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Multi-language and Multi-environment Generation of Nonlinear Finite Element Codes
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Tangent operators and design sensitivity formulations for transient non‐linear coupled problems with applications to elastoplasticity
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Symbolic computation and parallel software
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Object-Oriented Symbolic Derivation and Automatic Programming of Finite Elements in Mechanics
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An Object-Oriented Framework for Reliable Numerical Simulations
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The need for high-level programming support in scientific computing applied to mechanical analysis
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Automatic generation of finite-element code by simultaneous optimization of expressions
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Automatic differentiation of algorithms
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Finite element simulations using symbolic computing
inferredcites →https://doi.org/10.1016/s0747-7171(86)80029-3openalex-snapshot
FINGER: A Symbolic System for Automatic Generation of Numerical Programs in Finite Element Analysis
inferredcites →https://doi.org/10.1109/mcse.1997.615427openalex-snapshot
Problem-solving Environments For Computational Science
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Software components using symbolic computation for problem solving environments
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New results for random determination of equivalence of expressions
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Hybrid system for multi-language and multi-environment generation of numerical codes
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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inferred← citeshttps://doi.org/10.1016/j.cma.2023.116101openalex-snapshot
Multifield finite strain plasticity: Theory and numerics
inferred← citeshttps://doi.org/10.1016/j.cma.2023.116189openalex-snapshot
An implicit stress update algorithm for the plastic nonlocal damage model of concrete
inferred← citeshttps://doi.org/10.1016/j.cma.2023.116192openalex-snapshot
A novel continuum mechanical framework for decoupled material behavior in thickness and in-plane directions
inferred← citeshttps://doi.org/10.1016/j.cma.2024.116783openalex-snapshot
A monolithic fluid–structure interaction approach using mixed LSFEM with high-order time integration
inferred← citeshttps://doi.org/10.1016/j.cma.2024.117063openalex-snapshot
Theory and implementation of inelastic Constitutive Artificial Neural Networks
inferred← citeshttps://doi.org/10.1016/j.cma.2024.117535openalex-snapshot
A multi-field decomposed model order reduction approach for thermo-mechanically coupled gradient-extended damage simulations
inferred← citeshttps://doi.org/10.1016/j.cma.2025.117790openalex-snapshot
Gaussian process regression + deep neural network autoencoder for probabilistic surrogate modeling in nonlinear mechanics of solids
inferred← citeshttps://doi.org/10.1016/j.cmpb.2020.105527openalex-snapshot
Beam-inside-beam contact: Mechanical simulations of slender medical instruments inside the human body
inferred← citeshttps://doi.org/10.1016/j.commatsci.2015.09.048openalex-snapshot
Computational and theoretical aspects of a grain-boundary model that accounts for grain misorientation and grain-boundary orientation
inferred← citeshttps://doi.org/10.1016/j.compbiomed.2022.106166openalex-snapshot
A multiphysics modeling approach for in-stent restenosis
inferred← citeshttps://doi.org/10.1016/j.compbiomed.2023.107623openalex-snapshot
Mechanical modeling of the maturation process for tissue-engineered implants: Application to biohybrid heart valves
inferred← citeshttps://doi.org/10.1016/j.compbiomed.2023.107686openalex-snapshot
Computational modeling of in-stent restenosis: Pharmacokinetic and pharmacodynamic evaluation
inferred← citeshttps://doi.org/10.1016/j.compositesb.2017.05.004openalex-snapshot
Micromechanical and numerical analysis of packing and size effects in elastic particulate composites
inferred← citeshttps://doi.org/10.1016/j.compstruc.2009.01.011openalex-snapshot
Improved 4-node Hu–Washizu elements based on skew coordinates
inferred← citeshttps://doi.org/10.1016/j.compstruc.2009.10.001openalex-snapshot
Direct computation of critical points based on Crout’s elimination and diagonal subset test function
inferred← citeshttps://doi.org/10.1016/j.compstruc.2015.03.009openalex-snapshot
Highly efficient solid and solid-shell finite elements with mixed strain–displacement assumptions specifically set up for explicit dynamic simulations using symbolic programming
inferred← citeshttps://doi.org/10.1016/j.compstruc.2018.08.001openalex-snapshot
Simple and extensible plate and shell finite element models through automatic code generation tools
inferred← citeshttps://doi.org/10.1016/j.compstruc.2019.07.002openalex-snapshot
Easy pre/post-processing of finite elements with custom symbolic-objects: A self-expressive Python interface
inferred← citeshttps://doi.org/10.1016/j.compstruc.2025.107744openalex-snapshot
Micromechanical and numerical analysis of shape and packing effects in elastic-plastic particulate composites
inferred← citeshttps://doi.org/10.1016/j.compstruc.2026.108169openalex-snapshot
Dynamic relaxation method with finite rotations and automatic mass-tuning for the static analysis of lightweight structures
inferred← citeshttps://doi.org/10.1016/j.compstruc.2026.108322openalex-snapshot
Simulation of finite-strain viscoelasticity under uncertainties using time-separated stochastic mechanics
inferred← citeshttps://doi.org/10.1016/j.compstruct.2015.12.007openalex-snapshot
Finite-strain laminates: Bending-enhanced hexahedron and delamination
inferred← citeshttps://doi.org/10.1016/j.compstruct.2024.118583openalex-snapshot
Geometrically nonlinear analysis of layered beams using symbolic approach
inferred← citeshttps://doi.org/10.1016/j.enganabound.2022.02.010openalex-snapshot
Moving least-squares in finite strain analysis with tetrahedra support
inferred← citeshttps://doi.org/10.1016/j.engappai.2024.108055openalex-snapshot
MAgNET: A graph U-Net architecture for mesh-based simulations
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2015.10.042openalex-snapshot
Damage and fracture algorithm using the screened Poisson equation and local remeshing
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2017.11.017openalex-snapshot
Effective 2D and 3D crack propagation with local mesh refinement and the screened Poisson equation
inferred← citeshttps://doi.org/10.1016/j.engstruct.2015.05.035openalex-snapshot
A finite strain quadrilateral based on least-squares assumed strains
inferred← citeshttps://doi.org/10.1016/j.engstruct.2016.06.035openalex-snapshot
Semi-implicit finite strain constitutive integration and mixed strain/stress control based on intermediate configurations
inferred← citeshttps://doi.org/10.1016/j.engstruct.2016.07.005openalex-snapshot
Dynamics of offshore risers using a geometrically-exact beam model with hydrodynamic loads and contact with the seabed
inferred← citeshttps://doi.org/10.1016/j.engstruct.2023.116800openalex-snapshot
Load introduction to composite columns revisited—Significance of force allocation and shear connection stiffness
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2003.10.001openalex-snapshot
The effect of stacking fault energy on the formation of stress-induced internally faulted martensite plates
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2016.10.008openalex-snapshot
Finite-strain low order shell using least-squares strains and two-parameter thickness extensibility
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2016.10.013openalex-snapshot
A robust and efficient radial return algorithm based on incremental energy minimization for the 3D Souza-Auricchio model for shape memory alloys
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2017.11.001openalex-snapshot
Elastic-plastic properties of metal matrix composites: Validation of mean-field approaches
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2018.09.003openalex-snapshot
Finite strain analysis of limestone / basaltic magma interaction and fracture: Low order mixed tetrahedron and remeshing
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2020.104117openalex-snapshot
Coupled finite-element/topology optimization of continua using the Newton-Raphson method
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2023.105121openalex-snapshot
Gradient-extended damage modelling for polymeric materials at finite strains: Rate-dependent damage evolution combined with viscoelasticity
inferred← citeshttps://doi.org/10.1016/j.finel.2008.05.002openalex-snapshot
Nine-node shell elements with 6 dofs/node based on two-level approximations. Part I
inferred← citeshttps://doi.org/10.1016/j.finel.2010.10.006openalex-snapshot
Semi-analytical solution of path-independent nonlinear finite element models
inferred← citeshttps://doi.org/10.1016/j.finel.2012.11.003openalex-snapshot
Reduction of mesh distortion effects for nine-node elements using corrected shape functions
inferred← citeshttps://doi.org/10.1016/j.finel.2012.11.006openalex-snapshot
Assumed-metric spherically interpolated quadrilateral shell element
inferred← citeshttps://doi.org/10.1016/j.finel.2013.12.002openalex-snapshot
Sensitivity analysis based crack propagation criterion for compressible and (near) incompressible hyperelastic materials
inferred← citeshttps://doi.org/10.1016/j.finel.2015.01.004openalex-snapshot
Finite strain quadrilateral shell using least-squares fit of relative Lagrangian in-plane strains
inferred← citeshttps://doi.org/10.1016/j.finel.2015.05.005openalex-snapshot
Semi-implicit finite strain constitutive integration of porous plasticity models
inferred← citeshttps://doi.org/10.1016/j.finel.2015.09.010openalex-snapshot
Least-squares finite strain hexahedral element/constitutive coupling based on parametrized configurations and the Löwdin frame
inferred← citeshttps://doi.org/10.1016/j.finel.2015.12.002openalex-snapshot
Closed-form representation of matrix functions in the formulation of nonlinear material models
inferred← citeshttps://doi.org/10.1016/j.finel.2016.07.008openalex-snapshot
Nonlinear dynamic analysis of creased shells
inferred← citeshttps://doi.org/10.1016/j.finel.2017.01.003openalex-snapshot
Analysis of experimentally assessed EVA foams with mixed solid-shell elements capable of very large strains
inferred← citeshttps://doi.org/10.1016/j.finel.2017.05.001openalex-snapshot
Steiner-point free edge cutting of tetrahedral meshes with applications in fracture
inferred← citeshttps://doi.org/10.1016/j.finel.2018.01.006openalex-snapshot
General constitutive updating for finite strain formulations based on assumed strains and the Jacobian
inferred← citeshttps://doi.org/10.1016/j.finel.2019.05.006openalex-snapshot
Material model calibration against axial-torsion-pressure experiments accounting for the non-uniform stress distribution
inferred← citeshttps://doi.org/10.1016/j.finel.2019.07.003openalex-snapshot
A continuous-stress tetrahedron for finite strain problems
inferred← citeshttps://doi.org/10.1016/j.finel.2019.103321openalex-snapshot
A simple and robust Coulomb frictional algorithm based on 3 additional degrees-of-freedom and smoothing
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