Computer Methods in Applied Mechanics and Engineering

Article	Citations
The Arithmetic Optimization Algorithm	1649
Dwarf Mongoose Optimization Algorithm	498
Artificial hummingbird algorithm: A new bio-inspired optimizer with its engineering applications	444
A physics-informed deep learning framework for inversion and surrogate modeling in solid mechanics	405
PPINN: Parareal physics-informed neural network for time-dependent PDEs	256
hp-VPINNs: Variational physics-informed neural networks with domain decomposition	254
SciANN: A Keras/TensorFlow wrapper for scientific computations and physics-informed deep learning using artificial neural networks	194
On the eigenvector bias of Fourier feature networks: From regression to solving multi-scale PDEs with physics-informed neural networks	191
Physics-informed multi-LSTM networks for metamodeling of nonlinear structures	190
Gradient-enhanced physics-informed neural networks for forward and inverse PDE problems	178
Starling murmuration optimizer: A novel bio-inspired algorithm for global and engineering optimization	174
Multi-fidelity deep neural network surrogate model for aerodynamic shape optimization	153
Deep generative modeling for mechanistic-based learning and design of metamaterial systems	135
A comprehensive and fair comparison of two neural operators (with practical extensions) based on FAIR data	134
A physics-informed variational DeepONet for predicting crack path in quasi-brittle materials	126
Geometric deep learning for computational mechanics Part I: anisotropic hyperelasticity	123
Parametric deep energy approach for elasticity accounting for strain gradient effects	113
A recurrent neural network-accelerated multi-scale model for elasto-plastic heterogeneous materials subjected to random cyclic and non-proportional loading paths	111
Hybrid FEM and peridynamic simulation of hydraulic fracture propagation in saturated porous media	109
POD-DL-ROM: Enhancing deep learning-based reduced order models for nonlinear parametrized PDEs by proper orthogonal decomposition	108
A comprehensive study of non-adaptive and residual-based adaptive sampling for physics-informed neural networks	107
Smart constitutive laws: Inelastic homogenization through machine learning	104
Modified couple stress-based geometrically nonlinear oscillations of porous functionally graded microplates using NURBS-based isogeometric approach	103
Multi-level convolutional autoencoder networks for parametric prediction of spatio-temporal dynamics	98
Hybrid enhanced Monte Carlo simulation coupled with advanced machine learning approach for accurate and efficient structural reliability analysis	96

Unsupervised discovery of interpretable hyperelastic constitutive laws	94
Sobolev training of thermodynamic-informed neural networks for interpretable elasto-plasticity models with level set hardening	93
Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks	92
Non-invasive inference of thrombus material properties with physics-informed neural networks	91
Hierarchical Deep Learning Neural Network (HiDeNN): An artificial intelligence (AI) framework for computational science and engineering	89
A higher order nonlocal operator method for solving partial differential equations	86
Data-driven topology optimization of spinodoid metamaterials with seamlessly tunable anisotropy	84
Novel probabilistic model for searching most probable point in structural reliability analysis	84
MOMPA: Multi-objective marine predator algorithm	82
Fracture of thermo-elastic solids: Phase-field modeling and new results with an efficient monolithic solver	82
New efficient and robust method for structural reliability analysis and its application in reliability-based design optimization	82
An enhanced hybrid arithmetic optimization algorithm for engineering applications	82
Physics informed neural networks for continuum micromechanics	82
A phase-field model for mixed-mode fracture based on a unified tensile fracture criterion	80
Physics-informed graph neural Galerkin networks: A unified framework for solving PDE-governed forward and inverse problems	79
Deep-learning-based surrogate flow modeling and geological parameterization for data assimilation in 3D subsurface flow	79
Physics-informed neural network for modelling the thermochemical curing process of composite-tool systems during manufacture	79
A ductile phase-field model based on degrading the fracture toughness: Theory and implementation at small strain	79
A new Lagrange multiplier approach for gradient flows	77
An end-to-end three-dimensional reconstruction framework of porous media from a single two-dimensional image based on deep learning	77
A self-adaptive deep learning algorithm for accelerating multi-component flash calculation	76
Data-driven fracture mechanics	75
The neural particle method – An updated Lagrangian physics informed neural network for computational fluid dynamics	74
A physics-guided neural network framework for elastic plates: Comparison of governing equations-based and energy-based approaches	74
A sequential calibration and validation framework for model uncertainty quantification and reduction	73
A novel sequential method to train physics informed neural networks for Allen Cahn and Cahn Hilliard equations	72
Phase field modelling of fracture and fatigue in Shape Memory Alloys	71
DiscretizationNet: A machine-learning based solver for Navier–Stokes equations using finite volume discretization	69
CAN-PINN: A fast physics-informed neural network based on coupled-automatic–numerical differentiation method	68
Universal machine learning for topology optimization	68
Double-phase-field formulation for mixed-mode fracture in rocks	67
Design of graded lattice sandwich structures by multiscale topology optimization	66
Local extreme learning machines and domain decomposition for solving linear and nonlinear partial differential equations	66
A generalised phase field model for fatigue crack growth in elastic–plastic solids with an efficient monolithic solver	66
A nonlocal physics-informed deep learning framework using the peridynamic differential operator	66
PhyCRNet: Physics-informed convolutional-recurrent network for solving spatiotemporal PDEs	65
A new family of Constitutive Artificial Neural Networks towards automated model discovery	65
A generic physics-informed neural network-based constitutive model for soft biological tissues	65
Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms	64
Modeling cardiac muscle fibers in ventricular and atrial electrophysiology simulations	63
Three-dimensional phase-field modeling of mode I + II/III failure in solids	63
Stress constrained multi-material topology optimization with the ordered SIMP method	63
Body-fitted topology optimization of 2D and 3D fluid-to-fluid heat exchangers	63
An effective multi-objective artificial hummingbird algorithm with dynamic elimination-based crowding distance for solving engineering design problems	62
Novel hybrid robust method for uncertain reliability analysis using finite conjugate map	62
Hybrid and enhanced PSO: Novel first order reliability method-based hybrid intelligent approaches	61
A meshfree stabilized collocation method (SCM) based on reproducing kernel approximation	61
Hybrid FEM–SBM solver for structural vibration induced underwater acoustic radiation in shallow marine environment	60
Additive manufacturing oriented topology optimization of structures with self-supported enclosed voids	60
A novel fully-decoupled, second-order and energy stable numerical scheme of the conserved Allen–Cahn type flow-coupled binary surfactant model	59

Hydro-mechanical simulation of the saturated and semi-saturated porous soil–rock mixtures using the numerical manifold method	59
A new reliability method for small failure probability problems by combining the adaptive importance sampling and surrogate models	58
Detailed study on the extension of the δ-SPH model to multi-phase f	58
A phase-field model of frictional shear fracture in geologic materials	58
A generalized bond-based peridynamic model for quasi-brittle materials enriched with bond tension–rotation–shear coupling effects	57
A continuum framework for coupled solid deformation–fluid flow through anisotropic elastoplastic porous media	57
A stochastic process discretization method combing active learning Kriging model for efficient time-variant reliability analysis	57
A review on MPS method developments and applications in nuclear engineering	57
A coupled contact heat transfer and thermal cracking model for discontinuous and granular media	57
Multi-frequency acoustic topology optimization of sound-absorption materials with isogeometric boundary element methods accelerated by frequency-decoupling and model order reduction techniques	56
Bayesian neural networks for uncertainty quantification in data-driven materials modeling	56
A feature-driven robust topology optimization strategy considering movable non-design domain and complex uncertainty	55
Strategy for sensor number determination and placement optimization with incomplete information based on interval possibility model and clustering avoidance distribution index	55
Transgranular fracturing of crystalline rocks and its influence on rock strengths: Insights from a grain-scale continuum–discontinuum approach	55
Topology optimization of functionally graded anisotropic composite structures using homogenization design method	54
Probabilistic model updating via variational Bayesian inference and adaptive Gaussian process modeling	54
On physics-informed data-driven isotropic and anisotropic constitutive models through probabilistic machine learning and space-filling sampling	54
An efficient Kriging based method for time-dependent reliability based robust design optimization via evolutionary algorithm	53
Semi-coupled resolved CFD–DEM simulation of powder-based selective laser melting for additive manufacturing	53
Multiscale modeling of inelastic materials with Thermodynamics-based Artificial Neural Networks (TANN)	53
Full-scale topology optimization for fiber-reinforced structures with continuous fiber paths	52
Nonlinear vibration of FG-GPLRC dielectric plate with active tuning using differential quadrature method	52
A novel deep learning-based modelling strategy from image of particles to mechanical properties for granular materials with CNN and BiLSTM	52
A mixed formulation for physics-informed neural networks as a potential solver for engineering problems in heterogeneous domains: Comparison with finite element method	52
A novel dynamic reliability-based topology optimization (DRBTO) framework for continuum structures via interval-process collocation and the first-passage theories	51
Young’s double-slit experiment optimizer : A novel metaheuristic optimization algorithm for global and constraint optimization problems	51
Physics-informed neural network simulation of multiphase poroelasticity using stress-split sequential training	50
Machine learning materials physics: Multi-resolution neural networks learn the free energy and nonlinear elastic response of evolving microstructures	50
Deep learning of thermodynamics-aware reduced-order models from data	50
Phase-field modeling of fatigue coupled to cyclic plasticity in an energetic formulation	49
Efficient local adaptive Kriging approximation method with single-loop strategy for reliability-based design optimization	49
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	48
Material and shape optimization of bi-directional functionally graded plates by GIGA and an improved multi-objective particle swarm optimization algorithm	48
Adaptive higher-order phase-field modeling of anisotropic brittle fracture in 3D polycrystalline materials	48
Three-dimensional finite discrete element-based contact heat transfer model considering thermal cracking in continuous–discontinuous media	48
Three-dimensional topology optimization of auxetic metamaterial using isogeometric analysis and model order reduction	47
Stress-based and robust topology optimization for thermoelastic multi-material periodic microstructures	47
PINN-FORM: A new physics-informed neural network for reliability analysis with partial differential equation	47
Efficient uncertainty quantification for dynamic subsurface flow with surrogate by Theory-guided Neural Network	47
Stress-related topology optimization of shell structures using IGA/TSA-based Moving Morphable Void (MMV) approach	46
Spatial-varying multi-phase infill design using density-based topology optimization	46
A phase-field model of fracture with frictionless contact and random fracture properties: Application to thin-film fracture and soil desiccation	46
Visualizing the invisible: The effect of asymptomatic transmission on the outbreak dynamics of COVID-19	46
EMCS-SVR: Hybrid efficient and accurate enhanced simulation approach coupled with adaptive SVR for structural reliability analysis	46
Modeling the porous and viscous responses of human brain tissue behavior	46
Multiscale modeling of thermo-mechanical responses of granular materials: A hierarchical continuum–discrete coupling approach	46
Bayesian Physics Informed Neural Networks for real-world nonlinear dynamical systems	46
Direct computation of nonlinear mapping via normal form for reduced-order models of finite element nonlinear structures	45
Deep autoencoders for physics-constrained data-driven nonlinear materials modeling	45
A consistent phase field model for hydraulic fracture propagation in poroelastic media	45
Multi-fidelity regression using artificial neural networks: Efficient approximation of parameter-dependent output quantities	44
An accuracy analysis of Galerkin meshfree methods accounting for numerical integration	44
A physics-informed operator regression framework for extracting data-driven continuum models	44
Efficient structural reliability analysis based on adaptive Bayesian support vector regression	43
Sparse identification of nonlinear dynamical systems via reweighted	43
Transfer learning based physics-informed neural networks for solving inverse problems in engineering structures under different loading scenarios	43
An intelligent nonlinear meta element for elastoplastic continua: deep learning using a new Time-distributed Residual U-Net architecture	43
An element-free study of variable stiffness composite plates with cutouts for enhanced buckling and post-buckling performance	43
Galerkin formulations of isogeometric shell analysis: Alleviating locking with Greville quadratures and higher-order elements	43
IPACS: Integrated Phase-Field Advanced Crack Propagation Simulator. An adaptive, parallel, physics-based-discretization phase-field framework for fracture propagation in porous media	42
A general deep learning framework for history-dependent response prediction based on UA-Seq2Seq model	42
A level set driven concurrent reliability-based topology optimization (LS-CRBTO) strategy considering hybrid uncertainty inputs and damage defects updating	42
Inverse design of shell-based mechanical metamaterial with customized loading curves based on machine learning and genetic algorithm	42
M-VCUT level set method for optimizing cellular structures	42
TONR: An exploration for a novel way combining neural network with topology optimization	42
Free vibration and transient dynamic response of functionally graded sandwich plates with power-law nonhomogeneity by the scaled boundary finite element method	42
Machine learning of multiscale active force generation models for the efficient simulation of cardiac electromechanics	42
Interfacing finite elements with deep neural operators for fast multiscale modeling of mechanics problems	41
Data-driven tissue mechanics with polyconvex neural ordinary differential equations	41
A smoothed particle hydrodynamics–peridynamics coupling strategy for modeling fluid–structure interaction problems	41
A massively parallel explicit solver for elasto-dynamic problems exploiting octree meshes	41
Imposing minimum and maximum member size, minimum cavity size, and minimum separation distance between solid members in topology optimization	41
Data-driven learning of nonlocal physics from high-fidelity synthetic data	41
An FE–DMN method for the multiscale analysis of short fiber reinforced plastic components	41
A sample-efficient deep learning method for multivariate uncertainty qualification of acoustic–vibration interaction problems	41
Data-driven variational multiscale reduced order models	40
Adaptive phase field method using novel physics based refinement criteria	40
A new efficient fully-decoupled and second-order time-accurate scheme for Cahn–Hilliard phase-field model of three-phase incompressible flow	40
Residual stress constrained self-support topology optimization for metal additive manufacturing	40
Local approximate Gaussian process regression for data-driven constitutive models: development and comparison with neural networks	40

Numerical manifold computational homogenization for hydro-dynamic analysis of discontinuous heterogeneous porous media	40
A novel smoothed particle hydrodynamics formulation for thermo-capillary phase change problems with focus on metal additive manufacturing melt pool modeling	40
A thermodynamically consistent phase field model for mixed-mode fracture in rock-like materials	40
Model-free data-driven computational mechanics enhanced by tensor voting	40
A robust penalty coupling of non-matching isogeometric Kirchhoff–Love shell patches in large deformations	40
Data-driven inverse modelling through neural network (deep learning) and computational heat transfer	40
A hybrid meshfree discretization to improve the numerical performance of peridynamic models	40
Theory-guided Auto-Encoder for surrogate construction and inverse modeling	39
A fast convolution-based method for peridynamic transient diffusion in arbitrary domains	39
Accelerating fatigue simulations of a phase-field damage model for rubber	39
A novel three-dimensional hydraulic fracturing model based on continuum–discontinuum element method	39
Surrogate modeling of elasto-plastic problems via long short-term memory neural networks and proper orthogonal decomposition	39
Reduced-order methods for dynamic problems in topology optimization: A comparative study	39
An isogeometric Reissner–Mindlin shell element based on Bézier dual basis functions: Overcoming locking and improved coarse mesh accuracy	38
On crack opening computation in variational phase-field models for fracture	38
A data-driven approach to full-field nonlinear stress distribution and failure pattern prediction in composites using deep learning	38
Novel efficient method for structural reliability analysis using hybrid nonlinear conjugate map-based support vector regression	38
Simulations of Laser Assisted Additive Manufacturing by Smoothed Particle Hydrodynamics	38
MCSA: Multi-strategy boosted chameleon-inspired optimization algorithm for engineering applications	38
A micro-mechanical model for unsaturated soils based on DEM	38
Structural fatigue life prediction considering model uncertainties through a novel digital twin-driven approach	37
Interval strategy-based regularization approach for force reconstruction with multi-source uncertainties	36
A stable node-based smoothed PFEM for solving geotechnical large deformation 2D problems	36
Identification of crystal plasticity model parameters by multi-objective optimization integrating microstructural evolution and mechanical data	36
An open-source unconstrained stress updating algorithm for the modified Cam-clay model	36
An adaptive edge-based smoothed finite element method (ES-FEM) for phase-field modeling of fractures at large deformations	36
Interior-point methods for the phase-field approach to brittle and ductile fracture	36
Deep learned finite elements	36
A second-order accurate, unconditionally energy stable numerical scheme for binary fluid flows on arbitrarily curved surfaces	35
A conservative level set method on unstructured meshes for modeling multiphase thermo-fluid flow in additive manufacturing processes	35
Probabilistic deep learning for real-time large deformation simulations	35
Overhang control based on front propagation in 3D topology optimization for additive manufacturing	35
Image-based modelling for Adolescent Idiopathic Scoliosis: Mechanistic machine learning analysis and prediction	35
Overall equilibrium in the coupling of peridynamics and classical continuum mechanics	35
A computational framework for magnetically hard and soft viscoelastic magnetorheological elastomers	35
Efficient data structures for model-free data-driven computational mechanics	35
Automated discovery of generalized standard material models with EUCLID	35
A general frame for uncertainty propagation under multimodally distributed random variables	35
Multi phase-field modeling of anisotropic crack propagation in 3D fiber-reinforced composites based on an adaptive isogeometric meshfree collocation method	35
Iterative surrogate model optimization (ISMO): An active learning algorithm for PDE constrained optimization with deep neural networks	35
COVID-19 dynamics across the US: A deep learning study of human mobility and social behavior	34
Higher-order nonlocal theory of Updated Lagrangian Particle Hydrodynamics (ULPH) and simulations of multiphase flows	34
A new type of peridynamics: Element-based peridynamics	34
Machine learning-combined topology optimization for functionary graded composite structure design	34
A novel hybrid adaptive Kriging and water cycle algorithm for reliability-based design and optimization strategy: Application in offshore wind turbine monopile	34
Thermo-elasto-plastic phase-field modelling of mechanical behaviours of sintered nano-silver with randomly distributed micro-pores	34
A unified water/ice kinematics approach for phase-field thermo-hydro-mechanical modeling of frost action in porous media	34
Variational phase-field fracture modeling with interfaces	34
Strength-induced peridynamic modeling and simulation of fractures in brittle materials	34
Kriging-assisted design of functionally graded cellular structures with smoothly-varying lattice unit cells	33
A general and fast convolution-based method for peridynamics: Applications to elasticity and brittle fracture	33
A novel Nested Stochastic Kriging model for response noise quantification and reliability analysis	33
Optimal design of shell-graded-infill structures by a hybrid MMC-MMV approach	33
Sensitivity analysis and lattice density optimization for sequential inherent strain method used in additive manufacturing process	33
Two-phase PFEM with stable nodal integration for large deformation hydromechanical coupled geotechnical problems	33
A phase field model for cohesive fracture in micropolar continua	33
Curvilinear virtual elements for contact mechanics	33
Direct probability integral method for static and dynamic reliability analysis of structures with complicated performance functions	33
A comprehensive and biophysically detailed computational model of the whole human heart electromechanics	33
Multilevel global–local techniques for adaptive ductile phase-field fracture	32
A concurrent multiscale study of dynamic fracture	32
Surrogate permeability modelling of low-permeable rocks using convolutional neural networks	32
Structural topology optimization with an adaptive design domain	32
Topology Optimization for additive manufacturing with distortion constraints	32
A fast reduced-order model for radial integral boundary element method based on proper orthogonal decomposition in nonlinear transient heat conduction problems	32
A framework for efficient isogeometric computations of phase-field brittle fracture in multipatch shell structures	31
A tutorial on the adjoint method for inverse problems	31
Phase-field modeling of electromechanical fracture in piezoelectric solids: Analytical results and numerical simulations	31
The Neural Network shifted-proper orthogonal decomposition: A machine learning approach for non-linear reduction of hyperbolic equations	31
A variational multiscale framework for atmospheric turbulent flows over complex environmental terrains	31
Data-driven surrogates for high dimensional models using Gaussian process regression on the Grassmann manifold	31
Adaptive multi-material topology optimization with hyperelastic materials under large deformations: A virtual element approach	31
A hydroelastic fluid–structure interaction solver based on the Riemann-SPH method	31
An adaptive mesh refinement algorithm for phase-field fracture models: Application to brittle, cohesive, and dynamic fracture	31
Accelerating phase-field predictions via recurrent neural networks learning the microstructure evolution in latent space	31
Numerical simulation of binary fluid–surfactant phase field model coupled with geometric curvature on the curved surface	30
Mantis Search Algorithm: A novel bio-inspired algorithm for global optimization and engineering design problems	30
Recurrent Neural Networks (RNNs) with dimensionality reduction and break down in computational mechanics; application to multi-scale localization step	30
Unsteady flow prediction from sparse measurements by compressed sensing reduced order modeling	30
A fully-discrete decoupled finite element method for the conserved Allen–Cahn type phase-field model of three-phase fluid flow system	30
Topology optimization of turbulent rotating flows using Spalart–Allmaras model	30
Geometrically nonlinear analysis of sandwich FGM and laminated composite degenerated shells using the isogeometric finite strip method	30
Fully decoupled reliability-based design optimization of structural systems subject to uncertain loads	30
Phase field modeling of fracture in Quasi-Brittle materials using natural neighbor Galerkin method	30
Finite element solver for data-driven finite strain elasticity	30
Learning viscoelasticity models from indirect data using deep neural networks	30
Stochastic phase-field modeling of brittle fracture: Computing multiple crack patterns and their probabilities	30
Coupling of peridynamics and inverse finite element method for shape sensing and crack propagation monitoring of plate structures	30
Residual-based adaptivity for two-phase flow simulation in porous media using Physics-informed Neural Networks	30
Coupling total Lagrangian SPH–EISPH for fluid–structure interaction with large deformed hyperelastic solid bodies	30
Operator inference for non-intrusive model reduction with quadratic manifolds	29
A machine learning framework for accelerating the design process using CAE simulations: An application to finite element analysis in structural crashworthiness	29
Modeling via peridynamics for large deformation and progressive fracture of hyperelastic materials	29
Data-driven algorithm for real-time fatigue life prediction of structures with stochastic parameters	29
The statistical finite element method (statFEM) for coherent synthesis of observation data and model predictions	29