A Pre-Training Deep Learning Method for Simulating the Large Bending Deformation of Bilayer Plates: A pre-training deep learning method for simulating the large bending deformation of bilayer plates

Authors: Li, Xiang, Liao, Yulei, Ming, Pingbing

Source: East Asian Journal on Applied Mathematics. 14:551-578

Subject Terms: Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids, nonlinear elasticity, isometric constraint, FOS: Mathematics, deep learning, pre-training method, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Plates, bilayer bending, 39-08, 49S05, 65K10, 65Q20, 74-10, 74K20, 74G65, Artificial neural networks and deep learning

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Access URL: http://arxiv.org/abs/2308.04967
https://zbmath.org/7895488
https://doi.org/10.4208/eajam.2023-325.070124

Plate Theory for Metric-Constrained Actuation of Liquid Crystal Elastomer Sheets: Plate theory for metric-constrained actuation of liquid crystal elastomer sheets

Authors: Bouck, Lucas, Padilla-Garza, David, Plucinsky, Paul

Source: Journal of Elasticity. 157

Subject Terms: Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids, liquid crystal elastomers, Nonlinear elasticity, calculus of variations, Soft Condensed Matter (cond-mat.soft), FOS: Physical sciences, Condensed Matter - Soft Condensed Matter, plate theory

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Access URL: http://arxiv.org/abs/2410.00333
https://zbmath.org/8026021
https://doi.org/10.1007/s10659-025-10127-7

Internal uniform hydrostatic stress field within a double, triple or quadruple coated elastic inhomogeneity possessing an (n + 1)-fold axis of rotational symmetry: Internal uniform hydrostatic stress field within a double, triple or quadruple coated elastic inhomogeneity possessing an \((n + 1)\)-fold axis of rotational symmetry

Authors: Wang, Xu, Schiavone, Peter

Source: Zeitschrift für angewandte Mathematik und Physik. 76

Subject Terms: Inverse problems in equilibrium solid mechanics, Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids, Classical linear elasticity, Inhomogeneity in solid mechanics, Micromechanics of solids, Boundary value problems in the complex plane, elastic inhomogeneity, quadruple coating, Complex-variable methods applied to problems in solid mechanics, uniform hydrostatic stress, PDEs in connection with mechanics of deformable solids, triple coating, double coating

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Nonlinear Morphoelastic Theory of Biological Shallow Shells with Initial Stress: Nonlinear morphoelastic theory of biological shallow shells with initial stress

Authors: Andrini, D., Chen, X., Ciarletta, P.

Source: Journal of Elasticity. 157

Subject Terms: asymptotic theory, Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids, Bifurcation and buckling, Marguerre-von Kármán equations, residual stress, Shells, elastic shallow shell

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Access URL: https://zbmath.org/8015640
https://doi.org/10.1007/s10659-025-10113-z

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

An Explicit Multi-Time Stepping Algorithm for Multi-Time Scale Coupling Problems in SPH: An explicit multi-time stepping algorithm for multi-time scale coupling problems in SPH

Authors: Tang, Xiaojing, Wu, Dong, Wang, Zhentong, Haidn, Oskar, Hu, Xiangyu

Source: Communications in Computational Physics. 36:1219-1261

Subject Terms: Computational Engineering, Finance, and Science (cs.CE), FOS: Computer and information sciences, Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids, SPH, dynamic relaxation, multi-time step algorithm, multi-physics problem, multi-time scale coupling, Computer Science - Computational Engineering, Finance, and Science, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), Mixture effects in solid mechanics, Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)

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Access URL: http://arxiv.org/abs/2309.04010

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

Modelling architected beam using a nonlocal derivative-free shear deformable beam theory

Authors: Mukul Saxena, Saikat Sarkar, J. N. Reddy

Source: Acta Mechanica. 234:3979-4000

Subject Terms: Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids, Volterra derivative-based model, integro-differential equation, Bifurcation and buckling, Rods (beams, columns, shafts, arches, rings, etc.), critical buckling load

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Self-stabilized virtual element modeling of 2D mixed-mode cohesive crack propagation in isotropic elastic solids

Authors: Y. Chen, D. Sun, Q. Li, U. Perego

Source: Computer Methods in Applied Mechanics and Engineering. 439:117880

Subject Terms: Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids, virtual element method, self-stabilization, Finite element methods applied to problems in solid mechanics, Brittle fracture, cohesive crack propagation

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Access URL: https://zbmath.org/8033615
https://doi.org/10.1016/j.cma.2025.117880

On the use of physics-based constraints and validation KPI for data-driven elastoplastic constitutive modelling

Authors: Lourenço, Rúben, Tariq, Aiman, Georgieva, Petia, Andrade-Campos, A., Deliktaş, Babür

Source: Computer Methods in Applied Mechanics and Engineering. 437:117743

Subject Terms: validation, physics-informed, Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids, elastoplasticity, data-driven constitutive model, recurrent neural networks, constraints, model quality KPI, Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)

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Access URL: https://avesis.uludag.edu.tr/publication/details/ab3547f8-a315-4370-a9d9-7e2cf56f1722/oai

On the novel zero-order overshooting LMS algorithms by design for computational dynamics

Authors: Yazhou Wang, Dean Maxam, Nikolaus A. Adams, Kumar K. Tamma

Source: Computer Methods in Applied Mechanics and Engineering. 433:117522

Subject Terms: Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids, Finite element methods applied to problems in solid mechanics, time integration, linear/nonlinear dynamics, generalized single-step single-solve, time-weighted residual, vibration/structural dynamics, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs

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Efficient non-probabilistic parallel model updating based on analytical correlation propagation formula and derivative-aware deep neural network metamodel

Authors: Jiang Mo, Wang-Ji Yan, Ka-Veng Yuen, Michael Beer

Source: Computer Methods in Applied Mechanics and Engineering. 433:117490

Subject Terms: Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids, Finite element methods applied to problems in solid mechanics, Mathematical modeling or simulation for problems pertaining to mechanics of particles and systems, correlation propagation, neural network, derivative-aware metamodel, block coordinate descent, model updating, non-probabilistic uncertainty, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs

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Vectorial surrogate modeling method based on moving Kriging model for system reliability analysis: Vectorial surrogate modeling method based on moving kriging model for system reliability analysis

Authors: Zhen-Ao Li, Xiao-Wei Dong, Chun-Yan Zhu, Chang-Hai Chen, Hao Zhang

Source: Computer Methods in Applied Mechanics and Engineering. 432:117409

Subject Terms: moving least squares, Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids, vectorial surrogate modeling, kriging model, multi-failure structures, reliability analysis, Nonparametric regression and quantile regression

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Efficient AMG reduction-based preconditioners for structural mechanics

Authors: Àdel Alsalti-Baldellou, Andrea Franceschini, Gianluca Mazzucco, Carlo Janna

Source: Computer Methods in Applied Mechanics and Engineering. 431:117249

Subject Terms: Iterative numerical methods for linear systems, Multigrid methods, domain decomposition for boundary value problems involving PDEs, Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids, Finite element methods applied to problems in solid mechanics, algebraic multigrid, nonlinear problems, spatial symmetries, multigrid reduction, Preconditioners for iterative methods, Parallel numerical computation, periodic structures

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Access URL: https://zbmath.org/7917727
https://doi.org/10.1016/j.cma.2024.117249

A Real-Time Hybrid Simulation Method for Vehicle–Bridge Interaction Systems Considering Vehicle Jumping: A real-time hybrid simulation method for vehicle-bridge interaction systems considering vehicle jumping

Authors: Guoshan Xu, Yutong Jiang, Xizhan Ning, Zhipeng Liu, Tao Wang

Source: International Journal of Structural Stability and Dynamics. 24

Subject Terms: Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids, vehicle-bridge interaction system, jumping height, 0211 other engineering and technologies, real-time hybrid simulation, vehicle jumping, 02 engineering and technology, hybrid simulation, jumping position, 0201 civil engineering

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Access URL: https://zbmath.org/7874652
https://doi.org/10.1142/s0219455424501293

Discovering uncertainty: Bayesian constitutive artificial neural networks

Authors: Kevin Linka, Gerhard A Holzapfel, Ellen Kuhl

Source: Computer methods in applied mechanics and engineering 433(Part A), 117517 (2025). doi:10.1016/j.cma.2024.117517

Subject Terms: Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids, automated model discovery, Bayesian inference, Nonlinear elasticity, Bayesian neural networks, Stochastic and other probabilistic methods applied to problems in solid mechanics, uncertainty, constitutive artificial neural networks

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Access URL: https://publications.rwth-aachen.de/record/997082

The fraction of overlapping interphase around 2D and 3D polydisperse non-spherical particles: Theoretical and numerical models: The fraction of overlapping interphase around 2D and 3D polydisperse non-spherical particles: theoretical and numerical models

Authors: Zhigang Zhu, Wenxiang Xu, Huisu Chen

Source: Computer Methods in Applied Mechanics and Engineering. 345:728-747

Subject Terms: overlap detection, Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids, 0203 mechanical engineering, polydisperse, Micromechanics of solids, 0211 other engineering and technologies, non-spherical particle, 02 engineering and technology, interphase, theory, simulation

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Access URL: http://ui.adsabs.harvard.edu/abs/2019CMAME.345..728Z/abstract
https://www.sciencedirect.com/science/article/pii/S0045782518305802

A Gradient-Enhanced Plasticity Based Phase-Field Model for Ductile Fracture Simulations: A gradient-enhanced plasticity based phase-field model for ductile fracture simulations

Authors: Li, Huan, Zhang, Wenyu, Cheng, Xiang

Source: International Journal of Computational Methods. 20

Subject Terms: mesh independency, Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids, ductile fracture, gradient enhancement, Fracture and damage, 0101 mathematics, phase-field method, over-nonlocal plasticity model, 01 natural sciences

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Access URL: https://zbmath.org/7714946
https://doi.org/10.1142/s0219876222500396

Dynamic Analysis of Wind–Vehicle–Bridge Systems: An Advanced Hybrid Method: Dynamic analysis of wind-vehicle-bridge systems: an advanced hybrid method

Authors: Zhu, Siyu, Li, Yongle, Xu, Xinyu

Source: International Journal of Structural Stability and Dynamics. 22

Subject Terms: wind-vehicle-bridge (WVB) system, Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids, multi-body dynamics framework, dummy body, dynamic responses, 0211 other engineering and technologies, 0202 electrical engineering, electronic engineering, information engineering, hybrid method, 02 engineering and technology, 7. Clean energy, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)

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Access URL: https://zbmath.org/7847619
https://doi.org/10.1142/s0219455422501826

Online Model Updating Method with Multiple Inputs Considering Realistic Boundary Conditions in Hybrid Tests: Online model updating method with multiple inputs considering realistic boundary conditions in hybrid tests

Authors: Chunbo Du, Jiayi Zheng, Yingpeng Tian, Bo Zhang, Tao Wang

Source: International Journal of Structural Stability and Dynamics. 22

Subject Terms: Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids, Inverse problems in dynamical solid mechanics, hybrid test, multiple inputs, 02 engineering and technology, online model updating, unscented Kalman filter, boundary condition, 0201 civil engineering

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Access URL: https://zbmath.org/7847613
https://doi.org/10.1142/s0219455422501784