiscale stress analysis of composites using homogenization theory and re‐localization technique considering fiber location variation: Mesh superposition-based multiscale stress analysis of composites using homogenization theory and re-localization technique considering fiber location variation

Authors: Sei‐ichiro Sakata, Shin Tanimasu

Source: International Journal for Numerical Methods in Engineering. 123:505-529

Subject Terms: Monte Carlo method, unidirectional composite plate, Numerical and other methods in solid mechanics, Finite element methods applied to problems in solid mechanics, 0203 mechanical engineering, random fiber arrangement, Stochastic and other probabilistic methods applied to problems in solid mechanics, Homogenization in equilibrium problems of solid mechanics, 02 engineering and technology, Composite and mixture properties, probabilistic analysis, multiscale stochastic stress analysis, transverse loading

File Description: application/xml

Access URL: https://zbmath.org/7757785
https://doi.org/10.1002/nme.6865
https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.6865

Probabilistic analysis of dynamic stability for a rotating BDFG tapered beam with time-varying velocity and stochastic parameters

Authors: Yanxun Zhou, Yimin Zhang, Guo Yao

Source: Acta Mechanica. 232:1709-1728

Subject Terms: Hamilton principle, Inhomogeneity in solid mechanics, Numerical approximation of solutions of dynamical problems in solid mechanics, Learning and adaptive systems in artificial intelligence, functionally graded material, 02 engineering and technology, active learning algorithm, 0201 civil engineering, Kriging-based system reliability method, parametric excitation, Bolotin method, 0203 mechanical engineering, Stochastic and other probabilistic methods applied to problems in solid mechanics, Rods (beams, columns, shafts, arches, rings, etc.), Stability of dynamical problems in solid mechanics

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Access URL: https://link.springer.com/content/pdf/10.1007/s00707-020-02931-0.pdf

A new stochastic isogeometric analysis method based on reduced basis vectors for engineering structures with random field uncertainties

Authors: Zhenyu Liu, Minglong Yang, Jin Cheng, Jianrong Tan

Source: Applied Mathematical Modelling. 89:966-990

Subject Terms: stochastic isogeometric analysis based on reduced basis vectors, linear elasticity structure, spatially dependent uncertainty, 0211 other engineering and technologies, 02 engineering and technology, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 01 natural sciences, Isogeometric methods applied to problems in solid mechanics, random field, Krylov subspace theory, 0103 physical sciences, horizontal axis marine current turbine, Stochastic and other probabilistic methods applied to problems in solid mechanics, Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs

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Access URL: https://www.sciencedirect.com/science/article/pii/S0307904X20304352

A novel weight index-based uniform partition technique of multi-dimensional probability space for structural uncertainty quantification

Authors: Chen, Hanshu, Gao, Yongxin, Yang, Dixiong, Meng, Zeng, Fu, Zhuojia

Source: Computer Methods in Applied Mechanics and Engineering. 431:117297

Subject Terms: stochastic response and dynamic reliability analyses, multi-dimensional probability space, uncertainty quantification, Stochastic and other probabilistic methods applied to problems in solid mechanics, direct probability integral method, weight index-based uniform partition technique

File Description: application/xml

A point mapping strategy-based sparse grid integration method for statistical moments estimation and structural reliability analysis

Authors: Tao Wang, Jiahong Li, Dagang Lu, You Dong, Yiqiu Tan, Zhengliang Li

Source: Computer Methods in Applied Mechanics and Engineering. 430:117238

Subject Terms: point mapping strategy, structural reliability analysis, maximum entropy method, statistical moment estimation, sparse grid integration, Stochastic and other probabilistic methods applied to problems in solid mechanics, Applications of statistics to physics

File Description: application/xml

Access URL: https://zbmath.org/7904387
https://doi.org/10.1016/j.cma.2024.117238

Probabilistic analysis and ghost-stochastic resonance of a hybrid energy harvester under Gaussian White noise: Probabilistic analysis and ghost-stochastic resonance of a hybrid energy harvester under Gaussian white noise

Authors: C. Nono Dueyou Buckjohn, Clément Tchawoua, G. J. Fezeu, I. S. Mokem Fokou, M. Siewe Siewe

Source: Meccanica. 55:1679-1691

Subject Terms: piezoelectric circuit, Random vibrations in dynamical problems in solid mechanics, Electromagnetic effects in solid mechanics, 0103 physical sciences, mean residence time, Fokker-Plank-Kolmogorov equation, Stochastic and other probabilistic methods applied to problems in solid mechanics, stochastic averaging method, 01 natural sciences, 7. Clean energy

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Access URL: https://zbmath.org/7710162
https://doi.org/10.1007/s11012-020-01204-3
https://link.springer.com/article/10.1007/s11012-020-01204-3