Formulation and analysis of a three-dimensional finite element implementation for adhesive contact at the nanoscale

DOI10.1016/j.cma.2009.08.019zbMath1231.74438OpenAlexW2084450034WikidataQ64017354 ScholiaQ64017354MaRDI QIDQ658680

Roger A. Sauer, Peter Wriggers

Publication date: 8 February 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2009.08.019

zbMATH Keywords

nonlinear continuum mechanicsnonlinear finite element methodscomputational contactgecko adhesionnanoscale adhesion

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (10)

A chemo-mechano-thermodynamical contact theory for adhesion, friction, and (de)bonding reactions ⋮ Enriched contact finite elements for stable peeling computations ⋮ Dynamics of a Soft Contractile Body on a Hard Support ⋮ Modelling of spontaneous adhesion phenomena in Micro-Electro-Mechanical Systems ⋮ Beam formulation and FE framework for architected structures under finite deformations ⋮ An energy-momentum-conserving temporal discretization scheme for adhesive contact problems ⋮ A custom arc‐length Finite Element solver for large deformation adhesive contacts using a k‐d tree accelerated volumetric interaction scheme ⋮ A computational contact formulation based on surface potentials ⋮ Contact problem with bulk-applied intermolecular interaction forces: a simplified solution method (two-level model) ⋮ The contact problem with the bulk application of intermolecular interaction forces: distinctive features of the subsurface stresses

Cites Work

• Unnamed Item
• Numerical simulations of fast crack growth in brittle solids
• A model of adhesion coupled to contact and friction
• A consistent model coupling adhesion, friction, and unilateral contact
• An introduction to continuum mechanics
• Computational mechanics modelling of cell-substrate contact during cyclic substrate deformation
• A mixed interface finite element for cohesive zone models
• A contact mechanics model for quasi-continua
• A method for solving contact problems
• Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis
• Application of augmented Lagrangian techniques for non‐linear constitutive laws in contact interfaces
• Coupling of Navier–Stokes equations with protein molecular dynamics and its application to hemodynamics
• Computational Contact Mechanics

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