Computer Methods in Applied Mechanics and Engineering

Article	Citations
The Arithmetic Optimization Algorithm	1788
Dwarf Mongoose Optimization Algorithm	555
Artificial hummingbird algorithm: A new bio-inspired optimizer with its engineering applications	512
A physics-informed deep learning framework for inversion and surrogate modeling in solid mechanics	464
hp-VPINNs: Variational physics-informed neural networks with domain decomposition	302
SciANN: A Keras/TensorFlow wrapper for scientific computations and physics-informed deep learning using artificial neural networks	221
On the eigenvector bias of Fourier feature networks: From regression to solving multi-scale PDEs with physics-informed neural networks	221
Gradient-enhanced physics-informed neural networks for forward and inverse PDE problems	220
Starling murmuration optimizer: A novel bio-inspired algorithm for global and engineering optimization	184
Multi-fidelity deep neural network surrogate model for aerodynamic shape optimization	174
A comprehensive and fair comparison of two neural operators (with practical extensions) based on FAIR data	166
A physics-informed variational DeepONet for predicting crack path in quasi-brittle materials	156
A comprehensive study of non-adaptive and residual-based adaptive sampling for physics-informed neural networks	151
Deep generative modeling for mechanistic-based learning and design of metamaterial systems	150
Geometric deep learning for computational mechanics Part I: anisotropic hyperelasticity	134
POD-DL-ROM: Enhancing deep learning-based reduced order models for nonlinear parametrized PDEs by proper orthogonal decomposition	124
Parametric deep energy approach for elasticity accounting for strain gradient effects	122
Smart constitutive laws: Inelastic homogenization through machine learning	113
Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks	111
Unsupervised discovery of interpretable hyperelastic constitutive laws	108
Sobolev training of thermodynamic-informed neural networks for interpretable elasto-plasticity models with level set hardening	107
Modified couple stress-based geometrically nonlinear oscillations of porous functionally graded microplates using NURBS-based isogeometric approach	106
Multi-level convolutional autoencoder networks for parametric prediction of spatio-temporal dynamics	105
Hybrid enhanced Monte Carlo simulation coupled with advanced machine learning approach for accurate and efficient structural reliability analysis	105
Physics-informed graph neural Galerkin networks: A unified framework for solving PDE-governed forward and inverse problems	104

Non-invasive inference of thrombus material properties with physics-informed neural networks	99
Physics informed neural networks for continuum micromechanics	98
Fracture of thermo-elastic solids: Phase-field modeling and new results with an efficient monolithic solver	94
CAN-PINN: A fast physics-informed neural network based on coupled-automatic–numerical differentiation method	94
Deep-learning-based surrogate flow modeling and geological parameterization for data assimilation in 3D subsurface flow	94
Hierarchical Deep Learning Neural Network (HiDeNN): An artificial intelligence (AI) framework for computational science and engineering	93
A novel sequential method to train physics informed neural networks for Allen Cahn and Cahn Hilliard equations	92
An enhanced hybrid arithmetic optimization algorithm for engineering applications	90
Data-driven topology optimization of spinodoid metamaterials with seamlessly tunable anisotropy	88
Physics-informed neural network for modelling the thermochemical curing process of composite-tool systems during manufacture	87
MOMPA: Multi-objective marine predator algorithm	86
A physics-guided neural network framework for elastic plates: Comparison of governing equations-based and energy-based approaches	86
A new family of Constitutive Artificial Neural Networks towards automated model discovery	86
PhyCRNet: Physics-informed convolutional-recurrent network for solving spatiotemporal PDEs	85
Data-driven fracture mechanics	81
Phase field modelling of fracture and fatigue in Shape Memory Alloys	79
DiscretizationNet: A machine-learning based solver for Navier–Stokes equations using finite volume discretization	78
Double-phase-field formulation for mixed-mode fracture in rocks	74
Design of graded lattice sandwich structures by multiscale topology optimization	74
An effective multi-objective artificial hummingbird algorithm with dynamic elimination-based crowding distance for solving engineering design problems	74
Three-dimensional phase-field modeling of mode I + II/III failure in solids	74
Local extreme learning machines and domain decomposition for solving linear and nonlinear partial differential equations	72
Universal machine learning for topology optimization	72
A generalised phase field model for fatigue crack growth in elastic–plastic solids with an efficient monolithic solver	70
Young’s double-slit experiment optimizer : A novel metaheuristic optimization algorithm for global and constraint optimization problems	70
A mixed formulation for physics-informed neural networks as a potential solver for engineering problems in heterogeneous domains: Comparison with finite element method	70
Additive manufacturing oriented topology optimization of structures with self-supported enclosed voids	69
A nonlocal physics-informed deep learning framework using the peridynamic differential operator	68
Body-fitted topology optimization of 2D and 3D fluid-to-fluid heat exchangers	68
Stress constrained multi-material topology optimization with the ordered SIMP method	68
A generic physics-informed neural network-based constitutive model for soft biological tissues	67
Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms	66
Modeling cardiac muscle fibers in ventricular and atrial electrophysiology simulations	66
A meshfree stabilized collocation method (SCM) based on reproducing kernel approximation	65
Bayesian neural networks for uncertainty quantification in data-driven materials modeling	65
A novel fully-decoupled, second-order and energy stable numerical scheme of the conserved Allen–Cahn type flow-coupled binary surfactant model	65
Hybrid and enhanced PSO: Novel first order reliability method-based hybrid intelligent approaches	64
Novel hybrid robust method for uncertain reliability analysis using finite conjugate map	63
PINN-FORM: A new physics-informed neural network for reliability analysis with partial differential equation	63
Multiscale modeling of inelastic materials with Thermodynamics-based Artificial Neural Networks (TANN)	62
A generalized bond-based peridynamic model for quasi-brittle materials enriched with bond tension–rotation–shear coupling effects	62
Bayesian Physics Informed Neural Networks for real-world nonlinear dynamical systems	62
A new reliability method for small failure probability problems by combining the adaptive importance sampling and surrogate models	62
Multi-frequency acoustic topology optimization of sound-absorption materials with isogeometric boundary element methods accelerated by frequency-decoupling and model order reduction techniques	61
Transfer learning based physics-informed neural networks for solving inverse problems in engineering structures under different loading scenarios	61
On physics-informed data-driven isotropic and anisotropic constitutive models through probabilistic machine learning and space-filling sampling	61
Physics-informed neural network simulation of multiphase poroelasticity using stress-split sequential training	59
A stochastic process discretization method combing active learning Kriging model for efficient time-variant reliability analysis	59
A coupled contact heat transfer and thermal cracking model for discontinuous and granular media	58
Probabilistic model updating via variational Bayesian inference and adaptive Gaussian process modeling	57

A novel deep learning-based modelling strategy from image of particles to mechanical properties for granular materials with CNN and BiLSTM	57
A feature-driven robust topology optimization strategy considering movable non-design domain and complex uncertainty	57
Transgranular fracturing of crystalline rocks and its influence on rock strengths: Insights from a grain-scale continuum–discontinuum approach	57
Semi-coupled resolved CFD–DEM simulation of powder-based selective laser melting for additive manufacturing	57
An efficient Kriging based method for time-dependent reliability based robust design optimization via evolutionary algorithm	56
Stress-based and robust topology optimization for thermoelastic multi-material periodic microstructures	56
Full-scale topology optimization for fiber-reinforced structures with continuous fiber paths	56
Inverse design of shell-based mechanical metamaterial with customized loading curves based on machine learning and genetic algorithm	56
Nonlinear vibration of FG-GPLRC dielectric plate with active tuning using differential quadrature method	55
Phase-field modeling of fatigue coupled to cyclic plasticity in an energetic formulation	54
Efficient local adaptive Kriging approximation method with single-loop strategy for reliability-based design optimization	54
Deep learning of thermodynamics-aware reduced-order models from data	54
Machine learning materials physics: Multi-resolution neural networks learn the free energy and nonlinear elastic response of evolving microstructures	53
Numerical approximations of the Navier–Stokes equation coupled with volume-conserved multi-phase-field vesicles system: Fully-decoupled, linear, unconditionally energy stable and second-order time-acc	51
Direct computation of nonlinear mapping via normal form for reduced-order models of finite element nonlinear structures	51
Efficient uncertainty quantification for dynamic subsurface flow with surrogate by Theory-guided Neural Network	51
A physics-informed operator regression framework for extracting data-driven continuum models	51
EMCS-SVR: Hybrid efficient and accurate enhanced simulation approach coupled with adaptive SVR for structural reliability analysis	51
Three-dimensional topology optimization of auxetic metamaterial using isogeometric analysis and model order reduction	50
Multi-fidelity regression using artificial neural networks: Efficient approximation of parameter-dependent output quantities	50
Adaptive higher-order phase-field modeling of anisotropic brittle fracture in 3D polycrystalline materials	50
A novel dynamic reliability-based topology optimization (DRBTO) framework for continuum structures via interval-process collocation and the first-passage theories	50
Deep autoencoders for physics-constrained data-driven nonlinear materials modeling	49
Automated discovery of generalized standard material models with EUCLID	49
A consistent phase field model for hydraulic fracture propagation in poroelastic media	49
Data-driven tissue mechanics with polyconvex neural ordinary differential equations	49
An open-source unconstrained stress updating algorithm for the modified Cam-clay model	48
Interval strategy-based regularization approach for force reconstruction with multi-source uncertainties	48
Three-dimensional finite discrete element-based contact heat transfer model considering thermal cracking in continuous–discontinuous media	48
A massively parallel explicit solver for elasto-dynamic problems exploiting octree meshes	47
Spatial-varying multi-phase infill design using density-based topology optimization	47
Theory-guided Auto-Encoder for surrogate construction and inverse modeling	47
A novel hybrid adaptive Kriging and water cycle algorithm for reliability-based design and optimization strategy: Application in offshore wind turbine monopile	47
Galerkin formulations of isogeometric shell analysis: Alleviating locking with Greville quadratures and higher-order elements	47
Visualizing the invisible: The effect of asymptomatic transmission on the outbreak dynamics of COVID-19	46
Efficient structural reliability analysis based on adaptive Bayesian support vector regression	46
Interfacing finite elements with deep neural operators for fast multiscale modeling of mechanics problems	46
Sparse identification of nonlinear dynamical systems via reweighted	46
An accuracy analysis of Galerkin meshfree methods accounting for numerical integration	46
A sample-efficient deep learning method for multivariate uncertainty qualification of acoustic–vibration interaction problems	45
An element-free study of variable stiffness composite plates with cutouts for enhanced buckling and post-buckling performance	45
A data-driven approach to full-field nonlinear stress distribution and failure pattern prediction in composites using deep learning	45
Residual stress constrained self-support topology optimization for metal additive manufacturing	45
Surrogate modeling of elasto-plastic problems via long short-term memory neural networks and proper orthogonal decomposition	44
A level set driven concurrent reliability-based topology optimization (LS-CRBTO) strategy considering hybrid uncertainty inputs and damage defects updating	44
MCSA: Multi-strategy boosted chameleon-inspired optimization algorithm for engineering applications	44
Free vibration and transient dynamic response of functionally graded sandwich plates with power-law nonhomogeneity by the scaled boundary finite element method	44
A smoothed particle hydrodynamics–peridynamics coupling strategy for modeling fluid–structure interaction problems	43
TONR: An exploration for a novel way combining neural network with topology optimization	43
A robust penalty coupling of non-matching isogeometric Kirchhoff–Love shell patches in large deformations	43
A general deep learning framework for history-dependent response prediction based on UA-Seq2Seq model	43
Data-driven learning of nonlocal physics from high-fidelity synthetic data	43
Data-driven variational multiscale reduced order models	43
Mantis Search Algorithm: A novel bio-inspired algorithm for global optimization and engineering design problems	43
A novel three-dimensional hydraulic fracturing model based on continuum–discontinuum element method	43
Local approximate Gaussian process regression for data-driven constitutive models: development and comparison with neural networks	43
Model-free data-driven computational mechanics enhanced by tensor voting	43
An FE–DMN method for the multiscale analysis of short fiber reinforced plastic components	43
A thermodynamically consistent phase field model for mixed-mode fracture in rock-like materials	43
Novel efficient method for structural reliability analysis using hybrid nonlinear conjugate map-based support vector regression	42
Reduced-order methods for dynamic problems in topology optimization: A comparative study	42
Adaptive phase field method using novel physics based refinement criteria	42
Simulations of Laser Assisted Additive Manufacturing by Smoothed Particle Hydrodynamics	42
A novel smoothed particle hydrodynamics formulation for thermo-capillary phase change problems with focus on metal additive manufacturing melt pool modeling	41
A fast convolution-based method for peridynamic transient diffusion in arbitrary domains	41
Numerical manifold computational homogenization for hydro-dynamic analysis of discontinuous heterogeneous porous media	41
A hybrid meshfree discretization to improve the numerical performance of peridynamic models	41
A new efficient fully-decoupled and second-order time-accurate scheme for Cahn–Hilliard phase-field model of three-phase incompressible flow	41
Structural fatigue life prediction considering model uncertainties through a novel digital twin-driven approach	41
Overall equilibrium in the coupling of peridynamics and classical continuum mechanics	40
Modeling via peridynamics for large deformation and progressive fracture of hyperelastic materials	40
Residual-based adaptivity for two-phase flow simulation in porous media using Physics-informed Neural Networks	40
Probabilistic deep learning for real-time large deformation simulations	39
Deep learned finite elements	39
Efficient data structures for model-free data-driven computational mechanics	39
Recurrent Neural Networks (RNNs) with dimensionality reduction and break down in computational mechanics; application to multi-scale localization step	39
Machine learning-combined topology optimization for functionary graded composite structure design	39
Learning deep Implicit Fourier Neural Operators (IFNOs) with applications to heterogeneous material modeling	39
An adaptive edge-based smoothed finite element method (ES-FEM) for phase-field modeling of fractures at large deformations	38
A general and fast convolution-based method for peridynamics: Applications to elasticity and brittle fracture	38

Iterative surrogate model optimization (ISMO): An active learning algorithm for PDE constrained optimization with deep neural networks	38
Image-based modelling for Adolescent Idiopathic Scoliosis: Mechanistic machine learning analysis and prediction	38
Interior-point methods for the phase-field approach to brittle and ductile fracture	38
Identification of crystal plasticity model parameters by multi-objective optimization integrating microstructural evolution and mechanical data	38
A comprehensive and biophysically detailed computational model of the whole human heart electromechanics	38
A conservative level set method on unstructured meshes for modeling multiphase thermo-fluid flow in additive manufacturing processes	37
Wavelet Neural Operator for solving parametric partial differential equations in computational mechanics problems	37
Multi phase-field modeling of anisotropic crack propagation in 3D fiber-reinforced composites based on an adaptive isogeometric meshfree collocation method	37
A stable node-based smoothed PFEM for solving geotechnical large deformation 2D problems	37
Reliable extrapolation of deep neural operators informed by physics or sparse observations	37
Variational phase-field fracture modeling with interfaces	36
A new multi-material topology optimization algorithm and selection of candidate materials	36
A computational framework for magnetically hard and soft viscoelastic magnetorheological elastomers	36
Thermo-elasto-plastic phase-field modelling of mechanical behaviours of sintered nano-silver with randomly distributed micro-pores	36
A unified water/ice kinematics approach for phase-field thermo-hydro-mechanical modeling of frost action in porous media	36
Strength-induced peridynamic modeling and simulation of fractures in brittle materials	36
Optimization based on performance of lungs in body: Lungs performance-based optimization (LPO)	36
Accelerating phase-field predictions via recurrent neural networks learning the microstructure evolution in latent space	35
A second-order accurate, unconditionally energy stable numerical scheme for binary fluid flows on arbitrarily curved surfaces	35
Unsteady flow prediction from sparse measurements by compressed sensing reduced order modeling	35
A general SPH framework for transient seepage flows through unsaturated porous media considering anisotropic diffusion	35
Phase-field modeling of electromechanical fracture in piezoelectric solids: Analytical results and numerical simulations	35
Kriging-assisted design of functionally graded cellular structures with smoothly-varying lattice unit cells	35
Curvilinear virtual elements for contact mechanics	35
Topology Optimization for additive manufacturing with distortion constraints	35
COVID-19 dynamics across the US: A deep learning study of human mobility and social behavior	35
Structural topology optimization with an adaptive design domain	35
Operator inference for non-intrusive model reduction with quadratic manifolds	35
Extreme learning machine collocation for the numerical solution of elliptic PDEs with sharp gradients	35
Two-phase PFEM with stable nodal integration for large deformation hydromechanical coupled geotechnical problems	35
Finite element solver for data-driven finite strain elasticity	35
Coupling of peridynamics and inverse finite element method for shape sensing and crack propagation monitoring of plate structures	34
Quadratic Interpolation Optimization (QIO): A new optimization algorithm based on generalized quadratic interpolation and its applications to real-world engineering problems	34
A comparison of neural network architectures for data-driven reduced-order modeling	34
A generalized hybrid smoothed particle hydrodynamics–peridynamics algorithm with a novel Lagrangian mapping for solution and failure analysis of fluid–structure interaction problems	34
A hydroelastic fluid–structure interaction solver based on the Riemann-SPH method	34
Analysis-suitable unstructured T-splines: Multiple extraordinary points per face	33
A novel Nested Stochastic Kriging model for response noise quantification and reliability analysis	33
An adaptive mesh refinement algorithm for phase-field fracture models: Application to brittle, cohesive, and dynamic fracture	33
Direct probability integral method for static and dynamic reliability analysis of structures with complicated performance functions	33
A machine learning framework for accelerating the design process using CAE simulations: An application to finite element analysis in structural crashworthiness	33
A fully-discrete decoupled finite element method for the conserved Allen–Cahn type phase-field model of three-phase fluid flow system	33
Variance-based adaptive sequential sampling for Polynomial Chaos Expansion	33
The Neural Network shifted-proper orthogonal decomposition: A machine learning approach for non-linear reduction of hyperbolic equations	33
The statistical finite element method (statFEM) for coherent synthesis of observation data and model predictions	33
3D isogeometric boundary element analysis and structural shape optimization for Helmholtz acoustic scattering problems	32
Multilevel global–local techniques for adaptive ductile phase-field fracture	32
An integrative smoothed particle hydrodynamics method for modeling cardiac function	32
An updated Lagrangian framework for Isogeometric Kirchhoff–Love thin-shell analysis	32
Topology optimization of turbulent rotating flows using Spalart–Allmaras model	32
Domain-decomposition least-squares Petrov–Galerkin (DD-LSPG) nonlinear model reduction	32
Data-driven algorithm for real-time fatigue life prediction of structures with stochastic parameters	32
Learning viscoelasticity models from indirect data using deep neural networks	32
IH-GAN: A conditional generative model for implicit surface-based inverse design of cellular structures	32
A tutorial on the adjoint method for inverse problems	32
Stochastic phase-field modeling of brittle fracture: Computing multiple crack patterns and their probabilities	31
Numerical integration algorithm of updated homogeneous anisotropic hardening model through finite element framework	31
A computationally efficient physiologically comprehensive 3D–0D closed-loop model of the heart and circulation	31
DTCSMO: An efficient hybrid starling murmuration optimizer for engineering applications	31
An efficient monolithic solution scheme for FE2 problems	31
Component-wise reduced order model lattice-type structure design	31
A novel surrogate-model based active learning method for structural reliability analysis	31
A novel elastoplastic topology optimization formulation for enhanced failure resistance via local ductile failure constraints and linear buckling analysis	31
Fully decoupled reliability-based design optimization of structural systems subject to uncertain loads	31
A framework for efficient isogeometric computations of phase-field brittle fracture in multipatch shell structures	31
Coupling total Lagrangian SPH–EISPH for fluid–structure interaction with large deformed hyperelastic solid bodies	31
A parametric level set method for the optimization of composite structures with curvilinear fibers	31
Geometrically nonlinear analysis of sandwich FGM and laminated composite degenerated shells using the isogeometric finite strip method	30
On realizing specific failure initiation criteria in the phase field model	30
Thermodynamically consistent machine-learned internal state variable approach for data-driven modeling of path-dependent materials	30
A digital twin framework for machine learning optimization of aerial fire fighting and pilot safety	30
A data-driven peridynamic continuum model for upscaling molecular dynamics	30
A new level set based multi-material topology optimization method using alternating active-phase algorithm	30
Optimal sparse polynomial chaos expansion for arbitrary probability distribution and its application on global sensitivity analysis	30
Reduced order isogeometric boundary element methods for CAD-integrated shape optimization in electromagnetic scattering	30
IGA-MPM: The Isogeometric Material Point Method	30
Anisotropic elastoplastic response of double-porosity media	30
An effective energy-conserving contact modelling strategy for spherical harmonic particles represented by surface triangular meshes with automatic simplification	30
An accelerated staggered scheme for variational phase-field models of brittle fracture	29
Assessment of the wall-adapting local eddy-viscosity model in transitional boundary layer	29
Topological design of pentamode metamaterials with additive manufacturing	29
Supplementary variable method for thermodynamically consistent partial differential equations	29
A robust monolithic solver for phase-field fracture integrated with fracture energy based arc-length method and under-relaxation	29
Nonlinear model updating through a hierarchical Bayesian modeling framework	29
Arbitrary 3D crack propagation with Improved XFEM: Accurate and efficient crack geometries	29
Abaqus implementation of dual peridynamics for brittle fracture	29
Nitsche’s method for linear Kirchhoff–Love shells: Formulation, error analysis, and verification	29
A new peridynamic mixed-mode bond failure model for interface delamination and homogeneous materials fracture analysis	29
Mosaic flows: A transferable deep learning framework for solving PDEs on unseen domains	29
3D–0D closed-loop model for the simulation of cardiac biventricular electromechanics	29
Topology optimization design of quasi-periodic cellular structures based on erode–dilate operators	29
A viscoelastic micropolar peridynamic model for quasi-brittle materials incorporating loading-rate effects	29
Adaptive surrogate-based harmony search algorithm for design optimization of variable stiffness composite materials	29
System reliability analyses of static and dynamic structures via direct probability integral method	29
Phase-field implicit material point method with the convected particle domain interpolation for brittle–ductile failure transition in geomaterials involving finite deformation	29