Computer Methods in Applied Mechanics and Engineering

Article	Citations
The Arithmetic Optimization Algorithm	1520
An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications	801
Dwarf Mongoose Optimization Algorithm	417
Surrogate modeling for fluid flows based on physics-constrained deep learning without simulation data	397
Artificial hummingbird algorithm: A new bio-inspired optimizer with its engineering applications	387
Conservative physics-informed neural networks on discrete domains for conservation laws: Applications to forward and inverse problems	361
A physics-informed deep learning framework for inversion and surrogate modeling in solid mechanics	345
PPINN: Parareal physics-informed neural network for time-dependent PDEs	228
hp-VPINNs: Variational physics-informed neural networks with domain decomposition	213
SciANN: A Keras/TensorFlow wrapper for scientific computations and physics-informed deep learning using artificial neural networks	178
Physics-informed multi-LSTM networks for metamodeling of nonlinear structures	168
Gradient-enhanced physics-informed neural networks for forward and inverse PDE problems	149
A framework to model the fatigue behavior of brittle materials based on a variational phase-field approach	148
On the eigenvector bias of Fourier feature networks: From regression to solving multi-scale PDEs with physics-informed neural networks	146
Starling murmuration optimizer: A novel bio-inspired algorithm for global and engineering optimization	146
Multi-fidelity deep neural network surrogate model for aerodynamic shape optimization	132
Deep generative modeling for mechanistic-based learning and design of metamaterial systems	116
Designing phononic crystal with anticipated band gap through a deep learning based data-driven method	110
Geometric deep learning for computational mechanics Part I: anisotropic hyperelasticity	106
Hybrid FEM and peridynamic simulation of hydraulic fracture propagation in saturated porous media	101
A recurrent neural network-accelerated multi-scale model for elasto-plastic heterogeneous materials subjected to random cyclic and non-proportional loading paths	99
A physics-informed variational DeepONet for predicting crack path in quasi-brittle materials	99
Modified couple stress-based geometrically nonlinear oscillations of porous functionally graded microplates using NURBS-based isogeometric approach	98
Parametric deep energy approach for elasticity accounting for strain gradient effects	95
A machine learning based plasticity model using proper orthogonal decomposition	95

POD-DL-ROM: Enhancing deep learning-based reduced order models for nonlinear parametrized PDEs by proper orthogonal decomposition	94
Multi-level convolutional autoencoder networks for parametric prediction of spatio-temporal dynamics	93
A comprehensive and fair comparison of two neural operators (with practical extensions) based on FAIR data	92
Smart constitutive laws: Inelastic homogenization through machine learning	91
Hybrid enhanced Monte Carlo simulation coupled with advanced machine learning approach for accurate and efficient structural reliability analysis	85
Novel probabilistic model for searching most probable point in structural reliability analysis	84
Non-invasive inference of thrombus material properties with physics-informed neural networks	82
Acoustic topology optimization of sound absorbing materials directly from subdivision surfaces with isogeometric boundary element methods	82
Sobolev training of thermodynamic-informed neural networks for interpretable elasto-plasticity models with level set hardening	81
A higher order nonlocal operator method for solving partial differential equations	80
Unsupervised discovery of interpretable hyperelastic constitutive laws	79
Thermal field prediction for laser scanning paths in laser aided additive manufacturing by physics-based machine learning	78
Data-driven topology optimization of spinodoid metamaterials with seamlessly tunable anisotropy	77
Hierarchical Deep Learning Neural Network (HiDeNN): An artificial intelligence (AI) framework for computational science and engineering	76
New efficient and robust method for structural reliability analysis and its application in reliability-based design optimization	74
A self-adaptive deep learning algorithm for accelerating multi-component flash calculation	73
A ductile phase-field model based on degrading the fracture toughness: Theory and implementation at small strain	73
MOMPA: Multi-objective marine predator algorithm	72
A comprehensive study of non-adaptive and residual-based adaptive sampling for physics-informed neural networks	72
A phase-field model for mixed-mode fracture based on a unified tensile fracture criterion	72
SO(3)-invariance of informed-graph-based deep neural network for anisotropic elastoplastic materials	72
An enhanced hybrid arithmetic optimization algorithm for engineering applications	71
A sequential calibration and validation framework for model uncertainty quantification and reduction	71
New hybrid reliability-based topology optimization method combining fuzzy and probabilistic models for handling epistemic and aleatory uncertainties	71
Fracture of thermo-elastic solids: Phase-field modeling and new results with an efficient monolithic solver	71
Adaptive fourth-order phase field analysis for brittle fracture	69
The neural particle method – An updated Lagrangian physics informed neural network for computational fluid dynamics	69
A new Lagrange multiplier approach for gradient flows	69
Data-driven fracture mechanics	69
An end-to-end three-dimensional reconstruction framework of porous media from a single two-dimensional image based on deep learning	68
Physics-informed neural network for modelling the thermochemical curing process of composite-tool systems during manufacture	67
De-homogenization of optimal multi-scale 3D topologies	67
An adaptive global–local approach for phase-field modeling of anisotropic brittle fracture	67
An open-source Abaqus implementation of the phase-field method to study the effect of plasticity on the instantaneous fracture toughness in dynamic crack propagation	66
Phase-field modeling of porous-ductile fracture in non-linear thermo-elasto-plastic solids	66
Physics-informed graph neural Galerkin networks: A unified framework for solving PDE-governed forward and inverse problems	65
Data-driven multiscale finite element method: From concurrence to separation	65
Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks	65
Deep-learning-based surrogate flow modeling and geological parameterization for data assimilation in 3D subsurface flow	64
Physics informed neural networks for continuum micromechanics	62
Topology optimization using material-field series expansion and Kriging-based algorithm: An effective non-gradient method	62
A physics-guided neural network framework for elastic plates: Comparison of governing equations-based and energy-based approaches	62
Universal machine learning for topology optimization	61
Phase field modelling of fracture and fatigue in Shape Memory Alloys	61
Three-dimensional phase-field modeling of mode I + II/III failure in solids	60
Novel hybrid robust method for uncertain reliability analysis using finite conjugate map	60
An extended finite element solution for hydraulic fracturing with thermo-hydro-elastic–plastic coupling	59
A phase-field model of frictional shear fracture in geologic materials	59
Double-phase-field formulation for mixed-mode fracture in rocks	59
Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms	59

A nonlocal physics-informed deep learning framework using the peridynamic differential operator	58
Design of graded lattice sandwich structures by multiscale topology optimization	58
Modeling cardiac muscle fibers in ventricular and atrial electrophysiology simulations	58
Localized boundary knot method and its application to large-scale acoustic problems	57
CAN-PINN: A fast physics-informed neural network based on coupled-automatic–numerical differentiation method	57
Body-fitted topology optimization of 2D and 3D fluid-to-fluid heat exchangers	56
Stress constrained multi-material topology optimization with the ordered SIMP method	56
A continuum framework for coupled solid deformation–fluid flow through anisotropic elastoplastic porous media	56
DiscretizationNet: A machine-learning based solver for Navier–Stokes equations using finite volume discretization	56
PhyCRNet: Physics-informed convolutional-recurrent network for solving spatiotemporal PDEs	56
A generalized bond-based peridynamic model for quasi-brittle materials enriched with bond tension–rotation–shear coupling effects	56
Additive manufacturing oriented topology optimization of structures with self-supported enclosed voids	55
A generalised phase field model for fatigue crack growth in elastic–plastic solids with an efficient monolithic solver	55
Strategy for sensor number determination and placement optimization with incomplete information based on interval possibility model and clustering avoidance distribution index	55
A novel sequential method to train physics informed neural networks for Allen Cahn and Cahn Hilliard equations	55
Hydro-mechanical simulation of the saturated and semi-saturated porous soil–rock mixtures using the numerical manifold method	55
A physics-constrained data-driven approach based on locally convex reconstruction for noisy database	54
Hybrid FEM–SBM solver for structural vibration induced underwater acoustic radiation in shallow marine environment	54
A novel fully-decoupled, second-order and energy stable numerical scheme of the conserved Allen–Cahn type flow-coupled binary surfactant model	54
A coupled contact heat transfer and thermal cracking model for discontinuous and granular media	54
Local extreme learning machines and domain decomposition for solving linear and nonlinear partial differential equations	54
Topological design of sandwich structures with graded cellular cores by multiscale optimization	54
A new reliability method for small failure probability problems by combining the adaptive importance sampling and surrogate models	53
A generic physics-informed neural network-based constitutive model for soft biological tissues	53
A meshfree stabilized collocation method (SCM) based on reproducing kernel approximation	53
Hybrid and enhanced PSO: Novel first order reliability method-based hybrid intelligent approaches	52
An effective multi-objective artificial hummingbird algorithm with dynamic elimination-based crowding distance for solving engineering design problems	52
Stabilized material point methods for coupled large deformation and fluid flow in porous materials	52
A review on MPS method developments and applications in nuclear engineering	52
Topology optimization of functionally graded anisotropic composite structures using homogenization design method	50
Data-driven modelling of nonlinear spatio-temporal fluid flows using a deep convolutional generative adversarial network	50
Transgranular fracturing of crystalline rocks and its influence on rock strengths: Insights from a grain-scale continuum–discontinuum approach	50
An immersogeometric formulation for free-surface flows with application to marine engineering problems	50
A stochastic process discretization method combing active learning Kriging model for efficient time-variant reliability analysis	50
An efficient Kriging based method for time-dependent reliability based robust design optimization via evolutionary algorithm	50
Fourier series-based discrete element method for computational mechanics of irregular-shaped particles	49
A novel deep learning-based modelling strategy from image of particles to mechanical properties for granular materials with CNN and BiLSTM	49
Multilevel and multifidelity uncertainty quantification for cardiovascular hemodynamics	49
Artificial neural networks in structural dynamics: A new modular radial basis function approach vs. convolutional and feedforward topologies	49
Probabilistic model updating via variational Bayesian inference and adaptive Gaussian process modeling	49
Machine learning materials physics: Multi-resolution neural networks learn the free energy and nonlinear elastic response of evolving microstructures	49
3D concurrent multiscale model for crack propagation in concrete	48
Multi-material topology optimization of lattice structures using geometry projection	48
A new family of Constitutive Artificial Neural Networks towards automated model discovery	48
Detailed study on the extension of the δ-SPH model to multi-phase f	48
Phase-field modeling of fatigue coupled to cyclic plasticity in an energetic formulation	48
Nonlinear vibration of FG-GPLRC dielectric plate with active tuning using differential quadrature method	48
Semi-coupled resolved CFD–DEM simulation of powder-based selective laser melting for additive manufacturing	47
A radial basis function artificial neural network (RBF ANN) based method for uncertain distributed force reconstruction considering signal noises and material dispersion	47
Multi-frequency acoustic topology optimization of sound-absorption materials with isogeometric boundary element methods accelerated by frequency-decoupling and model order reduction techniques	47
Full-scale topology optimization for fiber-reinforced structures with continuous fiber paths	47
Efficient multiscale modeling for woven composites based on self-consistent clustering analysis	47
A novel dynamic reliability-based topology optimization (DRBTO) framework for continuum structures via interval-process collocation and the first-passage theories	47
FEA-Net: A physics-guided data-driven model for efficient mechanical response prediction	46
Visualizing the invisible: The effect of asymptomatic transmission on the outbreak dynamics of COVID-19	46
Deep learning of thermodynamics-aware reduced-order models from data	46
Spatial-varying multi-phase infill design using density-based topology optimization	44
Bayesian neural networks for uncertainty quantification in data-driven materials modeling	44
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	44
A multiphase SPH model based on Roe’s approximate Riemann solver for hydraulic flows with complex interface	44
On physics-informed data-driven isotropic and anisotropic constitutive models through probabilistic machine learning and space-filling sampling	44
Simulation-based Anomaly Detection and Damage Localization: An application to Structural Health Monitoring	44
A phase-field model of fracture with frictionless contact and random fracture properties: Application to thin-film fracture and soil desiccation	44
Adaptive higher-order phase-field modeling of anisotropic brittle fracture in 3D polycrystalline materials	44
Efficient local adaptive Kriging approximation method with single-loop strategy for reliability-based design optimization	43
Material and shape optimization of bi-directional functionally graded plates by GIGA and an improved multi-objective particle swarm optimization algorithm	43
Free vibration and transient dynamic response of functionally graded sandwich plates with power-law nonhomogeneity by the scaled boundary finite element method	42
Three-dimensional finite discrete element-based contact heat transfer model considering thermal cracking in continuous–discontinuous media	42
A feature-driven robust topology optimization strategy considering movable non-design domain and complex uncertainty	42
Isogeometric analysis of fiber reinforced composites using Kirchhoff–Love shell elements	42
Sensitivity analysis of a strongly-coupled human-based electromechanical cardiac model: Effect of mechanical parameters on physiologically relevant biomarkers	42
Stress-related topology optimization of shell structures using IGA/TSA-based Moving Morphable Void (MMV) approach	42
Efficient uncertainty quantification for dynamic subsurface flow with surrogate by Theory-guided Neural Network	42
A mixed formulation for physics-informed neural networks as a potential solver for engineering problems in heterogeneous domains: Comparison with finite element method	42
A machine-learning framework for rapid adaptive digital-twin based fire-propagation simulation in complex environments	42
Fast implicit solvers for phase-field fracture problems on heterogeneous microstructures	41
Multiscale modeling of inelastic materials with Thermodynamics-based Artificial Neural Networks (TANN)	41
FFT-based solver for higher-order and multi-phase-field fracture models applied to strongly anisotropic brittle materials	41
Galerkin formulations of isogeometric shell analysis: Alleviating locking with Greville quadratures and higher-order elements	41
Direct computation of nonlinear mapping via normal form for reduced-order models of finite element nonlinear structures	41

Multiscale modeling of thermo-mechanical responses of granular materials: A hierarchical continuum–discrete coupling approach	41
Multi-material thermomechanical topology optimization with applications to additive manufacturing: Design of main composite part and its support structure	41
An element-free study of variable stiffness composite plates with cutouts for enhanced buckling and post-buckling performance	40
Physics-informed neural network simulation of multiphase poroelasticity using stress-split sequential training	40
Multi-fidelity regression using artificial neural networks: Efficient approximation of parameter-dependent output quantities	40
Efficient structural reliability analysis based on adaptive Bayesian support vector regression	40
Three-dimensional topology optimization of auxetic metamaterial using isogeometric analysis and model order reduction	40
Topology optimization method with finite elements based on the k-εtu	40
Isogeometric topology optimization for computational design of re-entrant and chiral auxetic composites	40
A physics-informed operator regression framework for extracting data-driven continuum models	40
Sparse identification of nonlinear dynamical systems via reweighted	39
Data-driven learning of nonlocal physics from high-fidelity synthetic data	39
Machine learning of multiscale active force generation models for the efficient simulation of cardiac electromechanics	39
Modeling the porous and viscous responses of human brain tissue behavior	39
Model-free data-driven computational mechanics enhanced by tensor voting	39
IPACS: Integrated Phase-Field Advanced Crack Propagation Simulator. An adaptive, parallel, physics-based-discretization phase-field framework for fracture propagation in porous media	39
A consistent phase field model for hydraulic fracture propagation in poroelastic media	39
Stress-based and robust topology optimization for thermoelastic multi-material periodic microstructures	39
An intelligent nonlinear meta element for elastoplastic continua: deep learning using a new Time-distributed Residual U-Net architecture	39
A general deep learning framework for history-dependent response prediction based on UA-Seq2Seq model	38
Crack growth adaptive XIGA simulation in isotropic and orthotropic materials	38
A level set driven concurrent reliability-based topology optimization (LS-CRBTO) strategy considering hybrid uncertainty inputs and damage defects updating	38
Interfacing finite elements with deep neural operators for fast multiscale modeling of mechanics problems	38
An FE–DMN method for the multiscale analysis of short fiber reinforced plastic components	38
Imposing minimum and maximum member size, minimum cavity size, and minimum separation distance between solid members in topology optimization	38
Young’s double-slit experiment optimizer : A novel metaheuristic optimization algorithm for global and constraint optimization problems	38
EMCS-SVR: Hybrid efficient and accurate enhanced simulation approach coupled with adaptive SVR for structural reliability analysis	38
Data-driven streamline stiffener path optimization (SSPO) for sparse stiffener layout design of non-uniform curved grid-stiffened composite (NCGC) structures	38
A new efficient fully-decoupled and second-order time-accurate scheme for Cahn–Hilliard phase-field model of three-phase incompressible flow	37
Unconditionally energy stable large time stepping method for the L	37
Bayesian Physics Informed Neural Networks for real-world nonlinear dynamical systems	37
Accelerating fatigue simulations of a phase-field damage model for rubber	37
Data-driven variational multiscale reduced order models	36
A smoothed particle hydrodynamics–peridynamics coupling strategy for modeling fluid–structure interaction problems	36
A robust penalty coupling of non-matching isogeometric Kirchhoff–Love shell patches in large deformations	36
Level set splitting in DEM for modeling breakage mechanics	36
A hybrid meshfree discretization to improve the numerical performance of peridynamic models	36
Deep autoencoders for physics-constrained data-driven nonlinear materials modeling	36
Robust concurrent topology optimization of structure and its composite material considering uncertainty with imprecise probability	36
A sample-efficient deep learning method for multivariate uncertainty qualification of acoustic–vibration interaction problems	36
An accuracy analysis of Galerkin meshfree methods accounting for numerical integration	36
Data-driven inverse modelling through neural network (deep learning) and computational heat transfer	36
Numerical manifold computational homogenization for hydro-dynamic analysis of discontinuous heterogeneous porous media	36
A non-intrusive multifidelity method for the reduced order modeling of nonlinear problems	36
A micro-mechanical model for unsaturated soils based on DEM	36
Topology optimization of compliant mechanisms considering stress constraints, manufacturing uncertainty and geometric nonlinearity	36
Level-set topology optimization considering nonlinear thermoelasticity	36
A massively parallel explicit solver for elasto-dynamic problems exploiting octree meshes	36
A novel smoothed particle hydrodynamics formulation for thermo-capillary phase change problems with focus on metal additive manufacturing melt pool modeling	36
M-VCUT level set method for optimizing cellular structures	36
Towards solving large-scale topology optimization problems with buckling constraints at the cost of linear analyses	36
Residual stress constrained self-support topology optimization for metal additive manufacturing	36
An isogeometric Reissner–Mindlin shell element based on Bézier dual basis functions: Overcoming locking and improved coarse mesh accuracy	35
A fast convolution-based method for peridynamic transient diffusion in arbitrary domains	35
Monolithic convex limiting for continuous finite element discretizations of hyperbolic conservation laws	35
Simulations of Laser Assisted Additive Manufacturing by Smoothed Particle Hydrodynamics	35
Surrogate modeling of elasto-plastic problems via long short-term memory neural networks and proper orthogonal decomposition	35
Structural fatigue life prediction considering model uncertainties through a novel digital twin-driven approach	35
A thermodynamically consistent phase field model for mixed-mode fracture in rock-like materials	35
A conservative level set method on unstructured meshes for modeling multiphase thermo-fluid flow in additive manufacturing processes	34
Efficient data structures for model-free data-driven computational mechanics	34
Interior-point methods for the phase-field approach to brittle and ductile fracture	34
Probabilistic deep learning for real-time large deformation simulations	34
Overhang control based on front propagation in 3D topology optimization for additive manufacturing	34
MCSA: Multi-strategy boosted chameleon-inspired optimization algorithm for engineering applications	34
A stable node-based smoothed PFEM for solving geotechnical large deformation 2D problems	34
Iterative surrogate model optimization (ISMO): An active learning algorithm for PDE constrained optimization with deep neural networks	34
Novel efficient method for structural reliability analysis using hybrid nonlinear conjugate map-based support vector regression	34
Local approximate Gaussian process regression for data-driven constitutive models: development and comparison with neural networks	33
Deep learned finite elements	33
A three-dimensional Hellinger–Reissner virtual element method for linear elasticity problems	33
TONR: An exploration for a novel way combining neural network with topology optimization	33
Deep material network with cohesive layers: Multi-stage training and interfacial failure analysis	33
Sensitivity analysis and lattice density optimization for sequential inherent strain method used in additive manufacturing process	32
A computational model for simulation of steel fibre reinforced concrete with explicit fibres and cracks	32
On crack opening computation in variational phase-field models for fracture	32
Reduced-order methods for dynamic problems in topology optimization: A comparative study	32
An adaptive edge-based smoothed finite element method (ES-FEM) for phase-field modeling of fractures at large deformations	32
Stress-constrained level set topology optimization for compliant mechanisms	32
Data-driven tissue mechanics with polyconvex neural ordinary differential equations	32
COVID-19 dynamics across the US: A deep learning study of human mobility and social behavior	32
A novel three-dimensional hydraulic fracturing model based on continuum–discontinuum element method	32
A second-order accurate, unconditionally energy stable numerical scheme for binary fluid flows on arbitrarily curved surfaces	32
A general frame for uncertainty propagation under multimodally distributed random variables	32
Overall equilibrium in the coupling of peridynamics and classical continuum mechanics	32
A unified water/ice kinematics approach for phase-field thermo-hydro-mechanical modeling of frost action in porous media	32
Strength-induced peridynamic modeling and simulation of fractures in brittle materials	31
Optimal design of shell-graded-infill structures by a hybrid MMC-MMV approach	31
A computational framework for magnetically hard and soft viscoelastic magnetorheological elastomers	31
Image-based modelling for Adolescent Idiopathic Scoliosis: Mechanistic machine learning analysis and prediction	31
A phase field model for cohesive fracture in micropolar continua	31
An immersed-boundary/isogeometric method for fluid–structure interaction involving thin shells	31
Two-phase PFEM with stable nodal integration for large deformation hydromechanical coupled geotechnical problems	31
Multi phase-field modeling of anisotropic crack propagation in 3D fiber-reinforced composites based on an adaptive isogeometric meshfree collocation method	31
A new type of peridynamics: Element-based peridynamics	31