An adaptive isogeometric analysis meshfree collocation method for elasticity and frictional contact problems

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Friction in solid mechanics (74M10) Contact in solid mechanics (74M15)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Isogeometric collocation for elastostatics and explicit dynamics
An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces
A mortar formulation for 3D large deformation contact using NURBS-based isogeometric analysis and the augmented Lagrangian method
A hierarchical approach to adaptive local refinement in isogeometric analysis
Isogeometric large deformation frictionless contact using T-splines
Isogeometric analysis using LR B-splines
A computational contact formulation based on surface potentials
Contact treatment in isogeometric analysis with NURBS
Isogeometric analysis using T-splines
Adaptive isogeometric analysis by local \(h\)-refinement with T-splines
Robustness of isogeometric structural discretizations under severe mesh distortion
Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
A meshfree method based on the local partition of unity for cohesive cracks
Contact of dissimilar elastic cylinders under normal and tangential loading
Meshless methods: An overview and recent developments
Moving least-square reproducing kernel method. II: Fourier analysis
Numerical simulations of large deformation of thin shell structures using meshfree methods
New boundary condition treatments in meshfree computation of contact problems
Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis
Isogeometric collocation: Neumann boundary conditions and contact
Isogeometric collocation methods for the Reissner-Mindlin plate problem
An isogeometric collocation approach for Bernoulli-Euler beams and Kirchhoff plates
An isogeometric collocation method using superconvergent points
Mechanics of fretting fatique
Adaptive refinement of hierarchical T-splines
Contact stiffness of regularly patterned multi-asperity interfaces
Isogeometric analysis of large-deformation thin shells using RHT-splines for multiple-patch coupling
Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
NURBS- and T-spline-based isogeometric cohesive zone modeling of interface debonding
Isogeometric collocation for large deformation elasticity and frictional contact problems
A large deformation frictional contact formulation using NURBS-based isogeometric analysis
An unbiased computational contact formulation for 3D friction
Coupling of mesh-free methods with finite elements: basic concepts and test results
A contact mechanics model for quasi-continua
The approximation power of moving least-squares
Element‐free Galerkin methods
Isogeometric contact: a review
Computational Contact Mechanics
A meshfree contact-detection algorithm
Extended isogeometric analysis based on PHT-splines for crack propagation near inclusions
The role of Bézier extraction in adaptive isogeometric analysis: local refinement and hierarchical refinement