A three-dimensional nonlinear meshfree algorithm for simulating mechanical responses of soft tissue
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Publication:463461
DOI10.1016/j.enganabound.2013.08.014zbMath1297.74076OpenAlexW1987257409MaRDI QIDQ463461
J. Herrera, D. Rodríguez-Gómez
Publication date: 16 October 2014
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://api.research-repository.uwa.edu.au/ws/files/9707213/A_three_dimensional_nonlinear_meshfree_algorithm_for_simulating_mechanical_responses_of_soft_tissue_1.pdf
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element methods applied to problems in solid mechanics (74S05) Soil and rock mechanics (74L10) Medical applications (general) (92C50)
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Cites Work
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- Dispersion and transient analyses of Hermite reproducing kernel Galerkin meshfree method with sub-domain stabilized conforming integration for thin beam and plate structures
- Three dimensional efficient meshfree simulation of large deformation failure evolution in soil medium
- A comparison of implicit and explicit natural element methods in large strains problems: application to soft biological tissues modeling
- Computation of intra-operative brain shift using dynamic relaxation
- A meshless local Kriging method for large deformation analyses
- A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
- Numerical integration of the Galerkin weak form in meshfree methods
- Meshless methods: An overview and recent developments
- Reproducing kernel particle methods for large deformation analysis of nonlinear structures
- Numerical simulations of large deformation of thin shell structures using meshfree methods
- A coupled finite element -- element-free Galerkin method
- A pseudo-elastic local meshless method for analysis of material nonlinear problems in solids
- A three-dimensional large deformation meshfree method for arbitrary evolving cracks
- On the employ of meshless methods in biomechanics
- Smoothed Point Interpolation Methods
- A GALERKIN MESHFREE METHOD WITH STABILIZED CONFORMING NODAL INTEGRATION FOR GEOMETRICALLY NONLINEAR ANALYSIS OF SHEAR DEFORMABLE PLATES
- An adaptive dynamic relaxation method for solving nonlinear finite element problems. Application to brain shift estimation
- Meshfree Particle Methods
- Total Lagrangian explicit dynamics finite element algorithm for computing soft tissue deformation
- A meshless Total Lagrangian explicit dynamics algorithm for surgical simulation
- Meshfree and finite element nodal integration methods
- Surfaces Generated by Moving Least Squares Methods
- Element‐free Galerkin methods
- A unified stability analysis of meshless particle methods
- Assessment and applications of point interpolation methods for computational mechanics
- Non-linear version of stabilized conforming nodal integration for Galerkin mesh-free methods
- Stable time step estimates for mesh‐free particle methods
- GEOMETRICALLY NONLINEAR ANALYSIS OF MICROSWITCHES USING THE LOCAL MESHFREE METHOD
- EDGE-BASED SMOOTHED POINT INTERPOLATION METHODS
- A NORMED G SPACE AND WEAKENED WEAK (W2) FORMULATION OF A CELL-BASED SMOOTHED POINT INTERPOLATION METHOD
- A LINEARLY CONFORMING POINT INTERPOLATION METHOD (LC-PIM) FOR 2D SOLID MECHANICS PROBLEMS