VEM-Nitsche Fully Discrete Polytopal Scheme for Frictionless Contact-Mechanics: VEM-Nitsche fully discrete polytopal scheme for frictionless contact-mechanics

Authors: Laaziri, Mohamed, Masson, Roland

Source: SIAM Journal on Numerical Analysis. 63:81-102

Subject Terms: Nitsche's method, Error bounds for boundary value problems involving PDEs, Finite element methods applied to problems in solid mechanics, Flows in porous media, filtration, seepage, Numerical computation of solutions to systems of equations, poromechanics, fracture networks, fully discrete approach, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, Contact in solid mechanics, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), virtual element method, Classical linear elasticity, error estimates, Soil and rock mechanics, contact-mechanics, polytopal method, PDEs in connection with mechanics of deformable solids

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The mixed penalty method for the Signorini problem

Authors: Hu, Jingyan, Wang, Qi, Zhou, Guanyu

Source: ESAIM: Mathematical Modelling and Numerical Analysis. 58:1823-1851

Subject Terms: Signorini condition, Finite element methods applied to problems in solid mechanics, Error bounds for boundary value problems involving PDEs, well-posedness, error estimate, Contact in solid mechanics, mixed finite element method

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A review of temporal and spatial dispersions of linear and quadratic finite elements in linear elastic wave propagation problems

Authors: Kolman, R. (Radek), Okrouhlík, M. (Miloslav), Kruisová, A. (Alena)

Source: Proceedings of the Estonian Academy of Sciences, Vol 73, Iss 3, Pp 279-316 (2024)

Subject Terms: Finite element methods applied to problems in solid mechanics, Linear elasticity with initial stresses, Science, elastic wave propagation, finite element method, direct time integration, spurious oscillations, Finite difference methods applied to problems in solid mechanics, Error bounds for initial value and initial-boundary value problems involving PDEs, Vibrations in dynamical problems in solid mechanics, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Strings, dispersion, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Linear waves in solid mechanics, PDEs in connection with mechanics of deformable solids, Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids

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Access URL: https://hdl.handle.net/11104/0358061

A dislocation-based crystal plasticity model for single-crystal micropillars based on strain burst with stochastic characteristics

Authors: Huili Guo, Wenjie Xu, Fulin Shang

Source: Acta Mechanica. 235:5947-5962

Subject Terms: shear strain rate, Finite element methods applied to problems in solid mechanics, Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity), Micromechanics of solids, elasto-viscoplasticity, finite element method, Schmid law, stress-strain curve, Crystalline structure, micro-compression, flow stress size effect

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Access URL: https://zbmath.org/7955013
https://doi.org/10.1007/s00707-024-04022-w

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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An efficient numerical algorithm to solve steady state heat conduction problems with local uncertainty

Authors: Guo, Xiaoqi, Yang, Haitian, He, Yiqian

Source: Engineering Analysis with Boundary Elements. 163:593-605

Subject Terms: Thermal effects in solid mechanics, computational efficiency, Boundary element methods applied to problems in thermodynamics and heat transfer, Finite element methods applied to problems in solid mechanics, scaled boundary element finite method, Diffusive and convective heat and mass transfer, heat flow, heat conduction, local uncertainty, Boundary element methods for boundary value problems involving PDEs, Woodbury formula

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Searching slope critical slip surface based on the NMM and equivalent plastic strain

Authors: Shuai Zhu, Zhoujiaozi Yu, Fei Tan, Jiahe Lv

Source: Engineering Analysis with Boundary Elements. 162:45-57

Subject Terms: numerical manifold method, strength reduction method, Finite element methods applied to problems in solid mechanics, factor of safety, critical slip surface, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, equivalent plastic strain, Stability of dynamical problems in solid mechanics

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Access URL: https://zbmath.org/7855331
https://doi.org/10.1016/j.enganabound.2024.01.027

Vibrational analysis of a coupled damaged Timoshenko beam-arch mechanical system with von Kármán nonlinearities and layer discontinuity

Authors: Stojanović, Vladimir, Deng, Jian, Milić, Dunja, Petković, Marko D.

Source: Mathematics and Computers in Simulation. 218:334-356

Subject Terms: newmark method, Vibrations in dynamical problems in solid mechanics, Finite element methods applied to problems in solid mechanics, Winkler nonlinear layer, Rods (beams, columns, shafts, arches, rings, etc.), damaged beam-arch system, discontinuity

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Access URL: https://zbmath.org/7833313
https://doi.org/10.1016/j.matcom.2023.11.011

A collaborating approach for hole detection with the numerical manifold method and Elman neural network

Authors: Zheng, G. Y., Li, C. L., Guo, D. L., Zhang, H. H., Ji, X. L., Han, S. Y.

Source: Engineering Analysis with Boundary Elements. 161:214-225

Subject Terms: hole detection, numerical manifold method, Elman neural network, Finite element methods applied to problems in solid mechanics, Brittle fracture, inverse analysis, Spectral, collocation and related methods for boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs

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Virtual clustering analysis for phase field model of quasi-static brittle fracture

Authors: Tang, Shaoqiang, Miao, Jingcheng

Source: Computational Mechanics. 74:875-888

Subject Terms: crack path, Finite element methods applied to problems in solid mechanics, Brittle fracture, Green function, Lippmann-Schwinger eqation, finite element method, representative volume element, Helmholtz equation, numerical homogenization, Homogenization and oscillations in dynamical problems of solid mechanics, reduced order modeling

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Modeling quasi-static crack propagation using preconditioned numerical manifold method

Authors: Yao Jiang, Yongliang Wang, Zhen Cai, Yimin Zhang, Zhijun Liu, Fanyu Zhang

Source: Engineering Analysis with Boundary Elements. 159:138-149

Subject Terms: extended finite element method (XFEM), ill-conditioning, Finite element methods applied to problems in solid mechanics, Brittle fracture, preconditioning, numerical manifold method (NMM), crack propagation, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs

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N-sided polygonal cell-based smoothed finite element method (nCS-FEM) based on Wachspress shape function for modal analysis: \(N\)-sided polygonal cell-based smoothed finite element method (\(n\)CS-FEM) based on Wachspress shape function for modal analysis

Authors: Jingui Zhao, Guirong Liu, Shuhao Huo, Gang Wang, Chen Jiang, Zirui Li

Source: Engineering Analysis with Boundary Elements. 159:434-451

Subject Terms: modal superposition technique, Finite element methods applied to problems in solid mechanics, Wachspress shape function, CS-FEM, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Lanczos algorithm, polygonal elements, smoothed finite element method

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Access URL: https://zbmath.org/7855283
https://doi.org/10.1016/j.enganabound.2023.12.013

On the semi-analytical framework for Cosserat continuum

Authors: V.S. Suvin, Ean Tat Ooi, Sundararajan Natarajan

Source: Engineering Analysis with Boundary Elements. 159:352-363

Subject Terms: Finite element methods applied to problems in solid mechanics, Laplace shape functions, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, stress concentration, scaled boundary finite element method, Cosserat continuum

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Access URL: https://zbmath.org/7855277
https://doi.org/10.1016/j.enganabound.2023.12.003

Mechanical modeling of arbitrarily perforated orthotropic composites with the numerical manifold method

Authors: D.L. Guo, H.H. Zhang, X.L. Ji, S.Y. Han

Source: Engineering Analysis with Boundary Elements. 158:289-302

Subject Terms: numerical manifold method, holes, Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids, Finite element methods applied to problems in solid mechanics, Numerical solutions to equations with nonlinear operators, mechanical behavior, Composite and mixture properties, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, orthotropic composites, non-conforming discretization

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Access URL: https://zbmath.org/7875814
https://doi.org/10.1016/j.enganabound.2023.11.001

Multilayered elastic medium reinforced with interfacial thin film: A theoretical model for geogrid reinforced HIR asphalt pavement: Multilayered elastic medium reinforced with interfacial thin film: a theoretical model for geogrid reinforced HIR asphalt pavement

Authors: Li-yuan Liu, Shuling Wang, Xing-wei Chen, Huai-lei Cheng, Lv Quan, Shengchuan Jiang, Li-jun Sun

Source: Engineering Analysis with Boundary Elements. 158:224-238

Subject Terms: geogrid reinforcement, Finite element methods applied to problems in solid mechanics, HIR asphalt pavement, 3-D multilayered elasticity, Thin films, generalized Kelvin solution based method, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs

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A length insensitive modified phase field model for quasi-brittle failure and brittle fracture

Authors: Yuanfeng Yu, Chi Hou, Xiaoya Zheng, Jinyou Xiao, Meiying Zhao

Source: Computational Mechanics. 74:129-150

Subject Terms: brittle fracture, Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids, phase field method, Finite element methods applied to problems in solid mechanics, Brittle fracture, crack propagation, monolithic algorithm, quasi-brittle failure

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Access URL: https://zbmath.org/7893934
https://doi.org/10.1007/s00466-023-02426-4

Thin-walled composite beam elements via the absolute nodal coordinate formulation

Authors: Zhenxing Shen

Source: Multibody System Dynamics. 62:107-135

Subject Terms: Finite element methods applied to problems in solid mechanics, Taylor polynomial, linear Lagrange/cubic Hermite interpolation, laminated composite, Rods (beams, columns, shafts, arches, rings, etc.), Composite and mixture properties, cross-section deformation, higher-order beam element

File Description: application/xml

Access URL: https://zbmath.org/7938429
https://doi.org/10.1007/s11044-023-09956-y

Fracture of films caused by uniaxial tensions: a numerical model

Authors: Jia, Chenxue, Wang, Zihao, Zhang, Donghui, Zhang, Taihua, Meng, Xianhong

Source: Applied Mathematics and Mechanics. 44:2093-2108

Subject Terms: periodic crack, Finite element methods applied to problems in solid mechanics, Brittle fracture, Thin films, finite element method, stress intensity factor, Stress concentrations, singularities in solid mechanics, surface crack, strain energy release rate

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Damage detection in cracked structure rotating under the fluid medium through radial basis function neural network technique

Authors: Yadao, Adik

Source: Meccanica. 58:2377-2400

Subject Terms: crack depth/location, Inverse problems in dynamical solid mechanics, Finite element methods applied to problems in solid mechanics, Brittle fracture, Navier-Stokes equations for incompressible viscous fluids, fnite element method, cantilever rotor shaft, Rods (beams, columns, shafts, arches, rings, etc.), Navier-Stokes equations, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), Artificial neural networks and deep learning, dynamic response

File Description: application/xml

Access URL: https://zbmath.org/7797121
https://doi.org/10.1007/s11012-023-01733-7

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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