A custom arc‐length Finite Element solver for large deformation adhesive contacts using a k‐d tree accelerated volumetric interaction scheme

Special kinds of problems in solid mechanics (74Mxx) Numerical and other methods in solid mechanics (74Sxx) Equilibrium (steady-state) problems in solid mechanics (74Gxx)

Cites Work

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JKR adhesion in cylindrical contacts
NURBS-enriched contact finite elements
A computational contact formulation based on surface potentials
Formulation and analysis of a three-dimensional finite element implementation for adhesive contact at the nanoscale
Effects of thickness on the largely-deformed JKR (Johnson-Kendall-Roberts) test of soft elastic layers
An incremental approach to the solution of snapping and buckling problems
Quad trees: A data structure for retrieval by composite keys
On the determination of the path direction for arc-length methods in the presence of bifurcations and `snap-backs'
An adhesive contact mechanics formulation based on atomistically induced surface traction
A three-dimensional surface stress tensor formulation for simulation of adhesive contact in finite deformation
The Bordering Algorithm and Path Following Near Singular Points of Higher Nullity
A contact mechanics model for quasi-continua
An arc-length method including line searches and accelerations
A simple error estimator and adaptive procedure for practical engineerng analysis
Computation of post-bifurcation and post-failure behavior of strain-softening solids
An improved automatic incremental algorithm for the efficient solution of nonlinear finite element equations
Incremental displacement algorithms for nonlinear problems
A fast incremental/iterative solution procedure that handles “snap-through”
Multidimensional binary search trees used for associative searching
A new arc-length method for handling sharp snap-backs
Computational Contact Mechanics
The Application of Newton’s Method to the Problem of Elastic Stability

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