Computational Mechanics

Article	Citations
Machine learning for metal additive manufacturing: predicting temperature and melt pool fluid dynamics using physics-informed neural networks	230
A general phase-field model for fatigue failure in brittle and ductile solids	74
A comparative review of peridynamics and phase-field models for engineering fracture mechanics	70
A physics-informed neural network technique based on a modified loss function for computational 2D and 3D solid mechanics	55
Stabilized methods for high-speed compressible flows: toward hypersonic simulations	42
A digital-twin and machine-learning framework for the design of multiobjective agrophotovoltaic solar farms	42
A Bayesian multiscale CNN framework to predict local stress fields in structures with microscale features	40
Anisotropic hyperelastic constitutive models for finite deformations combining material theory and data-driven approaches with application to cubic lattice metamaterials	39
Automated constitutive modeling of isotropic hyperelasticity based on artificial neural networks	35
Recurrent neural networks (RNNs) learn the constitutive law of viscoelasticity	35
FE$${}^\textrm{ANN}$$: an efficient data-driven multiscale approach based on physics-constrained neural networks and automated data mining	34
Multi-physics modeling of direct energy deposition process of thin-walled structures: defect analysis	32
On differences and comparisons of peridynamic differential operators and nonlocal differential operators	30
Can CFD establish a connection to a milder COVID-19 disease in younger people? Aerosol deposition in lungs of different age groups based on Lagrangian particle tracking in turbulent flow	30
A gradient reproducing kernel based stabilized collocation method for the static and dynamic problems of thin elastic beams and plates	29
U-duct turbulent-flow computation with the ST-VMS method and isogeometric discretization	29
Bayesian inversion for unified ductile phase-field fracture	28
Space–time VMS isogeometric analysis of the Taylor–Couette flow	27
A variational phase-field model For ductile fracture with coalescence dissipation	27
Uncertainty quantification of spatially uncorrelated loads with a reduced-order stochastic isogeometric method	27
An FE-DMN method for the multiscale analysis of thermomechanical composites	26
Space–time isogeometric analysis of car and tire aerodynamics with road contact and tire deformation and rotation	25
Hybrid thermal modeling of additive manufacturing processes using physics-informed neural networks for temperature prediction and parameter identification	24
Modelling stress-induced anisotropy in multi-phase granular soils	24
Wind turbine wake computation with the ST-VMS method, isogeometric discretization and multidomain method: I. Computational framework	23

Non-negative moment fitting quadrature for cut finite elements and cells undergoing large deformations	23
Signed distance field framework for unified DEM modeling of granular media with arbitrary particle shapes	22
High-resolution multi-domain space–time isogeometric analysis of car and tire aerodynamics with road contact and tire deformation and rotation	22
Peridynamic analysis of dynamic fracture: influence of peridynamic horizon, dimensionality and specimen size	22
Physics-informed deep learning for three-dimensional transient heat transfer analysis of functionally graded materials	22
Immersed boundary-conformal isogeometric method for linear elliptic problems	21
Transient multi-scale analysis with micro-inertia effects using Direct $$\hbox {FE}^{2}$$ method	21
A linear-elasticity-based mesh moving method with no cycle-to-cycle accumulated distortion	21
Crystal plasticity model of residual stress in additive manufacturing using the element elimination and reactivation method	21
Improved second-order unconditionally stable schemes of linear multi-step and equivalent single-step integration methods	21
Efficient multiscale modeling of heterogeneous materials using deep neural networks	21
Crack phase-field model equipped with plastic driving force and degrading fracture toughness for ductile fracture simulation	21
Mesh moving techniques in fluid-structure interaction: robustness, accumulated distortion and computational efficiency	20
Wind turbine wake computation with the ST-VMS method, isogeometric discretization and multidomain method: II. Spatial and temporal resolution	20
Variable-order approach to nonlocal elasticity: theoretical formulation, order identification via deep learning, and applications	20
MFNets: data efficient all-at-once learning of multifidelity surrogates as directed networks of information sources	19
A digital-twin and machine-learning framework for precise heat and energy management of data-centers	19
A hybrid $$ H ^1\times H (\mathrm {curl})$$ finite element formulation for a relaxed micromorphic continuum model of antiplane shear	19
A Hu–Washizu variational approach to self-stabilized virtual elements: 2D linear elastostatics	19
Model-free data-driven simulation of inelastic materials using structured data sets, tangent space information and transition rules	19
Constrained neural network training and its application to hyperelastic material modeling	19
A new computational scheme for structural static stochastic analysis based on Karhunen–Loève expansion and modified perturbation stochastic finite element method	19
MPM–FEM hybrid method for granular mass–water interaction problems	19
A hyperelastic extended Kirchhoff–Love shell model with out-of-plane normal stress: I. Out-of-plane deformation	19
Phase field modeling of ductile fracture at large plastic strains using adaptive isotropic remeshing	18
Internal contact modeling for finite strain topology optimization	18
The concept of Representative Crack Elements (RCE) for phase-field fracture: transient thermo-mechanics	18
Tool path optimization of selective laser sintering processes using deep learning	17
FFT phase-field model combined with cohesive composite voxels for fracture of composite materials with interfaces	17
Parameter identification for phase-field modeling of fracture: a Bayesian approach with sampling-free update	17
A dynamic hybrid local/nonlocal continuum model for wave propagation	16
Multiresolution clustering analysis for efficient modeling of hierarchical material systems	16
Adaptive mesh refinement and coarsening for diffusion–reaction epidemiological models	16
A new method based on Taylor expansion and nearest-node strategy to impose Dirichlet and Neumann boundary conditions in ordinary state-based Peridynamics	16
Updated Lagrangian particle hydrodynamics (ULPH) modeling of solid object water entry problems	16
Benchmarking physics-informed frameworks for data-driven hyperelasticity	15
A Bi-fidelity ensemble kalman method for PDE-constrained inverse problems in computational mechanics	15
Risk-averse approach for topology optimization of fail-safe structures using the level-set method	15
Physically enhanced training for modeling rate-independent plasticity with feedforward neural networks	15
Carrier-Domain Method for high-resolution computation of time-periodic long-wake flows	15
Subdivision-based isogeometric analysis for second order partial differential equations on surfaces	15
Two-field formulations for isogeometric Reissner–Mindlin plates and shells with global and local condensation	15
Phase-field approach in elastoplastic solids: application of an iterative staggered scheme and its experimental validation	15
Mesh size objective fatigue damage propagation in laminated composites using the multiscale discrete damage theory	14
A viscoelastic model of geometry-constraint-based non-ordinary state-based peridynamics with progressive damage	14
A generalized Bayesian regularization network approach on characterization of geometric defects in lattice structures for topology optimization in preliminary design of 3D printing	14
Material parameter identification using finite elements with time-adaptive higher-order time integration and experimental full-field strain information	14
A sequential addition and migration method for generating microstructures of short fibers with prescribed length distribution	14
A projected super-penalty method for the $$C^1$$-coupling of multi-patch isogeometric Kirchhoff plates	14
Wind turbine wake computation with the ST-VMS method and isogeometric discretization: Directional preference in spatial refinement	14

Formulation and experimental validation of space-fractional Timoshenko beam model with functionally graded materials effects	13
Reduced-order modeling of nonlinear structural dynamical systems via element-wise stiffness evaluation procedure combined with hyper-reduction	13
Concurrent n-scale modeling for non-orthogonal woven composite	13
A nonlocal damage model for concrete with three length scales	13
A unified-implementation of smoothed finite element method (UI-SFEM) for simulating biomechanical responses of multi-materials orthodontics	13
Introducing regularization into the virtual fields method (VFM) to identify nonhomogeneous elastic property distributions	13
A computational modeling approach based on random fields for short fiber-reinforced composites with experimental verification by nanoindentation and tensile tests	13
Efficient stochastic finite element analysis of irregular wall structures with inelastic random field properties over manifold	13
Accelerating the distance-minimizing method for data-driven elasticity with adaptive hyperparameters	13
A mixed u–p edge-based smoothed particle finite element formulation for viscous flow simulations	13
3D mixed virtual element formulation for dynamic elasto-plastic analysis	13
Metaball based discrete element method for general shaped particles with round features	13
Nonlinear multiscale simulation of elastic beam lattices with anisotropic homogenized constitutive models based on artificial neural networks	13
A variational multiscale immersed meshfree method for heterogeneous materials	13
A unified reproducing kernel gradient smoothing Galerkin meshfree approach to strain gradient elasticity	12
A semi-Lagrangian reproducing kernel particle method with particle-based shock algorithm for explosive welding simulation	12
An eigenvalue stabilization technique to increase the robustness of the finite cell method for finite strain problems	12
Bounds optimization of model response moments: a twin-engine Bayesian active learning method	12
Physics-informed machine learning for surrogate modeling of wind pressure and optimization of pressure sensor placement	12
Effective properties of particulate nano-composites including Steigmann–Ogden model of material surface	12
Lagrange and $$H({\text {curl}},{{\mathcal {B}}})$$ based finite element formulations for the relaxed micromorphic model	12
Phase-field approach to evolution and interaction of twins in single crystal magnesium	12
Large deflection of composite beams by finite elements with node-dependent kinematics	12
A numerical formulation for cavitating flows around marine propellers based on variational multiscale method	12
Optimal design of 3D architected porous/nonporous microstructures of multifunctional multiphase composites for maximized thermomechanical properties	12
Data-driven multiscale method for composite plates	12
Misorientation and grain boundary orientation dependent grain boundary response in polycrystalline plasticity	11
A two-level macroscale continuum description with embedded discontinuities for nonlinear analysis of brick/block masonry	11
Homogenization of fully nonlinear rod lattice structures: on the size of the RVE and micro structural instabilities	11
On the geometrically exact formulations of finite deformable isogeometric beams	11
T-splines computational membrane–cable structural mechanics with continuity and smoothness: II. Spacecraft parachutes	11
XIGA: An eXtended IsoGeometric analysis approach for multi-material problems	11
Self-updated four-node finite element using deep learning	11
Consistent coupling of positions and rotations for embedding 1D Cosserat beams into 3D solid volumes	11
Bi-fidelity modeling of uncertain and partially unknown systems using DeepONets	11
Machine learning based multiscale calibration of mesoscopic constitutive models for composite materials: application to brain white matter	10
Thermo-electro-mechanical modeling of spark plasma sintering processes accounting for grain boundary diffusion and surface diffusion	10
Numerical artifacts of Fast Fourier Transform solvers for elastic problems of multi-phase materials: their causes and reduction methods	10
An enriched phase-field method for the efficient simulation of fracture processes	10
T-splines computational membrane–cable structural mechanics with continuity and smoothness: I. Method and implementation	10
A new mesh smoothing method based on a neural network	10
Dynamics of double emulsion interfaces under the combined effects of electric field and shear flow	10
Finite element methodology for modeling aircraft aerodynamics: development, simulation, and validation	10
Size-effects of metamaterial beams subjected to pure bending: on boundary conditions and parameter identification in the relaxed micromorphic model	10
ANN-aided incremental multiscale-remodelling-based finite strain poroelasticity	10
On the formulation and evaluation of old and new efficient low order triangular plate bending elements with shear effects	10
Residual stresses in gas tungsten arc welding: a novel phase-field thermo-elastoplasticity modeling and parameter treatment framework	10
Dynamic brittle fracture with a new energy limiter-based scalar damage model	10
Goal-oriented error estimation and adaptivity in MsFEM computations	10
A Newmark space-time formulation in structural dynamics	9
The pixel-based quadtree SBFEM with the parameter level set method for identifying cracks and voids	9
An efficient 3D homogenization-based topology optimization methodology	9
Design of experiments for the calibration of history-dependent models via deep reinforcement learning and an enhanced Kalman filter	9
Computing the effective crack energy of heterogeneous and anisotropic microstructures via anisotropic minimal surfaces	9
Stochastic finite cell method for structural mechanics	9
A coupled fluid-mechanical workflow to simulate the directed energy deposition additive manufacturing process	9
Nodally integrated thermomechanical RKPM: Part I—Thermoelasticity	9
A damage phase-field model for fractional viscoelastic materials in finite strain	9
Incremental viscoelasticity at finite strains for the modelling of 3D concrete printing	9
Incompressible rubber thermoelasticity: a neural network approach	9
A mesh-independent framework for crack tracking in elastodamaging materials through the regularized extended finite element method	9
A least squares recursive gradient meshfree collocation method for superconvergent structural vibration analysis	9
Numerical modeling of hypervelocity impacts on carbon fiber reinforced plastics using a GPU-accelerated SPH model	9
A stress-driven computational homogenization method based on complementary potential energy variational principle for elastic composites	9
Design of optimized architected structures with exact size and connectivity via an enhanced multidomain topology optimization strategy	8
How drugs modulate the performance of the human heart	8
A surrogate model for the prediction of permeabilities and flow through porous media: a machine learning approach based on stochastic Brownian motion	8
ALE formulation for thermomechanical inelastic material models applied to tire forming and curing simulations	8
Multi-resolution methods for the topology optimization of nonlinear electro-active polymers at large strains	8
Nonlocal wrinkling instabilities in bilayered systems using peridynamics	8
Deep neural operator for learning transient response of interpenetrating phase composites subject to dynamic loading	8
Simulation of crack propagation through voxel-based, heterogeneous structures based on eigenerosion and finite cells	8
Convolution hierarchical deep-learning neural network (C-HiDeNN) with graphics processing unit (GPU) acceleration	8
Geometrically exact elastoplastic rods: determination of yield surface in terms of stress resultants	8
Phase-field modelling and analysis of rate-dependent fracture phenomena at finite deformation	8
FFT-based homogenization at finite strains using composite boxels (ComBo)	8
Multiscale parareal algorithm for long-time mesoscopic simulations of microvascular blood flow in zebrafish	8
Robust topology optimization with low rank approximation using artificial neural networks	8
An interface-enriched generalized finite element formulation for locking-free coupling of non-conforming discretizations and contact	8
An FFT-based approach for Bloch wave analysis: application to polycrystals	8

A note on rapid genetic calibration of artificial neural networks	7
A new variational approach for the thermodynamic topology optimization of hyperelastic structures	7
Extended isogeometric analysis of multi-material and multi-physics problems using hierarchical B-splines	7
Robust hybrid/mixed finite elements for rubber-like materials under severe compression	7
Accounting for viscoelastic effects in a multiscale fatigue model for the degradation of the dynamic stiffness of short-fiber reinforced thermoplastics	7
A unified modelling and simulation for coupled anomalous transport in porous media and its finite element implementation	7
A variational multiscale stabilized and locking-free meshfree formulation for Reissner–Mindlin plate problems	7
Two-scale shape optimisation based on numerical homogenisation techniques and variational sensitivity analysis	7
Reduced-order multiscale modeling of plastic deformations in 3D alloys with spatially varying porosity by deflated clustering analysis	7
Discrete convolution and FFT modified with double influence-coefficient superpositions (DCSS–FFT) for contact of nominally flat heterogeneous materials involving elastoplasticity	7
Fast and multiscale formation of isogeometric matrices of microstructured geometric models	7
A general anisotropic peridynamic plane model based on micro-beam bond	7
An efficient numerical strategy to predict the dynamic instabilities of a rubbing system: application to an automobile disc brake system	7
A strain-gradient formulation for fiber reinforced polymers: hybrid phase-field model for porous-ductile fracture	7
A weighted Nitsche’s method for interface problems with higher-order simplex elements	7
Convolution Hierarchical Deep-learning Neural Networks (C-HiDeNN): finite elements, isogeometric analysis, tensor decomposition, and beyond	7
An adaptive digital framework for energy management of complex multi-device systems	7
A phase-field fracture model for brittle anisotropic materials	7
Multiscale computational homogenisation of shear-flexible beam elements: a Direct FE2 approach	7
On two simple virtual Kirchhoff-Love plate elements for isotropic and anisotropic materials	7
Influence of flow–fiber coupling during mold-filling on the stress field in short-fiber reinforced composites	7