An implicit updated Lagrangian fragile points method with a support domain refinement scheme for solving large deformation problems
From MaRDI portal
Publication:6557506
DOI10.1002/nme.7455zbMATH Open1548.74012MaRDI QIDQ6557506
Zetao Ke, Satya N. Atluri, Leiting Dong, Mingjing Li, Xueyan Dai
Publication date: 18 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
large deformationsimplicit solution schemesupport domain refinement schemeupdated Lagrangian fragile points method
Finite element methods applied to problems in solid mechanics (74S05) Kinematics of deformation (74A05)
Cites Work
- On the spatial formulation of discontinuous Galerkin methods for finite elastoplasticity
- A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
- An engineering perspective to the virtual element method and its interplay with the standard finite element method
- Some basic formulations of the virtual element method (VEM) for finite deformations
- A new fragile points method (FPM) in computational mechanics, based on the concepts of point stiffnesses and numerical flux corrections
- Smoothed particle hydrodynamics: theory and application to non-spherical stars
- The finite difference method at arbitrary irregular grids and its application in applied mechanics
- Element‐free Galerkin methods
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- The Hitchhiker's Guide to the Virtual Element Method
- Distance minimizing based <scp>data‐driven</scp> computational method for the finite deformation of hyperelastic materials
- A stepwise physics‐informed neural network for solving large deformation problems of hypoelastic materials
- Hourglassing‐ and locking‐free mesh distortion insensitive Petrov–Galerkin EAS element for large deformation solid mechanics
- A Fragile Points Method, with an interface debonding model, to simulate damage and fracture of U‐notched structures
- An explicit total Lagrangian fragile points method for finite deformation of hyperelastic materials
- A Simple Galerkin Meshless Method, the Fragile Points Method (FPM) Using Point Stiffness Matrices, for 2D Linear Elastic Problems in Complex Domains with Crack and Rupture Propagation
- Hyperelastic finite deformation analysis with the unsymmetric finite element method containing homogeneous solutions of linear elasticity
- Mesh distortion insensitive and locking-free Petrov-Galerkin low-order EAS elements for linear elasticity
- Meshless physics-informed deep learning method for three-dimensional solid mechanics
- Imposition of essential boundary conditions in the material point method
This page was built for publication: An implicit updated Lagrangian fragile points method with a support domain refinement scheme for solving large deformation problems