A quasi-meshfree method for nonlinear solid mechanics: separating domain discretization from solution discretization

Contact in solid mechanics (74M15) Linear elasticity with initial stresses (74B10) Finite element methods applied to problems in solid mechanics (74S05)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Quasi-convex reproducing kernel meshfree method
Effect of numerical integration on meshless methods
Imposing essential boundary conditions in mesh-free methods
Numerical integration of the Galerkin weak form in meshfree methods
Reproducing kernel particle methods for large deformation analysis of nonlinear structures
An \(h\)-\(p\) adaptive method using clouds
Consistent pseudo-derivatives in meshless methods
New boundary condition treatments in meshfree computation of contact problems
The gradient discretisation method
Cell-based maximum-entropy approximants
Polyhedral finite elements for nonlinear solid mechanics using tetrahedral subdivisions and dual-cell aggregation
Conforming window functions for meshfree methods
Consistent weak forms for meshfree methods: full realization of \(h\)-refinement, \(p\)-refinement, and \(a\)-refinement in strong-type essential boundary condition enforcement
An accuracy analysis of Galerkin meshfree methods accounting for numerical integration
Meshfree generalized multiscale finite element method
An inherently consistent reproducing kernel gradient smoothing framework toward efficient Galerkin meshfree formulation with explicit quadrature
A paradigm for higher-order polygonal elements in finite elasticity using a gradient correction scheme
Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
Interpolation-based immersed finite element and isogeometric analysis
Partial Differential Equations in Action
An arbitrary order variationally consistent integration for Galerkin meshfree methods
A displacement-based finite element formulation for general polyhedra using harmonic shape functions
Gradient correction for polygonal and polyhedral finite elements
An accelerated, convergent, and stable nodal integration in Galerkin meshfree methods for linear and nonlinear mechanics
The Discrete Geodesic Problem
A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measures
Localmaximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods
Multiscale Finite Element Methods
Overview and construction of meshfree basis functions: from moving least squares to entropy approximants
Computing geodesic paths on manifolds
Surfaces Generated by Moving Least Squares Methods
Element‐free Galerkin methods
Reproducing kernel particle methods
Quasi-Interpolation
Analysis-aware defeaturing: Problem setting and a posteriori estimation
Numerical Homogenization by Localized Orthogonal Decomposition
Nonlinear Continuum Mechanics for Finite Element Analysis
Gaussian quadrature formulas for triangles
Scattered Data Approximation
Continuous meshless approximations for nonconvex bodies by diffraction and transparency
A consistent projection integration for Galerkin meshfree methods
A quasi-meshfree method for constructing boundary-aware reproducing bases on geometrically complex domains using manifold geodesics

This page was built for publication: A quasi-meshfree method for nonlinear solid mechanics: separating domain discretization from solution discretization