A linear smoothed higher-order CS-FEM for the analysis of notched laminated composites

Wan, Detao; Hu, Dean; Natarajan, Sundararajan; Bordas, Stéphane P.A.; Long, Ting

doi:10.1016/j.enganabound.2017.10.003

Cited by 11 publications

(1 citation statement)

References 49 publications

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“…A solution to this problem, the smoothed finite element method (S‐FEM) based on generalized smoothed Galerkin (GS‐Galerkin) weak form, was proposed by Liu et al 26‐29 The strain smoothing technique 30 is used to convert the element‐based calculations of standard FEM into different smoothing domain calculations. According to the way to construct smooth domains in element, smoothed finite elements are classified into node‐based smoothed FEM (NS‐FEM), 31‐38 Cell‐based smoothed FEM (CS‐FEM), 39‐43 edge‐based smoothed FEM (ES‐FEM), 44‐49 and face‐based smoothed FEM (FS‐FEM), 50‐53 etc. A large number of numerical experiments show that ES‐FEM and FS‐FEM have excellent h‐convergence characteristics, accuracy and temporal and spatial stability, which can greatly improve the performance of tetrahedral elements 53 .…”

Section: Introductionmentioning

confidence: 99%

A selective smoothed finite element method with visco‐hyperelastic constitutive model for analysis of biomechanical responses of brain tissues

Jiang

et al. 2020

Numerical Meth Engineering

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Brain tissues are known for exhibiting complex nonlinear and time-dependent properties, which require visco-hyperelastic constitutive models for proper simulation. In this paper, a Total Lagrangian Explicit Selective Smoothed Finite Element Method (Selective S-FEM) is formulated to analyze the dynamic behavior of incompressible brain tissues undergoing extremely large deformation. The proposed Selective S-FEM deals with three-dimensional problems using four-node tetrahedron elements that can be automatically generated for geometrically complex soft tissues. It consists of the three key ingredients. (i) A visco-hyperelastic constitutive model is developed within the framework of S-FEM in the first time, allowing adequate modeling of the dynamic brain tissue behavior. (ii) Selective S-FEM strategy is used for overcome the mesh distortion and the volumetric locking that often occurs in soft tissues. (iii) Total Lagrangian formulation is used in an explicit algorithm allowing rigorous simulation of extreme large deformation. (iv) A combined implementation of Selective S-FEM with the visco-hyperelastic constitutive model for dynamic simulations. The shear deformation is calculated by Face/Edge-based S-FEM, and the volume deformation is calculated by NS-FEM. Numerical experiments show that Selective S-FEM is a robust solver with good accuracy, and excellent ability to reduce element distortion effects in simulate time-dependence behavior of bio-tissues.

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Section: Introductionmentioning

confidence: 99%

A selective smoothed finite element method with visco‐hyperelastic constitutive model for analysis of biomechanical responses of brain tissues

Jiang

et al. 2020

Numerical Meth Engineering

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Stochastic interval analysis for structural natural frequencies based on stochastic hybrid perturbation edge-based smoothing finite element method

Chen

et al. 2019

Engineering Analysis with Boundary Elements

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Evaluation of equivalent material properties of reinforced composites by a novel smoothed rebar element technique

Zhang

Wan

2019

Engineering Analysis with Boundary Elements

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A linear smoothed higher-order CS-FEM for the analysis of notched laminated composites

Cited by 11 publications

References 49 publications

A selective smoothed finite element method with visco‐hyperelastic constitutive model for analysis of biomechanical responses of brain tissues

A selective smoothed finite element method with visco‐hyperelastic constitutive model for analysis of biomechanical responses of brain tissues

Stochastic interval analysis for structural natural frequencies based on stochastic hybrid perturbation edge-based smoothing finite element method

Evaluation of equivalent material properties of reinforced composites by a novel smoothed rebar element technique

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