A selective smoothed finite element method with visco-hyperelastic constitutive model for analysis of biomechanical responses of brain tissues
DOI10.1002/nme.6515zbMATH Open1543.74066MaRDI QIDQ6554338
Shao-Wei Wu, G. Liu, Chen Jiang, Chao Jiang
Publication date: 12 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
large deformationvolumetric lockingsoft tissuestotal Lagrangian formulationsmoothed finite element methodsoftening effectsvisco-hyperelasticitybrain tissue
Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Biomechanics (92C10) Physiology (general) (92C30) Biomechanical solid mechanics (74L15) Nonlinear constitutive equations for materials with memory (74D10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A cell-based smoothed finite element method using three-node shear-locking free Mindlin plate element (CS-FEM-MIN3) for dynamic response of laminated composite plates on viscoelastic foundation
- A node-based smoothed finite element method (NS-Fem) for upper bound solution to visco-elastoplastic analyses of solids using triangular and tetrahedral meshes
- Real-time registration of volumetric brain MRI by biomechanical simulation of deformation during image guided neurosurgery
- Smoothed finite element methods (S-FEM): an overview and recent developments
- A smoothed finite element method for mechanics problems
- A novel FEM by scaling the gradient of strains with factor \(\alpha\) (\(\alpha\)FEM)
- A novel Galerkin-like weakform and a superconvergent alpha finite element method (S\(\alpha \)FEM) for mechanics problems using triangular meshes
- An edge-based smoothed finite element method for visco-elastoplastic analyses of 2D solids using triangular mesh
- Formulation and implementation of three-dimensional viscoelasticity at small and finite strains
- A formulation of elasticity and viscoelasticity for fibre-reinforced material at small and finite strains
- Adaptive dynamic relaxation algorithm for nonlinear hyperelastic structures. I: Formulation.
- An edge-based/node-based selective smoothed finite element method using tetrahedrons for cardiovascular tissues
- A linear smoothed higher-order CS-FEM for the analysis of notched laminated composites
- An edge-based finite element method (ES-FEM) with adaptive scaled-bubble functions for plane strain limit analysis
- Update-grid reanalysis method based on NS-FEM for 3D heat transfer problems
- A structural model for the viscoelastic behavior of arterial walls: continuum formulation and finite element analysis.
- A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner-Mindlin plates
- A novel alpha finite element method (\(\alpha \)FEM) for exact solution to mechanics problems using triangular and tetrahedral elements
- ADDITIONAL PROPERTIES OF THE NODE-BASED SMOOTHED FINITE ELEMENT METHOD (NS-FEM) FOR SOLID MECHANICS PROBLEMS
- An edge-based smoothed finite element method (ES-FEM) using 3-node triangular elements for 3D non-linear analysis of spatial membrane structures
- Selective smoothed finite element methods for extremely large deformation of anisotropic incompressible bio-tissues
- A novel hybrid FS-FEM/SEA for the analysis of vibro-acoustic problems
- FREE AND FORCED VIBRATION ANALYSIS USING THE n-SIDED POLYGONAL CELL-BASED SMOOTHED FINITE ELEMENT METHOD (nCS-FEM)
- A theoretical study on the smoothed FEM (S-FEM) models: Properties, accuracy and convergence rates
- Adaptive analysis using the node-based smoothed finite element method (NS-FEM)
- A Smoothed Finite Element Method (SFEM) for Linear and Geometrically Nonlinear Analysis of Plates and Shells
- Total Lagrangian explicit dynamics finite element algorithm for computing soft tissue deformation
- A face-based smoothed finite element method (FS-FEM) for 3D linear and geometrically non-linear solid mechanics problems using 4-node tetrahedral elements
- Theoretical aspects of the smoothed finite element method (SFEM)
- A finite element formulation for nonlinear incompressible elastic and inelastic analysis
- A uniform strain hexahedron and quadrilateral with orthogonal hourglass control
- Lower Bound of Vibration Modes Using the Node-Based Smoothed Finite Element Method (NS-FEM)
- ON G SPACE THEORY
- A Locking-Free Face-Based S-FEM via Averaging Nodal Pressure using 4-Nodes Tetrahedrons for 3D Explicit Dynamics and Quasi-statics
- A Stabilization Method of F-barES-FEM-T4 for Dynamic Explicit Analysis of Nearly Incompressible Materials
- Solution Bounds and Nearly Exact Solutions for 3D Nonlinear Problems of Large Deformation of Solids Using S-Fem
- A G space theory and a weakened weak (W2 ) form for a unified formulation of compatible and incompatible methods: Part II applications to solid mechanics problems
- Nonlinear Solid Mechanics for Finite Element Analysis: Statics
- Large strain viscoelastic constitutive models.
- A new constitutive framework for arterial wall mechanics and a comparative study of material models
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